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 Gjgbci vo Xgyķsgb Mgvrgkbgrķ (Gjgbci gjn Nfiftgb) EÐBÒK 7 Gkgébgr  Gjgbci vo Xgyķsgb Mgvrgkbgrķjķ ķmbgkgm  Gjgbci fœgrot, gjgbci novro / sfstok vo gjgbci iðstorio torfkborfjf tgjķkbgkgm  Xgyķsgb fœgrot, sgyķsgb novro / sfstok vo sgyķsgb iðstorio torfkborfjf tgjķkbgkgm  Gjgbci vo sgyķsgb tomjfmborfj ðobbfmborfjf géķmbgkgm  Gjgbci vo sgyķsgb tomjfmbor grgsķjngmf !grmbgrķ iðstorkom  Gjgbci "fbifborfj sgyķsgb "fbifboro voyg sgyķsgb "fbifborfj gjgbci "fbifboro nðj#œ#k fœbokfjf ķmbgkgm Egœbķmbgr Gjgbci E#y#mb#m, Gjgbci $œgrot, Gjgbci %ðstorio vo Gjgbci Xfstok Xgyķsgb E#y#mb#m, Xgyķsgb $œgrot, Xgyķsgb Xfstok vo Xgyķsgb %ðstorio Xgyķsgb vo Gjgbci &omjfmborfj Mgrœķbgœtķrķbkgsķ

Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Gjgbci vo XgyķsgbMgvrgkbgrķ

(Gjgbci gjn Nfiftgb)

EÐBÒK

7

Gkgébgr 

Gjgbci vo Xgyķsgb Mgvrgkbgrķjķ géķmbgkgm 

 

Gjgbci fœgrot, gjgbci novro / sfstok vo gjgbci iðstorio torfkborfjf tgjķkbgkgm 

 

Xgyķsgb fœgrot, sgyķsgb novro / sfstok vo sgyķsgb iðstorio torfkborfjf tgjķkbgkgm  

Gjgbci vo sgyķsgb tomjfmborfj ðobbfmborfjf géķmbgkgm 

 

Gjgbci vo sgyķsgb tomjfmbor grgsķjngmf !grmbgrķ iðstorkom 

 

Gjgbci "fbifborfj sgyķsgb "fbifboro voyg sgyķsgb "fbifborfj gjgbci "fbifboro nðj#œ#k fœbokfjf

géķmbgkgm 

Egœbķmbgr

• Gjgbci E#y#mb#m, Gjgbci $œgrot, Gjgbci %ðstorio vo Gjgbci Xfstok

• Xgyķsgb E#y#mb#m, Xgyķsgb $œgrot, Xgyķsgb Xfstok vo Xgyķsgb %ðstorio• Xgyķsgb vo Gjgbci &omjfmborfj Mgrœķbgœtķrķbkgsķ

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Gjgbci vo Xgyķsgb Mgvrgkbgrķ'

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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%frfœ

Efbfk, tomjcbcdf, tfhgrot vo eojzorf efr écm gbgj eòyòmbòmbor fbo fbifbojkomtonfr. Eu gbgjbgrķjfbifbojnfēf eòyòmbòmbor !béòboefbko, i!ròjtòbojoefbko, mgynonfboefbko, grftkotfm cbgrgm"osg#bgjgefbko, ve. !zobbfmboro sg"f#tfr. Eòyòmbòmbor fbo f$bok yg#ķbnķēķ zgkgj cjbgrķj sg"f#cbnumbgrķ noēorborf otmfj vo iòvojbf cbgrgm f%gno otkom eòyòm efr !jok tg$ķr. Eòyòmbòmborfjsgyķsgb noēorborfjf f%gno otkono, gjgbci vo sgyķsgb cbgrgm fsfkbojnfrfboj fmf y!jtok mubbgjķbķr.

&%gno onfboj eòyòmbòmborfj, tg$ķjgefbfr %fzfmsob eòyòmbòmboro, !rjoēfj efr iorfbfk voyg gmķk$ombfjo n!jò$tòròbkoborf ioromoefbfr. 'fzfmsob efr cbgyķj(eòyòmbòēòj obomtrfmsob cbgrgmi!storfbkosf, )fœgrot* cbgrgm gnbgjnķrķbķr. +orom %fzfmsob eòyòmbòmborf n!jò$tòrko f$bokfjno,

ioromso no efbifjfj f$bojkosf ( fbotfbkosfjno tokob cbgrgm gjgbci vo sgyķsgb nfdftgb-f$grotbornoj %gyngbgjķbķr.

Gjgbci vo sgyķsgb f$grotbor !zobbfmborfjo uyiuj novroborno ( sfstokborno f$bokboro tgeftutubnumtgj scjrg, éķmķ$ efrfkf cbgrgm fsfkbojnfrfboj i!storiobor ygrnķkķybg fjsgjbgr féfjgjbgkbķ "gbo iotfrfbfr. umgrķng gjbgtķbgjbgr ķ$ķēķ gbtķjng mgr$ķkķzg gjgbci vo sgyķsgbmgvrgkbgrķ vo "or efr mgvrgk fbo efrbfmto eòyòmbòm, f$grot, sfstok vo i!storio torfkborf crtgygéķmkgmtgnķr.

7( Gjgbci E#y#mb#m, Gjgbci $œgrot, Gjgbci %ðstorio vo Gjgbci Xfstok 

Mosfjtfsfz cbgrgm sòrombf noēorbor gbgj vo sg"f# cbnumbgrķ noēorbor eobfrbf sķjķrbgr féorfsfjno

novgkbķ cbgrgm noēf$oj eòyòmbòm, )gjgbci "#y#mb#m*  cbgrgm fsfkbojnfrfbfr. /fēor efrnoyf$bo scjsuz sgyķng grg noēor gbgefboj eòyòmbòm, )gjgbci "#y#mb#m * cbgrgm tgjķkbgjķr.

Gjgbci eòyòmbòm efr mgrgycbujuj nurukujg eojzotfboefbfr ycbng gjf mosfjtfbor ycmtur,sòrombfbfēo sg"f#tfr. /cēgngmf %fzfmsob cbgybgrķj tgkgkķjg ygmķjķ ķsķjķj noēf$kosf, hgjbķbgrķjyg$gk ovroborf, ròzigrķj oskosf, ve.- gjgbci eòyòmbòmbornfr.

'fzfmsob efr eòyòmbòm gjgbci !zobbfēo sg"f#- efbif $ombfjo n!jò$tòròbòrmoj, efbifyf toksfbonoj f$grot ncērungj ncēruyg %fzfmsob eòyòmbòēòj eojzorf fso cbu$gj f$grot )gjgbci fœgrot*cbgrgm gnbgjnķrķbķr <omfb 7.7.g-. 5cm sgyķng grgnoēor gbgefboj vo sòrombf hcjtfjucus-f$grotbor cbgrgm ng fsfkbojnfrfboj gjgbci f$grotbor efb"gssg !béò vo gygr tomjfēfjnomubbgjķbķr.

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Gjgbci vo Xgyķsgb Mgvrgkbgrķ

+omfb 7(7( Gjgbci f$grot, gjgbci sfstok vo gjgbci i!storio.

+frf$ vo éķmķ$ f$grotborf $omfb cbgrgm eojzoyoj obomtrcjfm novroyo ( sfstoko, )gjgbci bfjoor8ncērusgb- novro* voyg )gjgbci sfstok*  nojfr <omfb 7.7.e-. Gjgbci sfstoko oj fyf !rjomkfmrc%cjbgrnķr. >fmrc%cjbgrng, mcju$kg fbo cbu$gj sos egsķjhķybg crgjtķbķ cbgrgm efr éķmķ$iorfbfkf òrotfbfr. ?rotfboj éķmķ$ iorfbfkfjfj noēorf, ifrf$tomf sos egsķjhķjg egēbķnķr. gyiķjcbgrgm mubbgjķbgj gjgbci sfstokboro !rjom cbgrgm, tobo%cj sfstokborf, kgjyotfm mgsotbor votorkcstgtbgr vorfboefbfr.

Gjgbci f$grotborf ifrf$ efbifsf cbgrgm mubbgjgj gjgbci sfstokfj éķmķ$ķjngj obno onfboj efbifbor,gjgbci i!storioborno gjbgkbķ "gbo iotfrfbfr. Eòyòmbòmborf, fmf sķjķr noēor grgsķjng écm sgyķnggrg noēorbor $ombfjno f%gno onoj i!storioboro, )gjgbci iðstorio* nojfr. Gjgbci efbifborfji!storfbkosf iojobno i!storio féorfsfjno smgbg vo fero fbo yg#ķbķr. 0tckcefbnomf "ķzi!storiosf, cngngmf torkcstgt gjgbci i!storiobornfr. Eu i!storioborno, ctckcefbnomf "ķzi!storiosfjfj 9 fbo 719 mk8sggt, gjgbci !béò gbotfjnomf smgbgjķj 9 fbo 79996 grgsķjng cbkgsķifef fmf sķjķr noēorf eubujur <omfb 7.7.h-.

'( Xgyķsgb E#y#mb#m, Xgyķsgb $œgrot, Xgyķsgb Xfstok vo Xgyķsgb %ðstorio

gbjķzhg fmf noēor gbgefboj vgr8ycm, géķm8mg#gbķ, ve.- eòyòmbòm, )sgyķsgb "#y#mb#m* cbgrgmfsfkbojnfrfbfr. &mf noēorbfmbf eòyòmbòm, f$grot $ombfjo n!jò$tòròbòrmoj ygbjķzhg fmf noēorosg"f# f$grot $ombfjno i!storfbfr. Xgyķsgb eòyòmbòēò i!storkom féfj mubbgjķbgj vo )9*, )7* ifeffmf noēor gbgefboj f$grot, )sgyķsgb fœgrot* cbgrgm gnbgjnķrķbķr <omfb 7.4.g-.

/fēor efr noyf$bo, s!zob cbgrgm )ncēru* voyg )ygjbķ$* cbgrgm f%gno onfboefboj %fmfrborkgtokgtfmsob cbgrgm )9* voyg )7* noēorborf fbo, %fzfmsob cbgrgm tg 96 voyg 96 46* tgj

 eòyòm efr iorfbfk fbo iojobno =26- iorfbfk fbo géķmbgjķrbgr.

Xgyķsgb f$grotfj gbnķēķ noēorbor zķ#bgygrgm gnķk gnķk- noēf$fr. Xgyķsgb f$grotto 9*ngj 7*o gjfnoēf$fk #czftf% y!jno fso )cftf! kgjtķm*, gjf noēf$fk joigtf% y!jno fso )joigtf! kgjtķm*cbgrgm tgjķkbgjķr <omfb 7.;-. Egzķ mgyjgmbgrng, :cdfm )9* nciruyu ( cbukbu nuruku( gmtf%

égbķ$kgyķ toksfb otkom féfj :cdfm )7* noiorf fso ygjbķ$ķ ( cbuksuz nuruku ( gmtf% cbkgkg

g- Gjgbci f$grot

-ķmķœ EfbifsfGjgbci +!storio,3bcttor, gzķhķ,Lc#grb!r, v.e.Gjgbci

Xfstok

òmsobtoébor,'fbtro gn c  m.H  H

%frfœ EfbifsfMuvvot, Egsķjé,

Xos, Xfjygb

 e- Gjgbci Xfstok  h- Gjgbci i!storio

 

7972

 

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Gjgbci vo Xgyķsgb Mgvrgkbgrķ

nurukuju toksfb otkom féfj mubbgjķbkgmtg vo eu kgjtķm )joigtf! kgjtķm*  cbgrgmfsfkbojnfrfbkomtonfr.

+omfb 7('( Xgyķsgb f$grot, sgyķsgb i!storio vo sgyķsgb sfstok. 

Xgyķsgb f$grotborfj gbnķmbgrķ noēorborf i!storkom féfj 987, :8L :cN8Lfi"- sokecbborfmubbgjķbķr. Xgyķsgb tomjfmto mubbgjķbgj eu sokecbborfj éo$ftbf %fzfmsob gjbgkbgrķ cbgefbfr.Xokecbborfj f%gno ottfēf gjbgkbgrngj efrmgéķ Ogebc 7.7*no sķrgbgjkgmtgnķr.

'fzfmsob eòyòmbòmborf voyg efbifborf sgyķsgb f$grotborbo ygbjķzhg 9 vo 7 noēorborfybo- f%gnoonorom f$boyoj novroboro ( sfstokboro, )sgyķsgb sfstokbor*  voyg )sgyķsgb novrobor*  nfdftgbnovrobor- nojfr <omfb 7.4.e-. Xgyķsgb sfstokborf cbu$turgj novrobor iojobno obomtrcjfm novroborcbkgmbg efrbfmto, komgjfm, kgjyotfm voyg #j!kgtfm cbgefbfr.

6 t

  7

7

9 t 86

+omfb 7(( 3czftf% vo joigtf% bcdfm f$grotbor.

Xgyķsgb sfstokborfj éķmķ$ķjngj obno onfboj efbifborf gjbg$ķbgefbfr eféfko n!jò$tòrkom féfjsgyķsgb i!storiobornoj %gyngbgjķbķr. Xgyķsgb i!storio cbgrgm, @ #grégbķ i!storio, sķvķ8mrfstgbi!storiobor :I/-, v.e. cbgrgm fsfkbojnfrfboj obokgjbgrngj %gyngbgjķbķr <omfb 7.4.h-. Euobokgjbgrķj !zobbfmborf fbifbf e!bòkborno fjhobojohomtfr. Xgyķsgb sfstokboro !rjom cbgrgm

g- 3czftf% :cdfm

<ct  3czftf% vo joigtf%bcdfm kgjtķmbķ egēbgjtķbgr efrgrgng mubbgjķbgkgz.

  e- Aoigtf% :cdfm

 e- Xgyķsgb Xfstok

:cdfm Xfstok

3IIck#utor,gzgr mgsg-

%frfœMbgvyo,Egrhcno0muyuhuOgrgyķhķ.

g.F

-ķmķœXgyķsgb i!storio ,

  gzķhķ, O6,  >cjftcr

:cN

6

7

9

g- Xgyķsgb &$grot

 Lfi"

t

h- Xgyķsgb +!storio

5

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Gjgbci vo Xgyķsgb Mgvrgkbgrķ

iojob gkgébķ sgyķsgb efbifsgygrbgr, sgyķsgb tobo%cj sgjtrgbborf, sgyķsgb vcbtkotrobor, %romgjssgyķhķbgr, trg%fm ķ$ķm mcjtrcb sfstokborf, "osg# kgmfjoborf, sgyķsgb sggtbor vo obomtrcjfmngmtfbcbgr i!storfboefbfr.

&g"bc 7(7( )9* vo )7* noēorborfjfj f%gno onoefbohoēf %fzfmsob gjbgkbgr.

Xgyķsgb sfstokborno mubbgjķbgj fmfbf noēorborf f%gno otkono mubbgjķbgj oj egsft obokgj, obomtrfmnovroborfjno mubbgjķbgj gjg"tgrnķr. Gjg"tgrķj nurukbgrķjķj )7* vo )9* noēorborf fbo f%gnoonfbnfēf sgyķsgb sfstokborno mubbgjķbgj efbifborfj fbotfbkosfjno, "or efr gjg"tgrķj nurukujui!storoj efbifjfj ( noēorfj fbotfbkosf féfj efr "gt mubbgjķbgefbohoēf ifef, nfzf "gbfjno eubujgjgjg"tgrbgrķj nurukbgrķjķ i!storoj efbifbor ( noēorbor tom efr "gttgj sķrg fbo no i!jnorfboefbfr.5cm sgyķng gjg"tgrķ toksfb onoj efbifborfj gyjķ gjng "gtbgrngj i!jnorfbkosf f$bokf )grgbob"fbif fbotfkf* cbgrgm, efbifborfj tom efr "gt òzorfjnoj zgkgj #gybg$ķkķ fbo i!jnorfbkosf f$bokf,)sorf "fbif fbotfkf* cbgrgm fsfkbojnfrfbfr.

Xgyķsgb sfstokbor yg#tķmbgrķ f$bokboro i!ro òé iojob iru# gbtķjng fjhobojoefbfrD

78 Efbo$fm Ickefjgtfcjgb- Xgyķsgb Xfstokbor D /ovrojfj éķmķ$ķ, ifrf$borfj c gjmfnuruku fbo ncērungj fbifbf cbgj bcdfm novrobornfr. Ookob bcdfm mg#ķbgrbg yg#ķbgj tgsgrķkbgr votc#bgyķhķ ( éķmgrķhķ novroborf efbo$fm novroboro !rjom cbgrgm i!storfboefbfr.

48 Grnķ$ķb Xouojtfgb- Xgyķsgb Xfstokbor D Xfstokfj, ng"g !jhonoj sg"f# cbnuēumcjuk vo "gbf "gzķrngmf ifrf$ noēf$mojborfjfj nurukbgrķjg egēbķ cbgrgm éķmķ$ òrotojsfstokbornfr. Grnķ$ķb novroboro !rjom cbgrgm sgyķhķbgr, mgynonfhfbor, v.e. novrobor vorfboefbfr.

;8 Eobbom Xtcrgio- Xfstokborf D Efbifborfj voyg Grnķ$ķb bcdfēfj eobfrbf efr nurukujujsgmbgjkgsķ gkghķybg mubbgjķbgj bcdfm novrobornfr.

  )8* , )B* )7* , )>*+orfbfk ycm +orfbfk 6gr  gjbķ$ /cēruMcjtgm géķm r!bo- Mcjtgm mg#gbķ r!bo-Lgyķr Bvot&$grot ycm &$grot vgr  0'' 0AXķ%ķr iorfbfk Aoigtf% voyg #czftf% iorfbfkOrgjsfst!r ygbķtmgj Orgjsfst!r fbotmoj7. 'romgjs 4.'romgjs/ovro égbķ$kķycr /ovro égbķ$ķycr 

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Gjgbci vo Xgyķsgb Mgvrgkbgrķ

( Xgyķsgb0Gjgbci &omjfmborfj %ojob Ðobbfmborf vo Xgyķsgb0Gjgbci &omjfmborfjMgrœķbgœtķrķbkgsķ

gbjķzhg nfdftgb f$grotbor fbo égbķ$gj sfstokbor )nfdftgb sfstok*, ygbjķzhg gjgbci f$grotborboégbķ$gj sfstokbor )gjgbci sfstok* cbgrgm fsfkbojnfrfbfrmoj, "ok nfdftgb "ok no gjgbci f$grotborfbo égbķ$gj sfstokbor )mgrkg sfstok* "ferft- cbgrgm fsfkbojnfrfbfrbor.

Bbomtrcjfmto ng"g !jho gjgbci tomjfm mubbgjķbgrgm yg#ķbgj uyiubgkgbgr iòjòkòzno sgyķsgbtomjfmbor mubbgjķbgrgm yg#ķbkgmtgnķr. Gjgbci vo sgyķsgb tomjfmborfj iojob !zobbfmborf fbogjgbci tomjfmtoj sgyķsgb tomjfm mubbgjkgyg ncēru cbgj eu tgboefj jonojborf $!ybo!zotbojoefbfrD

f8 Xgyķsgb sfstokborfj tgsgrķkķ ng"g mcbgynķrD Gjg"tgrbgkg kcjtgdķ mubbgjķbnķēķjngj,gmķk vo iorfbfkfj mosfj noēorborf !jokbf noēfbnfr. Kjokbf cbgj )7* vo )9* noēorborfnfr.

ff8 Xgyķsgb sfstokborno efbif sgmbgkgsķ mcbgynķrD Xgyķsgb sfstokborno mubbgjķbgjy!jtokborbo efbifborfj efr yoro mcjkgsķ, mcjubnuēu yornoj gbķjkgsķ vo ioromtfēf mgngr obnotutubkgsķ kòkmòjnòr.

fff8 /cērubum ghhurghy- vo efrefrfjo egēbgjgefbohom novroborfj sgyķsķ ng"g yòmsomtfrDGjgbci novrobor òé8n!rt egsgkgmbķ cbgefbfrmoj, sgyķsgb novroborno ng"g écm sgyķng novrojfj

 efrefrfybo frtfegtķ kòkmòjnòr. 5òjmò iorfbfk vo gmķk noēorborf ncērungj obomtrcjfmobokgjbgrg egēķkbķnķr.

fv8 Xgyķsgb novroborno f$bokbor #rcirgkbgjgefbfrD Xgyķsgb sfstokborf tgsgrbgkgm,sfstoknomf f$bokbor sgmbgjgefboj mckutbgr #rcirgk- tgrg%ķjngj mcjtrcb onfbnfēfjnoj

mcbgynķr. Gjgbci sfstokbor no #rcirgkbgjgefbfr gjhgm #rcirgkbgjgefbohom f$bokborfjosjombfēf vo mck#bomsbfēf cbnumég sķjķrbķnķr.

v8 Xgyķsgb novrobor iòròbtònoj ng"g gz otmfbojfrD Xfjygbborfj iòròbtònoj otmfbojkosfgjgbci sfstokbornomf mgngr mrftfm noēfbnfr. 5òjmò sgyķsgb sfjygbborfj noēorborf 7 vo 9 cbgrgmmgeub onfboj iorfbfk sķjķrbgrķjķ zcrbgkgnķēķ sòroho !jokbf noēfbnfr.

vf8 Xgyķsgb sfstokborno efr ojtoiro féorfsfjo ng"g %gzbg sgyķng sgyķsgb novro obokgjķyorbo$tfrfboefbfrD Xgyķsgb sfstokbor tòkbo$fm novro cbgrgm òrotfko obvorf$bfnfrbor. Lor jo mgngrgjgbci obokgjbgrng ojtoiro novro féorfsfjo yorbo$tfrfbso no, eobfrbf obokgjbgrķj ojtoiroféorfsfjo yorbo$tfrfbkosf yòmsom noēorbf mcjngjsgt!rbor, ecefjbor, trgjs%crkgt!rbor ve.-omcjckfm noēfbnfr. Eu ng sgyķsgb obokgjbgrķj ojtoiro féorfsfjo yorbo$tfrfbkosfjf gvgjtgdbķnurukg iotfrkomtonfr.

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  Gjgbci vo Xgyķsgb Mgvrgkbgrķ

vff8 Xgyķsgb sfstokborno ng"g gz noēor fbo f$bok yg#ķbķr D Xgyķsgb sfstokbor efrkornfvojfj egsgkgmbgrķ ifef scjbu sgyķng gyrķm noēorbor òzorfjno ioréombo$tfrfbfr. &$bokyg#gefbkom féfj kornfvoj egsgkgmbgrķ nòzoyfjno f$bok yg#ķbkgsķ ioromfr. Gjgbcisfstokborno fso mgrgycbbgrķ ifef mosfjtfsfz efr sòrombfbfm vgrnķr.

vfff8 Xgyķsgb sfstokborno mcnbgkg f$bokf fbo "gtgbgrķj eubujkgsķ mcbgynķrD Mcnbgkgf$bokf voyg yg#ķbgj nfēor f$bokbornoj scjrg cbu$gj "gtgbgrķj eubuju#8nòzobtfbkosf f$bokborfsgyķsgb sfstokborno gjgbci sfstokboro i!ro écm ng"g mcbgy ioréombo$tfrfbfr.

Eòtòj eu gvgjtgdbgrķj ygjķjng sgyķsgb sfstokborfj nozgvgjtgdķ, iòjbòm "gygtķkķzngmubbgjnķēķkķz yòmsombfm, egsķjé, sos, gēķrbķm, ve. eòyòmbòmborfj eòyòm efr mķskķjķj gjgbcicbkgsķnķr. Eujuj ygjķjng gjgbci novrobor ioréom zgkgjng, "or"gjif efr mcnbgkgyg ioromcbkgngj mubbgjķbgefbfrbor.

Gjgbci vo sgyķsgb sfstokborf géķmbgyķ#, fmf sfstokf mgr$ķbg$tķrnķmtgj scjrg, gmbķkķzg )sgyķsgbsfstokborno fmf sovfyobf sfstokfj mubbgjķbkg soeoef vo tòk efbifborf ( vorfborf fmf sovfyobf

cbgrgm f%gno otkokfzfj gkghķ jonfrJ* nfyo efr scru ioboefbfr.

Eu scrujuj oj fyf hovgeķ sgyķsgb sfstokborfj tgrf"fjf fjhoboyorom vorfboefbfr. 7C29*bornoiobf$tfrfboj fbm sgyķsgb sfstokbor, cjbu sgyķ sfstokfjf f%gno otkom féfj 79 %grmbķ sovfyo ygjf 79%grmbķ iorfbfk mubbgjķbķycrnu 996, 776, 446, ;;6, ....CC6 ifef-. Eu kgjtķmbgcbu$turubgj sgyķsgb novrobor 79 %grmbķ iorfbfk sovfyosfjf gyķrt otkom vo gyķrt ottfēf noēorboroi!ro f$bok yg#kgm zcrujng fnf. Eu nuruk, écm mgrkg$ķm novroborfj cbu$kgsķjg vosovfyoborfj mgrķ$kg cbgsķbķēķjķj yòmsom cbkgsķjg jonoj cbuycrnu. Eu #rcebok, cj sovfyobfsfstok yorfjo fmf sovfyobf sfstokfj mubbgjķbkgsķ fbo é!zòbnò vo eu é!zòk "gbg ioéorbfbfēfjfmcruycr.

Gjgbci vo Xgyķsgb Mgvrgkbgrķjķ fjhobonfmtoj scjrg, %grmbķ yg#ķbgrg sg"f# gjgbci vo sgyķsgb efbifborfj efrefrfjo n!jò$òkò kòkmòj kò, oēor kòkmòjso euju sgēbgkgm féfj mubbgjķbghgmnovroborfj égbķ$kg #rojsfef jgsķb cbkgbķnķrJ $ombfjno efr scrujuj hovgeķjķ fjhoboyobfk.

  g1 Gjgbci 8 Xgyķsgb 5ovfrfhf "1 Xgyķsgb 8 Gjgbci 5ovfrfhf

+omfb 7(.( G/I vo /GI novroborf ebcm $okgbgrķ.

Gjgbci0Xgyķsgb-ovfrf6f

G4=

GjgbciEfbif

Xgyķsgb

Efbif

Xgyķsgb 0 Gjgbci-ovfrf6f

4G=

Gjgbci

Efbif

Xgyķsgb

Efbif

2

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Gjgbci vo Xgyķsgb Mgvrgkbgrķ

Gjgbci efbifborfj sgyķsgb sfstokborno !rjoēfj efbifsgygr- sgmbgjkgsķ voyg f$bojkosff$bokborfjfj ygjķjng, sgyķsgb efbifborfj gjgbci novroborno !rjoēfj "c#grb!rno- mubbgjķbkgsķf"tfyghķ fbo mgr$ķbg$ķbgefbfr.

5ovrokfznomf %fzfmsob eòyòmbòmborfj obomtrfmsob sfjygbboro n!jò$tòròbkosf fbo obno onfboj efbifborfj, sgyķsgb efbifboro n!jò$tòròbkosfjf sgēbgygj novrobor )Gjgbci0Xgyķsgb -ovfrf6fbor*Gjgbci tc /fiftgb Icjvortors8G/I- cbgrgm fsfkbojnfrfbfr <omfb 7.\.g-. Xgyķsgb sfstokbornojcmujgj voyg f$bojoj efbifborfj gjgbci novro(sfstokborno noēorbojnfrfboefbkosf voygmubbgjķbgefbkosf féfj iorombf n!jò$òkò yg#gj novrobor )Xgyķsgb0Gjgbci -ovfrf6fbor* /fiftgbtc Gjgbci Icjvortors8/GI- cbgrgm gnbgjnķrķbķr <omfb 7.\.e-.

&omrgrbgkg vo -gbķœkg Xcr;bgrķ

7. Eòyòmbòmborfj iojob !zobbfmborf jobornfrJ

4. Gjgbci eòyòmbòm, gjgbci f$grot, gjgbci sfstok vo gjgbci i!storio torfkborfjf géķmbgyķjķz.

;. Gjgbci sfstoko otrg%ķjķzngmf voyg iòjbòm "gygttg mubbgjnķēķjķz ; !rjom vorfjfz.

\. Xgyķsgb eòyòmbòm, sgyķsgb f$grot, sgyķsgb sfstok vo sgyķsgb i!storio torfkborfjfgéķmbgyķjķz.

2. Xgyķsgb sfstoko òé !rjom vorfjfz.

W. 3czftf% vo joigtf% bcdfm kgjtķmbgrķ grgsķjngmf %grmbgr jobornfrJ

@. )9* vo )7* noēorborf %fzfmsob cbgrgm "gjif gjbgkbgrķ f%gno onoefbfrJ

1. Btrg%ķkķzngmf eòyòmbòmbornoj egzķbgrķjķ gjgbci voyg sgyķsgb cbgrgm fsfkbojnfrfjfz.

C. Xgyķsgb sfstokbor "gjif gbt iru#bgrg gyrķbgefbfrJ

79. Xgyķsgb sfstokborfj gjgbci sfstokboro cbgj òstòjbòmborfjf sķrgbgyķjķz.

77. Xgyķsgb sfstok "gjif cbuksuzbumbgrg sg"f#tfrJ

74. )Efbo$fm :cdfm* novroborfjf tgjķkbgyķjķz.7;. )Grnķ$ķb :cdfm* torfkfjnoj jo gjbķycrsujuz J

7\. Eobbom sfstokborf jo gkgé féfj mubbgjķbķr J

72. Bjtoiro féorfsfjno cbu$turubkgsķ zcr cbgj obomtrcjfm novro obokgjbgrķ jobornfr J

7W. Xgyķsgb sfstokborno fmf sovfyobf sfstokfj mubbgjķbkg soeoef jonfrJ

7@. Xgyķsgb sfstokborno 79 %grmbķ sovfyojfj mubbgjķbkgsķ nurukujng jo ifef sgmķjhgbgrcbu$ur.

71. Xgyķsgb sfstokborno fmf sovfyo grgsķjng %grmbķ sovfyobor mubbgjķbgefbfrkfJ

7C. Gjgbci efbifborf sgyķsgb efbifboro n!jò$tòroj novroboro jo gnķ vorfbfrJ

49. /fdftgb U Gjgbci 5ovfrfhf novroyf tgjķkbgyķjķz.

:

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  Gjgbci vo Xgyķsgb Mgvrgkbgrķ78

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Xgyķ Xfstokborf(Jukeor Xystoks)

EÐBÒK

5

Gkgébgr 

Xgyķ sfstokborfjf vo sgyķ sfstokborfjfj tgrfasob iobfœfkfjf géķmbgkgm 

  Xgyķsgb sfstokborno mubbgjķbgj fmfbf, somfzbf vo cjgbtķbķ sgyķ sfstokborfjf notgybgjnķrkgm 

 

Xgyķ sfstokborfjfj efrefrborf fbo fbfœmfborfjf iðstorkom vo efrefrborfybo mgrœķbķmbgrķjķj eubujkgsķ

yðjtokborfjf géķmbgkgm 

 

ļmfbf sgyķ sfstokfjf notgybgjnķrkgm vo fmfbf sgyķ sfstokfjno grftkotfm fœbokborf géķmbgkgm 

 

ļmfbf sgyķ sfstokfjno tòkboyoj grftkotfēf mgvrgkķjķ ðērojkom 

 

ļmfbf sgyķ sfstokfjno ðrjom égrpkg novroborfjfj tgsgrķkķjķ géķmbgkgm 

 

Grftkotfm gjtķm !frfkfjf tgjķtkgm 

Egœbķmbgr

" Xgyķ Xfstokborfjfj ļj#obojkosf

" $jbum %&o#fkgb', ļmfbf %!fjgry"&ugb', Xomfzbf %$#tgb' vo $jgbtķbķm %(o)gno#fkgb' Xgyķ Xfstokborf

" Xgyķ Xfstokborfjfj !frefrborfjo &ðjòœtòròbkoborf

" Xgyķ Xfstokborfjno (osgpbgkg

" ļmfbf Xgyķ Xfstokfjno *cpbgkg vo +ķmgrkg

" *òkboyoj Grftkotfēf

" ļmfbf Xgyķ Xfstokfjno +grpkg

" ļmfbf Xgyķ Xfstokfjno !ðbko

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Ifrfœ

Xgykg vo sgyķ mgvrgkķjķj yoryòzòjno fbm cbgrgm jorono vo jo zgkgj ncēnuēu efbfjkokombo eorgeor, egzķ eubujtubgr Xòkorborfj sgykgyķ efbnfmborfjf vo euiòj mubbgjnķēķkķz cjbum sgyķnòzojfjfj X -.. ncbgybgrķjng, (fjnfstgjng iobfœtfrfbnfēfjf iðstorkomtonfr/ $jbum sgyķnòzojf ngag scjrg ļsbgk efbifjborf tgrg<ķjngj iobfœtfrfbkfœ, X 7.. yķbbgrķjng cjbu sgyķ

sfstokfjo 5Xķ<ķr %.' sgyķsķ ombojkfœ vo sgyķ nòzojfjnomf rgmgk eféfkborf noēfœtfrfborom yojf efr œomfb mubbgjķbkgyg egœbgjkķœtķr/ $jbum sgyķ sfstokfjno mubbgjķbgj rgmgkbgr, 8jnòbòsòzorfjnoj >?..bò yķbbgrng Gvrupg fjsgjķjg gmtgrķbkķœ vo scjuétg euiòj efzfk vo écēuGvrupg òbmosfjfj mubbgjnķēķ rgmgk eféfkborf crtgyg éķmkķœtķr/

 $jbum sgyķ nòzojfjfj eubujkgsķ vo ygyiķj mubbgjķbkgsķjng eòyòm cbgsķbķmbg fjsgjķj fmfobfjno tcpbgk cj pgrkgēķj eubujkgsķjķj otmfsf cbkgmbg eorgeor, fjsgjbgr tgrfa ecyuj#gcjbum sgyķ nòzojfjfj nķœķjng egœmg sgykg nòzojborfjno mubbgjkķœbgrnķr/ 0rjoēfj, zgkgjðbékono mubbgjnķēķkķz iòj, sggt, ngmfmg vo sgjfyo ifef efrfkbor efrefrfjfj >? vo 9 mgtķ

 eféfkfjnonfr/

$jbum sgyķ nòzojf fjsgj mg<gsķ féfj ygtmķj cbkgsķjg rgēkoj, iòjòkòz efbifsgygr tomjcbc1fsf

féfj uyiuj noēfbnfr/ !u jonojbo iòjòkòz efbifsgygr tomjcbc1fsfjno noēfœfm sgyķ nòzojborfmubbgjķbkgmtgnķr/ !ujbgr6 fmfbf %efjgry"nugb', somfzbf %c#tgb', cjgbtķbķ %ao)gno#fkgb' sgyķsfstokborfnfr/ !u eðbòkno, efbifsgygr tomjcbc1fsfjno mubbgjķbgj sgyķ sfstokborfjf iojobðzobbfmborf fbo fj#obonfmtoj scjrg, fj#obojoj sgyķ sfstokborf grgsķjngmf fbfœmfborfgéķmbgyg#gēķz/

7. Xgyķ Xfstokborfjfj ļjhobojkosf

Xgyķ sfstokborfjf fj#obormoj iðz ðjòjno eubujnurkgkķz ioromoj fbm mgvrgk6 sgyķsfstokborfjno mubbgjķbgj rgmgk, fœgrot, mgrgmtor voyg agr<borf vo eujbgrķj toksfb ottfmborfgjbgkbgrķ géķmbgkgmtķr/

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  Xgyķ Xfstokborf

Xgyķ sfstokborfjno mubbgjķbgj rgmgkķj 4 agr<fj 4 mgrgmtorfj, sgyķ féorfsfjno eubujnuēu yoro%egsgkgēg' egēbķ cbgrgm toksfb ottfēf gjbgkķ noēfœfr/ Gjbgk noēfœfmbfēfjf eobfrboyoj ujsur,

 eubujgj egsgkgēķj sgyķ sfstokfjo egēbķ cbgrgm tgœķnķēķ mðm 4 tgegj noēorfnfr/ !u nurukngsgyķ sfstokfjo egēbķ cbgrgm noēfœoj fmfj#f mgvrgk6 sgyķ sfstokborfjno mubbgjķbgj tgegj

noēorfnfr/

!fr sgyķ sfstokfjf 5X, sgyķ sfstokfjno mubbgjķbgj rgmgk4mgrgmtorborf 5n vo mðmò no 5= fboiðstorfr vo 5X fbo iðstorfboj sgyķ sfstokfjf <crkòbbo f<gno onorsom6

  X2 nj= j ;nj">= j">;////////////////;n?= ?;n>= >;n.= .

oœftbfēf obno onfbfr/ :crkòbno nj"n.6 sgyķ noēorborfjf, = j"  = . fso6 mðmo egēbķ cbgrgm cbuœgj egsgkgm noēorborfjf toksfb onor/

3osfrbf mķskķ eubujgj sgyķbgrķ f<gno otkom féfj6

X 2 nj= 

j

 ;nj">= 

j">

;//////////////;n?= 

?

;n>= 

>

;n.= 

.

, n>= 

">

;n?

"?

;nL= 

"L

;/////

oœftbfēf mubbgjķbķr/

Eojob cbgrgm f<gno onfboj oœftbfmborf eu eðbòkno fj#oboyo#oēfkfz sgyķ sfstokborfjouygrbgygrgm sķrgsķ fbo cjbu, fmfbf, somfzbf vo cjgbtķbķ sgyķ sfstokborfjf fj#oboyobfk/

7.7. Cjbu (ohfkgb! Xgyķ Xfstokf

Eòjbòm agygtķkķzng oj écm mubbgjnķēķkķz cjbum sgyķ sfstokfjno cj noēfœfm rgmgk vgrnķr vo eujbgr sķrgsķybg6 ., >, ?, L, -, 9, H, N, 7, Onur/

!u nurukng nj" n. sgyķ noēorborf6 ., >, ?, L, -, 9, H, N, 7, O sgyķbgrķ fbo f<gno onfbfr vo =6 tgegj

noēorf cbgj >. fbo iðstorfbfr/ !u nurukng ngag ðj#o f<gno onfboj nojmbok %&@&osfkgb Xgyķ'6

& 2 nj>.j;nj">>.j">;///////;n?>.?;n>>.>;n.>.. 

œombfjf gbķr/ 3osfrbf mķskķ eubujgj cjbu sgyķbgrķ f<gno otkom féfj6

&2 nj>.j;nj">>.j">;/////// ;n?>.?;n>>.>;n.>.., n>/>.">;n?/>."?;nL/>."L ;/

 oœftbfēf mubbgjķbķr/

&ojmboko iðro oj sgēngmf egsgkgm oj nòœòm vo oj scbngmf oj yòmsom gjbgkbķ egsgkgmcbgrgm6 >O79 sgyķsķ,

>O79 2 >/>.L;O/>.?;7/>.>;9/>.. 

œombfjno ygzķbgefbfr/

>-

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Xgyķ Xfstokborf

7.5. ļmfbf (Efjgry"ugb! Xgyķ Xfstokf

5. vo 5> rgmgkbgrķ fbo toksfb onfboj, tgegj noēorf 5? cbgj vo fmf cbgsķbķmbķ nurukbgrķ f<gnootkom gkg#ķybg mubbgjķbgj sgyķ sfstokf #ļmfbf$ voyg #Efjgry$ sgyķ sfstokf cbgrgm gnbgjnķrķbķr/

ļmfbf sgyķ sfstokfjno aor efr egsgkgm #Eļ%$ cbgrgm %Efjgry &fif%' gnbgjnķrķbķr/ 8j sgēngmf egsgkgēg oj 5&j 'œ'm oorbf Eft$ %Iogst Xfijf<f#gjt !ft " IX!', oj scbngmf egsgkgēg#&j )'msom oorbf Eft$  %cst Xfijf<f#gjt !ft " X!' nojfr/ !ujg iðro fmfbf sgyķsfstokfjnomf egsgkgm noēorborf %!@ !fjgry"fmfbf sgyķ sfstokf'6

! 2 nj?j ;nj">?j">;//// ;n??? ;n>?>;n.?. 

oœftbfēf fbo f<gno onfboefbfr/

0rjom cbgrgm 5>.>>.>>.> fmfbf sgyķsķjķj egsgkgm noēorborfjf ygzgrsgm6

! 2 >/?7 ; ./?N ; >/?H ; >/?9 ; ./?- ; >/?L ; >/?? ; ./?> ; >/?. 

oœftbfēf eubujur/

Gyjķ œomfbno mosfrbf mķsķk eubujgj fmfbf sgyķbgrķj egsgkgm noēorborf@

! 2 nj?j ;nj">?j">;//// ;n??? ;n>?>;n.?.  , n>?"> ; n??"? ;/////; nj?"j 

%gk sgyķ mķskķ *osfrbf sgyķ mķskķ

œombfjno cbur/

  >>..>.

ļmfbf sgyķ sfstokf efbifsgygrbgr féfj uyiuj vo eu sfstokno sgyķbgrķj f<gno onfbkosf mcbgycbkgsķjg rgēkoj, sgyķbgrķj f<gno onfbkosf ngag écm sgyķng egsgkgm fbo kòkmòj cbkgmtgnķr/$jbu cbgrgm f<gno onfboj efr sgyķyķ, fmfbf sfstokno f<gno otkom féfj crtgbgkg òé mgtķ ngag<gzbg egsgkgēg fatfygé vgrnķr/ !ung fmfbf sgyķ sfstokfjno ygpķbg#gm fœbokborfj zgkgj gbkgsķ,zcrbgœkgsķ vo agtg fatfkgbfjfj yòmsobkosf scju#uju ncēurur/ !u sgmķj#gbgrķ crtgngjmgbnķrkgm féfj, fmfbf sgyķ sfstokfjfj tgk mgtbgrķ cbgj vo fœbokborfj ngag gz zgkgjngygpķbkgsķjg fkmgj tgjķygj %fmfbf sgyķ sfstokfjo nðjòœtòròbkoborf voyg tors fœbokf écm mcbgycbgj' somfzbf vo cjgbtķbķ sgyķ sfstokborf mubbgjķbķr/ !ujujbg eorgeor, fmfbf sgyķ sfstokf

 efbifsgygrbgrng gœgēķngmf gkgébgr féfj mubbgjķbkgmtgnķr@

  8j Aòmsom &oēorbf !ft %X!' 8j &òœòm &oēorbf !ft %IX!'

>9

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  Xgyķ Xfstokborf

f/ Eoréom sgyķsgb noēorf f<gno otkom féfj,

ff/ Forf fbo fbifbf eobbomtomf gnrosf eobfrtkom féfj,

fff/ 3ckut mcnu cbgrgm,

fv/ Gb<geotfm vo sgyķsgb cbkgygj mgrgmtorborf toksfb otkom féfj efr mcn cbgrgm,

v/ !fbifsgygrng ngafbf vo agrf#f cbgrgm eubujgj novroborfj nurukbgrķjķ eobfrbokosf féfj efrsgyķ irueu cbgrgm/

7.+. Xomf,bf (Chtgb! Xgyķ Xfstokf

ļmfbf sgyķ sfstokfjnomf sgyķbgrķj ngag mcbgy iðstorfbkosfjf sgēbgygj sgyķ sfstokborfjnoj efrfsf, somfzbf %c#tgb' sgyķ sfstokfnfr/

Xomfzbf sgyķ sfstokfjno tgegj 57 vo mubbgjķbgj sgyķbgr6 ., >, ?, L, -, 9, H, Nnfr/ Eojobnoyotkfœbf yķbbgrng kfjf efbifsgygrbgrng écmég mubbgjķbgj somfzbf sgyķ sfstokfjnomf egsgkgmnoēorborf6

$ 2 nj7j;nj">7j">;////////////;nL7L;n?7?;n>7>;n.7. , n>7 ">; n?7 "? ;

<crkòbò fbo f<gno onfbfr/

7.-. Cjgbtķbķm (o/g<ohfkgb! Xgyķ Xfstokf

ļmfbf sgyķ sfstokfjfj ngag mcbgy iðstorfbkosfjf sgēbgygj vo iòjòkòz efbifsgygrbgrķjng ygyiķjcbgrgm mubbgjķbgj sgyķ sfstokf cjgbtķbķm %ao)gno#fkgb' sgyķ sfstokfnfr/ $jgbtķbķ sgyķsfstokfjno . fbo O grgsķjngmf rgmgkbgr fbo G, !, D, &, 8, : agr<borf mubbgjķbķr/

!u sgyķ sfstokfjnomf sgyķbgrķj iojob nojmbokf6

( 2 nj>Hj;nj">>Hj">;///////;n>>H>;n.>H.  , n>>H "> ; n?>H "? ; n?>H "L ;

œombfjno cbuœur/

*gebc ?/>no ."?. grgsķjngmf cjbu sgyķbgrķj fmfbf, somfzbf, cjgbtķbķ sgyķ sfstokborfjnomfmgrœķbķmbgrķ iðstorfbkomtonfr/

!urgyg mgngr sgyķ sfstokborfjf géķmbgjnķ/ Mfknf eu sgyķ sfstokborfjfj efrefrborfjonðjòœòkborfjf géķmbgygbķk/

>H

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Xgyķ Xfstokborf

Cjbu ļmfbf Xomf,bf Cjgbtķbķ

. ..... . .

> ....> > >

? ...>. ? ?

L ...>> L L

- ..>.. - -

9 ..>.> 9 9

H ..>>. H H

N ..>>> N N

7 .>... >. 7

O .>..> >> O

>. .>.>. >? G

>> .>.>> >L !

>? .>>.. >- D

>L .>>.> >9 &

>- .>>>. >H 8

>9 .>>>> >N :

>H >.... ?. >.

>N >...> ?> >>

>7 >..>. ?? >?

>O >..>> ?L >L

?. >.>.. ?- >-

%gb 5.7.  ."?. grgsķ sgyķbgrķj fmfbf, somfzbf vo cjgbtķbķ sfstokbornomf mgrœķbķmbgrķ/

5. Xgyķ Xfstokborfjfj Efrfrborfjo 8j'œt'r'bkoborf

Xgyķ sfstokborfjfj efrbfmto mubbgjķbkgsķ, sgyķ sfstokborfjnoj aoragjif efrfsf fbo f<gno onfboj efr eòyòmbòēòj nfēor sgyķ sfstokborfjo nðjòœòk fatfyg#ķjķ crtgyg éķmgrķr/ Xgyķ sfstokborfjftom"tom obo gbgrgm nfēor sgyķ sfstokborfjo nðjòœòk projsfpborfjf vo yðjtokborfjf géķmbgygbķk/

>N

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  Xgyķ Xfstokborf

5.7. Cjbu Xgyķbgrķj ļmfbf> Xomf,bf ?o Cjgbtķbķ Xgyķbgrg 8j'œ'k'

$jbu efr sgyķ egœmg efr sgyķyg nðjòœtòròbo#omso6 cjbu sgyķ, yojf cbuœg#gm cbgj sgyķsfstokfjfj tgegj noēorfjo sòrombf eðbòjòr/ !ðbòk scju#ujng obno mgbgjbgrķj torstoj

sķrgbgjkgsķybg yojf sgyķ sfstokfjnomf sgyķ eubujur/

Cjbu Xgyķbgrķj ļmfbf Xgyķbgrg 8j'œ'k'0

$jbu efr sgyķ fmfbf efr sgyķyg nðjòœtòròbo#omso, cjbu sgyķ sòrombf ?yo eðbòjòr/

 

Ðrjom 50 %>?N>'>.

sgyķsķjķ fmfbf sgyķyg nðjòœtòrobfk/

  ļœbok E8b'k *gbgj>?N> 4 ?2 HL9 >  HL9 4 ?2 L>N >  L>N 4 ?2 >97 >  >97 4 ?2 NO .  NO 4 ? 2 LO >

LO 4 ? 2 >O >  >O 4 ? 2 O >  O 4 ? 2 - >  - 4 ? 2 ? .  ? 4 ? 2 > .

 > 

Ðrjom 70  %LO'>.

 sgyķsķjķ fmfbf sgyķ sfstokfjo éovfrobfk/

  E8b'joj E8b'k *gbgj

LO4? >O ; > IX!////////////// >O4? O ; >

  O4? - ; > ygzķk yðjò

  -4? ? ; .?4? > ; . X!

>..>>>

Xcjué cbgrgm6%LO'

>.2%>..>>>'

oœftbfēf eubujur/

X!@ 8j yòmsom noēorbfmbf eft/

%cst Xfijf<f#gjt !ft'

IX!@ 8j nòœòm noēorbfmbf eft/%Iogst Xfijf<f#gjt !ft'

>7

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Xgyķ Xfstokborf

Xcjué cbgrgm6%>?N>/>. 2 %>..>>>>.>>>'?

oœftbfēf eubujur/ 

3osfrbf cjbu sgyķbgr fmfbf sgyķbgrg nðjòœtòròbòrmoj mosfr mķskķ ? fbo égrpķbķr/ +grpķkscju#ujng obno onfboj sgyķjķj tgk mķskķ mgynonfborom, mosfrbf mķsķk ? fbo yojfnoj égrpķbķr/!u fœboko mosfrbf mķsķk 5. noēorfjo %voyg .g écm ygmķj efr noēoro' ubgœķj#gyg mgngr novgkonfbfr/

Xcjué6

%./H9'>. ≏ %./>.>'? 

cbgrgm eubujur/ !u ðrjomto iðròbnòēò ifef mosfrbf mķsķk . noēorfjo vgrkgygefbfr/ !u ifefnurukbgrng fœbok scjbgjnķrķbgrgm yuvgrbgtkg ygpķbgefbfr/

Ðrjom -0 %->/H7N9'>. sgyķsķjķ fmfbf sgyķyg éovfrobfk/

*gk sgyķ vo mosfrbf mķskķ eubujgj efr sgyķyķ fmfbf sgyķyg éovfrkom féfj, tgk sgyķ vo mosfrmķsķkbgrķ gyrķ"gyrķ nðjòœtòròbòr vo eubujgj sgyķbgr efrboœtfrfbfr/

0j#o tgk sgyķ mķskķjķ éovfrobfk@

Ðrjom +0 %./H9'>. sgyķsķjķ fmfbf sgyķ sfstokfjo éovfrobfk/

  *gk 3ķsķk./H9 B ? 2 >/L. > g">

./L. B ? 2 ./H. . g"? Xķrgbgkg

./H. B ? 2 >/?. > g"L yðjò

./?.

ļœbok E8b'k *gbgj-> 4 ? ?. >?. 4 ? >. .>. 4 ? 9 > 9 4 ? ? . ? 4 ? > .> > %->'>. 2 %>..>.>'?

>O

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  Xgyķ Xfstokborf

&gag scjrg mosfrbf mķskķj éovrfkfjf ygpgbķk6

Xcjuétg, fmf sgyķyķ efrboœtfrfrsom6

  %->/H7N9'>. 2 %>..>.>/>.>>'? 

oœftbfēf eubujur/

Cjbu Xgyķbgrķj Xomf,bf Xgyķbgrg 8j'œt'r'bkosf 0

$jbu sgyķ sfstokfjnomf efr sgyķyķ, somfzbf sfstoko nðjòœtòrkom féfj yumgrķng géķmbgjgjyðjtokbor mubbgjķbķr/

Ðrjom 90 %>9L'>. sgyķsķjķ somfzbf sfstoko éovfrobfk/

Forfboj sgyķjķj novgkbķ 7 fbo eðbòjkosf vo mgbgjķj ygzķbkgsķ œombfjno fœbok ygpķbķr@

ļœbok E8b'k *gbgj>9L 4 7 >O >

  >O 4 7 ? L? ?

ļœbokbor scju#ujng,

%>9L'>. 2 %?L>'7

oœftbfēf eubujur/

Ðrjom 10 %./9>L'>.  sgyķsķjķ somfzbf sgyķ sfstokfjo éovfrobfk/

Forfboj sgyķ novgkbķ 7 fbo égrpķbgrgm cbuœgj tgk sgyķbgr ygzķbķr/

  $buœgj tgk sgyķ./9>L) 7 2 -/>.- -./>.- ) 7 2 ./7L? . ygzķk yðjò

 ./7L? ) 7 2 H/H9H H./H9H ) 7 2 9/?-7 9

 ./?-7 ) 7 2 >/O7- >

  *gksgyķ./H7N9 B ? 2 >/LN9. >

./LN9. B ? 2 ./N9.. .

./N9.. B ? 2 >/9... >./9... B ? 2 >/.... > %./H7N9'>. 2 %>.>>'?

 

?.

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Xgyķ Xfstokborf

Xcjué cbgrgm6%./9>L'>. ≏ %./-.H9>'7 

oœftbfēf eubujur/

*gk sgyķ vo mosfrbf mķskķ eubujgj cjbu sgyķbgrķ 7bf sgyķbgrg nðjòœtòrko fœbokfjno6 tgk sgyķvo mosfr mķsķkbgrķ gyrķ gyrķ nðjòœtòròbòr vo eubujgj scjuébgr efrbfmto ygzķbķr/

0rjom 9 vo 0rjom Hngmf fœbokbornoj, %>9L/9>L'>. sgyķsķjķj %?L>/-.H9>'7 sgyķsķjg oœft cbnuēusðybojoefbfr/

Cjbu Xfstok<omf Xgyķbgrķj Cjgbtķbķ Xgyķbgrg 8j'œt'r'bkosf 0

$jbu sfstoknomf efr sgyķyķ cjgbtķbķm sfstoko nðjòœtòrkom féfj, cjbum sfstokfj fmfbf vo somfzbfsfstoko éovrfbkosfjnomf yðjtok uyiubgjķr/ Gj#gm cjgbtķbķm sfstokno tgegj 5>H cbnuēujngj,>Hyg eðbko vo mgbgjķ ygzkg œombfjno fœbok ygpķbķr/

Ðrjom 60 %?>-'>. sgyķsķjķ cjgbtķbķm sgyķ sfstokfjo éovfrobfk/

Forfboj sgyķjķj novgkbķ >Hyg eðbòjkosf vo mgbgjķjķj ygzķbkgsķ œombfjno fœbok ygpķbķr@

  ļœbok E8b'k *gbgj

?>- 4 >H >L H H  >L 4 >H . >L &

Xcjué cbgrgm6%?>-'>.  2 %&H'>H

oœftbfēf ygzķbgefbfr/

Ðrjom 40 %-?L'>. 2 %K'>H  nðjòœòkòjò ioréomboœtfrobfk/  *gbgj

-?L 4 >H N  ?H 4 >H >. G

> >

!ðbko fœbokf scju#ujng obno onfboj 5>. sgyķsķjķj cjgbtķbķ sfstoknomf mgrœķbķēķ cbgj 5Gnoēorfjfj ygzķbgkgsķ fbo6

 %-?L'>. 2 %>GN'>H

oœftbfēf obno onfbfr/

?>

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  Xgyķ Xfstokborf

3osfrbf cjngbķm sgyķbgrķj cjgbtķbķ sgyķ sfstokfjo nðjòœtòròbkosf6   mosfrbf sgyķjķj >H fboégrpķkķjngj cbuœgj tgk sgyķ mķskķjķj gbķjķp, yojf sgyķjķj mosfrbf mķskķjķj égrpķbkgyg novgkotkosf œombfjno ygpķbķr/

!u nurukng mosfrbf mķsķk féfj6%./LN9'>. 2 %./H'>H 

oœftbfēf ygzķbgefbfr/

Xcjué cbgrgm6%?>-/LN9/>. 2 %&H/H'>H 

oœftbfēf eubujur/

Ðrjom =@ %./ON9'>. sgyķsķjķ cjgbtķbķm sfstoko éovfrobfk/

Forfboj sgyķ novgkbķ >H fbo égrpķbķp, cbuœgj tgk sgyķbgr ygzķbķr@

  3gbgj./ON9)>H 2 >9/H.. >9 :./H..)>H 2 O/H.. O ygzķk./H..)>H 2 O/H.. O yðjò

Xcjué cbgrgm6

%./ON9'>. 2 %./:OO'>H

oœftbfēf eubujur/

Ðrjom 7;0 %?>-/LN9'>. 2 %K'>H nðjòœòkòjò ygpgbķk/

*gk sgyķ vo mosfrbf mķsķkbgrķj nðjòœòkò gyrķ gyrķ ygpķbg#gēķjngj, tgk sgyķ mķskķjķ 0rjomNnoj gbgefbfrfz@

%?>-'>.  2 %&H'>H

3osfrbf mķsķk fso6%./LN9'>.  2 %K'>H ./LN9 ) >H 2 H/.

cbgrgm obno onfbfr/

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Xgyķ Xfstokborf

5.5. ļmfbf Xgyķ Xfstokfj<omf Xgyķbgrķj Cjbu> Xomf,bf ?o Cjgbtķbķ Xgyķ Xfstokborfjo8j'œt'r'bkosf

ļmfbf sfstoknomf efr sgyķ, aor egsgkgēķjķj gēķrbķm mgtsgyķsķ fbo égrpķbķp, eubujgj noēorborfj

tcpbgjkgsķ fbo fbifbf sgyķ sfstokfjo nðjòœtòròbòr/

ļmfbf Xgyķbgrķj Cjbu Xgyķbgrg 8j'œt'r'bkosf0

ļmfbf sfstoknomf efr sgyķ, aor egsgkgēķjķj gēķrbķm mgtsgyķsķ fbo égrpķbķp, eubujgj noēorborfjtcpbgjkgsķ fbo $jbu sgyķ sfstokfjo nðjòœtòròbòr 

3osfrbf fmfbf sgyķjķj cjbum sgyķ sfstokfjo nðjòœtòròbkosf6 mosfrbf mķskķj scbngj sgēg ncērufmfjfj joigtf< muvvotborf œombfjno ygzķbķp, eu sgyķbgrķj egsgkgmbgrng eubujgj sgyķbgrbgégrpķbkgsķ vo eubujgj égrpķkbgrķj tcpbgjkgsķ œombfjno ioréomboœtfrfbfr/

Ðrjom 770 %>>..>'?  sgyķsķjķj cjbum sgyķ sfstokfjnomf mgrœķbķēķjķ eubgbķk/

(or efr egsgkgmtg eubujgj sgyķ egsgkgm noēorf fbo égrpķbķr vo eubujgj sgyķbgr tcpbgjķrsg6

  > > . . > >)?- ; >)?L ; .)?? ;.)?> ; >)?.  2 >H ; 7 ; . ; . ; >

cbur/ !u nurukng6%>>..>'? 2 %?9'>. 2 ?9

oœftbfēf ygzķbgefbfr/

Ðrjom 750 %>../.>'? sgyķsķjķ cjbum sgyķ sfstokfjo nðjòœtòrobfk/

*gksgyķ vo mosfrbf mķskķj egsgkgm noēorborf fbo egsgkgmbgrng eubujgj sgyķbgr égrpķbķrsg6

  >../.> 2 >/?? ; ./?> ; ./?? , ./?"> ;>/?"?

  2 >/- ; ./? ; ./> , ./>4? ; >/>4-  2 - ; . ; . , . ; >4-  2 %-/?9'>. 

sgyķsķ eubujur/ !u nurukng6

%>../.>'? 2 %-/?9'>. 

oœftbfēf obno onfbfr/

?L

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  Xgyķ Xfstokborf

ļmfbf sgyķ sfstokfjnomf sgyķbgrķj somfzbf vo cjgbtķbķ sgyķbgrg nðjòœtòròbkoborf efbifsgygrbgrngðjokbf efr yoro sgafptfr/ ?L 2 7 vo ?- 2 >H cbnuēujngj, aor efr somfzbfm sgyķ òé eft fmfbf sgyķygmgrœķbķm iobfrmoj, aorefr cjgbtķbķm sgyķ - eft fmfbf sgyķyg mgrœķbķm iobfr/

ļmfbf Xgyķbgrķj Xomf,bf Xgyķbgrg 8j'œt'r'bkosf 0

ļmfbf sfstoknomf efr sgyķyķ somfzbf sfstokno f<gno otkom féfj, fmfbf sfstoknomf sgyķbgr sgēngjscbg ncēru òéorbf mòkobor agbfjno gyrķbķr vo oj scjngmf mòkonomf eftborfj sgyķsķ òétoj gz fsoscbg ncēru 5. ombojorom òéo tgkgkbgjķr/

Ðrjom 7-0 %>>..>>>>.>>>.>'? sgyķsķjķ somfzbf sgyķ sfstokfjo nðjòœtòrobfk/

Jéorbf mòkoboro gyķrkg vo omsfm eftborf tgkgkbgkg scju#ujng,

.>> ..> >>> .>> >.>

mòkoborf obno onfbfr/ (or mòkonomf sgyķjķj cjbum mgrœķbķēķ ygzķbķrsg6

%.>> ..> >>> .>> >.>'? 2 %L > N L 9'7 

œombfjno somfzbf sfstoknomf sgyķ eubujur/ !u nurukng,

%>>..>>>>.>>>.>'? 2 %L>NL9'7 

oœftbfēf ygzķbgefbfr/

Ðrjom 7+0 %>.>>/>.>'? 2 %K'>. nðjòœòkòjò ygpgbķk/

Xgyķjķj tgk vo mosfrbf mķskķjng eubujgj rgmgkbgr fbo egsgkgm noēorborf égrpķbķr/

%>.>>/>.>'? 2 >/?L ; ./?? ; >/?> ; >/?. , >/?"> ; ./?"? ; >/?"L

  2 7 ;. ; ? ; > , ./9 ; . ; ./>?9

  2 %>>/H?9'>. 

&ðjòœtòrko fœbokf scju#ujng6

%>.>>/>.>'? 2 %>>/H?9'>. oœftbfēf eubujur/

?-

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Xgyķ Xfstokborf

 

3osfrbf fmfbf sgyķbgrķj somfzbf sgyķbgrg nðjòœòkò gyjķ yðjtokbo ioréomboœtfrfbfr/ Agbjķz#g,mosfrbf mķsķkngmf irupbgjnķrkg scbngj sgēg ncēru ygpķbķr/

ļmfbf Xgyķbgrķj Cjgbtķbķ Xgyķbgrg 8j'œt'r'bkosf0

ļmfbf sgyķ sfstokfjnoj cjgbtķbķm sgyķ sfstokfjo nðjòœtòrko fœbokf, fmfbf sfstoknomf sgyķjķjnðrnorbf irupbgrg gyrķbķp, aor efr iruptgmf sgyķbgrķj mgrœķbķmbgrķjķj ygzķbkgsķ œombfjnoioréomboœtfrfbfr/ Erupbgkg fœbokfjo sgēngj egœbgjķr vo oj scjngmf irup 5. ombojorom nðrt

 efto tgkgkbgjķr/ Erupbgrngmf sgyķbgrķj mgrœķbķmbgrķ cbgj sgyķbgr ygzķbķj#g, cjgbtķbķm sfstoknomfsgyķ obno onfbfr/

Ðrjom 760 %>.>>>>.>>>....>>>>.>'?  sgyķsķjķ cjgbtķbķm sgyķ sfstokfjo nðjòœtòrobfk/

Forfboj sgyķ nðrt eftbfm irupbgr agbfjno ygzķbķrsg6 >.>> >>.> >>.. ..>> >>.> œombfjfgbķr/ !u irupbgrngmf sgyķbgrķj cjgbtķbķm sfstoknomf mgrœķbķmbgrķ ygzķbķrsg6

Ðrjom 79 0 %>.>>...>>.>.>>'? 2 %K'7  nðjòœòkòjò ygpgbķk/

 Forfboj sgyķ òéorbf irupbgrg gyrķbķr vo aorefr irueuj toksfb ottfēf somfzbf sgyķ ygzķbķrsg6

.>. >>. ..> >.> .>> 2 %?H>9L'7 ? H > 9 L

œombfjno somfzbf sfstoknomf sgyķ eubujur/ !u nurukng,

%>.>>...>>.>.>>'? 2 %?H>9L'7

oœftbfēf obno onfbfr/

Ðrjom 710  %>>.>>.>>.>/>>>>.....>>.'? 2 %K'7  nðjòœòkòjò ygpgbķk/

Xgyķ, %..> >.> >.> >.>.>>> >.. ... >>.'? œombfjno irupbgjnķrķbķp, aor irueuj mgrœķbķēķ cbgjfmfbf sgyķ ygzķbķrsg6

  > 9 9 9 .  N - . H 2 %>999/N-.H'7 

scju#u obno onfbfr/ Xcjuétg6

%>>.>>.>>.>/>>>>.....>>.'? 2 %>999/N-.H'7

oœftbfēf eubujur/

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  Xgyķ Xfstokborf

  >.>> >>.> >>.. ..>> >>.>

  !  & D L &

sgyķbgrķ obno onfbfr/

Xcjué cbgrgm6

  %>.>>>>.>>>....>>>>.>'? 2 %!&DL&'>H 

oœftbfēf eubujur/

 Erupbgrķj mgrœķbķmbgrķ cbgj sgyķbgr sķrgsķ fbo ygzķbķj#g6 cjgbtķbķm sfstoknomf sgyķ6

%>.>>...>>.>.>>/>>>>..>.'? 2 %?DH!/:?'>H

cbgrgm   obno onfbfr/

5.+. Xomf,bf Xfstok<omf Xgyķbgrķj ļmfbf> Cjbu :o Cjgbtķbķ Xfstokboro 8j'œt'r'bkosf

Xomfzbf sfstoknomf sgyķbgrķ nfēor sgyķ sfstokborfjo nðjòœtòrkom féfj nðjòœtòròbo#om sgyķsfstokfjfj ðzobbfēfjo uyiuj yðjtok mubbgjķbķr/

Xomf,bf Xgyķbgrķj ļmfbf Xgyķbgrg 8j'œt'r'bkosf0

Ðrjom 740 %>.>>...>>.>.>>/>>>>..>.'?  sgyķsķjķ cjgbtķbķm sgyķ sfstokfjo éovfrobfk/

+ovfrko fœbokf féfj ðj#o sgyķjķj tgk sgyķ vo mosfrbf mķsķkbgrķ -orbf irupbgrg gyrķbķr/ (orefrirueuj cjgbtķbķ sfstokno mgrœķbķēķ cbgj sgyķ ygzķbķr/

..>. >>.. .>>. >.>> / >>>> ..>.

  ? D H ! : ?

 Ðrjom 7=0  %>>.....>>./>>.>>..'? 2 %K'>H  nðjòœòkòjò ygpgbķk/

 Erupbgjnķrkg ygpķbķp, aorefr iruptgmf sgyķbgrķj mgrœķbķēķ ygzķbķrsg6

..>> .... .>>. .  >>.> >.. 2 %L.H/&7'>H

L . H & 7

scju#u obno onfbfr/

 

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Xgyķ Xfstokborf

Xomfzbf sfstoknomf efr sgyķyķ fmfbf sgyķ sfstokfjo nðjòœtòrkom féfj, aor efr egsgkgmtgmfsgyķjķj mgrœķbķēķ cbgj fmfbf sgyķ L eftbfm irupbgr œombfjno ygzķbķr/ Erupbgr agbfjno ygzķbgj fmfbfsgyķbgrķj mgrœķbķēķ cbgj sgyķbgrķj efr grgyg iotfrfbkosf fbo fmfbf sfstoknomf sgyķ crtgyg éķmgr/

Ðrjom 5;0 %HNL/>?-'7  sgyķsķjķ fmfbf sgyķ sfstokfjo éovfrobfk/

0j#o aor efr sgyķjķj mgrœķbķēķ cbgj fmfbf sgyķ L eft cbgrgm ygzķbķr@

  H2>>., N2>>>, L2.>>, >2..>, ?2.>., -2>../

Agzķbgj sgyķbgr efr grgyg iotfrfbfrso6

  %HNL/>?-'7 2 %>>.>>>.>>/..>.>.>..'? 

oœftbfēf eubujur/

Xomf,bf Xgyķbgrķj Cjbu Xgyķbgrg 8j'œt'r'bkosf 0Xomfzbf sgyķbgr, aor efr egsgkgmtgmf rgmgkķj egsgkgm gēķrbķēķybg égrpķbkgsķ vo ngag scjrgégrpķkbgrķj tcpbgjkgsķ ycbuybg cjbum sgyķ sfstokfjo nðjòœtòròbòr/

Ðrjom 570 %LN?'7  sgyķsķjķ cjbum sgyķ sfstokfjo éovfrobfk/

(orefr egsgkgmtgmf sgyķ egsgkgm noēorborfybo égrpķbķp, eubujgj sgyķbgr tcpbgjķrsg6

%LN?'7 2 L)7? ; N)7> ; ?)7. 

2 L)H- ; N)7 ; ?)>

  2 ?9.

sgyķsķ eubujur/ !u nurukng6

%LN?'7 2 %?9.'>. 

oœftbfēf obno onfbfr/

Ðrjom 550 %?-/H'7 2 %K'>.  nðjòœòkòjò ioréomboœtfrobfk/

!gsgkgmbgrngmf sgyķbgr egsgkgm noēorborfybo égrpķbķr@

  %?-/H'7 2 ?)7> ; -)7. / H)7">/ 

+grpķkķjngj eubujgj noēorbor tcpbgjķrsg6

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  Xgyķ Xfstokborf

2 >H ; -/N92?./N9

sgyķsķ eubujur/ Xcjuétg6

%?-/H'7 2 %?./N9'>. 

oœftbfēf cbuœur/

Xomfzbf sfstoknomf efr sgyķyķ cjgbtķbķm sgyķ sfstokfjo nðjòœtòrkojfj oj prgtfm ycbu, somfzbfmsgyķyķ ðj#o fmfbfm sgyķ sfstokfjo nðjòœtòrkom vo ngag scjrg fmfbf sgyķyķ cjgbtķbķm sgyķygéovfrkomtfr/

Ðrjom 5+0  %9-L>'7  sgyķsķjķ cjgbtķbķm sgyķyg nðjòœtòrobfk/

Xomfzbfm sgyķ ðj#o fmfbf sgyķyg éovrfbfr/

%9-L>'7 2 %>.>>...>>..>'? 

&gag scjrg eubujgj sgyķ nðrnorbf irupbgrg gyrķbķp, aor efr irueuj mgrœķbķēķ cbgj cjgbtķbķsfstoknomf f<gno ygzķbķrsg6

>.>> 2 !, ...> 2 >, >..> 2 O

oœftbfmborf eubujur/ !ubujgj sgyķbgr efr grgyg iotfrfbfrso6

%!>O'>H 

sgyķsķ obno onfbfr/ !u nurukng6

%9-L>'7 2 %&>O'>H 

oœftbfēf ygzķbgefbfr/

5.-. Cjgbtķbķm Xfstok<omf Xgyķbgrķj> ļmfbf> Xomf,bf ?o Cjbu Xgyķ Xfstokborfjo8j'œt'r'bkosf

$jgjtķbķ sgyķ sfstokborfjno f<gno onfboj efr eòyòmbòēò nfēor sgyķ sfstokborfjo nðjòœtòrkomféfj uyiuj yðjtokbor mubbgjķbķr/

Cjgbtķbķ Xgyķbgrķj ļmfbf Xgyķbgrg 8j'œt'r'bkosf0

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Xgyķ Xfstokborf

$jgbtķbķ sfstoknomf efr sgyķyķ fmfbf sgyķ sfstokfjo nðjòœtòrkom féfj6 aor egsgkgmtgmf sgyķjķjmgrœķbķēķ cbgj fmfbf sgyķ - eft œombfjno ygzķbķr/ - eftbfm irupbgr efr grgyg iotfrfborom fmfbf sgyķ

 eubujur/

Ðrjom 5-@ %9&>&HO'>H  sgyķsķjķ fmfbf sfstoko éovfrobfk/

(orefr egsgkgmtgmf cjgbtķbķm sgyķjķj mgrœķbķēķ cbgj fmfbf sgyķ ygzķbķrsg6

92.>.>, &2>>.>, >2...>, &2>>.>, H2.>>., O2>..>

noēorborf obno onfbfr/

Agzķbgj fmfbf sgyķbgrķj efr grgyg iotfrfbkosf fbo, scjué cbgrgm6

%9&>&HO'>H 2 %.>.>>>.>...>>>.>.>>.>..>'? 

oœftbfēf eubujur/

Ðrjom 59@ %8N.:/DG'>H  sgyķsķjķ fmfbfm sgyķyg éovfrobfk/ (or efr egsgkgmtgmf sgyķjķjmgrœķbķēķ cbgj fmfbf sgyķ - eft cbgrgm ygzķbķrsg6

>>>. .>>> .... >>>> .  >>.. >.>.

sgyķbgrķ eubujur/ !u nurukng6

%8N.:/DG'>H  2 %>>>..>>>....>>>>/>>..>.>.'? 

oœftbfēf obno onfbfr/

Cjgbtķbķ Xgyķbgrķj Cjbu Xgyķbgrg 8j'œt'r'bkosf0

$jgbtķbķ sgyķyķ cjbu sfstoko éovfrkom féfj, aor egsgkgmtgmf noēor fbo egsgkgm gēķrbķēķégrpķbķr/ !ubujgj noēorborfj tcpbgjkgsķ fbo cjgbtķbķ sfstoknoj cjbu sgyķ sfstokfjo nðjòœòkygpķbkķœ cbur/

Ðrjom 510 %8N.:DG'>H sgyķsķjķ cjbu sfstoko nðjòœtòrobfk/

(orefr egsgkgmtgmf sgyķyķ egsgkgm noēorborfybo égrpķp, eubujgj sgyķbgrķj tcpbgjkgsķ fbo6

8N.:DG 2 8)>H9 ; N)>H- ; .)>HL ; :)>H? ; D)>H> ; G)>H.

  2 >7--N>O ; -97N9? ; . ; L7-. ; >O? ; >.  2 %?L.N9>L'>. 

sgyķsķ eubujur/ Xcjuétg6

%8N.:DG'>H 2 %?L.N9>L'>.

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  Xgyķ Xfstokborf

oœftbfēf ygzķbgefbfr/

Ðrjom 560 %9&>/&O'>H 2 %K'>.  nðjòœòkòjò ygpgbķk/

!gsgkgm noēorborfjfj egsgkgmbgrngmf sgyķbgrbg égrpķbķp, eubujgj sgyķbgrķj tcpbgjkgsķ fbo6  9&>/&O 2 9)>H? ; >L)>H> ; >)>H. / >L)>4>H ; O)>4?9H

  2 >?7. ; ?.7 ; >H / >L4>H ; O4?9H2 %>9.-/7-NH'>. 

sgyķsķ eubujur/ !u nurukng,

%9&>/&O'>H 2 %>9.-/7-NH'>. 

oœftbfēf ygzķbgefbfr/

Cjgbtķbķ Xgyķbgrķj Xomf,bf Xgyķbgrg 8j'œt'r'bkosf 0

$jgbtķbķm sgyķyķ somfzbf sfstoko éovfrkom féfj oj prgtfm yðjtok6 cjgbtķbķm sgyķjķj fmfbf sfstokovo ngag scjrg fmfbf sfstoknomf sgyķjķj somfzbf sfstoko éovrfbkosfnfr/

Ðrjom 54 0 %8.DG'>H  sgyķsķjķ somfzbf sfstoko éovfrobfk/

0j#o cjgbtķbķ sgyķ fmfbf sfstoko éovrfbfr/ $jgbtķbķ sfstoknomf sgyķjķj fmfbf sfstoko éovrfbkosfféfj, aor efr egsgkgmtgmf sgyķjķj fmfbf mgrœķbķēķ nðrt eftbfm cbgrgm ygzķbķrsg6

  8 2>>>., . 2 ...., D 2>>.., G 2 >.>.

sgyķbgrķ eubujur/ !ubujgj sgyķbgr efrboœtfrfbfrso6

%8.DG'>H 2 %>>>.....>>..>.>.'? 

sgyķsķ obno onfbfr/ 8bno onfboj fmfbf sgyķ, aor irueuj mgrœķbķēķ cbgj somfzbf sgyķjķj òéorbfirupbgr agbfjno ygzķbkgsķ œombfjno somfzbf sgyķyg nðjòœtòròbòrso6

%8.DG'>H 2 %>>>.....>>..>.>.'? 2 %>H.L>?'7 

oœftbfēf eubujur/

3t@ !òtòj sgyķ sfstokborfjno joigtf< sgyķbgrķj nðjòœòkborf gyjķ œomfbno, ygbjķz#g scju#g%"' fœgrotf ombojkom surotfybo ygpķbķr/

+. Xgyķ Xfstokborfj<o osgLbgkg

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Xgyķ Xfstokborf

*òk sgyķ sfstokborfjno sgyķbgrng fœgrot mubbgjķbgefbfr/ Agjf pczftf< vo joigtf< sgyķbgrbgaosgpbgkg ygpķbgefbfr/ !u ioréom iðz ðjòjno eubujnurubgrgm, cjbum sgyķbgrng aosgpbgkgygpgrmoj gœgēķngmf fbfœmfbor mubbgjķbgefbfr/ !u fbfœmfbor eòtòj sgyķ sfstokborf féfj ioéorbfnfr/

g! ;g ; %;e' 2 g ; e !  ;g ; %"e' 2 g " e

h! ;g " %;e' 2 g " e <!  ;g " %"e' 2 g ; e

ļmfbf, somfzbf vo cjgbtķbķ sfstokbornomf aosgpbgkgbgrng ng nðrt tokob fœbok %tcpbgkg, éķmgrkg,égrpkg, eðbko' mubbgjķbķr/ Gj#gm, nf1ftgb efbifsgygrbgrng mubbgjķbgj tokob sgyķ sfstokf fmfbfsgyķ sfstokf cbnuēujngj, fmfbf sgyķ sfstokfjnomf nðrt fœbokf notgybķ cbgrgm fj#oboyobfk/

+.7. ļmfbf Xgyķ Xfstokfj<o %Lbgkg 

ļmfbf sgyķ sfstokfjno ygpķbgj tcpbgkg fœbokf, cjbu sgyķ sfstokfjno cbnuēu ifef gyjķ egsgkgmtgmf sgyķbgrķj tcpbgjkgsķ œombfjno ygpķbķr/ ļmfbf sgyķ sfstokfjnomf tcpbgkg murgbbgrķ

gœgēķngmf œomfbno sķrgbgjgefbfr/. ; . 2 ., > ;. 2 >, . ; > 2 >, > ; > 2 >. voyg > ; > 2 . 8bno > %D2>'/

5> ; > tcpbgkg fœbokfjno scjué cbgrgm 5. vo efr scbngmf egsgkgēg gmtgrķbkgm òzoro 5obno> crtgyg éķmgr/ !u cjbum sgyķbgrbg ygpķbgj tcpbgkg fœbokfjnomf O;> rgmgkbgrķjķjtcpbgkķjngj 5. crtgyg éķmkgsķ vo obnomf >fj efr scbngmf egsgkgēg gmtgrķbkgsķjg eojzor/

Ðrjom 5=@ ļmfbf sgyķ sfstokfjo iðro gœgēķngmf tcpbgkg fœbokborfjf ioréomboœtfrobfk/

  >. >.> >.>

; .> ; .>. ; .>>

  >> >>> >...

3t@ +cm sgyķng sgyķbgrķj gbt gbtg tcpbgjkgsķjng, fmf gnot >fj 5obno > cbuœturnuēu efbfjorom,tcpbgjg#gm efrborfj sgyķsķ toseft onfbfr/ (or efr éf<t 5> noēorf féfj, 5obno > noēorf efr scbngmf

 egsgkgēg gmtgrķbķr/

Ðrjom +; 0 Gœgēķng vorfboj tcpbgkg fœbokborfjf ygpgbķk/

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  Xgyķ Xfstokborf

  >>>. >>.> >>>.>>

; .>>. >>>> .>>.>>

>.>.. ; >.>> >>.>.>  >..>>> ;  .>..>.

>..>>>.>

+.5. ļmfbf Xgyķ Xfstokfj<o ķmgrkg

ļmfbf sgyķbgrng éķmgrkg fœbokfjno ðzotbojoj murgbbgr uyiubgjķr@

. " . 2 ., > " . 2 >, > " > 2 ., . " > 2 > %ecré >', >. " > 2 >

!u murgbbgrķj uyiubgjnķēķ yðjtok, #<ru<gj éķmgrkg y8jtokf$ cbgrgm gnbgjnķrķbķr/ Gjg

sgyķjķj éķmgrķbgj sgyķngj eòyòm cbkgsķ nurukujng, ygjf scju#uj 5. voyg .ngj eòyòmcbkgsķ nurukujng ncērungj éķmgrkg yðjtokf mubbgjķbgefbfr/

Ðrjom +70 Gœgēķngmf éķmgrkg fœbokborfjf ncērungj éķmgrkg yðjtokf fbo ygpgbķk/

  >.>>. >.>>>." >>.> " >..>>

>..> >>.>>

+ķmgrkg fœbokf scju#ujuj .ngj mòéòm cbkgsķ nurukujng ncērungj éķmgrkg yðjtokfmubbgjķbgkgz/ !u jonojbo, scju#uj .ngj mòéòm éķmtķēķ fœbokborf ioréomboœtfrkom vo

 efbifsgygrbgrng kgjtķmsgb uyukbgœtķrkg fœbokfjf mcbgybgœtķrkgm gkg#ķybg, #t'kboyoj

grftkotffjo 8ro éķmgrkg$ cbgrgm gnbgjnķrķbgj éķmgrkg yðjtokf mubbgjķbķr/ *òkboyojgrftkotfēf fbo éķmgrkg yðjtokfjno tòk éķmgrkg fœbokborf ygpķbgefbkomto vo eu jonojbo

 efbifsgygrbgrng eu yðjtok mubbgjķbkgmtgnķr/

+.+. %'kboyoj Grftkotff

*òkboyoj grftkotfēf, sgyķsgb efbifsgygrbgrng éķmgrkg fœbokfjf  ioréomboœtfrkom gkg#ķybgmubbgjķbgj kgtokgtfmsob efr yðjtoknfr/

*òkboyoj grftkotfēfjf gjbgkgjķj oj prgtfm ycbu, tgœķtbgrng mubbgjķbgj mfbckotro sgyg#ķjķ iðzðjòjno eubujnurkgmtķr/ $jbu sgyķ sfstokfjno égbķœgj mfbckotro sgygébgrķ iojobno eoœ

 egsgkgmbķnķr/ ..... egœbgjiķé noēorfjnoj fborf ncēru ifnfbnfēfjno ....>, ....? ifef

grtgrmoj, iorfyo ncēru ifnfbnfēfjno sgyg#ķj noēorborf OOOOO, OOOO7 ifef gzgbķr/ !u sgygé

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Xgyķ Xfstokborf

ðrjoēfjno, efr gnķk fborf ifnfbnfēfjno ....> vo efr gnķk iorfyo ifnfbnfēfjno OOOOO noēorfjoubgœķbnķēķjngj eu sgyķbgrg efrefrfjfj tòkboyojf nojkomtonfr/ !ujg iðro ....? sgyķsķjķjtòkboyojf OOOO7 noēorfnfr/

Grgébgrķj mfbckotro sgygébgrķ òzorfjno géķmbgjgj tòkboyoj grftkotfēfjfj fmfbfm sgyķbgrnguyiubgkgsķybg fmf tòrbò tòkboyoj grftkotfēf crtgyg éķmgr@

5> tòkboyojf vo 5? tòkboyojf/

  5> tòkboyojf6 %?j"C">' vo 5? tòkboyojf6 %?j"C' <crkòbborf fbo f<gno onfbfr/

:crkòbnomf \j\ noēorf vorfboj 5C sgyķsķjngmf egsgkgm sgyķsķnķr/ :crkòbborfjfj#obojkosfjnoj6 5? tòkboyojfjfj, 5> tòkboyojfjo > ombojkosf fbo cbuœtuēu iðròbòr/ 5>vo 5? tòkboyojf kgjtķmbgrķ, cjbum sfstokno 5O vo 5>. tòkboyojbor œombfjno toksfb onfbfr/*òkboyoj grftkotfēf éoœftborf ngag iojob efr f<gno fbo, 5r tgegjbķ efr sgyķ sfstokfjno #rt'kboyojf$ vo #r"7 t'kboyojf$ cbgrgm f<gno onfboefbfr/

!u géķmbgkgbgr ķœķēķjng tòkboyoj grftkotfēfjf fmf mķsķkng fj#oboyoefbfrfz@ 5r tòkboyojf vo5r"> tòkboyojf/

+.+.7. #r$ %'kboyoj Grftkotff

r tgegjbķ efr sgyķ sfstokfjno, j egsgkgmbķ pczftf< efr tgksgyķ C fbo toksfb onfbfrso, C sgyķsķjķjr tòkboyojf r j"C %C≬.' cbgrgm tgjķkbgjgefbfr/ Gœgēķngmf ðrjombor, 5r tòkboyojf torfkfjfgjbgkgyg ygrnķk ono#omtfr/

Ðrjom +5 0  %9?9?.'>.  sgyķsķjķj r tòkboyojfjf %cjbu sgyķ cbnuēujngj >. tòkboyojfjf'

 eubgbķk/

Forfboj sgyķng egsgkgm sgyķsķ@ j29 vo tgegj@ r2>. cbnuēujngj6 sgyķjķj r tòkboyojf@

r j"C 2 >.9"9?9?. 2 -N-7.

cbgrgm eubujur/

Ðrjom ++0 %./L?HN'>. sgyķsķjķj >. tòkboyojfjf %r tòkboyojfjf' eubgbķk/

LL

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķ Xfstokborf

Forfboj sgyķng tgk sgyķ mķskķ eubujkgnķēķjngj egsgkgm sgyķsķ6

>.j 2 >.. 2 > cbgrgm gbķjķr vo scjué cbgrgm6

r ."C 2 >"./L?HN 2 %./HNLL'>. 

sgyķsķ eubujur/

Ðrjom +- 0 %?9/HLO'>. sgyķsķjķj >. tòkboyojfjf eubgbķk/

*gk sgyķ mķskķ ? egsgkgmbķ cbnuēujngj sgyķjķj 5r tòkboyojf6

r2>., j2? vo C2?9/HLO noēorborf fbo6

  r j " C 2 >.?"?9/HLO 2 N-/LH>cbgrgm eubujur/

Ðrjom +9 0 %>.>>..'? sgyķsķjķj ? tòkboyojfjf eubgbķk/

Xgyķ fmfbf sfstokno cbnuēujngj, r2? vo sgyķ H egsgkgmbķ cbnuēujngj j2H noēorborf eubujur/!u noēorbor <crkòbno yorfjo mcjubursg, vorfboj fmfbf sgyķjķj 5r tòkboyojf cbgrgm6

%?H' " %>.>>..'? 2 %>...... " >.>>..'? 2 .>.>..

noēorf eubujur/

Ðrjom +1 0 %./.>>.'? sgyķsķjķj ? tòkboyojfjf eubgbķk/

Forfboj fmfbf sfstoknomf sgyķjķj tgk sgyķ mķskķ eubujkgnķēķjngj6 sgyķjķj ? tòkboyojf6

?."C2 > " ./.>>. 2 %./>.>.'? 

cbgrgm eubujur/

Aumgrķngmf géķmbgkgbgrngj vo ðrjombornoj, fmfbf sgyķ sfstokfjnomf efr sgyķjķj ? tòkboyojfjf eubkgjķj oj mcbgy ycbujuj6 sgyķyg sgēngj egmgrgm fbm >o mgngr cbgj sgyķbgrķ cbnuēu ifef eķrgmkgm %> ngafb', nfēor eftbornomf noēorborfj torsfjf gbkgm %> fso ., . fso > ygzkgm' cbnuēusðybojoefbfr/

r tòkboyojf, eòtòj sgyķ sfstokborf féfj yumgrķng vorfboj oœftbfmtoj éķmgrtķbgefbfr/ !urgnggéķmbgjgj >. vo ? tòkboyojborf, oj écm mgrœķbgœtķēķkķz sgyķ sfstokborf cbnumbgrķjngjnotgybgjnķrķbkķœtķr/

+.+.5. #r$ t'kboyoj grftkotff fbo éķmgrkg

L-

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Xgyķ Xfstokborf

$jbum sgyķ sfstokfjno gbķœmķj cbnuēukuz vo mckœuyg ift ecré gb cbgrgmfsfkbojnfroefbo#oēfkfz ncērungj éķmgrkg yðjtokf efbifsgygrbgr féfj écm mubbgjķœbķ noēfbnfr/8bomtrcjfm obokgjbgr fbo éķmgrkg sðz mcjusu cbnuēujng ngag mubbgjķœbķ %otmfj' cbgj yðjtok,sgyķbgrķj tòkboyojfjf gbgrgm tcpbgkg fœbokf ygpkgmtķr/ !u yðjtokno, 5r tgegjķjngmf fmf

 pczftf< sgyķjķj 5"C fœbokf gœgēķngmf ifef ðzotbojoefbfr@

>/ ļmf sgyķyķ éķmgrkg yorfjo sgyķsķjķj mojnfsf fbo C sgyķsķjķj 5r tòkboyojftcpbgjķr/

?/ *cpbgkg scju#ujng obno onfboj noēor fj#obojfr@

g' 8ēor oj scbngmf egsgkgmbgrķj tcpbgjkgsķ scju#ujng obno noēorf cbuœursg eu noēor gtķbķr/ !ubujgj scju#uj 5%;' pczftf< cbnuēu mgeub onfbfr/

 e' 8ēor obno noēorf cbuœkgzsg, tcpbgkg scju#ujng obno onfboj noēorfj 5rtòkboyojf gbķjķr vo eubujgj noēorfj ðjòjo 5%"' omsf fœgrotf mcjubur/

Ðrjom +60 >. tòkboyojfjf mubbgjgrgm, %N?9L? H  L?9.' 2 K fœbokfjf ygpgbķk/

  2N?9L? N?9L?

  C2.L?9. >. tòkboyojf C2OHN9. ; OHN9.

  obno > HO?7?

fœgrot ftf

ļœgrot eftf >nfr vo eu nurukng scjué6 %;HO?7?' cbgrgm eubujur/

Ðrjom +40 %.L?9.'>. W %N?9L?'>. 2 K fœbokfjf 5r tòkboyoj grftkotfēf yðjtokf fbo ygpgbķk/

 C 2 .L?9. .L?9.

  2 N?9L? >. tòkboyojf 2 ?N-H7 ; ?N-H7

  ob<o ym   . L.N>7

!u nurukng L.N>7 sgyķsķjķj 5r tòkboyojf gbķjķr/

L9

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķ Xfstokborf

Xcjué cbgrgm6

%"HO?7?'

noēorf eubujur 

Ðrjom +=0 5 W C fœbokfjf gœgēķngmf vorfboj sgyķbgrbg 5r tòkboyojfjf mubbgjgrgm ygpgbķk/

2 >.>.>.. >.>.>..

 C 2 >...>.. ⇕ ? tòkboyojf ⇕  ; .>>>>..

obno eftf > ..>....

Xcjué cbgrgm6%..>....'? 

noēorf eubujur/

Ðrjom -; 0  2 >...>..

  C 2 >.>.>.. cbnuēujg iðro 5  H  C fœbokfjf 5? tòkboyojfjo iðroygpgbķk/

>...>..

 C 2 >.>.>.. fso ? tòkboyojf 2 .>.>>.. eubujur/ ; .>.>>..

obno ycm . >>>....

!ubujgj scju#uj 5r tòkboyojf gbķjķr/ Xcjué 6  %" ..>....'? 

cbgrgm eubujur/

Ðrjom -70 %>9'>. " %?.'>. fœbokfjf fmfbf sgyķ sfstokfjno 5? tòkboyojf yðjtokf fbo ygpgbķk/

%>9'>. 2 %.>>>>'? 2 C .>>>>

%?.'>. 2 %>.>..'? 2 ? tòkboyojf ; .>>..

obno ycm . >>.>>

ļœgrot eftf 5. cbnuēujngj, eubujgj sgyķjķj 5? tòkboyojf gbķjķr/ Xcjué6

LH

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Xgyķ Xfstokborf

"%..>.>'? 

cbgrgm eubujur/ !u sgyķ %"9'>. sgyķsķjķj mgrœķbķēķnķr/

Ðrjom -50 %?>O'>. " %?LL'>.  fœbokfjf 5? tòkboyojf yðjtokfybo ygpgbķk/%?>O'>. 2 %>>.>>.>>'?  >>.>>.>>

%?LL'>. 2 %>>>.>..>'?  ? tòkboyojf ; ...>.>>>

obno ycm . >>>>..>.

!ubujgj sgyķjķj ? tòkboyojf gbķjķrsg scjué 6

%">>>.'? cbgrgm eubujur/

0rjombornoj œðybo efr scjué éķmgrķbgefbfr@ r tòkboyojf fbo éķmgrkg fœbokfjno fœgrot eftf cbgrgmgnbgjnķrķbgj efto egmķbķr/ ļœgrot eftf 5> fso scju#uj %;', fœgrot eftf 5. fso scju#uj %"' cbnuēu

 eubujur/ ļœbok eujg iðro scjuébgjnķrķbķr/

+.+.+. #r"7$ %'kboyoj Grftkotff

r tgegjķjg iðro vorfboj vo ygbjķz#g tgk sgyķ mķskķ eubujgj pczftf< efr j sgyķsķjķj #r"7$t'kboyojfN

#5j"3"7$ <crkòbòybo,

5j egsgkgmbķ tgk sgyķ vo 5k egsgkgmbķ mosfrbf mķskķ eubujgj efr sgyķjķj #r"7$ t'kboyojfN#rj"r"k"3$ 

<crkòbò fbo eubujgefbfr/

Ðrjom -+0 %9?9?.'>. sgyķsķjķj 5r"> tòkboyojfjf %5O tòkboyojfjf' eubgbķk/

Xgyķjķj ygbjķz#g tgk sgyķ mķskķ eubujnuēujngj, 5?j"C"> <crkòbò uyiubgjgefbfr/ *gegj 2 >.vo egsgkgm sgyķsķ j 2 9 cbnuēujg iðro fbifbf <crkòbnoj scjué6

= j"C"> 2 >.9"9?9?.">2-N-NO

cbgrgm eubujur/

Ðrjom --0 %./L?HN'>. sgyķsķjķj O tòkboyojfjf eubgbķk/

LN

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķ Xfstokborf

Xgyķjķj tgk sgyķ vo mosfrbf mķskķ eubujnuēujngj fbifbf <crkòb uyiubgjķrsg6

r j"r "k WC 2 >.. " >."- " ./L?HN 2 >"./...>"./L?HN  2 ./OOOO " ./L?HN 2 ./HNL?

noēorf eubujur/

Ðrjom -90  %>.>>..'? sgyķsķjķj 5r"> tòkboyojfjf %> tòkboyojf' eubgbķk/

Forfboj sgyķ fmfbf sfstokno cbnuēujngj r2? vo sgyķng H egsgkgm eubujnuēujngj j2H nķr/!u nurukng,

?j"C">2?H">.>>..">2>......">.>>..">

  2 %.>..>>'? 

noēorf eubujur/

Ðrjom -10 %./.>>.'? sgyķsķjķj > tòkboyojfjf eubgbķk/

ļmfbf sfstoknomf sgyķng tgksgyķ mķskķ eubujkgnķēķjngj j2. vo mosfrbf mķsķk - egsgkgmbķcbnuēujngj k2- nòr/ ļbifbf <crkòbòj uyiubgjkgsķ fbo scjué6

%?j " ?"- " ./.>>.' 2 %>"./...> " ./.>>.'

  2 %./>>>>"./.>>.'?

2 %./>..>'? 

cbgrgm eubujur/

0rjombornoj iðròbo#oēf ifef cjbum sfstoknomf efr sgyķjķj 5r"> tòkboyojf %O tòkboyojf'6 aor egsgkgēķj Ongj éķmgrķbkgsķ fbo obno onfbfr/ ļmfbf sfstoknomf efr sgyķjķj 5r"> tòkboyojfjf %>tòkboyojfjf' eubkgm ngag egsfttfr/ Forfboj sgyķngmf >bor ., .bgr > ygpķbķj#g crtgyg 5r">tòkboyojf éķmgr/

ļmfbf sgyķ sfstokfjno > tòkboyojf mcbgy#g eubujnuēujngj, ? tòkboyojfjfj fstojfbnfēfnurukbgrng6 > tòkboyojfjo, fœboko iðro \>\ voyg 5r"k$  noēorfjfj ombojkosfybo 5?tòkboyojfjfj òrotfbkosf fœbokf tor#fa onfboefbfr/

Ðrjom -60 5> tòkboyojf %.>..>.>>'? cbgj sgyķjķj ? tòkboyojfjf eubgbķk/

L7

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Xgyķ Xfstokborf

Forfboj sgyķyg 5> ombojkosf fbo sgyķjķj ? tòkboyojf6

.>..>.>>  ; >

  .>..>>..cbgrgm eubujur/

Ðrjom -40 >\tòkboyojf %./>.>>'?  cbgj sgyķjķj ? tòkboyojfjf  eubgbķk/

Forfboj sgyķjķj 5? tòkboyojf eubkgm féfj ðj#o ombojkosf ioromoj sgyķ eubujur/ 8mbojkosfioromoj sgyķ6

  r"k  2 ?"-  2 ./...> cbnuēujngj 5? tòkboyojf6

./>.>>;  ./...>

  ./>>..cbgrgm eubujur/

+.+.-. #r H 7$ %'kboyoj )8jtokf fbo ķmgrkg

5r W > tòkboyojf fbo éķmgrkg fœbokf tgkgkoj 5r tòkboyojf fbo éķmgrkg fœbokfjfj gyjķsķnķr/Agbjķz#g scju#uj pczftf< cbnuēu nurukbgrng, nòzobtko eftf nojfboj > sgyķsķjķj ombojkosffœbokf ygpķbķr/ 5r tgegjķjng fmf pczftf< sgyķjķj "C fœbokf %r"> tòkboyojf yðjtokf fbo'gœgēķngmf œomfbno ðzotbojoefbfr@

7" sgyķsķjķj mojnfsf fbo C sgyķsķjķj 5r"> tòkboyojf tcpbgjķr/

5" *cpbgkg scju#ujng eubujgj noēorfj tgœkg %fœgrot' eftf mcjtrcb onfbfr@

g" 8ēor tgœkg eftf cbuœursg %fœgrot eftf >', eubujgj noēoro > noēorf ombojfr/

" 8ēor tgœkg eftf cbuœkgzsg %fœgrot eftf .', tcpbgkg scju#ujng obno onfbojsgyķjķj 5r"> tòkboyojf gbķjķr vo ðjòjo %"' fœgrotf mcjur/

Ðrjom -=0 2N?9L?,

LO

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķ Xfstokborf

  C2.L?9. fso 5"C fœbokfjf 5r"> tòkboyojfjo iðro ygpgbķk/

ļœbokf ygpgefbkom féfj ðj#o éķmgrķbgj sgyķjķj 5r"> tòkboyojfjfj eubujkgsķ ioromfr/ !ubujgj eu noēor fbo 5 sgyķsķ tcpbgjķr/

  N?9L? Cjfj O tòkboyojf⇕ OHN-O ; OHN-O  %tgœkg 4fœgrot eftf' ↕ > HO?7>

fœgrot eftf 5> cbnuēujngj scju#g 5> ombojfr/ !u nurukng,

  HO?7>  ; >

HO?7?

noēorf eubujur/

Ðrjom 9;0  2 .L?9.

 C 2 N?9L? fso 5"C fœbokfjf O tòkboyojfjo iðro ygpgbķk/ 

+ķmgrķbgj sgyķjķj O tòkboyojf gbķjķp, tcpbgkg fœbokf ygpķbķrsg6

  .L?9.  C sgyķsķjķj O tòkboyojf ⇕  ?N-HN ; ?N-HN  %tgœkg ycm'  . L.N>N

ļœgrot eftf noēorf 5. cbnuēujngj, scju#uj O tòkboyojfjf gbķp, ðjòjo %"' fœgrotf mcykgkķzioromfr/ Xcjué 6

  %" HO?7?'>.

cbgrgm eubujur/

Ðrjom 970 2>.>.>.. vo C2>...>.. cbnuēujg iðro 5"C fœbokfjf %r">' tòkboyojfjoiðro ygpgbķk/

 Cjfj > tòkboyojf⇕ .>>>.>> cbnuēujngj6

  >.>.>..  ; .>>>.>>  tgœkg vgr > ...>>>>

sgyķsķ obno onfbfr/ Xcju#g 5> ombojkosf ioromfr/

...>>>>

-.

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Xgyķ Xfstokborf

  ; >  ...>....!u nurukng scjué6

%>....'? 

cbgrgm eubujur/

Ðrjom 950  2 >...>..,

 C 2 >.>.>.. fso "C fœbokfjf > tòkboyojfjo iðro ygpgbķk/

  >...>..

  Cjfj > tòkboyojf⇕  ; .>.>.>>

  fœgrot eftf 2 . . >>.>>>>

!u nurukng scjué %"' nfr vo #ovgp6

 %"..>....'? 

cbgrgm eubujur/

Ðrjom 9+0 %>9'>.  " %?.'>.  2 K fœbokfjf > tòkboyojfjo iðro ygpgbķk/

Xgyķbgr cjbu sfstokno vorfbnfēfjnoj, sgyķbgrķj fmfbf sfstoko nðjòœtòròbkosf ioromfr/ Xgyķbgrfmfbf sfstoko nðjòœtòròbòr vo éķmgrķbgj sgyķjķj 5> tòkboyojf gbķjgrgm tcpbgkg fœbokfygpķbķrsg6

%>9'2 .>>>> ⇕  .>>>>

  %?.' 2 >.>.. ⇕  ; .>.>>

  . >>.>.

sgyķsķ obno onfbfr/ !ubujgj sgyķjķj > tòkboyojfjfj gbķjkgsķ fbo scjué6

%" ..>.>'? cbgrgm eubujur/

+.-. ļmfbf Xgyķ Xfstokfj<o grLkg

ļmfbf sgyķ sfstokfjno égrpkg fœbokfjno cjbum sfstokno mubbgjķbgj fœbok sķrgsķ tgmfp onfbfr vo5. vo 5> noēorborfjfj égrpķbkgsķ sðz mcjusu cbnuēujngj gœgēķngmf murgbbgr ioéorbfnfr/

. ) . 2 . , . ) > 2 . , > ) . 2 . , > ) > 2 >/

->

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķ Xfstokborf

Ðrjom 9-0 %>.>>'? B %>.>' ? vo %>.>>>'? B %>>.' ? fœbokborfjf ygpgbķk/

  >.>> >.>>>  ) >.> ) >>.

>.>> .....  .... >.>>>; >.>> ; >.>>>  >>.>>> >...>.>.

+.9. ļmfbf Xgyķ Xfstokfj<o E8bko

ļmfbf sgyķbgrng eðbko fœbokf, cjbum sgyķ sfstokfjno cbnuēu ifef eðbòjojnoj eðbojfjéķmgrķbkgsķ fœbokfjo scjué sķ<ķr mgbķj#gyg mgngr novgk onfbkosfybo ioréomboœtfrfbfr/

Ðrjom 990 %>.>>.'? ù %>..'? 2K fœbokfjf ygpgbķk/

  >.>>. >..

" >.. >.>,>

..>>.

  "  >..

.>..

" >..

  ...

Xcjué 2 %>.>/>'? eubujur/

Ðrjom 910 %>>>>>.>' ù %>.>' 2K fœbokfjfj scju#uju eubgbķk/

  >>>>>.> >.>

  " >.> >>..>

  .>.>

-?

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Xgyķ Xfstokborf

  " >.>

  ....>.>

  " >.>  ...

Xcjué 2 %>>..>'? cbgrgm eubujur/

%omrgrbgkg ?o gbķœkg Xrubgrķ

>/ Xgyķ sfstokborfjfj tgrfasob iobfœfkfjf géķmbgyķjķz/

?/ !fbifsgygr tomjcbc1fsfjno mubbgjķbgj sgyķ sfstokborfjf sķrgbgyķjķz/

L/ Xgyķ sfstokborfjfj tgegj noēorfjo iðro sgafp cbg#gmbgrķ nojmbokborf ygzķjķz/

-/ $jgbtķbķ sgyķ sfstokfjno mubbgjķbgj agr<borfj toksfb ottfmborf gjbgkbgrķ géķmbgyķjķz/

9/ !fjgry sgyķ sfstokfjf tgjķkbgyķjķz/

H/ 5!U*, 5oj nòœòm gjbgkbķ eftoj yòmsom gjbgkbķ eft torfkborfjf géķmbgyķjķz/

N/ Xomfzbf sgyķ sfstokfjfj ðzobbfmborfjf ðzotboyfjfz/

7/ . " ?. grgsķjngmf sgyķbgrķ, fmfbf, somfzbf vo cjgbtķbķ sfstokno ygzķjķz/

O/ %>-N>'>.2%K'? fœbokfjf ygpķjķz/

>./ %9N>,9N>'>.2%K'? nðjòœòkòjò ygpķjķz/

>>/ %L-H,>?9'>.2%K'7  fœbokfjf ygpķjķz/

>?/ %>-9,>L9'>.2%K'>H  fœbokfjf ygpķjķz/

>L/ %>-9L,>-9>'>.2%K'>H  fœbokfjf ygpķjķz/

>-/ !fbifsgygrbgrng fmfbf sgyķ sfstokf fbo efrbfmto somfzbf vo cjgbtķbķ sgyķ sfstokborfjfj tor#faonfbko soeopborf jobornfrK

>9/ %>.>>.>.>>'? 2 %K'7 vo %>>.>>.>/>.>>.>'? 2%K'7 nðjòœòkborfjf ygpķjķz/

-L

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķ Xfstokborf

>H/ %>.>>>.>>.>>.>>>>..'? 2 %K'>H vo %>.>>.>/>.>>>>.>'? 2 %K'>H fœbokborfjf ygpķjķz/

>N/ %L9?H'7 2 %K'? vo %?9/L>H' 2 %K'? éovrfkborfjf ygpķjķz/

>7/ %?>-H'7 2 %K'>H vo %>-?/LN'7 2 %K'>H nðjòœòkborfjf ygpķjķz/>O/ %>.>>.>>>'?2 %K'>. vo %>.>>./>.>>'? 2 %K'>. éovrfkborfjf ygpķjķz/

?./ %?>H-'7 2%K'>. vo %>-?/LN'7 2 %K'>. nðjòœòkborfjf ygpķjķz/

?>/ %98L'>H 2 %K'? vo %>:?/-8O'>H 2 %K'? fœbokborfjf ygpķjķz/

??/ %L:>'>H 2 %K'7 vo %?G/!L'>H 2 %K'7 éovrfkborfjf ygpķjķz/

?L/ %?G>'>H 2 %K'>. vo %:?/L!'>H 2 %K'>. nðjòœòkborfjf ygpķjķz/

?-/ Gœgēķngmf tcpbgkg fœbokborfjf ygpķjķz/

>>.>> >>>.> >>>>.

  ; >>.> ; >>>> >>.>>

  %K' %K' ; >.>>>

  %K'

?9/ Gœgēķngmf éķmgrkg fœbokborfjf ncērungj éķmgrkg yðjtokf fbo ygpķjķz/

  >.>> >>.>> >.>>>.

  "  >>> " >.>>> " >.>>>

%K' %K' %K'

?H/ %99??.'>.  vo %?N-9'>. sgyķbgrķjķj r tòkboyojborfjf eubujuz/

?N/ %>.>>>.>>'?  vo %>.>>..>>'? sgyķbgrķjķj r tòkboyojborfjf eubujuz/

?7/ ļmfbf sfstoknomf efr sgyķjķj r tòkboyojfjf eubkgjķj prgtfm yðjtokfjf géķmbgyķjķz/

?O/ %99??."?N-9'>. fœbokfjf >. tòkboyojfjo iðro ygpķjķz/

L./ %?N-9"99??.'>. fœbokfjf >. tòkboyojfjo iðro ygpķjķz/

--

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Xgyķ Xfstokborf

L>/ %>.>>>.>>">.>>..>>'? fœbokfjf ? tòkboyojfjo iðro ygpķjķz/

L?/ %>.>>..>>">.>>>.>>'? fœbokfjf ? tòkboyojfjo iðro ygpķjķz/

LL/ %-O?H?'>. vo %LH>?L'>. sgyķbgrķjķj 5r">tòkboyojborfjf eubujuz/L-/ %>.>>>..>>'? vo %>..>>>.>>'? sgyķbgrķjķj 5r"> tòkboyojborfjf eubujuz/

L9/ %-O?H?"LH>?L'>. fœbokfjf 5O tòkboyojf mubbgjķbgrgm ygpķjķz/

LH/ %LH>?L"-O?H?'>. fœbokfjf 5O tòkboyojf mubbgjķbgrgm ygpķjķz/

LN/ %>.>>>..>> W >..>>>.>>'? fœbokfjf 5r"> tòkboyojf mubbgjķbgrgm ygpķjķz/

L7/ %>..>>>.>> " >.>>>..>> '? fœbokfjf 5r"> tòkboyojf mubbgjķbgrgm ygpķjķz/

LO/ Gœgēķngmf égrpkg fœbokborfjf ygpķjķz/

%>.>>.>>' B %>.>' 2 %K'? , %>.>>>.>' B %>>..' 2 %K'? ,  %>>>>.....' B %>...' 2 %K'?

-./ Gœgēķngmf eðbko fœbokborfjf ygpķjķz/

%>.>>.>>' %>.>' 2 %K'?

%>.>>>.>' %>>..' 2 %K'?

%>>>>.....' %>...' 2 %K'?  

-9

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Mcnbgkg vo Mcnbgr(Hcnfji gjn Hcnos)

EÐBÒK

8

Gkgébgr 

Mcnbgkg fbo fbifbf tokob mgvrgkbgrķ géķmbgkgm 

 

Mcnbgkg éoœftborfjf tgjķtkgm

Xgyķsgb mcnbgrķ géķmbgkgm 

 

@grmbķ sgyķsgb mcnbgkg yðjtokborf cbgrgm Irgy Mcn! Grtķ 8 mcn! "#no $ mcn! %œftbfm mcn

vo &gr mcn yðjtokborfjf notgybgjnķrkgm 

 

Gb'gsgyķsgb mcnbgrķj tokobborfjf géķmbgkgm 

 

Gb'gsgyķsgb mcnbgkg yðjtokborf cbgrgm (GX)**# vo (%E)+*)# yðjtokborfjf tgjķtkgm 

Egœbķmbgr

• Xgyķsgb Mcnbgr

• E)+ Mcn ,Efjgry )cnon +o-fkgb )cno. / <7$5 Mcn

• Irgy Mcn

• Grtķ 8 ,%-oss 8. Mcn

• "#no $ Mcn>

• %œftbfm ,?grfty. Mcn

• Gfmoj Mcn

• Egr ,0&m. Mcn

• Gb'g Xgyķsgb Mcnbgr

• GX)** Mcn

 

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Ifrfœ

Mcnbgkg, fmf mòko obokgjbgrķ grgsķjng mgrœķbķmbķēķ mosfj cbgrgm eobfrtfboj murgbbgr eòtòjònòrnfyo tgjķkbgjgefbfr. Nfēor efr noyfœbo, iðròjoefboj, cmujgefboj ygzķ, sgyķ vo fœgrotborfjnoēfœtfrfbkosf fœbokfjo (mcnbgkg# nojfr. Egœmg efr egmķœ géķsķ fbo, scjbu obokgjg sgaf efrmòkojfj aor efr obokgjķjg efr mcn vorfbkosf, mcnbgkg cbgrgm tgjķkbgjķr.

!"crso# gb$geosf mcnbgkgyg fyf efr ðrjomtfr. Mcnbgkg fœbokfjo nfēor efr ðrjom, efbifsgygrķjéovrosob efrfkborf fbo kormozf fœbok òjftosf grgsķjngmf efbif fbotfœfkfnfr. Efbifsgygrbgrng, efrgb$geotfm%sgyķsgb mgyjgm cbgj mbgvyonoj iðjnorfboj efbif, & voyg ' eftbfm fmfbf sgyķbgr œombfjno

mcnbgjnķmtgj scjrg fbifbf efrfko iðjnorfbfr.

Mcnbgkg fœbokf ygbjķz(g cjbum sfstoknomf sgyķbgrķ )*, +, ,....,- féoroefbo(oēf ifef, gb$geotfmvo gb$gsgyķsgb efbifborfj mcnbgjkgsķjķ féoroefbfr. /grmbķ efbifborf mcnbgkg fatfyg(ķ vo noēfœfmgbgjbgrng mcnbgkg ioromsfjfkf éoœftbf mcnbgkg yðjtokborfjf ncēurkuœtur.

Mcnbgkg fœbokf gœgēķngmf gvgjtg<bgrķ sgēbgr7

+. 5rftkotfm fœbokborno mcbgybķm sgēbgr.

. 8gtgbgrķj eubujkgsķjķ mcbgybgœtķrķr.

>. 8gtgbgrķj nòzobtfbkosf fœbokborfjf egsftboœtfrfr.

?. Eobbom fœbokborfjno vorfkbfbfēf grtķrķr.0. Efbifborfj fœbojkosf fœbokfjfj fjsgjbgr(g mcbgy(g gjbgœķbkgsķjķ sgēbgr.

9gbjķz(g sgyķsgb mgrgmtorborfj mcnbgjkgsķybg crtgyg éķmgj mcnbgrg (sgyķsgb mcnbgr#  )E1Nmcnbgrķ nojfbfrmoj, gb$geotfm vo sgyķsgb mgrgmtorborfj mcnbgjkgsķjķ féoroj mcnbgkgyðjtokborfjo (gb'gsgyķsgb mcnbgr#  nojfr. Eu nurukng mcnbgr fmf iru gbtķjng fj(obojoefbfr76gyķsgb vo 5b$g 6gyķsgb mcnbgr.

59 Xgyķsgb Mcnbgr 

4jbu efr sgyķjķj fmfbf sgyķ sfstokfjnomf mgrœķbķēķjķj ygzķbkgsķ fbo cbuœgj mcnbgkg sfstokf,!ygbķj fmfbf mcnbgkg#  )uro efjgry (cnfji cbgrgm fsfkbojnfrfbfr. 6gyķsgb sfstokbornomubbgjķbgj mcnbgkg sfstokborf ygbķj fmfbf sgyķ sfstokfjno cbkgygefbfr.

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  Mcnbgkg vo Mcnbgr 

9gbjķz(g sgyķsgb mgrgmtorborfj mubbgjķbnķēķ sgyķsgb mcnbgkg sfstokborfjfj écm iojfœ uyiubgkggbgjķ cbkgsķ jonojf fbo, écm $grmbķ sgyķsgb mcnbgkg yðjtokborf mubbgjķbkgmtgnķr. 6gyķsgbmcnbgkg yðjtokborfjo ðrjom cbgrgm=

f% E1N mcnu,ff% 2rgy mcnu,

fff% ;> mcnu,

fv% 5fmoj mcnu,

v% 0#to mcnu,

vf% Egr mcnu,

mcnbgkg yðjtokborf vorfboefbfr.

6gyķsgb mcnbgkg yðjtokborfjo ðrjom cbgrgm vorfboj mcnbgkg éoœftborfjo iojob ðzobbfmborf fboðzotboyobfk.

5959 E)+ Mcn ,Efjgry )cnon +o-fkgb )cno. / <7$5 Mcn

4jbum sfstoknomf efr sgyķjķj, aor efr egsgkgēķjķj fmfbfm sgyķ sfstokfjnomf mgrœķbķēķjķj nðrt eft œombfjno ygzķbkgsķ fbo crtgyg éķmgj mcnbgkg yðjtokfjo, (1mfbf Mcnbgjkķœ 6jb XgyķMcn / E)+ mcn# )Efjgry )cnon +o(fkgb 1cno fskf vorfbfr. 4jbum sgyķ sfstokf * fbo -grgsķjngmf sgyķbgrķ féornfēfjnoj, aor egsgkgmtgmf sgyķjķj fmfbf sfstokno mcnbgjkgsķ féfj ?

 efto fatfygé vgrnķr. 4jbu efr sgyķyķ E1N mcnbu cbgrgm ygzkgm féfj, cjbu sgyķjķj aorefr egsgkgēķ ? eftbfm fmfbf sgyķ irubgrķ œombfjno ygzķbķr. 9gzķbgj irubgr efr grgyg iotfrfbfj(oE1N mcnbu sgyķ obno onfbfr. 

Eurgng ujutubkgkgsķ ioromoj, eubujgj sgyķjķj ):>+* sgyķsķjķj fmfbf sgyķ sfstokfjnomfmgrœķbķēķ cbkgnķēķnķr. 

Ðrjom 5> ):>+*  sgyķsķjķ E1N mcnu fbo mcnbgygbķk.

8orefr egsgkgmtgmf sgyķjķj fmfbf mgrœķbķēķ ? eft cbgrgm ygzķbķrsg=

  : >**+* *++* **++ sgyķbgrķ eubujur.

6gyķbgrķj efrboœtfrfbkosfybo=

  ):>+*  3  )**+**++***++E1N

oœftbfēf obno onfbfr.

?'

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  Mcnbgkg vo Mcnbgr 

 

59$9 Irgy Mcn

2rgy mcnbgkg yðjtokf, egsgkgm gēķrbķēķ cbkgygj efr mcnbgkg yðjtokfnfr. Egsgkgmgēķrbķēķjķj cbkgkgsķ, aor efr egsgkgmtgmf sgyķbgrķj egsgkgm gēķrbķmbgrķjg iðro mgrœķbķmbgrķjķjcbkgkgsķnķr.

6gyķsgb obomtrcjfm vo efbifsgygr ifrfœ%éķmķœ fœbokborfjno mubbgjķbgj 2rgy mcnbgkg yðjtokf,kfjfkuk noēfœfkbf mcnbgr sķjķ$ķ féorfsfjno yor gbķr. Eujuj jonojf efr sgyķngj nfēorfjoioéormoj ygbjķz(g efr eftfj mcjuk noēfœtfrkosfnfr. Lrjoēfj= ygbķj fmfbf )efjgry mcnbgkgng)>+* 3 )**++ noēorfjnoj )?+* 3 )*+** noēorfjo ioéormoj òé eftfj noēorf noēfœfrmoj, irgymcnbgkgng ygbjķz(g efr eftfj noēorf noēfœfr. 9gbjķz(g, -#ngj *#g ioéfœto écm sgyķng eft mcjuknoēfœtfrfr.

2rgy mcnbgjkķœ sgyķbgrng egsgkgm noēorf cbkgnķēķjngj, eu mcnbgkg yðjtokfjfj grftkotfmfœbokborfj cbnuēu yorborno mubbgjķbkgsķ kòkmòj noēfbnfr. 5j(gm sòtuj osgsķjg iðro égbķœgj(fagzbgrngmf agtgyķ gzgbttķēķjngj, ifrfœ G éķmķœ efrfkborfjno vo gjgbci % nf<ftgb éovfrf(fbornotor(fa onfbfrbor.

4jbu sgyķbgrķj mgrœķbķēķ cbgj fmfbf sgyķbgrķ 2rgy mcnbgjkķœ cbgrgm f$gno otkom féfj, efr sgyķngjnfēorfjo ioéfœto tom efr eftfj noēor noēfœtfrkosf osgs gbķjķr. gebc >.+#no, *%+0 grgsķjngmfcjbu sgyķbgrķj mgrœķbķēķ cbgj fmfbf vo irgy mcnbgjkķœ sgyķbgr iðròbkomtonfr. 2rgy mcnbusgyķbgrķj kgasuru= tcbgkg, éķmgrkg vo nfēor grftkotfm fœbokborf yggefbkom féfj fmfbf sgyķsfstokfjo nðjòœtòròbko zcrujbubuēunur. Eu nurukng fmfbf sgyķbgrķ 2rgy mcng éovfrkom voyg2rgy mcnbu efr sgyķjķj fmfbf mgrœķbķēķjķ eubkgm féfj gœgēķngmf yðjtokbor mubbgjķbķr.

f/ 1mfbf Xgyķbgrķj Irgy Mcnjg 0ovrfbkosf>

Hmfbf sfstoknomf efr sgyķyķ 2rgy mcnbu sgyķ œombfjo nðjòœtòrkom féfj, oj yòmsom egsgkgmnoēorfjo sgaf eftfj scbujng !*# cbnuēu mgeub onfbf, aor eft scbujngmf eft fbo tcbgjgrgmygzķbķr. Eu fœboko ojnòœòm egsgkgm noēorbfmbf efto mgngr novgk onfbfr. bno onfboj sgyķ 2rgy

mcnbu sgyķnķr.

Ðrjom $> )+**+ **++ *++*E1N  sgyķsķjķ cjbu sfstoko éovfrobfk.

6gyķ nðrnorbf irubgrg gyrķbgrgm aor efr irutgmf fmfbf sgyķbgrķj cjbu mgrœķbķēķ ygzķbķrsg=

)+**+ **++ *++*E1N 

- > :

sgyķbgrķ eubujur. Eubujgj sgyķbgrķj efr grgng ygzķbkgsķybg scjué cbgrgm=

)+**+**++*++*E1N 3 )->:+* 

sgyķsķ obno onfbfr.

74

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  Mcnbgkg vo Mcnbgr 

Ðrjom 8> )+*+++*+*+  fmfbf sfstoknomf sgyķyķ 2rgy mcnujg éovfrobfk.

  * + * + + + * + * + Efjgry 6gyķ

Egœbgkg eftf

+ + + * * + + + + 2rgy mcnbu sgyķ

6cjué cbgrgm=

  )+*+++*+*+ 3 )+++**++++ 2rgy

oœftbfēf ygzķbgefbfr.

 Ðrjom 7>  )+***+*+  Efjgry sgyķsķjķ 2rgy mcnujg éovfrobfk.

  * + * * * + * + Efjgry 6gyķ 

+ + * * + + + 2rgy mcnbu sgyķ

6cjuétg=

)+***+*+ 3 )++**+++

oœftbfēf eubujur.

ff/ Irgy Mcnb Efr Xgyķjķj 1mfbf Xgyķbgrg 0ovrfbkosf7

2rgy mcnbu efr sgyķyķ fmfbf sfstoknomf sgyķ œombfjo nðjòœtòrkom féfj, oj scbngmf eft cbnuēuifef gœgēķyg fjnfrfbfr vo fjnfrfboj sgyķybg efr scjrgmf egsgkgmtg eubujgj sgyķ tcbgjgrgmygzķbķr. Eubujgj sgyķ fbo efr scjrgmf egsgkgmtgmf sgyķ tcbgjķr vo eu fœboko oj nòœòmnoēorbfmbf efto mgngr novgk onfbfr.

Ðrjom ">  )+++**++++2O59 sgyķsķjķ fmfbf sgyķ sfstokfjo éovfrobfk.

+ + + * * + + + + 2rgy mcnbu sgyķ

+ * + + + * + * + Hmfbf sgyķ

0*

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  Mcnbgkg vo Mcnbgr 

6cjuétg=

  )+++**++++2O59 3 )+*+++*+*+ 

oœftbfēf eubujur.

Ðrjom => )++**+++2O59 sgyķsķjķ fmfbf sgyķ sfstokfjo éovfrobfk.

  + + * * + + + 2rgy mcnbu sgyķ

 

+ * * * + * + Hmfbf 6gyķ

6cjué cbgrgm=

  )++**+++2O59 3 )+***+*+ 

oœftbfēf eubujur.

6jb +o2or 1mfbf +o2or

<7$5

Irgy Mcn

Egsgkgm no2orf ycm 

E)+ Mcnb+o2or

< <<<< <<<< <<<< <<<<

7 <<<7 <<<7 <<<< <<<7

5 <<7< <<77 <<<< <<7<

8 <<77 <<7< <<<< <<77

> <7<< <77< <<<< <7<<

? <7<7 <777 <<<< <7<7

0 <77< <7<7 <<<< <77<9 <777 <7<< <<<< <777

1 7<<< 77<< <<<< 7<<<

6 7<<7 77<7 <<<< 7<<7

7< 7<7< 7777 <<<7 <<<<

77 7<77 777< <<<7 <<<7

75 77<< 7<7< <<<7 <<7<

78 77<7 7<77 <<<7 <<77

7> 777< 7<<7 <<<7 <7<<

7? 7777 7<<< <<<7 <7<7

;g&bc 8959 9gbķj fmfbf mcnbu vo irgy mcnbu sgyķbgr.

"5

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  Mcnbgkg vo Mcnbgr 

5989 Grtķ 8 ,%-oss 8. Mcn

5rtķ > mcnu );> 1cno, E1N mcnu fbo fbifbfnfr vo eobfrbf grftkotfm fœbokborno fœbok mcbgybķēķjonojfybo E1N mcnu yorfjo mubbgjķbķr. Efr cjbu sgyķjķj 5rtķ > mcnujngmf mgrœķbķēķ, cjbu

sgyķjķj mgrœķbķēķ cbgj fmfbf sgyķyg > ombojkfœ agbfnfr. Eu jonojbo eu mcnbgkg yðjtokf, !>$gzbgbķm mcnu# cbgrgm tg fsfkbojnfrfbfr. 5rtķ > mcnujngmf sgyķbgr, E1N mcnujng cbnuēu ifefnðrt eftbfm fmfbf sgyķbgr œombfjno f$gno onfbfr.

8osgbgkg ygkgng vo agtgbgrķ nòzobtkoborno sgēbgnķēķ mcbgybķmbgrg rgēkoj, tòkboyojfjfgbkgngmf iòébòmbor jonojfybo scj zgkgjbgrng jgnfroj mubbgjķbkgmtgnķr.

Ðrjom :> )?'+* sgyķsķjķ 5rtķ > mcnujg éovfrobfk.

  ? '  ; > ; > aor efr egsgkgēg > ombojfr,  & ++ eubujgj scjué ? eftbfm fmfbf sgyķyg éovrfbfr.

  *+++ +*++

Eubujgj sgyķbgr ygj ygjg ygzķbgrgm 5rtķ > mcnbu sgyķ obno onfbfr. Eujg iðro=

  )?'+*3)*++++*++;> 

oœftbfēf ygzķbgefbfr.

Ðrjom <> > $gzbgbķm mcnu fbo mcnbgjkķœ )+*+**++*;>  sgyķsķjķj cjbu sfstoknomf mgrœķbķēķjķ eubgbķk.

6gyķ nðrnor eftbfm irubgrg gyrķbķr vo aorefr irueuj mgrœķbķēķ cbgj cjbu sgyķ eubujur. Eufœbokborbo,

)+*+**++*;>  +*+* *++* 3 )+* :;>

sgyķbgrķ obno onfbfr. Eubujgj aorefr sgyķngj > éķmgrķbķrsg=

  +* :  % > % >

  &  >

)&>+*  sgyķsķ eubujur. Eu nurukng,

)+*+**++*;>3)&>+*

oœftbfēf ygzķbgefbfr.

0

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Mcnbgkg vo Mcnbgr 

5979 "#no $ Mcn

0#no mcnujng, aor cjbu sgyķ, féfjno kutbgmg fmf tgjo @+@ eubujgj 0 eftbfm fmfbf sgyķ fbo toksfbonfbfr. Eòtòj sgyķbgrng kutbgmg fmf tgjo @+@ eubujnuēujngj agtgbgrķj mcbgy(g eubujkgsķjķ

sgēbgr. 6gyķbgr fmfbf sfstokno f$gno onfbfrmoj egsgkgm noēorborf @& ? + *@ œombfjno sķrgbgjķr.)*+*  sgyķsķjķ 0#to mcnujng f$gno otkom féfj )++*** mckefjgsycju mubbgjķbķr. *%-grgsķjngmf sgyķbgrķj 0#to mcnujng f$gno onfbkosf fbo gebc >.#nomf noēorbor obno onfbfr.

+osfkgbXgyķ

"#to $ Mcnb Xgyķ

: 7 $ 5 3

* + + * * *

+ * * * + +

* * + * +

> * * + + *

? * + * * +

0 * + * + *

: * + + * *

& + * * * +

' + * * + *

- + * + * *

;g&bc 89$9 4jbu sgyķbgrķj 0#to mcnujngmf mgrœķbķmbgrķ.

Ðrjom 4 > ):+* sgyķsķjķj 0#no mcnujngmf mgrœķbķēķjķ eubgbķk.

Egsgkgm noēorborf &?+* cbnuēujngj vo kutbgmg fmf tgjo !+# eubujkgsķ ioromtfēfjnoj=

 ):+*  3 )*++** 0#to  

oœftbfēf eubujur.

Ðrjom 53> )*+*+*+*+**0#to   0#to mcnbgjkķœ sgyķjķj cjbu sfstoknomf mgrœķbķēķjķ eubgbķk.

8or efr egsgkgmtgmf sgyķ 0 eft fbo f$gno onfbnfēfjnoj, sgyķ 0 eftbfm irubgrg gyrķbķ aorefrirueuj mgrœķbķēķ cbgj cjbu sgyķ ygzķbķrsg=

)*+*+* +*+** 

0 -sgyķbgrķ eubujur. Eu nurukng,

)*+*+*+*+**0#to  3 )0-+* 

oœftbfēf ygzķbgefbfr.

"8

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Mcnbgkg vo Mcnbgr 

59"9 %œftbfm ,?grfty. Mcn

Hmfbf sgyķ sfstokfjno f$gno onfboj efbifjfj efr yornoj egœmg efr yoro tgœķjkgsķ nf<ftgbsfstokborno sķmég mgrœķbgœķbgj efr cbgynķr. Efbifjfj efr yornoj egœmg eðbioyo tgœķjkgsķ

sķrgsķjng, noēfœfm jonojbornoj ncbgyķ iòròbtò cbuœkgsķ vo cbuœgj iòròbtòjòj fbotfboj efbifyf eczkgsķ zgkgj zgkgj mgrœķbgœķbgj agnfsobornfr. Efbif fbotfkf sķrgsķjng eu œomfbno cbuœgjagtgbgrķ tosft otkom vo kòkmòjso nòzobtkom sgyķsgb sfstokborfj ðzobbfmborfjnojnfr.

8gtgbgrķ tosft otkono mubbgjķbgj oj ygyiķj vo oj mcbgy yðjtok oœftbfm eftf mcnbgkg )grfty(cno yðjtokfnfr. Eu yðjtokno, agtgbgrķj crtgyg éķmgrķbkgsķjķ sgēbgkgm gkg(ķybg E1Nmcnbu sgyķjķj sgēķjngmf voyg scbujngmf egsgkgēg (oœftbfm &ftf# )grfty eft ombojfr. œftbfm

 eftf, mcnbgjgj vorfno + ygng *#bgrķj tom kf, éf$t kf cbnuēuju eobfrtfr. Hmf tòrbò oœftbfm eftfyðjtokf eubujkgmtgnķr7 If$t oœftbfm )ovoj grfty vo tom oœftbfm )cnn grfty.

0f't oœftbfm yðjtokfjnoL oœftbfm eftfjfj noēorf, mcnbgjg(gm efbifnomf +#borfj tcbgk sgyķsķ)oœftbfm eftf ngafb éf$t cbg(gm œomfbno soéfbfr. Mcnbgjg(gm sgyķngmf +#borfj sgyķsķ tom fso,oœftbfm eftf cbgrgm !+# ombojfr. Mcnbgjg(gm efbifnomf +#borfj sgyķsķ éf$t cbkgsķ nurukujng fso,oœftbfm eftf cbgrgm !*# ombojfr.

Ðrjom 55> )+****++ sgyķsķjg éf$t oœftbfm eftf yðjtokfjo iðro oœftbfm eftf omboyobfk.

Mcnbgjg(gm efbifno )+****++ òé gnot !+# eubujnuēujngj, efbifnomf +#borfj sgyķsķjķ éf$tygkgm féfj oœftbfm eftf cbgrgm !+# ombojfr vo scjué cbgrgm=

  )5+****++

sgyķsķ cbuœur.

Ðrjom 5$> )+*****+ sgyķsķjķ éf$t oœftbfm yðjtokfjo iðro mcnbgygbķk.

Aorfboj sgyķng éf$t sgyķng !+# eubujnuēujngj, oœftbfm eftf cbgrgm !*# ombojfr vo mcnbgkg

fœbokf scju(ujng=!3+*****+#

 efbifsf cbuœur.

;om oœftbfm &ft yðjtokfL gyjķ kgjtķēg iðro nòzojbojfr. om $grm mcnbgjgj efbifnomf +#borfjsgyķsķ tom cbkgbķnķr.

Ðrjom 58>  )+*****+ sgyķsķjg tom oœftbfm eftf yðjtokfjf uyiubgygbķk.

!+*****+# sgyķsķjng éf$t sgyķng !+# eubujnuēujngj, oœftbfm eftf !+# cbur vo mcnbgœkķœ efbif=

!5+*****+#

noēorfjf gbķr.

0?

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Mcnbgkg vo Mcnbgr 

Ðrjom 57> )+****++ sgyķsķjg tom oœftbfm eftf omboyobfk.

Aorfboj sgyķng tom sgyķng !+# eubujnuēujngj, ombojo(om oœftbfm eftf !*# cbur vo scjuétg=

!3+****++#

sgyķ nfzfsf obno onfbfr.

œftbfm mcnujng ujutubkgkgsķ ioromoj jcmtg, éf$t voyg tom oœftbfm eftf yðjtokfjno ombojoj eftfj efbifjfj efr grégsķ cbnuēunur. Fcrkgbno & eft cbgrgm f$gno onfboj efbifbor, oœftbfm eftfjfjombojkosfybo ' eftbfm efbifbor agbfjo nðjòœòr. œftbfm mcnbgkg yðjtokfjfj gvgjtg<ķ, efbifjfjfbotfbkosf sķrgsķjng efr eftfj noēorfjfj noēfœkosf fatfkgbf cbgj yorborno agtgjķj gbķ(ķtgrg$ķjngj mcbgy(g tosft onfboefbkosfnfr.

59=9 Gfmoj Mcn

5fmoj mcnu= ? egsgkgmbķ vo egsgkgm noēorborfjfj !?+# œombfjno f$gno onfbnfēf efrmcnbgkg œombfnfr. 4jbu sfstokno 0#o mgngr cbgj sgyķbgrķ mcnbgkgm féfj sgē tgrg$tgmf

 egsgkgmbgr mubbgjķbķrmoj, 0#noj eòyòm noēorborf f$gno otkom féfj scb tgrg$tgmf eftbor tor(faonfbfr.

Eu mcnbgkg œombf sfkotrfm mcnbgkgyg efr ðrjomtfr. )*%? grgsķjngmf sgyķbgr féfj jcrkgb fmfbfsgyķbgr mubbgjķbķrmoj, )0%- grgsķjngmf sgyķbgr féfj egœbgjiķétgmf sgyķbgrķj sfkotrfēf mubbgjķbķr)gebc 0.>. 

Xgyķ Gfmoj Mcn

35$87

33333335335333553533

"=:<4

53555533553555535555

;g&bc 898 4jbu sgyķbgrķj 5fmoj mcnujngmf mgrœķbķmbgrķ

Ðrjom 5" >  )>+* vo )&+* sgyķbgrķjķ 5fmoj Mcnujg iðro mcnbgygbķk.

)>+* sgyķsķ !?+# egsgkgm noēorborf iðz ðjòjno eubujnurubgrgm ygzķbķrsg=

)> 3 )**++5fmoj 

""

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Mcnbgkg vo Mcnbgr 

noēorf obno onfbfr.

5yjķ œomfbno, )&+*  sgyķsķ egsgkgm noēorborf iðz ðjòjno eubujnurubgrgm ygzķbķrsg=

)&+* 3 )++*+5fmoj

oœftbfēf eubujur.

59:9Egr ,0&m. Mcn

4jbu sgyķbgrķj, $grmbķ œomfbno nòzojbojkfœ éueumbgrbg f$gno onfbnfēf mcnbgkg sfstokf &grmcn cbgrgm fsfkbojnfrfbfr. Egr mcnu= efr efrfk kgbķj òrotfbnfēf voyg gkegbg<bgjnķēķfœbotkoyf, kgbķj (fjsfjf vo ðzobbfmborfjf tgjķkbgkgm gkg(ķybg, ðj(onoj eobfrbojkfœ murgbbgrguyiuj éoœftbf mgbķjbķmbgrng efr nfzf nfmoy grgbob éfzifbor vo eu éfzifbor grgsķjng éoœftbfiojfœbfmto ecœbumbgrngj koyngjg ioboj efr mcnbgkg yðjtokfnfr. Nfēor efr noyfœbo,mgrgmtorborfj )rgmgk voyg agr$ $grmbķ mgbķjbķmtgmf éfzifbor vo ecœbumbgr fbo toksfb onfbnfēf

mcnbgkg sfstokf (&grmcn# cbgrgm gnbgjnķrķbķr.Hbm cbgrgm +->#no 8grDgrn jfvorsftosf#jno Bgbbg(o /bfjt tgrg$ķjngj yòròtòboj efr rc<onomubbgjķbgj egrmcn sfstokfjfj kcnorj gjbgkng fbm uyiubgkgsķ +-?' yķbķjng yokom sķrgsķjngmgsgngj ioéoj òròjborfj ctckgtfm cbgrgm cmujkgsķ fœbokf fbo ygķbnķ. Hbm uyiubgkgbrngmubbgjķbgj kòrommoefj nojiosfz cbkgsķ vo sfstokfj gagbķyg kgb cbkgsķ jonojf fbo euiòjmubbgjķbgj sfstoko eojzoyoj, sfyga zokfj òzorfjno ? eoygz éfzif féoroj vo eu éfzifborfj efrvoyg efrmgéķjķj cbkgkgsķ osgsķjg ngygjgj sfstok iobfœtfrfbnf. Eu sfstokfj iobfœtfrfbkosf fbo+-&> yķbķjng KJ1 )Kjfvorsgb Jrcnu(t 1cnfji sfstokf iobfœtfrfbnf vo +-&? yķbķjng 4afc#ng

 efr kgrmotto mubbgjķbkgyg egœbgjnķ. Hbm egrmcnbu òròj fso Brfiboy#s éfmbotborf fnf.

Mbgvyo#yo gbtorjgtf$ cbgrgm mubbgjķbgj egr mcnu yðjtokf= vorf ifrfœ G éķmķœķjķj mcbgy cbkgsķ,

mubbgjķbnķēķ sfstokborno vorfkbfbfēf grtķrkgsķ, stgjngrnfzgsycj sgēbgkgsķ, ve. jonojborboðzobbfmbo stcmbgkg fœbokborfjno vo kgrmotborno ygyiķj cbgrgm mubbgjķbkgmtgnķr.

6gyķsgb vo gb$gsgyķsgb efr nfzfjfj éfzif voyg ecœbumbgrngj cbuœgj efr mcnbgkg yðjtokf fbof$gno onfbkosf cbgrgm tgjķkbgygefbo(oēfkfz egrmcn sfstokf cmujnuēujng ygbjķz(g fbifbfmgrgmtor nfzfsf efbifsgygrg iðjnorfbfr. Mgrgmtorborf toksfb otkom féfj mubbgjķbgj éfzifborfjuyiuj grgébgrbg cmuju éðzòkbojkosf vo efbifsgygrg gmtgrķbkgsķ féfj éoœftbf egrmcnyðjtokborf vo egrmcnbgrķ cmuyg(gm $grmbķ tomjcbc<fbor eubujkgmtgnķr. Egrmcn fbo fbifbftomjcbc<fborf G yðjtokborf efr stgjngrt cbgrgm crtgyg mcykgm gkg(ķybg cjfmf 5vrug òbmosfjfjmgtķbķkķ fbo !5vrug "gb Fukgrgbgjnķrkg Efrbfēf# )urcogj 5rtf(bo Fukeorfji 5ssc(fgtfcj% 5F murubkuœtur. òrmfyo#jfjno òyo cbnuēu )mcn jukgrgsķ ':- cbgrgm efrbfēfjòrmfyo#nomf toksfb(fsf òrmfyo 4ngbgr vo Ecrsgbgr Efrbfēf#nfr. 5vrug#ng eubujgj

5F fbo 5korfmg#ng eubujgj K11 ðriòtòjòj efrbfmto iobfœtfrnfēf 5F%K11 sfstokf,

0:

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Mcnbgkg vo Mcnbgr 

ovrojsob G Kbusbgrgrgsķ stgjngrtbgr iobfœtfroj efr !efbif stgjngrnķ tgjķkbgkg vo uyiubgkg#sfstokfnfr.

omfb 895 Egrmcn#uj iojob ygķsķ

Egrmcnuj féoro(oēf vorfjfj egrmcn#tg jgsķb yor gbg(gēķjķ tgjķkbgygj murgbbgrg, !egrmcn

stgjngrnķ# gnķ vorfbfr. Comfb >.+#no ðrjom efr egrmcn sfstokfjfj G stgjngrnķjķj ygķsķiðròbkomtonfr. Comfb >.+#no iojob ygķsķ vorfboj egrmcn#ng eubujgj eðbioborfj toksfb ottfmborfgjbgkbgr gœgēķngmf œomfbno ðzotbojoefbfr.

Egœbgjiķé H Eftfœ Mgrgmtorborf> Egrmcn#uj fmf ygjķjķ )egœķjķ vo scjuju tgjķkbgygj vo ðzob efr éueum G ecœbum ifef ðzob mgrgmtorbornfr. /grmbķ egrmcn éoœftborf $grmbķ egœbgjiķé vo eftfœmgrgmtorborf mubbgjķr.

Mcjtrcb Mgrgmtorborf> Efr mcnng eubujgj noēorbornoj obno onfboj vo egrmcn féorfsfjoyorboœtfrfboj noēornfr. Mcjtrcb mgrgmtorf, mcnuj ncēru cbgrgm éðzòkbojf%éðzòkbojkonfēfjfjmcjtrcbò féfj mubbgjķbķr. /grmbķ egrmcn éoœftborf, $grmbķ mcjtrcb mgrgmtorborf aosgbgkgyðjtokborf mubbgjķbķr. Mcjtrcb mgrgmtorfjfj fstoēo egēbķ cbgrgm mubbgjķbnķēķ egrmcnyðjtokborfjfj ygjķjng mcjtrcb mgrgmtorfjfj zcrujbu cbgrgm mubbgjķbnķēķ yðjtokborno

 eubujkgmtgnķr.

Ecœ Eðbiobor> Egrmcn#uj egœbgjiķé vo eftfœfjno eubujkgsķ iorombf ecœ gbgjbgrnķr.

Mgrgmtorborf f$gno onoj éueum mckefjgsycjbgrķjķj cbuœturubkgsķjng fmf $grmbķ yðjtok vgrnķr7Hmf sovfyobf mcn vo écm sovfyobf mcn.

1mf sovfyobf &gr mcnbgkg sfstokfjno= iojfœ éueum voyg grgbķm )ecœbum efjgry @+@ noēorfjf,ngr éueum voyg grgbķm @*@ noēorfjf f$gno onor. Ngr vo iojfœ éueumbgrķ G ecœbumbgrķ f$gno otkomféfj mubbgjķbgj ygyiķj stgjngrt= *,+- kk vo *,>' kk iojfœbfēfnfr. Eu œomfbno iðstorfkfjmubbgjķbnķēķ éoœftbf egr mcn yðjtokborf eubujkgmtgnķr. Hmf sovfyobf mcnbgrg ðrjom cbgrgm= >-

 egr mcnu, 0 egr mcnu vo 8J?+1 egr mcnu cbgrgm fsfkbojnfrfboj yðjtokbor vorfboefbfr.

":

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Mcnbgkg vo Mcnbgr 

84 &gr mcn, -#ng > mcnu cbgrgm tgjķkbgjķr vo - tgjo éueum voyg grgbķēķ féorfr. - éueum voyggrgbķmtgj > tgjosf iojfœtfr.

Ðrjom 5=> Comfb >.+#no iðstorfboj mckefjgsycj >- egr mcnujg efr ðrjomtfr. Eu ðrjomto

tcbgk - éueum G grgbķm eubujkgmtgnķr. Eujbgrngj +. vo '. sķrgbgrngmf éueumbgr fbo >.sķrgngmf grgbķm bc<fm !+# noēorfjf, nfēor éueum vo grgbķmbgr !*# noēorborfjf toksfb otkomtonfr.

  + * + * * * * + *

omfb 89$9  >- Egr mcnujg ðrjom iðstorfk.

$" Egr mcn cbgrgm fsfkbojnfrfboj mcn, 0#to mcnujuj éueumbgrbg f$gno onfboj œombfnfr. Eumcnng efbifbor ygbjķz(g éueumbgrbg f$gno onfbfr, grgbķmbgr efr gjbgk féorkoz. 8or efbif 0 éueum

fbo cbuœturubur vo eujbgrngj ygbjķz(g tgjosf iojfœtfr. Hj(o éueumbgr @*@, mgbķj éueumbgr @+@gjbgkķjg iobfr.

Ðrjom 5:> 4jbu sfstoknomf !*# vo !:# noēorborfjf 0 egr mcnu fbo iðstorobfk.

nfzfsf @*@ noēorfjf toksfb onormoj ,

 nfzfsf cjbu @:@ noēorfjf toksfb onor.

omfb 8989 4jbu sgyķ sfstokfjnomf !*# vo !:# noēorborfjfj 0 egr mcnu fbo iðstorfbkosf.

8J?+1 mcnu, ygbjķz(g éueumbgrķj gjbgk féornfēf nfēor efr éueum mcnbgkg yðjtokfnfr. Euyðjtokno no ngr éueumbgr !*# noēorfjf toksfb onormoj, iojfœ éueumbgr !+# noēorfjf toksfbonorbor.

0cm sovfyobf mcnbgr ir& cbgrgm fsfkbojnfrfboj fmfj(f éueum mcnbgkg sfstokfjno iojobbfmbo? sovfyobf sgyķsgb mcnbgr mubbgjķbķr. Eu sfstokno éueum;grgbķmbgr & mgrgmtor uzujbuēujngnķrvo aor efbifjfj toksfbfjno kutbgmg éueum, grgbķm eubujkgbķnķr. Mcn -> vo Mcn +' cbgrgmfsfkbojnfrfboj mcnbgr, ? sovfyobf egr mcnbgrnķr. Comfb >.?#no cjbu sgyķbgrķj ? sovfyobf mcnbgf$gno onfbkosfjo ðrjombor iðròbkomtonfr.

2òjòkòzno omécm egrmcn stgjngrnķ eubujkgsķjg rgēkoj efrfk gkegbg<bgrķ òzorfjno 5F%+>, tcbu òròj stcmbgkgng fso \/%+? gnķ vorfboj stgjngrtbgr mubbgjķbkgmtgnķr. 5F vo K11

tgrg$ķjngj $grmbķ fatfygébgrg (ovg vorkosf gkg(ķybg 5F%+>, 5F', KJ1%5, KJ1%,

0'

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Mcnbgkg vo Mcnbgr 

5FGK11 +? )\/ +?, 6611%+', 5F+' stgjngrtbgrķ mubbgjķbkgmtgnķr. 5yrķ(g, gēķrbķēķjgiðro $fygtķ noēfœoj òròjbor féfj )kgrmotbornomf kgjgv roycju ifef gērbķmbķ òròj egrmcnu )'fbo egœbgr stgjngrnķ iobfœtfrfbkfœtfr. /grmbķ mcnbgkg éoœftborf féorfsfjnoj òbmokfzno ygyiķjcbgrgm mubbgjķbgj, efrefrfjo grgbob éfzifbor vo éfzifbor grgsķjng eubujgj éoœftbf iojfœbfmtomf

 ecœbumbgrngj cbuœgj 5F%+> mcnbgkg stgjngrnķnķr )Comfb >.0. !+> egsgkgmbķ mcnbgkgsfstokf# cbgrgm ng fsfkbojnfrfboj eu mcnbgkg sfstokfjf mubbgjkgm féfj òrmfyo 4ngbgr voEcrsgbgr Efrbfēfjnoj )4EE fzfj gbkgm ioromfr.

omfb 8979 4jbu sgyķbgrķj écm sovfyobf mcnbgrbg iðstorfkf.

+> egsgkgmbķ mcnbgkg sfstokfjno fbm fmf voyg òé egsgkgm òbmo mcnu cbgrgm mubbgjķbķr. bmomcnu 5F tgrg$ķjngj eobfrbojfr. bmokfzno +> egsgkgmbķ G agjobf mcnuj fbm > egsgkgēķ òbmomcnuju toksfb otkom féfj mubbgjķbkgmtgnķr vo òbmokfzfj mcnu ':-#nur. Hjifbtoro#jfj mcnu0*, Hsgjyg#jķj ?0, 9ujgjfstgj#ķj 0*, 5bkgjyg#jķj ?**%??* vo 8cbbgjng#jķj '&#nfr.

bmo mcnuju tgmf onoj ?%: egsgkgm òrotf(f voyg sgtķ(ķ $frkg mcnuju f$gno onor. bmokfzno$frkg mcnu ? egsgkgm cbgrgm mubbgjķbkgmtgnķr.

/frkg mcnuju tgmf onoj oj scjngmf >%0 egsgkgm fso òròj G kgkòb mcnu cbgrgm mubbgjķbķr)$frkgjķj ðzobbfēfjo iðro noēfœfr. bmokfzno òròj mcnu cbgrgm 0 egsgkgm mubbgjķbkgmtgnķr.ròjò tgjķkbgygj noēor òrotf(f $frkg tgrg$ķjngj gtgjķr.

Eu nurukng $frkg òròj mcnu cbgrgm ?%+ egsgkgmbgr grgsķjngmf noēorbor mubbgjķbķr. +>. egsgkgmtgmf sgyķ mcjtrcb féfj mubbgjķbķr vo - agjobf $frkg%òròj mcnujngj òrotfboj sgyķ fbo +>. egsgkgmtgmf sgyķ mgrœķbgœtķrķbgrgm mcjtrcb fœbokf ioréomboœtfrfbfr. Mftgbgrng 5F%+>stgjngrnķ mubbgjķbkgsķ nurukujng mcn féorfsfjno \6EF noēorfjfj eubujkgsķ ioromfr )mòbtòr

 egmgjbķēķjngj gbķjgj vo eu jonojbo mftgbgrngmf egrmcn stgjngrnķ $grmbķbķm iðstorfr.

Xgyķ Efjgry Mgrœķbķ2ķ Ðrjom Mcnbgkg

*

+

-

 egœbgGeftfr 

> + +

+

> + +

  + + +

Nct> Egr mcnbgkgng vorfbojðrjombor, gjbgkgyķ mcbgybgœtķrkgmgkg(ķybg gsftboœtfrfbkfœtfr. Eujonojbo iðstorfboj ðrjombor ioréomnuruku toksfb otkoyoefbfr.

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Mcnbgkg vo Mcnbgr 

Kbusbgrgrgsķ stgjngrn mftg jukgrgsķ -&'#nfr. Eu jonojbo mftgbgrngmf egrmcnbgr -&' fbo egœbgr )orfycnfm ygyķjbgr -&& vo kòzfm òròjborf -&- fbo egœbgr.

OOO OOOO OOOOO O

Òbmo mcn @frkg mcn Òrj mcn Mcjtrcb mcn

  ,8 &gsgkgm. ,7 &gsgkgm. ," &gsgkgm. ,5 &gsgkgm.

omfb 89"9 5F+> mcnbgkg tomjfēfjfj mubbgjķkķ.

Egrmcn cmukg fœbokfjno, Comfb >.:#ng rojsf œokgsķ éfzfboj fœbokbor ioréomboœtfrfbfr.Egrmcnbu efbifbor, ķœķmbķ mgbok voyg sgeft ķœķm òstò (gk œombfjnomf egrmcn cmuyu(u fbocmujur. Efr egrmcn tgrgjnķēķjng, mcnng eubujgj éfzifbor vo ecœbumbgr obomtrfm sfjygbborfjonðjòœtòròbòrbor. Ifzifborfj obomtrfmsob cbgrgm *A#g, ecœbumbgrķj 0A#g mgrœķbķm iobnfēf egrmcnsfstokfjno Comfb >.0#nomf noēorbor obno onfbfr. bno onfboj sfjygbfj efbifsgygr tgrg$ķjngjgjbgœķbgefbo(om sgyķsgb noēorboro nðjòœtòròbkosf ioromfr. Eu nðjòœòk fœbokf murgbbgrķðj(onoj eobfrbojoj efr mcn éðzò(ò fbo ygķbķr. Mcnu éðzòboj efbifyo mgrœķbķm ioboj $fygt voòròj efbifsf efbifsgygr G mgsg eobboēfjnoj cmujur vo omrgjg ygjsķtķbķr. 

omfb 89=9 Egrmcn cmukg fœbokfjfj ebcm œokgsķ vo Egrmcn#uj obomtrfmsob fœgroto éovrfbkosf

Egrmcnuj sgaf cbnuēu noēorbor, iojobbfmbo egrmcnuj gbtķjg ygzķbķr vo egrmcnuj aoragjif efrjonojbo cmujgkgkgsķ nurukujng egrmcnuj noēorfjfj ob fbo efbifsgygrg ifrfboefbkosfjofkmgj tgjķkgm féfj mubbgjķbķr.

6gyķsgb mcnbgr cbgrgm f$gno onfboj vo E1N mcnbgrķjg ðrjom cbgrgm iðstorfboj mcnbgkg

Egrmcn

6gyķsgb Hœgrot

EgrmcnbuEfbif

CptfmCmuyuhu

  Efbifsgygr   Mcnu

Éðzòbkòœ

:*

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Mcnbgkg vo Mcnbgr 

yðjtokborfjf )egr mcnu agrfé efr grgng f$gno onorsom gebc >.0 obno onfbfr.

E)+ M6+BG 

   6  j   b  

   +  o   2  o  r

   E  g  s  g  k  g   m   +  o   2  o  r   f

E1NMcnu

2rgyMcnu

5rtķ >Mcnu

0#no Mcnu

om grftyMcnu

If$t grftyMcnu

5fmoj mcnu

<7$5 Egsgkgmnoēorf ycm 

<7$5 :7$53 Jgrfty eft<7$5

Jgrfty eft

<7$5$7$5

< <<<< <<<< <<77 77<<< 7 <<<< < <<<< <<<<

7 <<<7 <<<7 <7<< <<<77 < <<<7 7 <<<7 <<<7

5 <<7< <<77 <7<7 <<7<7 < <<7< 7 <<7< <<7<

8 <<77 <<7< <77< <<77< 7 <<77 < <<77 <<77

> <7<< <77< <777 <7<<7 < <7<< 7 <7<< <7<<

? <7<7 <777 7<<< <7<7< 7 <7<7 < <7<7 7<77

0 <77< <7<7 7<<7 <77<< 7 <77< < <77< 77<<

9 <777 <7<< 7<7< 7<<<7 < <777 7 <777 77<7

1 7<<< 77<< 7<77 7<<7< < 7<<< 7 7<<< 777<

6 7<<7 77<7 77<< 7<7<< 7 7<<7 < 7<<7 7777

=5

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  Mcnbgkg vo Mcnbgr 

;g&bc 8979 6gyķsgb mcnbgkg sfstokborfjno cjbu sgyķbgrķj iðstorfbkosf.

$9 Gb'g Xgyķsgb Mcnbgr

Efbifsgygrbgrng sgyķbgrbg efrbfmto gb$geonomf agr$bor, jcmtgbgkg fœgrotborf vo nfēor ðzobmgrgmtorbor mubbgjķbkgmtgnķr. òk eu efbifborf mcnbgkgm féfj mubbgjķbgj yðjtokbor,(Gb'gsgyķsgb mcnbgkg yðjtokborf# cbgrgm fsfkbojnfrfbfr.

5b$gsgyķsgb mcnbgr= tòk eòyòm vo mòéòm agr$borf, & tgjo jcmtgbgkg fœgrotfjf, *#ngj -#g mgngr+* sgyķyķ vo ;, G, W, U, X, ve. mgrgmtorborf féorfr. 9gyiķj cbgrgm mubbgjķbgj fmf tòrbò gb$gsgyķsgbmcnbgkg yðjtokf eubujkgmtgnķr7 561\\ )5korfmgj 6tgjngrt 1cno /cr \j$crkgtfcj\jtor(agj(o vo E1N\1 )^tojnon E1N \jtor(agj(o 1cno mcnbgrķ. Eu mcnbgrngj ngagygyiķj cbgrgm mubbgjķbgj 561\\ mcnunur.

$959 GX)** mcn

GX)** mcnL  & eftbfm efr mcnnur )'. eft egzķ mgrgmtorborfj mcjtrcbò féfj mubbgjķbķr vo&  3 +' efbifyf mcnbgkg mggsftosfjo sgaftfr. Eu mggsfto rgmgk vo agr$borbo efrbfmto

 efbifsgygrng mubbgjķbgj jtor, _fjo$oon, ve. fœbokborf f$gno otkom féfjno yotorbfnfr. gebc>.0#no mubbgjķbgj egzķ efbifborfj 561\\ mcnbgkg yðjtokfjno vo cjgbtķbķ sfstokno mcnbgjkķœmgrœķbķmbgrķ iðròbkomtonfr. Hmfbf sgyķ $crkujngmf 561\\ mcnbu efr sgyķjķj gjbgkķjķ eubkgmféfj, fmfbf sgyķjķj mgrœķbķēķ cbgj cjgbtķbķ sgyķ eubujur. 4jgbtķbķ sgyķjķj f$gno ottfēf mgrgmtortosft onfbfrso mcnbgjkķœ sgyķ gjbgkbķ agbo iobfr.

:

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  Mcnbgkg vo Mcnbgr 

Mgrgmtor :/EftGX)**

XomfAbf 6jgbtķbķ Mgrgmtor :/EftGX)**

XomfAbf 6jgbtķbķ

5E1

N/28\PM_

" F4JY

O

6KABQ

+** ***++** **+*+** **++

+** *+**+** *+*++** *++*+** *++++** +***+** +**++** +*+*+** +*+++** ++**

+** ++*++** +++*+** +++++*+ ****+*+ ***++*+ **+*

 +*+ **+++*+ *+**+*+ *+*++*+ *++*+*+ *+++

+*+ +***

+*++*+*>

+*?+*0+*:+*&++*+++++++>++?

++0++:++&+*+++

+>+?+0+:+&+>*

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*++ ***+*++ **+**++ **++

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*+* *****+* +++**+* +***

*+* +*++*+* *+***+* +*+*

 *+* +**+*+* ++*+*+* ++++*+* ++***++ ++*+*** ++*+*** +*+*

+>++>*:*

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*:?*:0*::*:&*&**&+

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Mcnbgkg vo Mcnbgr 

;g&bc 89"9 561\\ mcnbu mgrgmtorborfj iðstorfbfœf

Ðrjom 5< > Hmfbf sgyķ sfstokfjnomf gœgēķngmf kosg< 561\\ mcnujng mcnbgjkķœtķr. Eu kosg<ķj

gjbgkķ jonfr]

+**+*** +***+*+ +**++* +*+****

8or & eftbfm mcnuj cjgbtķbķ sfstoknomf mgrœķbķēķ eubuju ygzķbķrsg,

?' ?0 ?1 0*

noēorborf obno onfbfr. Eu noēorborfj toksfb ottfmborf efbifbor tgebcngj eubuju ombojfrso=

 ?'38, ?03, ?13_, 0*3J

oœftbfmborf eubujur vo scjué cbgrgm, 8_J efbifsfjo ubgœķbķr.

 Ðrjom 54> !E56\1# rcibgkbgkg nfbfjno rcirgk ygzgj efr rcirgk(ķ !FQ# ecœbum !\#ygzkķœ cbsuj. Eu nurukng 561\\ mcnujng eobbomto sgmbgjg(gm efbif jonfr]

8or efr mgrgmtorfj 561\\ mcnujng mgrœķbķēķ eubujur. 4jgbtķbķ sfstokno f$gno onfboj noēorborfjfmfbf sfstoknomf mgrœķbķēķ ygzķbķrsg, rcirgk(ķjķj ifrnfēf mgrgmtorborfj mgrœķbķēķ cbgj fmfbfsgyķbgr eubujur.

Mgrgmtor 6jgbtķbķ 1mfbf

N 7% 3533 3553

% 7" 3533 3535

O "< 3535 5333

; "7 3535 3533X g-o $3 3353 3333

* 74 3533 5335

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Mcnbgkg vo Mcnbgr 

Ðrjom $3>  (+*I*;GB#  mobfkosfjfj obno onfboefbkosf féfj ygzķbkgsķ iorombf 561\\ mcnbu

 efbifyf ygzgbķk.8or efr mgrgmtorfj mgrœķbķēķ cbgj efbifborfj ygzķbkgsķ fbo=

+ D 533 3533 * D 533 5335I D 533 3555 * D 533 5335; D 533 3533G D 533 3335B D 533 5533

 efbifborf obno onfbfr. 

$9$9 %E)+*) Mcn

\E" tgrg$ķjngj iobfœtfrfboj gj(gm nfēor òrotf(fbor tgrg$ķjngj eojfksojkonfēf féfj ygyiķjcbgrgm mubbgjķbkgygj E1N\1 mcnu, ' eftbfm gb$gsgyķsgb efr mcnbgkg sfstokfnfr. 8or efr

 efbifjfj $grmbķ œomfbno cjgbtķbķ vo fmfbf sfstokno toksfb onfbnfēf eu mcnbgkg sfstokfjno,mgrgmtorborfj oœftbfmborf gebc >.:#ng tcbu cbgrgm iðròbkomtonfr. Eu mcnbgkg sfstokfjno,

 efbifborfj mcnbgjkgsķjng mubbgjķbgj kgjtķm 561\\ mcnujuj gyjķsķnķr.

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Mcnbgkg vo Mcnbgr 

Mgrgmtor 6jgbtķbķ;g&gjng

1mfbf;g&gjng

Mgrgmtor 6jgbtķbķ;g&gjng

  1mfbf  ;g&gjng

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Mcnbgkg vo Mcnbgr 

;g&bc 89=9 E1N\1 mcnujng efbifborfj mcnbgjkgsķ.

;omrgrbgkg vo 0gbķœkg Xcrbgrķ

+. Mcnbgkgyķ tgrf$ onfjfz.

. Mcnbgkg éoœftborf oj iojob œomfbno mgé irueg gyrķbgefbfr]

>. Mcnbgkg fœbokfjfj òstòjbòmborfjf sķrgbgyķjķz.

?. 6gyķsgb mcnbgrķ tgjķkbgyķjķz.

0. 6gyķsgb mcnbgrķj ygyiķj cbgrgm mubbgjķbgjbgrķjķ sķrgbgyķjķz.

:. E1N mcnuju tgjķkbgyķjķz.

&. )>?:+* vo )?++* sgyķbgrķjķ E1N mcnbu cbgrgm f$gno onfjfz.

'. )+**+*+*+*++*E1N  vo )*++*+*****++E1N  sgyķbgrķjķj cjbu sfstoknomf mgrœķbķmbgrķjķ eubujuz.

-. 2rgy mcnu tgjķkbgygrgm, 2rgy mcnuj mubbgjķbnķēķ yorborf géķmbgyķjķz.

+*. )+**+**++** vo )+++*****++ sgyķbgrķjķ 2rgy mcnujg éovfrfjfz.

++. )+*+++*2rgy vo )+*+++*++2rgy  2rgy mcnbu sgyķbgrķ fmfbf sfstoko éovfrfjfz.

=:

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Mcnbgkg vo Mcnbgr 

+. )&+*3)];> vo )**++*+++;>3)]+* nðjòœòkborfjf ygķjķz.

+>. 0#to mcnujuj òstòjbòēò jonfr]

+?. )-+* vo )++* sgyķbgrķjķj 0#to mcnujngmf mgrœķbķmbgrķjķ ygzķjķz.

+0. )+*+** **++*0#to  vo )+**+* ++*** 0#to   sgyķbgrķjķj cjbu sgyķ sfstokfjnomf mgrœķbķmbgrķjķ eubujuz.

+:. œftbfm eftfjf tgjķkbgygrgm, oœftbfm eftf éoœftborfjf ygzķjķz.

+&. œftbfm eftfjfj mubbgjķbnķēķ yorborf vo $gyngbgrķjķ sķrgbgyķjķz.

+'. )+*+++** vo )*+++*** sgyķbgrķjg éf$t oœftbfm yðjtokfjo iðro oœftbfm eftf omboyfjfz.

+-. )+*+++** vo )*+++*** sgyķbgrķjg tom oœftbfm yðjtokfjo iðro oœftbfm eftf omboyfjfz.

*. Egr mcnuju tgrf$ onfjfz. Egr mcnbgrķj cbuœturubkgsķjng mubbgjķbgj yðjtokborf ðzotboyfjfz.

+. >- vo +' egr mcnbgrķjķ mgrœķbgœtķrķjķz.

. 5b$gsgyķsgb mcnbgrķ ðzotboyfjfz.

>. 561\\ vo E1N\1 mcnbgrķ grgsķjngmf $grmbgrķ ðzotboyfjfz.

?. +*+**++ +**++++ +**+++* fmfbf sfstoknomf sgyķbgrbg f$gno onfboj vo 561\\ mcnbgjkķœ efbif agjif mobfkoyf toksfb otkomtonfr]

0. !E5C_5# efbifsfjfj efbifsgygrg ifrfbkosf fbo cbuœgj 561\\ mcnbu sgyķ nfzfsfjf eubujuz.

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Eccbogj Murgbbgrķ vo

Bcdfm ļ`gnoborfjXgnoboœtfrfbkosf

(Eccbogj Gbioerg gjn BcifhXfkpbf`fhgtfcj)

EÐBÒK

>

Gkgébgr 

Bcdfm sfstokborfj tokobf cbgrgm ‑ Eccborcj Kgtokgtfēfjf‖ tgjķtkgm

‑Eccborcj Murgbbgrķjķ‖ géķmbgkgm

‑Eccborcj Murgbgrķjķj‖ sgnoboœtfrko gkghķybg mubbgjķkķjķ iðstorkom 

 

Ncērubum ̂ gbcbgrķjķ‖ géķmbgkgm !o "grmbķ noēfœmojbf ncērubum tgbcbgrķjķ iðstorkom 

 

‑#ojj Nfygirgkķ‖ yðjtokfjf tgjķtkgm 

 

‑^okob $éķjķkbgr !o %tgjngrt &"gnobor‖ mg!rgkbgrķjķ géķmbgkgm 

 

'gr(ķkbgrķj tc(bgkķ )kfjftorkborfj égr(ķkķ* fœbokfjf tgjķtkgm 

  Kfjtork !o kgmstorfk f"gnoborfj frfrfjo nðj+œt+r+bkosf fœbokborfjf ðērotkom 

  Bcdfm fœbokborf tgjķtkgm 

Egœbķmbgr

  ,jokbf Eccbogj Murgbbgrķ

  Eccbogj Murgbbgrķjķ Mubbgjgrgm &œbokborfj %gnoboœtfrfbkosf

Ncērubum ̂ gbcsu

  #-.. Nfygirgkķ

  ^okob $éķbķkbgr !o %tgjngrt &"gnobor

Kfjtorkborfj ̂ c(bgkķ !o Kg/torkborfj 'gr(ķkķ &"gnoborfjfj <rotfbkosf

  Kg/tork !o Kfjtork &"gnoborfj Efrfrborfjo Nðj+œt+r+bkosf

Bcdfm &œbokbor 

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  Eccbogj Murgbbgrķ #o Bcdfm &"gnoborfj %gnoboœtfrfbkosf75

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Eccbogj Murgbbgrķ #o Bcdfm &"gnoborfj %gnoboœtfrfbkosf

Ifrfœ

%gyķsgb obomtrcjfēfj tokobf 8f(cto>o ngygjkgmtgnķr? ‑Ncēru‖ !oyg ‑0gjbķœ‖ cbnuēumcjusujng mgrgr !orfbofboj "fmfrbor ‑afpctoz‖  cbgrgm tgjķkbgjķr? 9f(cto> gyjķ gjng 8okncēru1 8ok ygjbķœ cbgkg>1 ygbjķ>hg ‑ncēru‖ !oyg ygbjķ>hg ‑ygjbķœ‖ cbgrgmnoēorbojnfrfbofbfrbor?

,rjoēfj6‑%u 44=‖jfj gbtķjng ncjgr‖‑2+joœ n+jyg otrg"ķjng nðjor‖

"fmfrborfjnoj frfjhfsf ‑ncēru‖1 fmfjhfsf fso ‑ygjbķœ‖ cbgrgm noēorbojnfrfbofbfr !o u jonojbo u "fmfrbor 8f(cto> cbgrgm mgub onfbfr?

‑%gēbķmsķ> osbojoj fjsgjbgr 8gstgbgjķrbgr‖ "fmrfjno6 fjsgjbgrķj 8gstgbgjkgbgrķjg tom otmojsgēbķmsķ> osbojko cbkgnķēķjngj )iojotfm1 éo!ro œgrtbgrķ1 !?* "fmrfj 8f(cto> cbgrgmnoēorbojnfrfbkosf k+km+j noēfbnfr? ‑Ncēru‖ !oyg ‑ygjbķœ‖ cbgrgm tgjķkbgjgkgygj "fmfrbor8f(cto> cbgrgm tgjķkbgjkg> !o "fmfr cbgrgm f"gno onfbfrbor?

9f(cto> cbgrgm f"gno onfboj "fmfrbor gsft !oyg mgrkgœķm cbgfbfr? Ng8g gsft 8f(cto>boro (grégbgjgkgygj 8f(cto> ‑egsft afpctoz‖1 gsft 8f(cto>bornoj cbuœturubkuœ 8f(cto> fso‑mgrkgœķm afpctoz‖ cbgrgm fsfkbojnfrfbfr?

Egsft !oyg mgrkgœķm 8f(cto>borfj kgtokgtfmsob f"gnobor œombfjno f"gno onfbkosf fbo ‑EccbogjKgtokgtfēfjfj‖ tokobf cbuœur? Eccbogj murgbbgrķ !oyg Eccbogj kgtokgtfēf cbgrgmfsfkbojnfrfboj kgtokgtfēfj tokobf1 $rfstctbo‖jfj kgjtķēķjķj kgtokgtfmsob jctgsycjbgrguyiubgjkgsķ scjuhu gtķbnķ? Kgtokgtfméf 2ocrio Eccbo );5;:3;57L* tgrg"ķjngj ;5:L yķbķjngcrtgyg gtķbgj "fmfrborfj Gocjc1 8fto8ogn1 Eortrgjn Hussobb !o nfēor kgtokgtfméfbortgrg"ķjngj iobfœtfrfbkosf fbo1 sgyķsgb obomtrcjfēfj cbuœukuju sgēbgygj Eccbogj kgtokgtfēfiobfœtfrfbnf?

Eccbogj kgtokgtfēfjfj iobfœfk s+rohf féorfsfjno1 mubbgjķbgj jctgsycj !o sokcbbornonoēfœfkbor cbuœtu !o Eccbogj kgtokgtfēfjf cbuœturgj murgbbgr )(cstubgtos*1 -?#? 9ujtfjitcjtgrg"ķjngj ;4L yķbķjng gsķbnķ? Obuœturubgj murgbbgrķj =bguno -? %8gjjcj tgrg"ķjngjobomtrcjfm obokgjbgrg uyiubgjkgsķ scjuhu1 Eccbogj murgbbgrķjķj gjg8tgrbgkgbķ sfstokborno

mubbgjķbgfbohoēf géķmbgjnķ );@5*?

06

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Eccbogj Murgbbgrķ #o Bcdfm &"gnoborfj %gnoboœtfrfbkosf

$# &okob Ðzobbfmbor ' 

Eccbogj horfjnomf tokob ð>obbfmbor otmfsf> obokgj1 frfk obokgj1 yutgj obokgj1 torsobokgj œombfjno sķrgbgjgfbfr?

$g ' &cpbgkg(g tmfsfz bokg *+) '

 

 G 

 G 

$e ' ,grpkg(g tmfsfz bokg *$) '

 G   G 

$- ' &cpbgkg(g Efrfk bokg ' 

 G 

$( ' ,grpkg(g .!tg obokg' 

 G  < < 

$o ' &ors obokg ' 

Efr noēfœmoj ‑4‖ fso noēfbf )grķ1 torsf !?* ‑;‖1 noēfœmoj ‑;‖ fso noēfbf ‑4‖ cbgrgm gbķjķr? Efrnoēfœmojfj noēfbf1 noēfœmoj +>orfjo mcjgj éf>if !oyg mosko fœgrotf fbo obfrtfbfr?

  $ \ 4 \W $U \ ; 1 $ \ ; \W $U \ 4

 Efr noēfœmojfj noēfbfjfj noēfbf )torsfjfj torsf* mojnfsfjo oœfttfr

)$UU \$*?

/$

$ ? 4 \ 4

  4 ? 4 \ 4; ? 4 \ 4 

$ ? ; \ $  4 ? ; \ 4

  ; ? ; \ ;

  $ X ; \ ;  4 X ; \ ;  ; X ; \ ;

  $ X 4 \ $  4 X 4 \ 4  ; X 4 \ ;

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  Eccbogj Murgbbgrķ #o Bcdfm &"gnoborfj %gnoboœtfrfbkosf

$< ' &cpbgkg 7o ,grpkg 5œbokborf '

Eccbogj kgtokgtfēfjno1 ‑#-0$‖ fœbokf tc(bgkg )X* !o ‑#-‖ fœbokf égr(kg )?* fœbokborfjomgrœķbķm iobfr? Eccbogj kgtokgtfēfjno ioéorbf cbgj tc(bgkg !o égr(kg fœbokborf gœgēķngmf

œomfbno ð>otbojofbfr?

 

 G 

 G‖

$  G‖  < 

 G 

 G 

$

$  G   G 

8 ?geft m!77otbfbfm 'Eccbogj kgtokgtfēfjno jcrkgb grftkotfm fœbokbornomf tc(bgkg !o égr(kg fœbokborfjnoj"grmbķ cbgrgm mubbgjķbgj murgbbgrngj frfsf6 sgft mu!!otbfbfmtfr?

  g* $ X $ \ $ )$X$X$X????????X$ \ $ * 1 * $ ? $ \ $ )$?$?$?$???????????$ \ $ *

9o1fœfk %g!!  )=ckutgtf!o Bg*

  ^c(bgkg !o 'gr(kg fœbokborfjno ioéorbf cbgj noēfœfk mgjuju gyjķ œombf fbo Eccbogjkgtokgtfēfjno no ioéorbfnfr?

  g* $ X E \ E X $ * $ ? E \ E ? $

C_

  $ X$U \ ;  4 X ; \ ;  ; X 4 \ ;

  $?$U \ 4  4 ? ; \ 4  ; ? 4 \ 4

  $ X $ \ $  4 X 4 \ 4  ; X ; \ ;

$ ? $ \ $  4 ? 4 \ 4  ; ? ; \ ;

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Eccbogj Murgbbgrķ #o Bcdfm &"gnoborfj %gnoboœtfrfbkosf

> Efrboœko %g!!  )$sscsfgtf!o Bg *

^c(bgkg !o 'gr(kg fœbokborfjno ioéorbf cbgj noēfœfk mgjuju gyjķ œombf fbo Eccbogj

kgtokgtfēfjno no ioéorbfnfr?  g* )$ X E* X = \ $ X )E X =* \ $XEX=  * )$ ? E* ? = \ $ ? )E ? =* \ $ ? E ? =

9g1ķbkg %g!!  )Nfstrfutf!o Bg*

2orom ‑tc(bgkgjķj égr(kg‖ +>orfjnomf ioromsono ‑égr(kgjķj tc(bgkg‖ +>orfjnomf ngēķbkgð>obbfmborf cbgrgm tgjķkbgjgj mgjujbgr1 gyjķ œombf fbo ccbogj kgtokgtfēfjnomubbgjķbkgmtgnķr?

  g* $ ? )EX=* \ )$ ? E* X )$ ? =*  * )$XE* ? )$X=* \ $X )E ? =* 

0 .!tkg %g!!  )$scrgtfcj Bg*

0gbjķ>hg Eccbogj hofrfjno ioéorbf cbgj murgbbgrngj fr nfēorf6 yutkg mgjujunur?

  g* $X $ ? E \ $  * $ ? )$XE* \ $

/ Egsftboœtfrko %g!!  )Kfjfkfsgtfcj Bg*

^c(bgkg !o 'gr(kg fœbokborfjno ccbogj kgtokgtfēfjno ioéorbf cbgj fr nfior murgb6 gsftboœtfrko !o sgnoboœtfrko murgbķnķr?

  g* $ X $U ? E \ $ X E  * $ ?)$UXE* \ $ ? E

4 9o Kcr=g %g!bgrķ '

‑#-0$N-&B‖ !o ‑#-N-&B‖ fœbokborfjnoj "gyngbgjgrgm uyēubgjgj !o bcdfm fœbokbornomcbgybķmbgr sgēbgygj murgbbgr1 ‑9o Kcr=g %g!bgrķ 2 %!rgbbgrķ‖ cbgrgm fsfkbojnfrfbfr 

  g* $?E \$UXEU  * $XE \ $U?EU 

/

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  Eccbogj Murgbbgrķ #o Bcdfm &"gnoborfj %gnoboœtfrfbkosf

8# Eccbog %!rgbbgrķķ %!bbggrgm Bc;fm œftbfmborf ?g(oboœtfrfbkosf

Mgrkgœķm bcdfm f"gnobor1 yumgrķng ð>otbojoj ccbogj kgtokgtfēfjnomf murgbbgrngj"gyngbgjgrgm sgnoboœtfrfbofbfrbor )gsftboœtfrfbofbfrbor*? %gnoboœtfrfboj bcdfm f"gnobornoj

cbuœturubghgm obomtrcjfm no!robor1 8ok ng8g gsft 8ok no ng8g uhu> cbgrgmioréomboœtfrfbofbfrbor?

Eccbogj murgbbgrķjķj bcdfm f"gnoborfj gsftboœtfrfbkosfjno mubbgjķbkgsķjg ðrjom cbkgsķ gmķkķjngj yumgrķngmf g>ķ oœftbfmborf fs(gtbgygbķk !o "cjmsfycj gsftboœtfrko fœbokborfyg(gbķk?

&œbokborno noēfœmojborfj noēfbfjf f"gno otkom féfj ‑ : ‖  fœgrotf mubbgjķbķrmoj1 frboœfmf"gnoborfj noēfbf féfj ‑P‖ sokcb+ mubbgjķbghgmtķr?

CL

Ðrom $'  : ‖jfj fs(gtķjķ yg(gbķk?

)$XE* ? )$X=* \ $ ? $ X$ ?= X E ? $ X E ? = \ $ X $?= X $?E X E?=

$ \ $ );X=XE* X E?=  ;

  \ $?; X E?= \ $ XE?=

Ðrom >'  C g‖jķj fs(gtķjķ yg(gbķk?

 $ X $U?E \ $ X $U?E \$U?)$U?E* \ $U?)$UUXEU*$

  \ $U?)$XEU* \ $U?$ X $U?EU \ $U?EU \$XE \ $XE  4

Ðrom 8'  7 g‖jķj fs(gtķjķ yg(gbķk?

$X$?E \ $ );XE* \ $?; \ $ );XE \ ;*  ;

Ðrom '  7 ‖jfj fs(gtķjķ yg(gbķk?

$?)$XE* \ $?$ X $?E \ $X $?E \ $?);XE* \ $?; \ $

  $ ;

Ðrom '  C ‖jfj fs(gtķjķ yg(gbķk?

$?)$UXE* \$?$U X $?E \ 4 X $?E \ $?E

  4

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Eccbogj Murgbbgrķ #o Bcdfm &"gnoborfj %gnoboœtfrfbkosf

 

%gnoboœtfrko fœbokf1 ‑E‖ (grgjto>fjo gbķjgrgm yg(ķbķrsg6

$UE X $ X $E \ E ? )$ X $U* X $ \ E ? ; X $ \ $XE  

cbgrgm ubujur? Eu scjué1 gyjķ scjuhg "grmbķ œomfbborno ubgœķbghgēķjg fyf fr ðrjomtfr?

/

Ðrom 6'  $?E X $U?= X E?= f"gnosfjf sgnoboœtfrobfk

$?E X $U?= X E?= \ $?E X $U?= X E?=?)$X$U* \ $?E X $U?= X $?E?= X $U?E?=

)$?;\$ !o $X$U\; cbnuēujngj scjué noēfœko>*

  \ $?E?);X=* X $U?=?);XE*

\ $?E X$U?=

Ðrom 4' $U?EU?= X $U?E?= X $?EU f"gnosfjf sgnoboœtfrobfk?

$U?EU?= X $U?E?= X $?EU \ $U?=?)EXEU* X $?EU \ $U?= X $?EU  ;

Ðrom 0 ' $XEX= \ $U?EU?=U ‖jfj fs(gtķjķ yg(gbķk?

 $X EX= \ $XF \ $U?FU \ $U?)EX=* \ $U?)EU?=U* \ $U?EU?=U

  )EX=\F* cbgrgm !grsgygbķk?

 Ðrom / ' Y \ $U?E X $ X $?E f"gnosfjf sgnoboœtfrobfk?

$U?E X $ X $?E \ $?);XE* X $U?E \ $ X $U?E \ $U?)$U?E* \ $U?)$UUXEU*

; $\ $U?$UU X $U?EU \ $U?$ X $U?EU

$ 4

\ $U?EU \ $XE \ $XE

Ðrom $+'  $UEU=U X $UEU= X $E=U X $EU=U f"gnosfjf sgnoboœtfrobfk

$UEU=U X $UEU= X $E=U X $EU=U \ $UEU?)=X=U* X$=U?)EXEU*

\ $UEU X $=U

;   ;

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;

  Eccbogj Murgbbgrķ #o Bcdfm &"gnoborfj %gnoboœtfrfbkosf

 # 9c1r!b!m &gebcs!

Bcdfm no!roborno1 ifrfœ noēfœmojborfjfj gbgfbohomborf sgyķsgb noēorborf )mckfjgsycjbgrķ* !osgyķsgb noēorboro iðro éķmķœbgrķj nurukuju iðstoroj tgbcbgr1 ‑(c1r!b!m tgebcs!‖  cbgrgm

fsfkbojnfrfbfr? Ncērubum tgbcbgrķ cbuœturuburmoj1 ifrfœ noēfœmoj sgyķsķjg iðro nuruk f"gnosfcrtgyg éķmgr? ‑j‖ tgjo noēfœmoj féfj _j noēfœfm nuruk cbuœur? ,rjoēfj6 _ noēfœmojbf fr f"gnoféfj __ \ L noēfœfm nuruk1 @ noēfœmojbf fr f"gno féfj _ @ \ 5 noēfœfm nuruk obno onfbfr?

Ðrom $$ '  2frfœ noēfœmojborfjfj $ !o E cbnuēu fr sfstokno $XE fœbokfioréomboœtfrfbnfēfjo iðro6 $ !o E‖ jfj gbghgēķ noēorbor fbo éķmķœtg cbuœghgm noēorborf tgbc8gbfjno iðstorobfk?

 $ E $XE4 4 44 ; ;; 4 ;; ; ;

 

Ðrom $8 ' $ !o E ifrfœ noēfœmojborfjo sg8f( bcdfm no!rojfj éķmķœķ "\$?E oœftbfēf fboiðstorfbkomtonfr? 2frfœ !o éķmķœtg cbuœgfbohom noēorborf tgbc 8gbfjno iðstorobfk?

$ E $ ? E4 4 44 ; 4; 4 4; ; ;

Ðrom $ '  2frfœ noēfœmojborf cbgrgm fsfkbojnfrfboj $ !o E noēfœmojborfjfj gbghgēķsgyķsgb noēorborf !o u noēfœmojborbo cbuœturubgfbohom +t+j fœbokborf ncērubum tgbcsu fboiðstorobfk?

$ E $U EU $XE $?E $X$U $?$U EXEU E?EU $XEU $UXE

4 4 ; ; 4 4 ; 4 ; 4 ; ;

4 ; ; 4 ; 4 ; 4 ; 4 4 ;

; 4 4 ; ; 4 ; 4 ; 4 ; 4

; ; 4 4 ; ; ; 4 ; 4 ; ;

C7

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Eccbogj Murgbbgrķ #o Bcdfm &"gnoborfj %gnoboœtfrfbkosf

Ðrom $> ' $XE \ $U # EU No Kcrigj tocrokfjf ncērubum tgbcsu fbo fs(gtbgygbķk?

-œftbfēfj fmf tgrg"ķjngmf fœbokborf toksfb onoj s+tujbgrķj gyjķ noēorboro sg8f( cbkgsķ1ncērubum tgbcsu ygrnķkķ fbo oœftbfēfj ncēru cbnuēuju fs(gtbgr?

$ $U E EU $XE $XE $U?EU

4 ; 4 ; 4 ; ;

4 ; ; 4 ; 4 4

; 4 4 ; ; 4 4

; 4 ; 4 ; 4 4

Ðrom $ '  $ ? E \ $UXEU oœftbfēfjf ncērubum tgbcsu fbo fs(gtbgygbķk?

$ $U E EU $ ? E $ ? E $UXEU4 ; 4 ; 4 ; ;

4 ; ; 4 4 ; ;

; 4 4 ; 4 ; ;

; 4 ; 4 ; 4 4

Ðrom $0 ' Y \ $ X $ ? E \ $ cbnuēuju fs(gtbgygbķk?

$ E $ ? E $ X $ ? E

4 4 4 4

4 ; 4 4

; 4 4 ;

; ; ; ;

//

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  Eccbogj Murgbbgrķ #o Bcdfm &"gnoborfj %gnoboœtfrfbkosf

Ðrom $/ ' Y \ $ ? )EX=* \ )$ ? E* X )$ ? =* oœftbfēfjfj ncēru cbnuēuju ncērubumtgbcsujng noēfœmoj noēorborfjf mubbgjgrgm fs(gtbgygbķk?

$ E = EX= $?)EX=* $ ? E $?= )$?E*X)$?=*

4 4 4 4 4 4 4 4

4 4 ; ; 4 4 4 4

4 ; 4 ; 4 4 4 4

4 ; ; ; 4 4 4 4

; 4 4 4 4 4 4 4

; 4 ; ; ; 4 ; ;

; ; 4 ; ; ; 4 ;

; ; ; ; ; ; ; ;

Ðrom $4 '  Y \ $ X $ ? E X $U? = X =U ? N \ $ X = X N oœftbfēfjf ncērubum tgbcsumubbgjgrgm fs(gtbgygbķk?

$ $U E EU = =U N N‖ $E $U= =UN $X$EX$U=X=UN $X=XN

4 ; 4 ; 4 ; 4 ; 4 4 4 4 4

4 ; 4 ; 4 ; ; 4 4 4 ; ; ;

4 ; 4 ; ; 4 4 ; 4 ; 4 ; ;

4 ; 4 ; ; 4 ; 4 4 ; 4 ; ;

4 ; ; 4 4 ; 4 ; 4 4 4 4 4

4 ; ; 4 4 ; ; 4 4 4 ; ; ;

4 ; ; 4 ; 4 4 ; 4 ; 4 ; ;

4 ; ; 4 ; 4 ; 4 4 ; 4 ; ;

; 4 4 ; 4 ; 4 ; 4 4 4 ; ;

; 4 4 ; 4 ; ; 4 4 4 ; ; ;

; 4 4 ; ; 4 4 ; 4 4 4 ; ;

; 4 4 ; ; 4 ; 4 4 4 4 ; ;

; 4 ; 4 4 ; 4 ; ; 4 4 ; ;

; 4 ; 4 4 ; ; 4 ; 4 ; ; ;

; 4 ; 4 ; 4 4 ; ; 4 4 ; ;

; 4 ; 4 ; 4 ; 4 ; 4 4 ; ;

-j scj fmf s+tujngmf noēorborfj oœft cbkgsķ f"gnoborfj frfrborfjo oœft cbnuēuju iðstorfr?

C5

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Eccbogj Murgbbgrķ #o Bcdfm &"gnoborfj %gnoboœtfrfbkosf

>#># 3LL 9fg=rgkķ

#ojj nfygirgkķ1 Eccbogj noēfœmojborf grgsķjngmf fbfœmfborf œomfbborbo iðstorkom gkghķybgmubbgjķbgj yðjtoknfr? Nfēor fr noyfœbo6 m+kobor horfjfj irg"fm cbgrgm iðstorfkf cbgj #ojj

Nfygirgkbgrķ1 bcdfm f"gnoborf iðrsob cbgrgm f"gno otkoyo ygrgygj fr grgétķr? Eu yðjtok1 omfbL?;Unomf iff ngfroborfj mubbgjķbnķēķ !o 8or ngfrojfj fr noēfœmojf toksfb ottfēf iðstorfkœombfnfr? Efr ngfrojfj féorfsfjnomf t+k jcmtgbgr noēfœmojfj mojnfsfjf iðstorfrmoj1 ngfrojfjnķœķjngmf t+k jcmtgbgr fso ‑noēfœmojfj noēfbf‖ cbgrgm f"gno onfbfr? ,rjoēfj $\; !o ujg gēbķcbgrgm $U\4 cbgrgm n+œ+j+rsom6 $‖yķ toksfb onoj ngfrojfj féfjnomf jcmtgbgr ;‖f1 nķœķjngmfjcmtgbgr 4‖ķ toksfb onor? Eu mgubboro iðro frfrfjf mosoj fmf ngfro !o ngfroborfj nķœķjngmfjcmtgbgr omfb L?_‖nomf iff f"gno onfbfr?

$ !o E cbgrgm fsfkbojnfrfboj fmf m+kojfj crtgm obokgjbgrķ mosfœfk )$∦E* m+kosfjf !o fmfm+kojfj obokgjbgrķjķj tgkgkķ fboœfk )$∤E* m+kosfjf cbuœturur? $ m+kosfjfj obokgjķcbkgygj obokgjbgrngj cbuœgj m+ko $ķ cbgrgm fsfkbojnfrfboj m+koyf cbuœturur? 

$UE$EU

E

$UEU

$

E$

$E

$EX$

"omfb >#8# #ojj Nfygirgkķjng m+koborfj cbuœturubkgsķ !o $E X$ \ $ oœftbfēfjfj #ojj nfygirgkķ fboiðstorfkf?

 

E

=

$ E

=

$

$?=

$?E

$)EX=* $E X $=

"omfb >##  Ngēķbkg mgjujujuj #ojj nfygirgkķ fbo iðstorfbkosf?

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  Eccbogj Murgbbgrķ #o Bcdfm &"gnoborfj %gnoboœtfrfbkosf

#ojj nfygirgkbgrķ1 Eccbogj horfjnomf sgnoboœtfrkoborf !oyg tocrokborfj ioéorbfbfēfjfiðstorkom féfj mubbgjķbgfbfr? omfb L?_1 $E !o $ noēorborfjf toksfb onoj1 scjuétg $X$E \ $oœftbfēfjf f"gno onoj ðbioborf iðstorfr? ombfj fjhobojkosfjnoj6 $EX$ oœftbfēfjf f"gno onoj

 ðbio fbo $‖ yķ f"gno onoj ðbiojfj gyjķ cbnuēu iðr+b+r?

omfb L?@1 $?)EX=* \ )$?E* X )$?=* ngēķbkg mgjujujuj #ojj nfygirgkķ fbo iðstorfkfjfiðstorkomtonfr? Eu nfygirgkng1 frfrfjf mosko ðbioborf ubujgj !o $1 E1 = fbo f"gnoonfboj +é ngfro ubujkgmtgnķr? <é noēfœmojbf #ojj nfygirgkķ fbo somf> "grmbķ gbgjķtgjķkbgkgm k+km+jn+r? Eu ðrjom fbo $1 E1 = cbgrgm f"gno onfboj ðbioborfj mosfœkojcmtgbgrķ fbo ‑$EX$=‖ cbgrgm tgjķkbgjgj ðbioborfj gyjķ cbnuēu iðstorfbofbfr?

# &okob Géķbķkbgr 7o ?tg(grt 5<g(obor 

Ng8g ðjhomf mcjubgrng g8sonfbnfēf +>oro1 fr fjgry noēfœmojf1 yg mojnf jcrkgb "crku cbgj$ cbgrgm !oyg noēfbf cbgj $U "crku fbo f"gno onfbofbfr? Eu "crkbgrbg f"gno onfbofbojnoēfœmojbor "cjmsfycj 8gbfjf gbnķēķ >gkgj6 ‑-gcf-gb  <crk‖ )mgjuj3mgfno* cbgrgm

gnbgjnķrķbgj ‑kftork‖  )égr(ķkbgrķj tc(bgkķ* !oyg ‑kgtork‖  )tc(bgkbgrķj égr(ķkķ*kcnobborfjnoj frf fbo iðstorfbfrbor?

9o1fœmo Kftorkbor Kgtorkbor

$ E = ^orfk &sfk ^orfk &sfk

4 4 4 $UEU=U k4 $XEX= K4

4 4 ; $UEU= k; $XEX=U K;

4 ; 4 $UE=U k_ $XEUX= K_

4 ; ; $UE= k@ $XEUX=U K@

; 4 4 $EU=U kL $UXEX= KL

; 4 ; $EU= k: $UXEX=U K:

; ; 4 $E=U k7 $UXEUX= K7

; ; ; $E= kC $UXEUX=U KC

&gebc >#$# <é noēfœmojbf fr sfstokno cbuœgfbohom kfjtork !o kg/tork torfkborf?

Efr ccbogj f"gnono ubujgj noēfœmojborfj sg8f( cbnuēu !oyg cbuœturgfbohoēfmckfjgsycjbgrķj ‑#-‖ )égr(ķk* fœbokf scjuhujng ; cbghgm œomfbno uygrbgjkgsķjg)noēfœmojfj noēorf ; fso cbnuēu iff gbķjķ(1 4 fso noēfbf fbo f"gno onfborom*1 ‑ kftork‖ nojfr?$yjķ ycbbg1 noēfœmojborfj mckfjgsycjbgrķjķj ‑#-0$‖ )tc(bgkg* fœbokf scjuhujng 4

noēorfjf gbkgsķjķ sgēbgyghgm œomfbno noēfœmojborfj œomfbbojnfrfbkosfjo ‑kgtork‖ nojfr?

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Eccbogj Murgbbgrķ #o Bcdfm &"gnoborfj %gnoboœtfrfbkosf

^gbc L?;‖no +é noēfœmojbf fr sfstokno noēfœmojborfj cbuœturgfbohoēf mckfjgsycjbgr !o umckfjgsycjbgrng obno onfbohom kfjtork !o kg/tork torfkborf !orfbkfœtfr?

Efr Eccbogj "cjmsfycju ^gbc L?;‖nomf ncērubum tgbcsujngj obfrbf mckfjgsycjbgrķj

soéfbkosf1 soéfboj mckfjgsycjbgrķj scjué cbghgm œomfbno "crkbgjnķrķbkgsķ !o "crkbgjnķrķbgjmckfjgsycjbgrķj tc(bgjkgsķ )‑#-0$‖ fœbokfjo tgf tutubkgsķ* œombfjno tgjķkbgjgfbfr?

Ðrom $6 '  ^gbc L?_‖nomf ncērubum tgbcsujng " ; !o " _ "cjmsfycjbgrķjķ kfjtork "crku fbotgjķkbgygbķk?

G E H < $ < 8

4 4 4 4 4

4 4 ; ; 4

4 ; 4 4 4

4 ; ; 4 ;

; 4 4 ; 4

; 4 ; 4 ;

; ; 4 4 ;

; ; ; ; ;

&gebc >#8# Ycjmsfycjbgrngmf kfjtork cbuœturghgm mckfjgsycjbgrķj soéfbkosf?

‑" ;‖ "cjmsfycjujng ‑;‖ cbgrgm tgjķkbgjgj mckfjgsycjbgrngmf noēfœmoj noēorborf644;1 ;44 !o ;;; cbnuēujngj1 u mckfjgsycjbgrķ toksfb onoj noēfœmojbor "cjmsfycj cbgrgm1

" ; \ k; X kL X kC \$UEU= X $EU=U X $E=

œombfjno f"gno onfbfr?

$yjķ œomfbno " _  "cjmsfycju6

" _ \ k@ X k: X k7 X kC \ $UE= X $EU= X $E=U X $E=

cbgrgm tgjķkbgjķr?

Eu ðrjom fr Eccbogj "cjmsfycjujuj kfjtorkborfj tc(bgjkgsķ œombfjno tgjķkbgjgfbohoēfð>obbfēfjf iðstorfr? Eu ðrjomto éķmķœtgmf ‑;‖ noēorborf ro"orgjs cbgrgm gbķjkķœtķr?

‑" ;‖  "cjmsfycjujng ‑4‖ cbgrgm tgjķkbgjgj mckfjgsycjbgr ro"orgjs cbgrgm gbķjķr !o

mckfjgsycjbgrngmf noēfœmojborfj tc(bgkķ ‑4‖ cbghgm œomfbno mckfjgsycjbgr

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  Eccbogj Murgbbgrķ #o Bcdfm &"gnoborfj %gnoboœtfrfbkosf

"crkbgjnķrķbķrsg1 Eccbogj horfjfj nfēor fr ð>obbfēf crtgyg éķmgr? Eu ð>obbfm6 Eccbogj"cjmsfycjujuj kg/torkborfj égr(ķkķ )$.N fœbokfjo tgf tutubkgsķ* œombfjno f"gnoonfbofbfrbfēf ð>obbfēfnfr?

Eu ð>obbfēf iðstorohom œomfbno Y; !o Y_ "cjmsfycjbgrķ yg>ķbgfbfr? Eu nurukng Y; "cjmsfycju6Y; \ K4 ? K_ ? K@ ? K: ? K7 

\ )$XEX=* ? )$XEUX=* ? )$XEUX=U* ? )$UXEX=U* ? )$UXEUX=*

œombfjno1 Y_ "cjmsfycju fso6

Y_ \ K4 ? K; ? K_ ? KL 

\ )$XEX=* ? )$XEX=U* ? )$XEUX=* ? ) $UXEX=*

œombfjno tgjķkbgjķr?

0# Kftorkborf &cpbgkķ 7o Kgtorkborf ,grpķkķ 5<g(oborff Òrotfbkosf

%gnoboœtfrfbkfœ cbgrgm !orfboj fr "cjmsfycju1 kfjtorkborfj tc(bgkķ !oyg kg/torkborfjégr(ķkķ œombfjno f"gno otkom obfrbf uyiubgkgbgr féfj uyiuj cbgfbfr? %gnoboœtfrfbkfœ cbgrgm!orfboj fr "cjmsfycju kfjtorkborfj tc(bgkķ œombfjno f"gno otkom féfj1 8orfr kfjtorkf"gnosf +t+j noēfœmojborf féorohom œomfbno iojfœbotfbfr? 9or8gjif fr mckfjgsycjng

 ubujkgygj noēfœmojborf ombokom féfj mckfjgsycj )/ X /U* torfkf fbo ‑#-‖ fœbokfjo tgftutubur )/1 mckfjgsycjng ubujkgygj noēfœmojbornoj 8orfrfjf f"gno onor*?

$œgēķngmf ðrjombor1 iojfœbotko fœbokfjf ng8g jot cbgrgm gjbgkgyg ygrnķk onohomtfr?

Ðrom 8+ ' "\$XEU= f"gnosfjf kfjtorkborfj tc(bgkķ œombfjno f"gno onobfk?

&bm mckfjgsycjng )kfjtork f"gnosfjno* ygbjķ>hg $ ubujnuēujngj E !o = noēfœmojborff"gnoyo ombojkobfnfr? &bm kfjtorko ‑E‖ noēfœmojfjfj ombojkosfybo6

 $\$)EXEU*\$EX$EU

f"gnosf obno onfbfr? $jhgm 8gbg ‑=‖ noēfœmojf mckfjgsycjng ycmtur !o ‑=‖ noēfœmojfjfjombojkosfybo6

$ \ $E)=X=U* X $EU)=X=U* \ $E= X $E=U X $EU= X $EU=U

oœftbfēf ubujur?

&mfjhf mckfjgsycj EU= cbnuēujngj1 $ noēfœmojfjfj ombojkosfybo6

EU= \ EU=)$X$U* \ EU=$ X EU=$U

f"gnosf obno onfbfr? &mf mckfjgsycjuj frboœtfrfbkosf scjuhujng6

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Eccbogj Murgbbgrķ #o Bcdfm &"gnoborfj %gnoboœtfrfbkosf

  " \ $E=X$E=UX$EU=X$EU=UX$EU=X$UEU=

oœftbfēf cbuœur? $EU= mckfjgsycju fmf moro mubbgjķbnķēķjngj !o / X / \ / cbnuēujngj!orfboj "cjmsfycj 6

  " \ $XEU= \ $UEU=X $EU=UX $EU=X $E=UX $E= \ k;XkLXk:Xk7XkC œombfjf gbķr?

 Kfjtorkborfj tc(bgkķ cbgrgm f"gno onfbkom fstojoj fr "cjmsfycj ‑∗‖ sokcb+ fbo obfrtfbfr?Eu sokcb+j mubbgjķbnķēķ nurukbgrng "cjmsfycj6

Y)$1E1=* \ ∗ );1L1:171C*

œombfjno f"gno onfbfr?

%gnoboœtfrfbkfœ cbgrgm !orfboj fr f"gnoyf1 t+k noēfœmojborf féoroj kg/torkmckfjgsycjbgrķj égr(ķkķ œombfjno f"gno otkom féfj yumgrķngmf fœbok gsgkgmbgrķjķj gyjķsķmubbgjķbķr?

Ðrom 8$' Y \ )$UXE*?)$X=*?)EX=* "cjmsfycjuju kgmstorkborfj égr(ķkķ œombfjno f"gnoonobfk?

#orfboj oœftbfmto 8or fr mckfjgsycjng fr tgjo noēfœmoj omsfm cbnuēujngj 6

  $UXE \ $U X E X ==U \ )$UXEX=* ? )$UXEX=U*$X= \ $ X = X EEU \ )$XEX=* ? )$XEUX=*

  EX= \ E X = X $$U \ )$XEX=* ? )$UXEX=*

oœftbfmborf obno onfbfr?

Eu f"gnobor fr grgyg iotfrfbfrso ); moronoj "g>bg yg>ķbgjbgrķ ; moro yg>grgm*6

Y \ ) $XEX= * ? ) $XEUX= * ? ) $UXEX= * ? ) $UXEX=U *

\ K4?K_?KL?K: 

"cjmsfycju cbuœur?

‑∃‖ sokcb+j+j kg/torkborfj égr(ķkķ féfj mubbgjķbnķēķjķ obfrtorom !orfboj "cjmsfycju6

Y)$1E1=* \ ∃ )41_1L1:*

œombfjno f"gno onofbfrf>?

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  Eccbogj Murgbbgrķ #o Bcdfm &"gnoborfj %gnoboœtfrfbkosf

/# Kgtork 7o Kftork 5<g(oborf Efrefrborfo 9NOœtOrObkosf

‑Kfjtork‖ !o ‑Kg/tork‖ f"gnoborfj obno onfbfœ œomfbborf ið> ðj+jno tutubursg1 kfjtork !okg/tork f"gnoborfj frfrborfjfj torsf )mck(bokojtf3t+kboyojf* cbnuēu ubujgfbfr? '+jm+

kfjtorkborf cbuœturkgm féfj "cjmsfycjbgrngmf U;U noēorborf gbķjķrmoj1 kg/torkborf cbuœturkgmféfj U4U noēorborf gbķjkgmtgnķr? ,rjom cbgrgm6

" )$1E1=* \ ∗);1L1:171C*

\ k; X kL X k: X k7 X kC 

"cjmsfycju fjhobojfrso6 u "cjmsfycjuj t+kboyojf6

  " U)$1E1=* \ ∗ )41_1@*

\ k4Xk_Xk@ 

cbgrgm cbuœur? Eu "cjmsfycjngj " :‖fj mojnf mgrœķbķēķ No Kcrigj murgbbgrķjķ mubbgjgrgm obnoonobfrso1

" U \ k4Xk_Xk@ ⇕  " \ k4Xk_Xk@ \ k4U?k_U?k@U

\ K4?K_?K@ 

\ ∃  )41_1@*

f"gnosf ubujur? k&U \ K&  cbnuēu ncērubum tgbcsujngj iðr+bofbfr? 0fjo ncērubumtgbcsujngj K&U \ k& cbnuēu éķmgrķbgfbfr?

Eu géķmbgkgbgrngj kfjtork !o kg/tork torfkborf grgsķjngmf nðj+œ+k féfj iorombf fœbokborf6‑∗  sokcb+ ∃  sokcb+ fbo noēfœtfrfbfrmoj1 f"gno onfboj sgyķbgrng ubujgj sgyķbgr

 ubujkgygj sgyķbgrbg yor noēfœtfrfr‖ œombfjno ð>otbojofbfr?

0g(ķbgj ð>otbokoyf1

Y)$1E1=* \∃)41_1L1:*

"cjmsfycjujg uyiubgrsgm1 u kg/tork f"gnojfj kfjtorkborbo f"gnosf6

" )$1E1=* \ ∗);1@171C*

œombfjno cbuœur?

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Eccbogj Murgbbgrķ #o Bcdfm &"gnoborfj %gnoboœtfrfbkosf

4# Bc;fm 5œbokbor

UjU fmfbf noēfœmojf fbo _ +>orf _j  sgyķng "cjmsfycj yg>kgm k+km+jn+r?  Eu nurukng _noēfœmojbf fr sfstokno _L \ ;7 Eccbogj "cjmsfycju yg>ķbgfbfr? F !o 0 noēfœmojborf fbo

cbuœturubgfbohom "cjmsfycjbgr1 Y4  Ungj Y;: Uo mgngr fsfkbojnfrko fbo ^gbc L?@‖nomf iffsķrgbgjgfbfr?

Ycjmsfycjbgrķjķj géķmbgkgsķ !orfboj fmf noēfœmojbf sfstokfj ncērubum tgbcsu !o"cjmsfycjbgrķj fœbok scjuébgrķ1 ^gbc L?L‖tomf iff ð>otbojofbfr?

Eccbog@cmsfc! 5œbok ?okecbO 5sfk Géķmbgkg

Y4  \ 4 .ubb Efjgry sgft ∏

Y;  \ /?y /?y #- / !o y

Y_  \ /?yU /Iy &j8fftfcj / !o y noēfb

Y@  \ / ^rgjs"or /

YL  \ /U?y yI/ &j8fftfcj y !o / noēfb

Y:  \ y ^rgjs"or y

Y7  \ /?yU X /U?y / ⊟ y ,D-B#-0$ / !oyg y "gmgt fmfsf

YC  \ / X y / X y #-0$ / !oyg y

Y5  \ / X y / ↘ y #-0$N-&B #-0$‖jķj noēfbf

Y  \ /?y X /U?yU / ⊙ y -œftbfm / oœft y

Y;4 \ yU yU Noēfb yUjfj noēfbf

Y;; \ / X yU / ⊅ y ,rtoj -ēor y \ ; fso /

Y;_ \ /U / Noēfb / noēfb

Y;@ \ /U X y / ⊈ y ,rtoj -ēor / \ ; fso y

Y;L \ /?y / ↗ y #-N-&B #-‖jfj noēfbf

Y;: \ ; ^gjķkbgkg Efjgry sgft ;

&gebc >## &mf noēfœmojbf sfstokno cbuœturubgfbohom ;7 "cjmsfycjuj géķmbgkgbgrķ?

^gbc L?L‖nomf fœbokborfj fr mķskķ ng8g ðjho mgrœķbgœķbgj "cjmsfycjbgr )X1 31 Q1 !?* cbkgmbg frbfmto1 fr mķskķ ygbjķ>hg bcdfmto mgrœķbgœtķēķkķ> "cjmsfycjbgrnķr )sokcbbornfr*? Ncērubumtgbcsujng iðstorfboj ;7 "cjmsfycj @ iru(tg fjhobojofbfr?

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  Eccbogj Murgbbgrķ #o Bcdfm &"gnoborfj %gnoboœtfrfbkosf

f3 &mf fœbok U4U !oyg U;U cbgrgm fr sgft +rotfr )Y41 Y;:*?

ff3 Nðrt fœbok trgjs"or !o t+kboyoj fœbokborfnfr )Y@1 Y:1 Y;41 Y;_*?

fff3 Efjgry noēorborfj mubbgjķbnķēķ ;4 fœbok fso somf> "grmbķ 8osg(bgkgyķ toksfb onor

#-1 #-0$1 #-N-&B1 #-0$N-&B1 ,D-B#-0$1 -œftbfm1 &j8fftfcj1 ,rtoj)&k(bfhgtfcj*?

@+ @$ @8 @ @> @ @0 @/ @4 @6 @$+ @$$ @$8 @$ @$> @$

4 4 4 4 4 4 4 4 4 4 ; ; ; ; ; ; ; ;

4 ; 4 4 4 4 ; ; ; ; 4 4 4 4 ; ; ; ;

; 4 4 4 ; ; 4 4 ; ; 4 4 ; ; 4 4 ; ;

; ; 4 ; 4 ; 4 ; 4 ; 4 ; 4 ; 4 ; 4 ;

fœbok # I I   ⊟ X   ↘ ⊙ yU   ⊅ /U   ⊈ ↗

&gebc >#># &mf fjgry noēfœmojfjfj cbuœturgfbohoēf ;7 "cjmsfycj féfj ncērubum tgbcsu

0umgrķng iðstorfboj fœbokbornoj ‑fj8fftfcj‖ gjn ‑fk(bfhgtfcj‖ fœbokborf bcdfmbo uērgœgjmfœfbor tgrg"ķjngj mubbgjķbkgmbg orgor1 fbifsgygrbgrng jgnfroj mubbgjķbķr? Bcdfmto ygyiķjcbgrgm mubbgjķbgj fœbokbor bcdfm no!ro obokgjbgrķjķj gjbgtķbghgēķ bcdfm mg(ķbgr mcjusujngnotgyķybg fjhobojohomtfr?

Ðrom 88 ' $œgēķng !orfboj ncērubum tgbcsujg iðro Y "cjmsfycjuju kfjtork !o kg/torkyðjtokborfjf mubbgjgrgm sgnoboœtfrobfk?

G E H @

4 4 4 ;

4 4 ; 4

4 ; 4 4

4 ; ; ;

; 4 4 ;

; 4 ; ;

; ; 4 4

; ; ; 4

f3 ,jho kfjtork f"gnobor yg>ķbķr !o yg>ķbgj f"gnobor sgnoboœtfrfbfr6

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Eccbogj Murgbbgrķ #o Bcdfm &"gnoborfj %gnoboœtfrfbkosf

%gnoboœtfrko scjuhujng6

  Y)$1E1=* \ ∗ )41@1L1:* \ $UEU=U X $UE= X $EU=U X $EU=

\ EU=U?)$X$U* X $UE= X $EU= \ EU=U X $UE= X$EU=

  ;\ EU?)=U X $=* X $UE= ⇕  =U X $= \ = UX $

\ EU=U X EU$ X $UE=

oœftbfēf obno onfbfr?

ff3 Ycjmsfycj kg/tork œombfjno yg>ķbķrsg6

&omrgrbgkg 7o ,gbķœkg ?cr!bgrķ

;? Eccbogj horfjnomf tokob ð>obbfmbor jobornfrV

_? No Kcrigj murgbbgrķjķ ð>otboyfjf>?

@? $UEX$X$E f"gnosfjf sgnoboœtfrfjf>?

L? Ncērubum tgbcsuju tgjķkbgyķ(1 @ noēfœmojbf ncērubum tgbcsuju cbuœturuju>?

:? No Kcrigj tocrokborfjf ncērubum tgbcbgrķ mubbgjgrgm fs(gtbgyķjķ>?

7? #ojj œokgsķ yðjtokfjf ð>otboyfjf>?

C? $X$E\$ fœbokfjf #ojj œokgsķ yðjtokf fbo fs(gtbgyķjķ>?

5? " \$UEXE=X$= sgnoboœtfrfbkfœ f"gnoyf1 iojfœbotfbkfœ kfjtork f"gnosf cbgrgm ubuju>?

? "\$XEU= f"gnosfjf1 iojfœbotfbkfœ kg/tork f"gnosf cbgrgm ubuju>?

4/

Y)$1E1=* \ ∃ );1_171C* \)$XEX=U*?)$XEUX=*?)$UXEUX=*?)$UXEUX=U*

\)$$X$EUX$=XE$XEEUXE=X=U$X =UEU X=U=*?)$U$UX$UEUX$U=UX$UEUXEUEUXEU=UX$U=XEU=X==U*  $ 4 4 $U 4 4

  $X$EU\X$ $UX$UEU\$U EU=UX EU=\ EU)=UX=*\EU$X$= \ $);X=*\$ $X =U$ $UX$U=U\$U

  $XE$\$ $UX$UEU\$U$XE=X =UEU $UX $U=\ $U $UX EU 

%gnoboœtfrfbkoborfj yg(ķbkgsķ fbo 6

Y \ ) $ X E= X EU=U *?) $UXEU * \ $EU X $UE= X EU=U

f"gnosf obno onfbfr ?

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  Eccbogj Murgbbgrķ #o Bcdfm &"gnoborfj %gnoboœtfrfbkosf

;4? "\∗)@1:171C* f"gnosfjfj t+kboyojfjf ubuju>?

;;? "\∃)41L171C* f"gnosfjfj t+kboyojfjf ubuju>?

;_? &mf fjgry noēfœmojfjfj cbuœturgfbohoēf "cjmsfycjbgrķ ncērubum tgbcsu œombfjno

iðstorfjf>?

;@? Y)$1E1=*  \ ∗)41@1:1C* kfjtork f"gnosfjf ncērubum tgbcsujng iðstorfjf> !o f"gnojfj"cjmsfycjuju yg>ķjķ>?

;L? Y)$1E1=* \ ∗);1_171C* kfjtork f"gnosfjfj "cjmsfycjuju yg>ķjķ>?

;:? Y)$1E1=* \∃ );1L1:* kg/tork f"gnosfjfj ncērubum tgbcsuju cbuœturuj !o kg/tork f"gnosfjfnoēfœmojborbo yg>ķjķ>?

;7? Y)$1E1=* \ ∃ )_1:171C* kg/tork f"gnosfjfj "cjmsfycjuju yg>ķjķ>?

;C? Y)$1E1=* \ ∗ )_1L171C* f"gnosfjfj "cjmsfycjuju yg>grgm sgnoboœtfrfjf>?

;5? Y)$1E1=*\ ∗ )@1:1C* f"gnosfjfj "cjmsfycjuju yg>grgm sgnoboœtfrfjf>?;? Y)$1E1=* \ ∃ );1L1:17* f"gnosfjfj "cjmsfycjuju yg>grgm sgnoboœtfrfjf>?

_4? Y)$1E1=* \ ∃ )41:17* f"gnosfjfj "cjmsfycjuju yg>grgm sgnoboœtfrfjf>?

_;? Y)/1y* \ )/ķXyķ*?)/Xy* bcdfm oœftbfēfjf sgnoboœtfrfjf>?

__? Y)/1y* \ /?yX/ķyXyķ bcdfm oœftbfēfjf sgnoboœtfrfjf>?

_@? Y)$1E1=1N* \ E?=XE?NX$?=X $?N bcdfm oœftbfēfjf sgnoboœtfrfjf>?

_L? Y)/1y* \ /?y X/?yX/?yX/?y bcdfm oœftbfēfjf sgnoboœtfrfjf>?

_:? Y)$1E* \$?EX$?E bcdfm oœftbfēfjf sgnoboœtfrfjf>?

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Bcdfm Mgpķbgr vo Bcdfm

Novrobor (Bcifh Igtos

Gjn Bcifh Hfrhufts)

EÐBÒK

?

Gkgébgr

  Bcdfm mgpķbgrķ vo bcdfm novroborf tgjķtkgm  

^okob fœbokbor cbgrgm ‑PO‖, ‑POVG‖ vo ‑NOĚļB‖ fœbokborfjf tgjķtķp, tokob fœbokborfioréomboœtfrkom gkgķ!bg m"bbgjķbgj ‑PO‖, ‑POVG‖ vo ‑NOĚļB‖ mgpķbgrķjķj #ok$cbborfjf vofœbovborfjf géķmbgkgm%

 

‑PO‖ mgpķ#ķ fbo ‑NOĚļB‖ mgpķ#ķjķj $frboœko#fjnoj cb"œgj ‑PONOĚļB‖ mgpķ#ķ!bg, ‑POVGNOĚļB‖mgpķ#ķjķj fœbovborfjf tgjķtkgm 

 

‑&'OBPOVG‖ mgpķ#ķ vo ‑&'OBPOVGNOĚļB‖ mgpķbgrķjķj tokob bcdfm mgpķbgr fbo cb"œt"r"bkg#ķjķi(#torkom vo $" mgpķbgrķj fœbovborfjf géķmbgkgm 

 

Bcdfm oœftbfmborfj mgpķ novroborf fbo cb"œt"r"bkg#ķjķ ()rotkom  

Bcdfm novroborfj tg#grķk gœgkgbgrķjķ géķmbgkgm vo (rjom bcdfm novrobor tg#grbgkgm  

^okob bcdfm mgpķbgrķj ‑PONOĚfB‖ vo!g ‑POVGNOĚļB‖ mgpķbgrķ fbo cb"œt"r"bkg#ķ proj#fpborfjfgéķmbgkgm 

 

Bcdfm novroborfj ‑PONOĚļB‖ vo!g ‑POVGNOĚļB‖ mgpķbgrķ fbo cb"œt"r"bkg#ķjķ ()rotkom%

Egœbķmbgr  ‑POVG‖ ļœbokf vo ‑POVG‖ *gpķ#ķ  ‑PO‖ ļœbokf vo ‑PO‖ *gpķ#ķ  ‑NOĚļB‖ ļœbokf vo ‑NOĚļB‖ *gpķ#ķ  ‑PONOĚļB‖ *gpķ#ķ  POVGNOĚļB +-./ *gpķ#ķ  ‑&'OBPOVG‖ *gpķ#ķ  ‑&'OBPOVGNOĚļB‖ *gpķ#ķ  ļmf V(jb< Gjg7tgr +^rgj#kf##fcj 5gto/

  Bcdfm ļ8gnoborfj Bcdfm Obokgjbgrbg 5oréomboœtfrfbko#f vo Bcdfm Novroborfj ^g#grķkķ  Bcdfm ļ8gnoborfj Bcdfm Obokgjbgr ļbo 5oréomboœtfrfbko#f  Bcdfm Novroborfj ^g#grbgjkg#ķ vo Bcdfm Obokgjbgr *"bbgjķbgrgm 5oréomboœtfrfbko#f  Bcdfm *gpķ Ojtoiroborf

^okob Bcdfm Obokgjbgrķj ‑PONOĚļB‖ > ‑POVGNOĚļB‖ *gpķbgrķ ļbo -b"œt"r"bkg#ķ

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  Bcdfm *gpķbgr vo Bcdfm Novrobor ?0

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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 Bcdfm *gpķbgr vo Bcdfm Novrobor 

Ifrfœ

Bcdfm novroborfj oj $g#ft vo tokob obokgjķ bcdfm mgpķbgrnķr +bcif igto#/% Bcdfm no)fœmojborfjno)orborfjf +iorfbfkborf/ ifrfœ cbgrgm m"bbgjgj, ifrfœtoj gbnķ)ķ no)orbor <9orfjno fœbokbor

!gpgrgm bcdfm oœftbf)fj no)orfjo "!i"j no)orbor +iorfbfk/ <rotoj obomtrcjfm novro, ‑ bcdfm mgpķ‖cbgrgm f#fkbojnfrfbfr% ^okob cbgrgm $oœ 8grmbķ !gpķng $"b"jgj mgpķbgr, $g#ft $fr #g!ķ#gbobomtrcjfm novronoj $fbif#g!grg mgngr f7g9bgrķj tokob !gpķ tgœķnķr% 1bfp61bcp, mg!nonff,#g!ķķ, v$% bcdfm novroborf cb"œt"rkgmtg m"bbgjķbgj mgpķbgr4 nfrojé, nf!ct, trgj#f#t(r, 1O^,=-21O^, v$ obomtrcjfm novro obokgjbgrķ m"bbgjķbgrgm !gpķbķrbgr%

;(b<k :‖to 8cjm#f!cj œombfjno f8gno onfboj fœbokbornoj "!i"bgkg fkmgjķ $"b"jgjbgr, bcdfmmgpķbgr fbo ioréomboœtfrfbfrbor% Bcdfm mgpķbgrķj #ok$cbborf, ioréomboœtfrfbnfmborf fœbokbor,nc)r"b"m tg$bcbgrķ vo obomtrfmf oœno)orborf 3omfb L%‖no tcpb" cbgrgm i(r<bkomtonfr% ;"mgpķbgrngj !g!iķj cbgrgm m"bbgjķbgjbgrE PO +GN/, POVG +-./, NOĚļB +-^/, PONOĚļB+GN/, POVGNOĚļB +-./ mgpķbgrķnķr vo $" mgpķbgr ‑tokob bcdfm mgpķbgr‖  cbgrgmf#fkbojnfrfbfr%

Bcdfm mgpķbgrķj m"bbgjķbkg#ķ fbo cb"œt"r"bgj novrobor, ‑bcdfm novrobor‖ cbgrgm gnbgjnķrķbķr%Bcdfm mgpķbgrbg cb"œt"r"bgj novrobor, ‑ncjgjķk‖ cbgrgm tg tgjķkbgjkgmtgnķr% Ncjgjķk torfkffbo iojobno obomtrcjfm, kg)jotfm vo komgjfm novroborfj > $frfkborfj $fr grgng m"bbgjķbkg#ķn"r"k" f8gno onfbkomtonfr%

 ļœbokfj Gnķ Xokecb !gptķ"ķ ļœbok #c"r$b$m %gebc&$ 'bomtrfm&ob 'œno"orf

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Bcdfm *gpķbgr vo Bcdfm Novrobor 

ļœbokfj Gnķ Xokecb !gptķ"ķ ļœbok #c"r$b$m %gebc&$ 'bomtrfm&ob 'œno"orf

8omfb ?>)> Bcdfmto m"bbgjķbgj mgpķ novroborf, !gptķmbgrķ fœbokbor vo obomtrfm#ob oœno)orborf% 

3fknf, 3omfb L%‖no (9otbojoj vo tcpb" cbgrgm vorfboj bcdfm mgpķbgrķj égbķœkg proj#fpborfjffjobo!obfk%

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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 Bcdfm *gpķbgr vo Bcdfm Novrobor 

)> ‑*'!G‖ ļœbokf vo ‑*'!G‖ .gpķ&ķ

POVG +-./ fœbokfjo tg$f t"t"bgj G vo ; no)fœmojborf, 3omfb L%I%$‖no i(r<boj nc)r"b"mtg$bc#" H éķmķœķjngmf fœbokborf ioréomboœtfrfr% ‑POVG‖ fœbokfjfj jcrkgb tcpbgkg fœbokfjnoj

8grmķ4 fmf no)fœmojbf #f#tokno 7or fmf ifrfœfj ‑‖ cbkg#ķ n"r"k"jng éķmķœķj Hcbkg#ķnķr +3omfb L%I%/% ‑4 oœft G vo=g E‖ cbgrgm f8gno onfboj éķmķœ f8gno#fjfj cbkg#ķ féfj,ifrfœbornoj 7or7gjif $frfjfj bcdfm ‑‖ cbkg#ķ !otorbfnfr%

  +g- +e- +2-

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Bcdfm *gpķbgr vo Bcdfm Novrobor 

3omfb L%I%n‖ no ojtoirobor féorf#fjnomf !orboœfk n"r"k" i(r<boj ‑POVG‖ mgpķ#ķ, $frnoj écmifrfœf $"b"jgj vo ifrfœbornoj $frfjfj gmtf8 7gbo iobko#f!bo éķmķœķj gmtf8 cbkg#ķjķj f#tojnf)fojn<#trf!ob mcjtrcb "!i"bgkgbgrķjng m"bbgjķbg$fbfr%

Ðrjom ) 3 ;fr mfk!g#gb fœbok <jfto#fjno ķ#ķjķj $obfrbf $fr #ovf!ojfj <9orfjo éķmkg#ķ vo!g $g#ķjķj $fr bfkftfj gbtķjg n<œko#f n"r"kbgrķjng $fr gbgrk #f#tokfjfj égbķœkg#ķf#tojkomtonfr% 3omfb L%D‖to $(!bo $fr novrojfj $bcm œokg#ķ i(r<bkomtonfr% ;(!bo $fr novrojfjégbķœkg#ķjķ iojob 7gtbgrķ fbo géķmbg!gbķk%

8omfb ?>:> ‑POVG‖ mgpķ#ķjķj $fr gbgrk novro#fjno m"bbgjķbkg#ķ%

3omfb L%D‖no i(r<boj ķ#ķ gmtgrķķ novro, ķ#ķ fbo crgjtķbķ $fr iorfbfk <rotfr +PMGN/% rotfbojiorfbfk fbo ro8orgj# cbgrgm m"bbgjķbgj PM.   no)orf mgrœķbgœtķrķķ novrono mgrœķbgœtķrķbķr%

 crkgbno bcdfm ‑0‖ #ovf!o#fjno cbgj mgrœķbgœtķrķķ novro éķmķœķ, PMGN iorfbfk no)orfjfj PM.  +ķ#ķro8orgj#/ no)orfjnoj $<!<m cbkg#ķ n"r"k"jng bcdfm ‑‖ no)orfjf gbķr% ;oj9or $fr fœbok $g#ķjégmtgrkg novro#f féfjno "!i"bgjķr#g, $g#ķjķj $obfrbojoj bfkftfj gbtķjg n<œko#f n"r"k"jngmgrœķbgœtķrķķ novro éķmķœķ 0‖ngj ‖o no)fœfr%

M#ķ vo!g $g#ķjé fœbokborfjno m"bbgjķbgj mgrœķbgœtķrķķbgrngj $frf#fjfj éķmķœķjķj ‑‖ cbkg#ķn"r"k"jng gbgrk novro#fjfj égbķœkg#ķjķ f#tf!cr#gm, mgrœķbgœtķrķķ novroborfj éķmķœbgrķjķ‑POVG‖ mgpķ#ķjg "!i"bg!grgm f#tonf)fkf9 #cj"" obno ono$fbfrf9% Gbgrk mcœ"bbgrķjngj

 $frf#fjfj ioréomboœko#f n"r"k"jng ‑POVG‖ mgpķ#ķjķj éķmķœķ ‑‖ cbgg)ķjngj, gbgrk novro#fgmtf8 7gbo iobfr% Gbgrk mcœ"bbgrķjķj ng7g 8g9bg cbkg#ķ n"r"k"jng, ng7g 8g9bg ifrfœbf ‑POVG‖mgpķ#ķ m"bbgjķbkg#ķ!bg prc$bok é(9<bo$fbfr%

5frfœborfj gbgg)ķ n"r"kbgrg i(ro éķmķœbgrng cb"œggm no)orbor irg8fm#ob cbgrgm i(#torfbo$fbfr%5frfœbornomf noifœfkborfj $obfrbf 9gkgj nfbfkborfjno fjobojnf)f irg8fm#ob i(#torfkbor,fœbokborfj gjbgœķbkg#ķjg !grnķk onor%

?:

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Gbgrk novro#f

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 Bcdfm *gpķbgr vo Bcdfm Novrobor 

Ðrjom ;3 3omfb L%:‖to vorfboj G vo ; ngbig œomfbborf fmf ifrfœbf ‑POVG‖ mgpķ#ķjg"!i"bgjnķ)ķjng, H éķmķœķjng cb"œggm ngbig œombfjf éf9obfk%

‑POVG‖ mgpķ#ķjng ifrfœbornoj $frf#f ‑‖ cb"jg!g mgngr éķmķœ ‑0‖ cbgrgm mgbķr +t/% 5frfœbornoj

 $frf#f ‑‖ cbgj ‑POVG‖ mgpķ#ķ éķmķœķ ‑‖ cb"r% 5frfœbornoj $frfjfj ‑‖ cbkg#ķ, éķmķœķj ‑‖ cbkg#ķféfj !otorbf cbn")"jngj, ifrfœbornoj !gbjķ9g $frfjfj ‑‖ cbgrgm mgbkg#ķ éķmķœķj ‑‖ cbgrgmnovgk otko#f féfj !otorbf cb"r% ;" n"r"kng t gjķjng ‑‖ n"r"k"jg ioéoj éķmķœ ngbig œombf t:

gjķjg mgngr ‑‖ cbgrgm novgk onor% t:6tL grg#ķjng 7or fmf ifrfœfj ‑0‖ cbkg#ķ jonojf!bo éķmķœ ‑0‖no)orfjf gbķr% tL gjķjngj #cjrg ifrfœbornoj $frfjfj ‑‖ cbkg#ķ jonojf!bo éķmķœ ‑‖ cb"r vo ‑‖cbgrgm novgk onor%

8omfb ?>L> ļmf ifrfœbf ‑POVG‖ mgpķ#ķ (rjom "!i"bgkg#ķ%

Ðrjom : 3 ļmf ifrfœbf POVG mgpķbgrķ m"bbgjgrgm <é ifrfœbf POVG mgpķ#ķ cb"œt"rkgm féfjiorombf $g)bgjtķ!ķ éf9orom, 3omfb L%L‖to vorfboj G, ; vo K ngbig œomfbborf <é ifrfœbf ‑POVG‖mgpķ#ķjg "!i"bgjkg#ķ n"r"k"jng ‑POVG‖ mgpķ#ķ éķmķœķjng cb"œggm ngbig œombfjfi(#torobfk%

ļmf ifrfœbf POVG mgpķbgrķ m"bbgjgrgm <é ifrfœbf POVG mgpķ#ķ cb"œt"r"bg$fbfr +3omfb L%L/% éifrfœbf POVG mgpķ#ķjķj ojtoiro féorf#fjnomf n"r"k" 3omfb L%J‖ ng i(r<bkomtonfr%

é ifrfœbf POVG mgpķ#ķjngmf G, ;, K ifrfœborf 9gkgjg i(ro 3omfb L%C‖nomf if$f no)fœfrmoj,ifrfœbornoj 7or7gjif $frfjfj ‑‖ cbkg#ķ éķmķœķj ‑‖ cbkg#ķjķ #g)bgr% ;" nf!girgkng nfmmgtonfbko#f ioromoj jcmtg, tL  gjķjng G ifrfœfjfj ‖ noj 0‖g ioéormoj, ; ifrfœfjfj 0‖ngj ‖ono)fœko#fnfr% G vo ; ifrfœborf n"r"kbgrķjķ !gmbgœķm g!jķ gjng no)fœtfrnfmborfjnoj vo no)fœfk

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  Bcdfm *gpķbgr vo Bcdfm Novrobor 

 8omfb ?>?> ļmf ifrfœbf POVG mgpķbgrķ fbo <é ifrfœbf POVG mgpķ#ķ cb"œt"r"bkg#ķ%

 

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Ðrjom L> POVG mgpķ#ķjķj égbķœkg#ķjķ +C:DI Ojtoiro#f/, ifrfœbornoj $frf#fjf mcjtrcb ifrfœfcbgrgm m"bbgjkgm #"rotf!bo #fj!gb <rotof vo c#fbg#mcp !grnķkķ!bg fjobo!obfk%

*cjtrcb ifrfœf cbgrgm m"bbgjķbgj ifrfœtomf no)oro i(ro, ‑POVG‖ mgpķ#ķjķj fmfjf ifrfœborfjnoj"!i"bgjgj #fj!gb éķmķœtg obno onfbfr% Wķmķœtg cb"œgj #fj!gb c#fbg#mcp !grnķkķ fbo tgmfp

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 Bcdfm *gpķbgr vo Bcdfm Novrobor 

8omfb ?>H> 2fj!gb <rotof vo c#fbg#mcp fbo ‑POVG‖ mgpķ#ķ "!i"bgkg#ķ%

;> ‑*'‖ ļœbokf vo ‑*'‖ .gpķ&ķ

3omfb L%?%g‖ ngmf #ok$cbbo i(#torfboj ‑PO‖ mgpķ#ķ, 3omfb L%?%$‖ no i(r<boj nc)r"b"mtg$bc#"jngmf fœbokborf ioréomboœtfrfr% ‑PO‖ mgpķ#ķjķj ioréomboœtfrnf)f égrpkg fœbokf, ‑>‖ vo!g‑F‖ fœgrotf fbo i(#torfbfr vo mgpķjķj !gptķ)ķ fœbok HGF; œombfjno tgjķkbgjķr% Wgrpkgfœbokfjf ioréomboœtfroj PO mgpķ#ķjķj ojtoirobor féorf#fjnomf n"r"k" 3omfb L%?%$‖ noi(r<bkomtonfr%

 crkgb égrpkg fœbokfjfj ioréomboœtfrfbnf)f ‑PO‖ fœbokfjno, ifrfœ no)fœmojborfjfj 7or7gjif $frf#fjfj ‑0‖ no)orfjf gbkg#ķ fbo éķmķœ ‑0‖ no)orfjf gbķrmoj, ifrfœborfj 7op#fjfj ‑‖ cbkg#ķn"r"k"jng éķmķœ ‑‖ no)orfjf gbķr% ;" n"r"k fmf ifrfœtoj 8g9bg ifrfœo #g7fp ‑PO‖ mgpķbgrķ féfjno ioéorbfnfr% é ifrfœo #g7fp ‑PO‖ mgpķ#ķjķj éķmķœķ4 H GF;FK œombfjno, n(rt ifrfœo #g7fp‑PO‖ mgpķbgrķj éķmķœķ4 H GF;FKFN œombfjno i(#torfbfr%

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  Bcdfm *gpķbgr vo Bcdfm Novrobor 

 

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ļmf ifrfœbf ‑PO‖ mgpķ#ķjg "!i"bgjgj G vo ; no)fœmojborfjfj n"r"kbgrķjg i(ro cb"œggm éķmķœngbig œombfjf éf9kom, ‑PO‖ mgpķ#ķjķj fœbovfjf gjbgkg!g !grnķk onoomtfr%

Ðrjom ? 3 3omfb L%0‖ng vorfboj ifrfœ ngbig œomfbborfjo i(ro fmf ifrfœbf ‑PO‖ mgpķ#ķ éķmķœ ngbigœombfjf éf9obfk%

Wķmķœ, !gbjķ9g fmf ifrfœfj ‑‖ cbkg#ķ n"r"k"jng ‑‖ cb"r% ;" n"r"kng éķmķœ 7or fmf ifrfœo $g)bķ cbgg)ķjngj4 ; ifrfœfjfj ‑‖ cbn")" gjbgrng éķmķœ G‖!g $g)bķ cbgrgm œomfbbojfrmoj, ;‖jfj‑0‖ cbn")" gjbgrng éķmķœ ‑0‖ no)orfjf gbķr%

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 Bcdfm *gpķbgr vo Bcdfm Novrobor 

 

8omfb ?>)N> ‑PO‖ mgpķ#ķjķj fœbovfjfj (rjom ngbig œomfbborf fbo i(#torfbko#f%

Ðrjom 3 3omfb L%‖ nomf G vo ; #fj!gbborfjfj fmf ifrfœbf PO mgpķ#ķjg "!)"bgjkg#ķn"r"k"jng éķmķœtg cb"œggm ngbig œombfjf éf9obfk%

*gpķ!g "!i"bgjgj ifrfœborfj gbnķ)ķ no)orbor 9gkgjg i(ro noifœfrmoj, 7or fmf ifrfœfj ‑‖

cbkg#ķ n"r"k"jng éķmķœ ‑‖ cb"r% 3omfb L%‖no $" n"r"k tI6tD vo tJ6tC 9gkgj nfbfkborfjnoioréomboœtf)fjnoj, éķmķœ !gbjķ9g $" gjbgrng ‑‖ no)orfjf gbķr%

8omfb ?>))> ļmf ifrfœbf ‑PO‖ mgpķ#ķ "!i"bgkg#ķ%

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  Bcdfm *gpķbgr vo Bcdfm Novrobor 

8omfb ?>);> *gro ngbig #fj!gbfj PO mgpķ#ķ vo c#fbg#mcp fbo f9bojko#f%

Ðrjom H3 ļmf ifrfœbf ‑PO‖ mgpķbgrķ m"bbgjgrgm <é vo n(rt ifrfœbf ‑PO‖ mgpķbgrķ cb"œt"rgbķk%

ļmf ifrfœbf PO mgpķbgrķ fbo <é ifrfœbf vo n(rt ifrfœbf PO mgpķbgrķ cb"œt"rkg œomfbborf 3omfb L%D‖no, <é ifrfœbf PO mgpķbgrķjķj ojtoiro féorf#fjnomf n"r"k" f#o 3omfb L%:‖ no i(r<bkomtonfr%

8omfb ?>):> ļmf ifrfœbf ‑PO‖ mgpķ#ķ m"bbgjgrgm <é vo n(rt ifrfœbf ‑PO‖ mgpķ#ķjķj cb"œt"r"bkg#ķ%

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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 Bcdfm *gpķbgr vo Bcdfm Novrobor 

 

8omfb ?>)L> C: ojtoiro#fjfj g!gm $g)bgjtķ#ķ%

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*gpķ vo pojoro!o $g)bķ gjg7tgrbgrķj cb"œt"rn")" novroborfj ifrfœ cbgrgm m"bbgjķbkg#ķ voéķmķœg #frojfj $g)bgjkg#ķ fbo 3omfb L%L‖nomf novro cb"œ"r% -b"œgj novrono éķmķœ, !gbjķ9g fmfifrfœfj ‑‖ cbkg#ķ n"r"k"jng ‑‖ cb"r% ;" n"r"kng éķmķœ 7or fmf ifrfœo $g)bķ cbgg)ķjngj4 7orfmf gjg7tgrķj +mgpķ vo pojorojfj/ mgpgbķ cbkg#ķ n"r"k"jng éķmķœ ‑‖ cb"r vo gbgrk égbķœķr%

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  Bcdfm *gpķbgr vo Bcdfm Novrobor 

:> ‑#'OļB‖ ļœbokf vo ‑#'OļB‖ .gpķ&ķ

‑NOĚļB‖ fœbokf4 ‑PO‖, ‑POVG‖ fœbokborfjnoj 8grmbķ cbgrgm tom ifrfœ vo tom no)fœmoj fboioréomboœtfrfbfr% &rjo)fj4 G no)fœmojf fbo fœbok !gpķbggm#g, ‑-^‖ fœbokf #cj"" HGA

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 Bcdfm *gpķbgr vo Bcdfm Novrobor 

8omfb )>  ļmf 8g9bķ éķmķœg #g7fp novrojfj ‑NOĚļB‖ mgpķ#ķ fbo ioréomboœtfrfbko#f%L> ‑*'#'OļB‖ .gpķ&ķ

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8omfb ?>)H> ‑PONOĚļB‖ mgpķ#ķ #ok$cb<, ‑PoNo)fb‖ oœno)orf, nc)r"b"m tg$bc#", obomtrfm#ob oœno)orfvo ojtoirobor féorf#fjnomf n"r"k"%

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  Bcdfm *gpķbgr vo Bcdfm Novrobor 

Ðrjom )) 3 3omfb L%?‖ng vorfboj G vo ; ngbig œomfbborfjfj fmf ifrfœbf ‑PONOĚļB‖ mgpķ#ķjg"!i"bgjkg#ķ n"r"k"jng cb"œggm éķmķœ ngbig œombfjf éf9obfk%

8omfb ?>)(> ļmf ifrfœbf ‑PONOĚļB‖ mgpķ#ķ "!i"bgkg#ķ%

Wķmķœ ngbig œombf $frmgé !cbbg éf9fbo$fbfrE ļbm !(jtok cbgrgm4 (jo PO mgpķ#ķjķj éķmķœķ éf9fbfpng7g #cjrg $"j"j tor#f gbķjg$fbfr% ļmfjf $fr !(jtok cbgrgm4 ‑PONOĚļB‖ mgpķ#ķjng, !gbjķ9g7or fmf ifrfœfj ‑‖cbkg#ķ n"r"k"jng éķmķœ ‑0‖ cbgg)ķjngj, $" n"r"kbgr to#pft onfbfp éķmķœ ‑0‖cbgrgm éf9fbfr% ;" n"r"k 7grffjnomf n"r"kbgrng éķmķœ ‑‖ cbgg)ķjngj, éķmķœ œombf ‑‖ cbgrgm

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 Bcdfm *gpķbgr vo Bcdfm Novrobor 

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E‖jfj no"fbf‖ nf!o cm"j"r%

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> ‑Ð1'B*'!G‖ .gpķ&ķ +'675 IG%'-

3omfb L%II%g‖ ng #ok$cb< i(9<moj ‑&'OBPOVG‖ mgpķ#ķjng, fmf ifrfœ vo $fr gnot éķmķœ $"b"j"r% ;" mgpķng, nc)r"b"m tg$bc#"jng i(r<boo)f <9oro ifrfœ no)fœmojborfjfj $fr$frfjfjg!jķ#ķ cbn")" n"r"kbgrng éķmķœ ‑0‖, ifrfœ no)fœmojborfjfj n"r"kbgrķjķj 8grmbķ cbn")"n"r"kbgrng f#o éķmķœ ‑‖ cb"r +3omfb L%II%$/%

‑&'OBPOVG‖  mgpķ#ķjķj éķmķœķ HG⊟; vo!g HG;A GA; œombfjno !g9ķbg$fbfr%‑&'OBPOVG‖ mgpķ#ķ, !gptķ)ķ fœbok ro8orgj# gbķjgrgm ‑@grmbķbķm mgpķ&ķ‖ cbgrgm tg tgjķkbgjķr%‑&'OB POVG‖ mgpķ#ķjg #g7fp ojtoiroborfj œokgbgrķ 3omfb L%II‖ no i(r<bkomtonfr%

é vo!g n(rt ifrfœbf ‑&'OBPOVG‖ mgpķbgrķ, fmf ifrfœbf ‑&'OBPOVG‖ mgpķbgrķ m"bbgjķbgrgmcb"œt"r"bg$fbfr +3omfb L%ID/% é vo!g n(rt ifrfœbf ‑&'OBPOVG‖ mgpķ#ķjng, ifrfœbornomf ‑‖

no)orborfjfj #g!ķ#ķ tom f#o éķmķœ ‑‖ cb"rmoj, ifrfœbornomf ‑‖ no)orborfjfj #g!ķ#ķ éf8t f#o éķmķœ‑0‖ cb"r%

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Bcdfm *gpķbgr vo Bcdfm Novrobor 

  +g- +e- +2-

 

+n-

8omfb ?>;;>  ‑&'OBPOVG‖ mgpķ#ķ #ok$cb<, nc)r"b"m tg$bc#", obomtrfm#ob oœno)orf vo ojtoiroféorf#fjnomf n"r"k"%

8omfb ?>;:> ļmf ifrfœbf ‑&'OBPOVG‖ mgpķbgrķ m"bbgjķbgrgm, <é vo n(rt ifrfœbf ‑&'OBPOVG‖ mgpķbgrķjķjcb"œt"r"bkg#ķ%

Ðrjom ): 3  ‑&'OB POVG‖ mgpķ#ķjķ ‑PO‖, ‑POVG‖, vo ‑NOĚļB‖ mgpķbgrķ m"bbgjgrgmcb"œt"rgbķk%

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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 Bcdfm *gpķbgr vo Bcdfm Novrobor 

‑&'OB POVG‖ mgpķ#ķ fbo 8G%;ķ Gķ%; fœbokf ioréomboœtfrfbnf)fjnoj, iorombf oœftbf)f#g)bg!ggm novrojfj éf9fbko#f fbo 3omfb L%I:‖ nomf bcdfm $g)bgjtķ cb"œ"r%

 

8omfb ?>;L 3 ‑&'OB POVG‖ mgpķ#ķjķj ‑PO6POVG6NOĚļB‖ mgpķbgrķ fbo cb"œt"r"bkg#ķ%

> ‑Ð1'B*'!G#'OļB‖ .gpķ&ķ +'6,75 IG%'-

Vgbjķ9g fmf ifrfœ vo $fr éķmķœg #g7fp cbgj ‑&'OBPOVGNOĚļB‖ mgpķ#ķjng4 ifrfœ

no)fœmojborfjfj g!jķ no)orf gbkg#ķ n"r"k"jng éķmķœ bcdfm ‑‖, ifrfœ no)fœmojborfjfj 8grmbķno)orborf gbkg#ķ n"r"k"jng f#o éķmķœ bcdfm ‑0‖ no)orfjf gbķr +3omfb L%IL%g/% ;" fœbok ro8orgj#gbķjgrgm ‑&'OBPOVGNOĚļB‖ mgpķ#ķ, ‑oœftbfm mgpķ&ķ‖ cbgrgm gnbgjnķrķbķr%

 

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Bcdfm *gpķbgr vo Bcdfm Novrobor 

œombfjno !g9ķbg$fbfr +3omfb L%IL%$/% 3omfb L%IL%o‖ no ‑&'OB POVG‖ mgpķ#ķjķj ojtoiro novroféorf#fjnomf n"r"k" i(r<bkomtonfr%

 

+n/

8omfb ?>;> C:DL ojtoiro#fjfj fé !gpķ#ķ vo ‑&'OBPOVG > &'OBPOVGNOĚļB‖ mgpķ#ķ cbgrgm m"bbgjķkķ%

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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 Bcdfm *gpķbgr vo Bcdfm Novrobor 

C:DL ojtoiro#f, <é ifrfœbf ‑&'OBPOVG‖ mgpķ#ķ cbgrgm vo!g mcjtrcb ifrfœf fbo ‑&'OBPOVG >&'OBPOVGNOĚļB‖ mgpķ#ķ cbgrgm œomfbbojnfrfbo$fboom !gpķ!g #g7fp $fr ojtoironfr +3omfbL%IJ%g/%

C:DL ojtoiro#fjno $"b"jgj , I vo : jcb" pfjbor ‑&'OBPOVG‖ mgpķ#ķ ifrfœborf cbgrgmm"bbgjķbķr#g4 ojtoiro <é ifrfœbf mgpķ cbgrgm égbķœķr% G!jķ œomfbno, :, L vo J jcb" pfjborfj ifrfœcbgrgm m"bbgjķbkg#ķ fbo nf)or <é ifrfœbf ‑&'OBPOVG‖ mgpķ#ķ obno onfbfr% ;"j"jbg $org$or,C:DL ojtoiro#fjfj iojob m"bbgjķk œombf4 : vo I jcb" pfjborfj mcjtrcb ifrfœborf cbgrgmm"bbgjķbkg#ķ vo $" mcjtrcb ifrfœborf fbo ojtoirojfj fœbovfjfj ‑&'OBPOVG‖ mgpķ#ķ vo!g‑&'OBPOVGNOĚļB‖ mgpķ#ķ cbgrgm œomfbbojnfrfbko#fnfr%

: jcb" ifrfœfj mcjtrcb ifrfœf cbgrgm m"bbgjķbkg#ķ vo bcdfm ‑0‖ no)orfjfj "!i"bgjkg#ķn"r"k"jng4 vo I jcb" ifrfœborfj 8grmbķ cbkg#ķ fbo éķmķœ ‑‖ no)orfjf gbķr% ;" n"r"kngojtoiro, ‑&'OBPOVG‖ mgpķ#ķ cbgrgm fœbov i(r<r +3omfb L%IJ%$/% : jcb" ifrfœ mcjtrcb ifrfœfcbgrgm m"bbgjķbķr vo bcdfm ‑‖ "!i"bgjķr#g4 ifrfœborfj g!jķ cbkg#ķ n"r"k"jng éķmķœ ‑‖ cb"r voojtoiro ‑&'OBPOVGNOĚļB‖ mgpķ#ķ cbgrgm égbķœķr +3omfb L%IJ%/%

Ðrjom )L 3  ‑&'OB POVG NOĚļB‖ mgpķ#ķjķ, ‑PO6POVG6NOĚļB‖ mgpķbgrķ m"bbgjgrgmcb"œt"rgbķk%

‑&'OB POVG NOĚļB‖ mgpķ#ķ fbo 8G%; G ķ%;ķ  fœbokf ioréomboœtfrfbnf)fjnoj, fbifbf oœftbf)f#g)bg!ggm novrojfj cb"œt"r"bkg#ķ fbo 3omfb L%IJ%n‖nomf bcdfm novro cb"œ"r%

H> ļmf !jb GjgAtgr +%rgj&kf&&fcj Igto-

ļmf !(jb< gjg7tgr4 bcdfm 8cjm#f!cjbgrķ ioréomboœtfrkono m"bbgjķbkg#gng, bcdfm tg#grķkbgrngmcjtrcb fœbokborfjno m"bbgjķbgj vo $" jonojbo fjobojko#f iorombf cbgj bcdfm obokgjnķr%

*cjtrcb ifrfœborf gnķ vorfboj ifrfœborfj mcj"kbgrķjg i(ro ifrfœ fœgrotfjf éķmķœg gmtgrgj vo!ggmtgrkg!gj fmf !(jb< gjg7tgrng4 fmf mcjtrcb ifrfœf, $fr #fj!gb ifrfœ vo $fr #fj!gb éķmķœķ cbkgm

<9oro n(rt $g)bgjtķ "" $"b"jkgmtgnķr +3omfb L%IC%g/%ļmf !(jb< gjg7tgrng, mcjtrcb ifrfœborf cbgrgm gnbgjnķrķbgj K vo K  ifrfœborfjfj "!i"j n"r"kngcbkg#ķ fbo4 $fbif X fbo V grg#ķjng 7or7gjif $fr !(jno fbotfbfr% K vo K mcjtrcb ifrfœborf "!i"jn"r"kng no)fb#o, #fj!gb fbotfkf cbkg9 +3omfb L%IC%n/% ;fbif +#fj!gb/ fbotfkfjfj cb"œt")" n"r"kmgpgbķ $fr gjg7tgr fbo i(#torfbfrmoj, $fbif fbotfkfjfj cbkgnķ)ķ n"r"k géķm gjg7tgr fbo i(#torfbfr+œomfb /% ļmf !(jb< gjg7tgrķj égbķœkg#ķ, 3omfb L%IC%8%‖ nomf if$f bcdfm $g)bgjtķ fbo géķmbgjg$fbfr%*cjtrcb ifrfœborf ‑NOĚļB‖ mgpķ#ķ fbo $fr$frfjo $g)bķnķr vo $fr$frfjfj tor#f no)or cbgrgmégbķœķrbgr%

ļmf !(jb< gjg7tgrķj égbķœkg#ķjķ 3omfb L%II%o‖ no vorfboj obomtrfm#ob oœno)orf <9orfjnofjobor#om4 mcjtrcb ifrfœborfjnoj G0 vo ; f#o N nf!ct" tor# pcbgrkg cbgg)ķjngj r(boojordfbojko9 vo gjg7tgr ↕I mcj"k"jng mgbgrgm ifrfœ #fj!gbf éķmķœg gmtgrķbķr% G vo ;0

cbkg#ķ n"r"k"jng N nf!ct" nc)r" !(jno ojordfbojoo)fjnoj r(bo éomor, gjg7tgr ↕Dmcj"k"j" gbķr vo ifrfœ #fj!gbf éķmķœg gmtgrķbkg9% ;" n"r"kng fmf !(jb< gjg7tgrķj

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Bcdfm *gpķbgr vo Bcdfm Novrobor 

égbķœkg#ķjķ4 G0 fmoj ifrfœ #fj!gbf éķmķœg gmtgrķbķrmoj, G cbkg#ķ n"r"k"jng ifrfœ #fj!gbféķmķœg gmtgrķbkg9 œombfjno (9otbo!o$fbfrf9%

  +g- .bg&fm &okecb +2- #c"r$b$m tgebc&$ o- 'bomtrfm&ob oœno"orf

  +e- <''' &okecb +n- GjgAtgr oœno"orf +@- Bcdfm oœno"orf

8omfb ?>;> ļmf !(jb< gjg7tgrķj #ok$cb<, nc)r"b"m tg$bc#" vo obomtrfm#ob oœno)orf%

;"rg!g mgngr géķmbgjgj t<k bcdfm mgpķbgrķj, Gvr"pg #tgjngrtbgrķjg i(ro cb"œt"r"bgj#ok$cbborf !gjķjng Gkorfmg MOOO tgrg8ķjngj iobfœtfrfboj #ok$cbborf no m"bbgjķbkgmtgnķr%ļœbovborf tgkgkoj g!jķ cbgj mgpķbgrķj tom 8grmķ mgpķbgrķj 8grmbķ #ok$cbborbo f8gno onfbkoborfnfr+3omfb L%IU/%

(> Bcdfm ļ@gnoborfj Bcdfm 'bokgjbgrbg Ioréomboœtfrfbko&f vo Bcdfm #ovroborfj %g&grķkķ

Ng7g (jomf $(b<kborno $g7#onfbnf)f <9oro ‑0‖ vo ‑‖ fœgrotf fbo égbķœgj novroboro ‑bcdfmnovrobor‖ vo!g ‑nfdftgb &f&tokbor‖ nojfr% ;fbif#g!grbgr, oj f!f $fbfjoj nfdftgb #f#tokbornfr%Nfdftgb #f#tokboro (rjom cbgrgm4 nfdftgb tobo8cj #gjtrgbborf, nfdftgb vcbtkotrobor, 8romgj##g!ķķbgr, trg8fm #fj!gbborf, 7o#gp kgmfjoborf, vfnoc c!"jbgrķ, ctckc$fb mcjtrcb #f#tokborf,#fj!gb <rotoéborf vo nfdftgb c#fbc#mcpbgr i(#torfbo$fbfr%

Bcdfm f8gnoborf obokgjbgr fbo ioréomboœtfrkom, nfdftgb #f#tokborf cb"œt"rkgm vo fmfbf fœgrotborffœbokom féfj tokob bcdfm novro obokgjbgrķ +bcdfm mgpķbgr/ m"bbgjķbķr% ^okob bcdfm novroobokgjbgrķ grg#ķjngmf otmfboœfkboro ‑bcdfm eg"bgjtķbgr‖  nojfr% Bcdfm $g)bgjtķbgrķj

ioréomboœtfrfbo$fbkoborf féfj, cb"œt"r"bkgm f#tojoj $g)bgjtķjķj bcdfm 8cjm#f!cjbgr œombfjnof8gno onfbko#f ioromfr% Bcdfm oœftbfm +8cjm#f!cj/ cbgrgm f#fkbojnfrfboj $" f8gno, !gpķbkg#ķiorombf fœbokborf géķmbgr%

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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 Bcdfm *gpķbgr vo Bcdfm Novrobor 

.bg&fm Bcdfm .gpķ Xokecbborf <'''FG,X< Bcdfm .gpķ Xokecbborf

8omfb ?>;H> Bcdfm mgpķbgrķj Gvr"pg #tgjngrtbgrķ vo MOOO #tgjngrtbgrķ%

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_Y+‖o oœft vo!g ng7g $<!<m/ fœgrotf, ifrfœbornoj $frf vo!g ng7g8g9bg#ķ bcdfm cbn")" 9gkgj éķmķœķj ‑‖ cbgg)ķjķ i(#torkom féfjm"bbgjķbķr%

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Wķmķœķjg tor#bo!ff !orboœtfrfbkfœ POVG fœgrotf +POVGNOĚļB/

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Wķmķœķjg tor#bo!ff !orboœtfrfbkfœ &'OBPOVGNOĚļB *gpķ#ķ#ok$cb<% 5frfœbornoj fmf#fjfj g!jķ cbn")" n"r"kng éķmķœķj Bcdfm ‑‖cbgg)ķjķ i(#torfr%

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  Bcdfm *gpķbgr vo Bcdfm Novrobor 

(>)> Bcdfm ļ@gnoborfj Bcdfm 'bokgjbgr ļbo Ioréomboœtfrfbko&f

Bcdfm f8gnoborno, bcdfm novroborno vo nc)r"b"m tg$bcbgrķjng ifrfœ mgrgmtorborf vo!g ifrfœno)fœmojborf G,;,K%% fbo i(#torfbfrmoj, éķmķœ fœgrotborf vo!g no)fœmojborf H,X,%%% fbo tok#fb

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8omfb ?>;(> Bcdfm novro $bcm œokg#ķ%

Ðrjom )? 3 1G;;AK bcdfm f8gno#fjf ioréomboœtfroom novro!f bcdfm mgpķbgr fbo cb"œt"rgbķk%

Porfboj oœftbfmtomf fœbokborfj ioréomboœtfrfbko#fjo, égrpkg fœbokf fbo $gœbgjķr% Gjgm égrpķbgjno)fœmojbornoj ‑NOĚļB‖ cbgj vgr#g, (jo ‑NOĚļB‖ mgpķ#ķ m"bbgjķbgrgm $" fœbokioréomboœtfrfbfr% Wgrpkg fœbokf ‑PO‖ mgpķ#ķ fbo ioréomboœtfrfbo$fboo)fjnoj, égrpķbggm f8gnobor‑PO‖ mgpķ#ķjg "!i"bgjķr +3omfb L%D0/%

 

8omfb ?>:N> G;;AK f8gno#fjfj bcdfm mgpķbgrbg cb"œt"r"bkg#ķ%

Porfboj bcdfm f8gnonomf égrpkg fœbokborfjfj ioréomboœtfrfbko#f fbo bcdfm mgpķ éķmķœbgrķjng obnoonfboj f8gnobor, tcpbgkg fœbokfjo tg$f t"t"b"r% ^cpbgkg fœbokf ‑POVG‖ mgpķ#ķ fboioréomboœtfrfbnf)f féfj, f8gnobor ‑POVG‖ mgpķ#ķjg "!i"bgjķr% -b"œgj bcdfm novrojfj éķmķœķjngvorfboj bcdfm f8gno obno onfbfr%

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égrpkg fœbokborf !gpķbķr% ;" fœbokbor ng7g #cjrg tcpbgkg fœbokfjf ioréomboœtfroom POVGmgpķ#ķ fbo $frboœtfrfbfr +3omfb L%D/%

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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 Bcdfm *gpķbgr vo Bcdfm Novrobor 

8omfb ?>:)> 1G;K GA;KA bcdfm f8gno#fjfj tokob mgpķ novroborf fbo ioréomboœtfrfbko#f%

Ðrjom ) 3 1 GA; GKG;AK bcdfm f8gno#fjf mgpķ novroborf fbo ioréomboœtfrobfk%

Porfboj f8gnono n(rt gnot kfjtork f8gno#fjfj tcpbgjkg#ķ ioromtf)fjnoj, tcpbgkg fœbokborfn(rt ifrfœbf ‑POVG‖ mgpķ#ķ m"bbgjķbkg#ķ vo!g ng7g g9 #g!ķng ifrfœbf ‑POVG‖ mgpķbgrķjķj

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Bcdfm *gpķbgr vo Bcdfm Novrobor 

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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 Bcdfm *gpķbgr vo Bcdfm Novrobor 

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Bcdfm *gpķbgr vo Bcdfm Novrobor 

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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 Bcdfm *gpķbgr vo Bcdfm Novrobor 

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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 Bcdfm *gpķbgr vo Bcdfm Novrobor 

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  Bcdfm *gpķbgr vo Bcdfm Novrobor 

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 Bcdfm *gpķbgr vo Bcdfm Novrobor 

 

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 Bcdfm *gpķbgr vo Bcdfm Novrobor 

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Bcdfm *gpķbgr vo Bcdfm Novrobor 

Ðrjom :; 3 é $ftbfm cmtgb $fr mcn féfj éf8t pgrft! éķmķœķ voroj $fr novro!f tg#grbg!grgmPOVGNOĚļB mgpķbgrķ!bg ioréomboœtfrobfk%

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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 Bcdfm *gpķbgr vo Bcdfm Novrobor 

%omrgrbgkg vo gbķœkg Xcr$bgrķ

% ^okob bcdfm mgpķbgrķj f#fkborfjf vo #ok$cbborfjf #ķrgbg!ķjķ9%

I% ^okob bcdfm mgpķbgrķj nc)r"b"m tg$bcbgrķjķ cb"œt"r"j"9%D% D ifrfœbf ‑POVG‖ mgpķ#ķjķj #ok$cb<j< vo obomtrfm#ob oœ no)orfjf éf9fjf9%

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Bcdfm *gpķbgr vo Bcdfm Novrobor 

% ‑POVGNOĚļB‖ mgpķ#ķ #ok$cb<j<, nc)r"b"m tg$bc#"j" vo obomtrfm#ob oœno)orfjf éf9fjf9%

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J% ļmf !(jb< gjg7tgrķj #ok$cb<j< obomtrfm#ob oœ no)orfjf vo nc)r"b"m tg$bc#"j" éf9fjf9%

C% Bcdfm novro!f tgrf8 onfjf9%

U% Bcdfm $g)bgjtķbgrķ tgjķkbg!ķjķ9%

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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 Bcdfm *gpķbgr vo Bcdfm Novrobor 

IL% é ifrfœbf $fr #f#tokno, ifrfœborfj oj g9 fmf#fjfj ‑0‖ cbkg#ķ n"r"k"jng éķmķœķjng ‑‖<rotoom novro!f tg#grbg!ķjķ9%

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  Bcdfm *gpķbgr vo Bcdfm Novrobor DI

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Mgrjguia (Mgrjc)Agrftgbgrķ

(Mgrjguia Kgps)

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0

Gkgébgr

 

Bcdfm oœftbfmborfj sgnoboœtfrfbkosfjno mubbgjķbgj ‑Mgrjguia Agrftgsķ‖ yðjtokfjfj tgjķtķbkgsķ

 

ļmf-òé-nðrt noēfœmojbf ‑Mgrjguia Agrftgbgrķjķj‖ aòroborfj gjbgkbgrķjķj géķmbgjkgsķ

 

!cērubum tg"bcbgrķjngj obno onfboj ‑kfjtorfk‖ #oyg ‑kgmtorfk‖ torfkborfjfj ‑Mgrjguia

Agrftgbgrķjg‖ tgœķjkgsķ

 

$grm otkoyoj nurukbgrķj ‑Mgrjguia Agrftgbgrķjng‖ f%gno œombfjfj iðstorfbkosf

 

Bcdfm no#roborfj tgsgrķkķjng ‑Mgrjguia Agrftgbgrķjķj‖ mubbgjķkķjķj ðērotfbkosf

Egœbķmbgr

• ļmf& 'é #o !ðrt !oēfœmojbf Mgrjguia Agrftgbgrķ

• Mgrjguia Agrftgbgrķjngmf Aòroborfj (ru)bgjnķrķbkgsķ #o (ru)bgrngj *œftbfmborfj +g,ķbkgsķ

• Mgrjguia Agrftgsķ Mubbgjgrgm ccbogj *œftbfmborfjfj .gnoboœtfrfbkosf

• oœ #o /btķ !oēfœmojbf Mgrjguia Agrftgbgrķ

• $grmotkoyoj !urukbu <!cj‖t 7gro‖bf5 Bcdfm *œftbfmbor 

• Mgrjguia Agrftgsķ +grnķkķ fbo Bcdfm !o#roborfj 8gsgrķkķ

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Mgrjguia Agrftgbgrķ>?0

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Mgrjguia Agrftgbgrķ

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!o#ro tgsgrķkķjng bcdfm oœftbfmborf cbuœturkgm #oyg cbuœturubgj bcdfm oœftbfmborf irg%fmsobcbgrgm sgnoboœtfrkom féfj ygyiķj cbgrgm mubbgjķbgj yðjtokbor9 ‑Mgrjguia Agrftgsķ‖<Mgrjguia 1g)s5 #o ‑Wufjo-K!busmo"‖ yðjtokborfnfr6 u "ðbòkno Mgrjguia agrftgsķyðjtokfjf géķmbgyggēķ,6

‑Mgrjguia agrftgsķ‖ <Mgrjc éf,obiosf5& sgnoboœtfrfboom oœftbfēfj "òtòj noēorborfjf sķrgbgkgmféfj mubbgjķbgj& oœftbfēfj gbg"fbooēf oj "gsft <sgno5 œombf féoroj& aòroborfj cbuœturnuēu "fryðjtoknfr6 (frfœ noēfœmojborfjfj sgyķsķ grtķmég f%gnoborfj sgnoboœtfrfbkosfjfj ,crbgœtķēķ "u

yðjtok& ifrfœ noēfœmojborf sgyķsķjķj 4‖yg mgngr cbnuēu nurukbgrng fyf "fr scjué #orfr6(ojobno mubbgjķbgj9 =& ? #o 0 ifrfœ noēfœmojbf Mgrjguia agrftgbgrķnķr <éf,obioborfnfr56

#omfb 0$%$ Mgrjguia agrftgsķjng aòroborfj cbuœturubkgsķ6 

Aòroborfj mubbgjķbnķēķ "u yðjtokno& aor aòro "fr noēor f%gno onor6 fr éf,obionomf aòrosgyķsķ =j  f%gnosfybo "ubujur <j2noēfœmoj sgyķsķ56 u nurukng fmf noēfœmojbf "fr sfstoknoaòro sgyķsķ ==20& òé noēfœmojbf "fr sfstokno aòro sgyķsķ =?2; cbur6

Mgrjguia agrftgsķ cbuœturuburmoj crtgyg éķmgj nòœoy ncērubtung "ubujgj aòroboro ‑m&b&j'o"g s(tuj‖& ygtgy ncērubtung "ubujgjbgrg ‑sgtķr‖ fskf #orfbfr <:omfb 46>56

%$ )mf* Òé 'o +,rt +ofœmojbf Mgrjguia Agrftgbgrķ 

Mgrjguia agrftgsķjngmf aòro sgyķsķjķj =j <j 2 noēfœmoj sgyķsķ5 %crkòbòybo "obfrbojkosfjonojf fbo& fmf noēfœmojbf Mgrjguia agrftgsķ ==20 aòro féorfr6 Aòroborfj aor "frfsf& ncērubumtg"bcsujng "ubujgj mck"fjgsycjbgrngj <ðrjoēfj kfjtorkbornoj5 "frfsfjo mgrœķbķm iobfr6

Aòroborfj f%gno ottfmborf kfjtork noēorborf "obfrbf "fr sfstokgtfēo iðro "obfrbojfr <:omfb 46=56

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Mgrjguia Agrftgbgrķ

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#omfb 0$8$ ļmf noēfœmojbf Mgrjguia agrftgsķjng aòroborfj gjbgkbgrķ6

Mgrjguia agrftgsķjķj scb òs mðœosf :omfb 46=‖nomf if"f oēfm "fr œomfbno éf,fborom& "gēķksķ,noēfœmojborfj fsfkborf cbgj /&&7&666#"6 agr%bor yg,ķbķr6 !oēfœmojborfj gbg"fbooēf noēorbor <3#oyg >5 sķrgsķybg yg,ķbķrsg& :omfb 46=6g‖ngmf nuruk cbuœur6 !oēfœmoj cbgrgm / #o mubbgjķbķrsg9 mcbcjbgrng /23 #oyg /2>& sgtķrbgrng 23 #oyg 2> noēorborf toksfb onfbfr6 umg"ubboro iðro aòroboro toksfb ottfmborf mck"fjgsycjbgr yg,ķbķrsg& :omfb 46=6"‖nomf f%gnoborobno onfbfr6

ļmf noēfœmojbf ncērubum tg"bcsujngmf aòroborno cbuœgj mck"fjgsycjbgrķj mgrœķbķmbgrķ cbgjcjbu #o fmfbf noēorborfj aòroborfj féorfsfjo yorboœtfrfbkosf fbo& :omfb 46=6‖nomf aòronoēorborf cbuœur6

#omfb 0$.$ 'é noēorbf Mgrjguia agrftgsķjng aòroborfj cbuœturubkgsķ6

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Mgrjguia Agrftgbgrķ

/yjķ )rojsf)boro uyubgrgm cbuœturubggm òé noēfœmojo sgaf) Mgrjguia agrftgsķjng =?2; aòro "ubujur #o fmf %grmbķ yorboœtfrko nuruku crtgyg éķmgr6 :omfb 46?‖no iðstorfboj aor fmfyorboœtfrko œombfno ncērunur #o ngag scjrgmf gœgkgbgrng aor fmf tg"bcngj obno onfboomscjué gyjķ cbur6

!ðrt noēfœmojbf Mgrjguia agrftgsķjng =02>4 aòro "ubujur6 !oēfœmojborfj fmfsf ygtgy& fmfsfnfmoy omsojno "obfrtfbfr6 !ðrt noēfœmojbf Mgrjguia agrftgsķjng cbuœgj aòrobor& aòroborfjtoksfb ottfmborf fmfbf mck"fjgsycjbgr #o aor aòrojfj cjbu mgrœķbķēķ :omfb 460‖noiðròbkomtonfr6

#omfb 0$$ !ðrt noēfœmojbf ncērubum tg"bcsu #o Mgrjguia agrftgsķjg yorboœtfrfbkosf6

Mgrjguia agrftgsķjngmf aòroborfj f%gno ottfmborf gjbgkbgrķ "obfrbonfmtoj scjrg yg)ķbkgsķiorombf fœbok& ncērubum tg"bcsujngmf "fbifborfj Mgrjguia agrftgsķjg gmtgrķbkgsķnķr6 fbifborfjgmtgrķbkgsķ fœbokfjno& ncērubum tg"bcsujng éķmķœķj ‑>‖ cbnuēu nurukbgr Mgrjguiaagrftgsķjngmf aòroboro tgœķjķr6 8gœķjkg fœbokf& ncērubum tg"bcsujng éķmķœķj ‑>‖ cbnuēumck"fjgsycjbgrķ toksfb onoj aòroboro ‑>‖ noēorfjfj yg,ķbkgsķ œombfjno yg)ķbķr <:omfb 46G56

.cjuébgrķ ‑3‖ cbgj f%gnobor "fr scjrgmf fœbok gœgkgsķ cbgj iru)bgjnķrkgng ið, ðjòjno "ubujnurubkgnķēķ féfj& éf,obioyo yg,kgyg iorom ycmtur6

'é noēfœmojbf fœbokborno no ncērubum tg"bcbgrķjngmf ‑>‖ noēorborf Mgrjguia agrftgbgrķjngtoksfb onfbnfmborf aòroboro tgœķjķrbgr <:omfb 46456 Mgrjguia agrftgsķjķj nķœķjng iru) fœgrotf fbo

 "obfrtfboj #o noēfœmojbor fbo iðstorfboj sgtķr #o sòtujbgr9 fbifbf noēfœmojfj ‑>‖ cbgrgm toksfb

onfbnfēf sgtķrbgrķ #oyg sòtujbgrķ iðstorkomtonfr6

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Mgrjguia Agrftgbgrķ

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#omfb 0$/$ !cērubum tg"bcsujngmf noēorborfj Mgrjguia agrftgsķjngmf aòroboro tgœķjkgsķ6

#omfb 0$0$ 'é noēfœmojbf ncērubum tg"bcsujngmf noēorborfj Mgrjguia agrftgsķjg tgœķjkgsķ6

8$ Mgrjguia Agrftgbgrķj6gmf A(roborfj Iru4bgj6ķrķbkgsķ 'o Iru4bgr6gj =œftbfmborfj2g;ķbkgsķ

!cērubum tg"bcsujngmf noēorborfj Mgrjguia agrftgbgrķjngmf aòroboro tgœķjkgsķjngj scjrgiru)bgjnķrkg yg)ķbķr6 +gj ygjg #oyg gbt gbtg "ubujgj aòrobornomf ‑>‖ sgyķbgrķjķj agbmgféorfsfjo gbķjkgsķ fœbokfjo& ‑iru4bgj6ķrkg‖  nojfr6 (ru)bgjnķrkgng #o bcdfm f%gnoborfjcbuœturubkgsķjng tgmf) onfboom sķrg #o nfmmgt onfboom murgbbgr gœgēķngmf if"f ð,otbojo"fbfrE

f-+gj ygjg #oyg gbt gbtg "ubujgj "fr& fmf #oyg fmfjfj mu##otf sgyķngmf aòroboriru)bgjnķrķbg"fbfr6 <=32>& =>2=& ==20& =?2;& =02>4&HH56

ff- Aor "fr iru"g %grmbķ "fr fsfk #orfbfr6

fff- Aoragjif "fr iru"g ifrkfœ cbgj ‑>‖& "gœmg "fr iru"g ifro"fbfr6 u fœbok scjuujngag mķsgbkgsķjg ygrnķkķ cbur <:omfb 46N56

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Mgrjguia Agrftgbgrķ

 

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Mgrjguia Agrftgbgrķ

f#-Mgrjguia éf,obiosfjf sgēg scbg #oyg yumgrķ gœgēķ "òmoom cbursgm& éf,obiosfbfjnfrfm "fr œombo nðjòœo"fbfr6 u nurukng éf,obiojfj gbt #o òst aòroborfjno "ubujgj #oyg

 "gœtg #o scjngmf aòroborno cbgj > noēorborf "ftfœfm sgyķbg"fbooēfjnoj iru)bgjnķrkgyg)ķbg"fbfr6

#- ļmf noēfœmojbf Mgrjguia‖ng gyjķ iru) féorfsfjno nðrt gnot& òé noēfœmojbf Mgrjguia‖ngsomf, gnot ‑>‖ cbkgsķ nurukujng %cjmsfycj scjuu ‑>‖ cbur6

#f- Obuœturubgj iru)bgrķj f%gno ottfmborf mck"fjgsycjbgr& iru"uj "ubujnuēumcbcj<bgr5 #o sgtķr<bgr5ng aòrobor "cyujg noēfœfk iðstorkoyoj noēfœmojbor gbķjgrgmcbuœturubur6 !oēfœfk iðstoroj noēfœmojbor fso ið, grnķ onfbfr <:omfb 46;5 6

Ðrjom %:  :omfb 46;‖no #orfboj fmf noēfœmojbf Mgrjguia‖ng "ubujgj noēorborf iru)bgjnķrgrgm&iru)bgrg gft oœftbfmborf yg,gbķk6

+umgrķng ð,otbojoj fœbokbor sķrgsķ fbo ioréomboœtfrfborom $>  #o $=  cbgrgm fsfkbojnfrfboj fmfiru) cbuœturubur6 (ru)bgrķj cbuœturu)& cbuœturubgj iru)bgrķj fsfkbojnfrfbkosfjnoj scjrg

yg)ķbggm fœbok& aor "fr iru"uj toksfb ottfēf oœftbfēf yg,kgmtķr6$>‖fj f%gno ottfēf mck"fjgsycj yg,ķbķrmoj /‖jķj gbnķēķ noēorboro "gmķbķr6 (ru"uj "ubujnuēumcbcjbgrng /9 aok 3& aokno > noēorfjf gbnķēķjngj ‑/‖ noēfœmojf yg,ķbkg,6 (ru"uj

 "ubujnuēu sgtķrng ‖jfj gbnķēķ noēor noēfœkonfēfjnoj #o sgtķr ‑>‖ noēorfjf toksfbottfēfjnoj9 $>2 cbgrgm obno onfbfr6

#omfb 0$1$  Mgrjguia agrftgsķjng iru)bgjnķrkgbgrngj %cjmsfycjbgrķj yg,ķbkgsķ6

/yjķ œomfbno $=‖jfj "ubujnuēu mcbcjng ‑/‖ ygbjķ,g > noēorfjf gbnķēķjngj $= 2 / cbgrgmyg,ķbķr6 (ru) aor fmf sgtķrng "ubujnuēujngj #o ‑‖ noēfœmojf aok ‑3‖& aokno ‑>‖ noēorborfjfgbnķēķjngj noēfœmojf yg,ķbkg,6 /yrķ gyrķ yg,ķbgj "u iru) noēorborf tc)bgjķrsg&sgnoboœtfrfbkfœ oœftbfm obno onfbfr6

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Mgrjguia Agrftgbgrķ

Ðrjom 8:  :omfb 46I‖ng iðròboj ? noēfœmojbf Mgrjguia agrftgbgrķjng cbuœturubgj iru)bgrg gftoœftbfmborf "ubgbķk #o scjué oœftbfēfjf yg,gbķk6

:omfb 46I6g‖ngmf Mgrjguia‖ng $>‖fj f%gno ottfēf %cjmsfycj yg,ķbķrmoj9 iru"uj "ubujnuēu

sòtujbgrng / noēorf noēfœfk iðstorkonfēfjnoj #o noēfœfk iðstorkoyoj noēor ‑3‖cbnuēujngj %cjmsfycj /L cbgrgm cbuœur6 (ru"uj "ubujnuēu #o ‖jfj toksfb onfbnfēfsòtujbgrng noēorf ‑3‖ #o ‑>‖‖ noēorborfjo sgaf) cbnuēujngj noēfœmojf yg,ķbkg,6 (ru)aor fmf sgtķrķ mg)bgnķēķjngj #o 7 noēfœmojborfjfj noēorborf noēfœfk iðstornfēfjnoj 7noēfœmojf no oœftbfmto "obfrtfbko,6 u nurukng& $>2/L oœftbfēf cbuœur6

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#omfb 0$9$  'é noēfœmojbf Mgrjguia agrftgsķjng iru)bgjnķrkg yg)ķbkgsķ #o oœftbfm yg,ķbkgsķ6

$=  iru"ujuj "ubujnuēu sòtujbgrng & sgtķrbgrng 7 noēfœfk iðstorkoyoj noēfœmojcbnuēujngj& "u noēfœmojbor égr)ķk œombfjno yg,ķbgrgm oœftbfm cbuœturubur6 $=‖jfj oœftbfēf9$=  2 7 cbgrgm "ubujur6 ubujgj oœftbfmbor tc)bgjķrsg& Mgrjguia œokgsķjķj toksfb ottfēfoœftbfm cbuœur6 !fēor Mgrjguia‖bgrng ng gyjķ )rojsf)boro uyubgrgm iru)bgr cbuœturubur6

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Mgrjguia Agrftgbgrķ

Ðrjom .: :omfb 46N‖no iðstorfboj Mgrjguia‖bgrngmf iru)bgrg gft oœftbfmborf yg,gbķk6

Aor"fr Mgrjguia‖ng yg)ķbgj iru)bgrg gft oœftbfmbor yg,ķbķrsg& :omfb 46>3‖ngmf oœftbfmbor obnoonfbfr6

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Mgrjguia Agrftgbgrķ

#omfb 0$%8$ ccbogj oœftbfmborfjfj Mgrjguia agrftgsķ ygrnķkķybg sgnoboœtfrfbkosf6

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#omfb 0$%.$ ccbogj oœftbfmborfjfj Mgrjguia agrftgsķ ygrnķkķybg sgnoboœtfrfbkosf6

Ðrjom ?:  $ 2 /LL7L@/L7L@/L7@/L7@/7 oœftbfēfjf Mgrjguia agrftgsķ ygrnķkķybg "gsftboœtfrobfk6

#omfb 0$%$ ccbogj oœftbfmborfjfj Mgrjguia agrftgsķ ygrnķkķybg sgnoboœtfrfbkosf6

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Mgrjguia Agrftgbgrķ

Ðrjom 1: /œgēķng #orfboj ccbogj oœftbfēfjf Mgrjguia agrftgsķ mubbgjgrgm sgnoboœtfrobfk6

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#omfb 0$%/$ !ðrt noēfœmojbf "fr oœftbfmtomf kfjtorkborfj Mgrjguia agrftgsķjg tgœķjkgsķ #o %cjmsfycjujsgnoboœtfrfbkosf6

Ðrjom 9:  $2∗<3&>&=&0&G&4&;&I&>=&>?&>05 œombfjno #orfboj "fr kfjtork f%gnosfjfsgnoboœtfrorom& bcdfm oœftbfm agbfjno yg,gbķk6

ļ%gnonomf rgmgkbgrķ toksfb onoj aòroboro ‑>‖ yg,ķbkgsķ fbo oœftbfm Mgrjguia agrftgsķjgtgœķjķr6 !gag scjrg iru)bgjnķrkg yg)ķbkgsķ #o iru)bgrķj toksfb ottfēf oœftbfmborfj yg,ķbkgsķfso sgnoboœtfrko fœbokf "ftfrfbfr6

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Mgrjguia Agrftgbgrķ

Ðrjom %>:  $ 2 /LL7!@/7!@/L7!L@/L7!@/L! bcdfm oœftbfēfjf Mgrjguia agrftgsķygrnķkķ fbo sgnoboœtfrobfk6

Forfboj bcdfm oœftbfmto 0 noēfœmoj "ubujkgsķ jonojf fbo mubbgjķbggm Mgrjguia agrftgsķjķj

nðrt noēfœmojbf cbkgsķ ioromfr6 *œftbfmtomf kfjtorkbor& toksfb onfbnfmborf aòroboro ‑>‖yg,ķbkgsķ surotf fbo Mgrjguia agrftgsķjg tgœķjķr6 Mgrjguia agrftgsķjngmf >‖bor iru)bgjnķrķbķ)&iru)bgrķj mgrœķbķmbgrķ cbgj oœftbfmborfj yg,ķbkgsķ fbo sgnoboœtfrko fœbokf "ftfrfbfr6 

#omfb 0$%?$ !ðrt noēfœmojbf oœftbfmborfj Mgrjguia ygrnķkķybg sgnoboœtfrfbkosf6

urgyg mgngr cbgj ðrjombor ao) kfjtorkborfj tc)bgkķ œombfjno oœftbfmborfj sgnoboœtfrfbkosffnf6 1gmstorkborfj égr)ķkķ œombfjno cbgj oœftbfmborf sgnoboœtfrkono& ncērubum tg"bcsu éķmķœsòtujujngmf ‑3‖ cbgj noēorbor Mgrjguia agrftgsķjg tgœķjķr6 *ēor oœftbfm kfktork cbgrgm#orfbkfœso& kfjtorkborf toksfb onoj aòroboro > yg,ķbnķmtgj scjrg mgbgj aòrobor 3‖bgrbgncbnurubur6 Aòrobornomf 3‖bgr iru)bgjgrgm kgmstorkborfj égr)ķkķ yg,ķbķr6

Ðrjom %%: $</&&7&!5 2 Ψ<3& =& 0& G& 4& ;& >35 kfjtork f%gnosfjf Mgrjguia agrftgsķjngmf 3‖bgrķmubbgjgrgm sgnoboœtfrfbkfœ oœftbfm cbgrgm yg,gbķk6

Forfboj oœftbfmtomf rgmgkbgr& toksfb onfbnfmborf aòroboro ‑>‖ yg,ķbkgsķ surotfybo Mgrjguia‖ygtgœķjķr6 ‑>‖ yg,ķbkgygj tòk aòroboro ‑3‖ yg,ķbgrgm& ‑3‖bgr iru)bgjnķrķbķr6 (ru)bgrngjkgmstork‖bor yg,ķbķr <:omfb 46>;56

1gmstork‖borfj yg,ķbkgsķ fœbokfjno noēorf noēfœkoyoj noēfœmoj ‑>‖ fso noēfœmojfj noēfbf&noēfœmoj noēorf ‑3‖ fso noēfœmojfj mojnfsf yg,ķbķr6

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Mgrjguia Agrftgbgrķ

#omfb 0$%1$  1fjtork f%gnoborfj 3‖bgr mubbgjķbgrgm sgnoboœtfrfbkosf6

$ Eoœ 'o Gbtķ +ofœmojbf Mgrjguia Agrftgbgrķ

!ðrttoj %g,bg sgyķngmf noēfœmojbf Mgrjguia agrftgbgrķ fbo égbķœkgm écm mcbgy noēfbnfr6 Dcmsgyķngmf noēfœmojbo fœbok yg)grmoj& aòroborfj sgyķsķ cbuœg"fboom kfjtorkborfj sgyķsķjg oœftcbggēķjngj "oœ noēfœmojbf sfstokno aòro sgyķsķ =G2?=& 4 noēfœmojbf "fr sfstokno aòrosgyķsķ =4240 cbur6 oœ noēfœmojbf Mgrjguia :omfb 46>I‖ng #o 4 noēfœmojbf Mgrjguia agrftgsķ:omfb 46=3‖no iðròbkomtonfr6 oœ noēfœmojbf Mgrjguia agrftgsķ fmf gnot nðrt noēfœmojbfMgrjguia agrftgsķjķj "fboœfkf& 4 noēfœmojbf Mgrjguia agrftgsķ fmf gnot "oœ noēfœmojbfagrftgjķj "frboœkfœ agbf cbgrgm nòœòjòbo"fbfr6

#omfb 0$%9$ oœ noēfœmojbf Mgrjguia agrftgsķjng aòroborfj cbuœturubkgsķ6

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Mgrjguia Agrftgbgrķ

#omfb 0$8>$ /btķ noēfœmojbf Mgrjguia agrftgsķjng aòroborfj cbuœturubkgsķ6

oœ #o gbtķ noēfœmojbf Mgrjguia agrftgbgrķjng cbuœturubgj iru)bgrķ toksfb onoj oœftbfmboryg,ķbķrmoj& noēorborf noēfœfk iðstorkoyoj noēfœmojbor gbķjķr6 (ru)bgjnķrkgbgrcbuœturuburmoj& "oœ noēfœmojbf Mgrjguia agrftgsķjķj fmf tgjo nðrt noēfœmojbf Mgrjguiaagrftgsķjķj "fboœfkf cbnuēu agtķrbgjgrgm& fmf )grég òst òsto nòœòjòbò) iru)bgjnķrkgyg)ķbg"fbfr < :omfb 46=>56

Ðrjom %8: $</&&7&!&*5 2 Ψ<3&=&0&4&I&>>&>?&>G&>N&=G&=N&=I&?>5 kfjtork f%gnosfjf sgnoboœtfrfbkfœoœftbfm cbgrgm yg,gbķk6

#omfb 0$8%$ oœ noēfœmojbf Mgrjguia agrftgsķjng oœftbfmborfj yg,ķbkgsķ6

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Mgrjguia Agrftgbgrķ

/btķ noēfœmojbf Mgrjguia agrftgsķjng iru)bgjnķrkgbgrng& agrftgjķj fmf gnot "oœ noēfœmojbfMgrjguia agrftgsķjngj cbuœturubnuēu agtķrbgjgrgm& ygtgy #o nfmoy mgtbgkg fœbokfyg)ķbg"fbfr6 u nurukng "fr grgyg ioboj aòrobor iru) cbuœturg"fbfr <:omfb 46==56

Ðrjom %. : :omfb 46==‖no #orfboj Mgrjguia agrftgsķjng "ubujgj >‖borf iru)bgygrgm fbifbfoœftbfmborf yg,gbķk6

*œftbfmborf yg,kgng& iru)bgrķj "ubujnuēu sòtuj #o sgtķrbgrng noēfœfk iðstorkoyojnoēfœmojbor kfjtork œombfjno yg,ķbķr6 *m cbgrgm nòœòjòbo"fboom tom jcmtg& Mgrjguiaagrftgsķjķj mgtbgjkgsķ nurukujng òst-òsto ioboom aòroborfj iru) cbuœturg"fbooēfnfr6

#omfb 0$88$ /btķ noēfœmojbf Mgrjguia agrftgsķjng oœftbfmborfj yg,ķbkgsķ6

/$ Lgrmotko"oj +urukbu <+&j‖t !gro‖bf7 B&fm =œftbfmbor

Mgrjguia agrftgsķjng "ubujgj > #o 3‖bgr bcdfm %cjmsfycjuj cbuœkgsķjng "fr gjbgk f%gno onor6ujujbg "org"or& ifrfœ noēfœmojborfjfj mosfj noēorbor cbkgnķēķ nurukbgr ng "ubujg"fbfr6

rjoēfj9 nðrt "ftbo f%gno onfboj cjbum sfstokno& I‖ngj scjrgmf gbtķ mck"fjgsycj afé"fr ,gkgjcbuœkg,6 u nurukng& cbuœkgygj <mubbgjķbkgygj5 mck"fjgsycjbgrķj gbnķēķ noēorbor ið, grnķonfbo"fbfr6 ‑Lgrm otko"oj 6urukbgr‖  cbgrgm fsfkbojnfrfboj "u nurukbgr& oœftbfmborf

 "gsftboœtfrkoyo ygrnķk onor6

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Mgrjguia Agrftgbgrķ

$grm otkoyoj mck"fjgsycjbgrķj toksfb ottfmborf aòroboro ‑>‖ #oyg ‑3‖ noēorborfjf mcykgmkòkmòj noēfbnfr6 u jonojbo& cbuœkgygj mck"fjgsycjbgrķ toksfb onoj aòroboro ‑‖ #oyg‑n‖ fœgrotf <> #o 3 f%gnoborfjnoj gyķrkgm féfj5 yorboœtfrfbfr6 Mgrjguia agrftgsķjngiru)bgjnķrkg yg)ķbķrmoj& %grm otkoyojbf aòrobor 3 #oyg > cbgrgm mg"ub onfbo"fbfr6 Mgrgr&

agjif mg"ubòj %cjmsfycju ngag "gsft agbo iotfrooēfjo iðro #orfbfr6

Ðrjom %:  $ 2 Ψ<>&?&N&>>&>G5 #o %grmotko, nurukbgrķ n 2 Ψ<3&=&G5 cbgj "fr %cjmsfycjusgnoboœtfrobfk6

.gnoboœtfrko fœbokf féfj& oœftbfmto "ubujgj sgyķbgrķj toksfb ottfēf aòroboro ‑>‖& %grmotko,nurukbgrķjķ toksfb onoj aòroboro ‑‖ fœgrotf mcjur6 Obuœgj ‑>‖bor iru)bgjnķrkg fœbokfjo tg"ftutubur6 ‑‖ fœgrotbf aòrobor& > #oyg 3 cbgrgm nòœòjòbo"fbfr6 rjomto %grm otkoyojnurukbgrngj "frfsf ‑>‖& nfēorf ‑3‖ cbgrgm mg"ub onfbkfœtfr6

#omfb 0$8.$ $grm otkoyoj nurukbgrķ mubbgjgrgm "ccbogj oœftborfj obno onfbkosf6

urgyg mgngr Mgrjguia agrftgbgrķjķj sgnoboœtfrkono mubbgjķbkgsķjķ fjobonfm6 :fknfMgrjguia agrftgbgrķjķj bcdfm no#roborfj tgsgrķkķjng mubbgjķbkgsķjķ fjoboyobfk6

0$ Mgrjguia Agrftgsķ 2gr6ķkķ fbo B&fm +o'roborfj gsgrķkķ

Mgrjguia agrftgsķ mubbgjķbgrgm yg)ķbggm bcdfm no#ro tgsgrķkķjng& fbm fœbok cbgrgm bcdfm no#rotgsgrķkķjngmf fœbok "gsgkgmbgrķ uyiubgjķ) ncērubum tg"bcsu cbuœturubur6 !cērubumtg"bcsujngj obno onfboj noēorbor Mgrjguia agrftgsķjg tgœķjgrgm iru)bgjnķrkgbgr yg)ķbķr6(ru)bgrķj toksfb ottfēf oœftbfmbor yg,ķbgrgm bcdfm %cjmsfycj obno onfbfr6 .cj gœgkgng fsooœftbfēf toksfb onoj no#ro éf,fbfr6

Ðrjom %/:  >3 fmf "ftbfm "fr sgyķyķ toksfb otkomtonfr6 y>y3 noēfœmojborf fso nfēor fmf "ftbfm "frsgyķyķ iðstorkomtonfr6 >& 3&  y>& y3  noēorborfjf ifrfœ cbgrgm mubbgjgj #o >3  fbo y>y3

sgyķbgrķjķj oœft cbnuēu nurukbgrng éķmķœķj > cbkgsķjķ sgēbgygj bcdfm no#royf Mgrjguia

agrftgsķ mubbgjgrgm tgsgrbgygbķk6

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Mgrjguia Agrftgbgrķ

f- ļbm gœgkgng& tòk noēfœmojborfj gbg"fbooēf noēorborf tc)bu cbgrgm iðstorojncērubum tg"bcsu <0 noēfœmojbf5 cbuœturubur6

ff- !cērubum tg"bcsujng >&3 #o y>&y3 éf%tborfjfj oœft cbnuēu nurukbgr tos)ft onfbfr #o

 "u nurukbgr éķmķœ sòtujujng fbifbf noēorborfj mgrœķsķjng‖>‖ mcjubgrgm "obfrtfbfr <:omfb 46=06g56

fff- !cērubum tg"bcsu éķmķœ sòtujujngmf ‑>‖ noēorborf Mgrjguia agrftgsķjngmf fbifbfaòroboro tgœķjķr <:omfb 46=06"56

  f#- Mgrjguia agrftgsķjngmf ‑>‖ noēorborf iru)bgjnķrķbgrgm& iru)bgrngj oœftbfmboryg,ķbķr6

#- *œftbfmbor uyiuj mg)ķ no#roborf fbo bcdfm no#ro cbgrgm éf,fbfr <:omfb 46=0656

 

#omfb 0$8$ Mgrjguia agrftgsķ mubbgjgrgm bcdfm no#roborfj tgsgrbgjkgsķ6

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Mgrjguia Agrftgbgrķ

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Mgrjguia Agrftgbgrķ

!cērubum tg"bcsujngmf ‑>‖ noēorborf Mgrjguia agrftgsķjg tgœķjgrgm& iru)bgjnķrkgbgr yg)ķbķr#o iru)bgrķj mgrœķbķēķ cbgj oœftbfmbor yg,ķbķr <:omfb 46=G656

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  Mgrjguia Agrftgbgrķ

8oksfbfborE / toksfbfsfE >3G&

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.cjuuj > cbnuēu mck"fjgsycjbgr Mgrjguia agrftgsķjg tgœķjķr #o tgœķjgj noēorboriru)bgjnķrķbķr6 (ru)bgjnķrkgngj obno onfboj kfjtorkbo "frboœtfrfbfrso& fstojfboj fœbokfioréomboœtfrfboom no#rojfj bcdfm oœftbfēf obno onfbfr <:omfb 46=46"56

Bcdfm oœftbfēf ioréomboœtfroom no#ro mg)ķbgr fbo cbuœturubgrgm fœbok "ftfrfbfr <:omfb 46=4656

omrgrbgkg 'o Ogbķœkg 3&rubgrķ

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46 Mgrjguia agrftgbgrķjng iru)bgjnķrkgyķ tgrf% onfjf,6

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Mgrjguia Agrftgbgrķ

I6 Forfboj 0 noēfœmojbf Mgrjguia‖bgrng uyiuj iru)bgjnķrkgbgrķ yg)ķjķ,6

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  Mgrjguia Agrftgbgrķ

>=6 Bcdfm f%gnoborfj Mgrjguia agrftgsķ yðjtokf fbo sgnoboœtfrkosfjno tgmf) onfboom fœboksķrgsķjķ ð,otboyfjf,6

>?6 $ 2 /L7@/7L@/L7L@/LL7L Bcdfm f%gnosfjf Mgrjguia agrftgsķ mubbgjgrgmsgnoboœtfrfjf,6

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>G6 Mgrjguia agrftgbgrķjķj bcdfm tgsgrķkng mubbgjķkķjg mojnfjf, "fr ðrjom #ororom bcdfmno#royf éf,fjf,6

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>N6 $ 2 /LL7L!L @ /LL7! @ /LL7!L @ /L7L!L @ /L7! @ /L7!L @ /7L!L @ /7!L @/L7L!L @ /L7! Bcdfm f%gnosfjf sgnoboœtfrfjf,6

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=36 $ 2 /LL7L! @ /LL7! @ /L7L! @ /L7! @ /L7! @ /7! Bcdfm f%gnosfjf Mgrjguiaagrftgsķ mubbgjķbgrgm sgnoboœtfrfjf,6

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Xgyķsgb Ojtoirobor

(Nfiftgb FH‖s)

EÐBÒK

9

Gkgébgr 

Xgyķsgb ojtoiro torkfjcbcdfsfjfj, sgyķsgb ojtoiro tomjcbcdfsfjno mubbgjķbgj mgvrgkbgrķj géķmbgjkgsķ  Xgyķsgb ojtoiro pgrgkotroborfjfj gjbgkbgrķjķj géķmbgjkgsķ

 

Ojtoiroborfj féornfmborf obokgj sgyķsķjg voyg mubbgjķbgj tomjcbcdfyo iðro sķjķ`bgjnķrkgbgrķjķj

ygpķbkgsķ

 

‑Efpcbgr‖ vo ‑KCX‖ ojtoiro tomjcbcdfborfjfj tgjķtķbkgsķ

cdfm novroborno grguyuk mgvrgkķjķj géķmbgjkgsķ vo grguyuk novroborfjfj géķmbgjkgsķ

 

Xgyķsgb Obomtrcjfm‖to mubbgjķbgj iðstorioborfj égbķ!kg projsfpborfjfj géķmbgjkgsķ vo iðstorio

éo!ftborfjfj ð"rotfbkosf

 

Xķvķ mrfstgb iðstorioborfjfj tgjķtķbkgsķ

Egœbķmbgr

• Xgyķsgb Ojtoiro #grgkotroborf vo Xgyķsgb Ojtoiro $orkfjcbcdfsf

• Ojtoiroborfj %gpķbgrķjngmf Obokgj Xgyķsķjg &ðro Xķjķ`bgjnķrķbkgsķ

• cdfm Ojtoiroborfj %gpķbgrķjngmf Obokgjbgrg &ðro Xķjķ`bgjnķrķbkgsķ

• cdfm Obokgjbgrng 'rg (yuk

• $$ vo )KCX Obokgjbgrbg *ubbgjķbgj &ðstoriobor 

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  Xgyķsgb Ojtoirobor +-

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  Xgyķsgb Ojtoirobor 

Ifrfœ

cdfm mgpķbgr .g!bķ"ķ gbtķjng géķmbgnķ"ķkķ/ tokob bcdfm obokgjbgr< nfrojé, nfyct, trgjsfstðr,m7é7m no"orbfmbf mcjngjsgtðr, 5O$, KCX5O$, v.8 obomtrcjfm novro obokgjbgrķjngj cbu!ur8'yjķ éo!ft voyg `grmbķ obomtrcjfm obokgjbgrķj .fr pgmot >gbfjo iotfrfbkosf fbo cbu!gj yojfobokgj, ‑ojtoiro‖ ?0jtoirgton )fr9uft 10)6 cbgrgm fsfkbojnfrfbfr8 Ojtoirobor <

f1 %gpķbgrķjng mubbgjķbgj obokgjbgrķj éo!fnfjo,

ff1 Ojtoiro féorfsfjno .ubujgj bcdfm mgpķ vo trgjsfstðr sgyķsķjg,

fff1 *ubbgjķbgj ojtoiro tomjcbcdfsfjo,

ro`orgjs gbķjgrgm sķjķ`bgjnķrķbg.fbfrbor8

Xgyķsgb ojtoirobor, ygpķbgrķjng mubbgjķbgj novro obokgjbgrķ ro`orgjs gbķjgrgm 4

f1  Efpcbgr ojtoiro novrobor< =$, $$, 2$, O), v.8

ff1 KCX1bcdfm ojtoiro novrobor< ;KCX, #KCX, )KCX,

!ombfjno fmf iruptg tcpbgjg.fbfrbor8

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f1 *7é7m ðbéombf 0)‖bor,ff1 Crtg ðbéombf 0)‖bor,

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cbgrgm sķjķ`bgjnķrķbķrbgr8

Eu iojob sķjķ`bgjnķrkgbgrng crtgyg éķmgj irupbgrķj notgybgrķjķ fj9obokonoj ðj9o, >or .friru.uj sg>fp cbnu"u ð/obbfmborf géķmbgkgkķ/g ygrnķk9ķ cbg9gm sgyķsgb ojtoiro

 pgrgkotroborfjf ?ð/obbfmborfjf6 vo sgyķsgb ojtoiro torkfjcbcdfsfjf fj9oboyobfk8

+3

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  Xgyķsgb Ojtoirobor 

 

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  BC2 kfj ‑+‖ nurukujng kfjfkukéķmķ! iorfbfkf

A8 B A8 B A8I B

BC kgJ ‑‖ nurukujng kgmsfkukéķmķ! iorfbfkf

8 B 8 B 8 B

B02 kfj

&frf!fj ‑+‖ cbkgsķjķ igrgjtf ono9omkfjfkuk ifrf! sovfyosf A8 B A8 B A8 B

B0 kgJ &frf!fj ‑‖ cbkgsķjķ igrgjtf ono9omkgmsfkuk ifrf! sovfyosf

8- B 8I B 8- B

!g?b" 9.78 $$ I ojtoirosfjfj `grmbķ sorfborno sg>fp cbnumbgrķ iorfbfk sovfyoborf8

&frf! vo éķmķ! iorfbfk sovfyoborfjno .ubujgj sķjķr no"orborf, gmķk no"orborf féfj no ioéorbfnfr8'j9gm, gmķk no"orfjnoj .g>sonfbfrmoj iojobno .fr bcdfm obokgjķj éomo9o"f crtgbgkg gmķkngj

 .g>sonfbfr8

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  Xgyķsgb Ojtoirobor 

7.0. ķmķœ 1g$gsftosf )6gj /4t+

Efr bcdfm mgpķjķj éķmķ!ķjg .g"bgjg.fbo9om kgmsfkuk y7m sgyķsķjg ‑ķmķœ mg$gsftosf = 6gj/4t‖ nojfr8 ‑5gj Cut‖ no"orf ojtoiro éo!fnfjo iðro `grmbķbķm iðstorfr8 *grkg!ķm novroborno,

mubbgjķbgj ojtoirojfj éķmķ!ķjg mgé tgjo mgpķ novrosfjfj .g"bgjg.fbo9o"fjfj .fbfjkosf ioromfr8:ķmķ! u9ujg `g/bg sgyķng y7m .g"bgjķrsg ojtoiro .c/ubur8

'rngrng .g"bgjg9gm ojtoiroborfj gyjķ 9fjs cbkgsķ uyiubgkgng mcbgybķm sg"bgr8  ‑5gj Cut‖no"orf, mubbgjķbgj ojtoiroborfj ifrf! vo éķmķ! gmķkbgrķjg iðro >osgpbgjķr ?Fomfb I8A68

Nrjo"fj $$ ojtoiroborfj X tfpfjno .u no"orbor<

:ķmķ! gmķkķ< + nurukujng  8 k'  ?y7mo nc"ru6

  nurukujng - k' ?ojtoiroyo nc"ru6

&frf! gmķkķ < + nurukujng A \' ?ojtoiroyo nc"ru6

  nurukujng 8 k' ?mgyjg"g nc"ru6

!ombfjnonfr8

$$ ojtoiroborfj X tfpfjno< .fr ojtoirojfj ?E ojtoirosf6 ifrf! u9u, .g!mg .fr ojtoirojfj?' ojtoirosf6 ‑+‖ sovfyosfjnomf éķmķ! u9ujg .g"bgjķrsg< >or .fr ifrf! u9ujngj E ojtoirosfjonc"ru A \' gmķk gmgr ?Fomfb I8A68 =f"or tgrg`tgj, ' ojtoirosfjfj éķmķ! gmķkķ kgmsfkuk 8k' cbnu"ujngj<

5gj Cut D 8k' L A \' D A tgjo

cbgrgm .ubujur8

 

<omfb 9.0. Ojtoiroborfj ifrf! vo éķmķ! gmķk no"orborfjo iðro 5gj Cut‖uj >osgpbgjkgsķ8

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  *gyjgm A \'

  , k' - k' kgmsfkuk

8 k' kgmsfkukOjtoiro '   Ojtoiro E Ojtoiro )

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  Xgyķsgb Ojtoirobor 

2ķ/1i7é 7rotfkf D + jsjU kW D pfmc gtt1sj ? pfmc dcubo6 cbgrgm .ubujur8

Xgyķsgb ojtoiroborfj soéfkfjno n7!7m >ķ/1i7é 7rotfkf tor9f> onfbfr8 Eu jonojbo, tgsgrķk9ķbgrojtoirojfj >ķ/ķjķ grtķrgrgm ygyķbķk io9fmkosfjf n7!7rkoyo voyg i7é >gr9gkgsķjķ n7!7rorom

>ķ/1i7é 7rotfkfjf m7é7btkoyo égbķ!kgmtgnķrbgr8 'j9gm, trgjsfstðr totfmbokobf novroborfjð/obbf"f jonojfybo >or fmfsfjf .org.or ygpkgm /crnur8

7.9. Gmķk Eosboko )F4rrojt X"4rHfji+ o Gmķk 4t4k4 )F4rrojt Xfjmfji+

cdfm gfboborf, gmķkķj .fr bcdfm obokgjķj éķmķ!ķ fbo nf"or bcdfm obokgjķj ifrf!f grgsķjng gmķ!!ombfjo iðro tgjķkbgjg.fbfr8 Gmķk ?osboko ?9urrojt scur9fji6 f!bokfjno< ‑'‖ mgpķsķjķj éķmķ!ķ‑+‖ cbnu"u /gkgj, ioréomto .fr nfrojé if.f ngvrgjgj ‑E‖ mgpķsķjķj ifrf!fjo 0 02 gmķkķ sg"bgjķr?Fomfb I88g68 Eu jonojbo< ‑'‖ mgpķsķjķj éķmķ!ķ ‑E‖ mgpķsķ ifrf!f féfj .fr gmķk mgyjg"ķcbu!turur8

X7r797 mgpķ %7m

g+ 'mķk .osboko f!bokf8

  X7r797 mgpķ %7m 

?+  'mķk yutuku f!bokf8

<omfb 9.@. 'mķk .osboko vo gmķk yutuku novroborfjfj nuruku8

‑Gmķk y4t4k4‖  ?)urrojt sfjmfji6 f!bokfjno< ‑E‖ mgpķsķjķj ifrf! novrosf B99 mgyjg"ķjg .frnfrojé .g"bgjkķ! otmfsf iðstorfr ?Fomfb I88.68 ‑'‖ mgpķsķjķj éķmķ!ķ ‑‖ nurukujg iobnf"f

/gkgj, gmķk ‑E‖ mgpķsķjngj ‑'‖ mgpķsķjķj éķmķ! nfroj9fjo nc"ru gmgr8 =f"or .fr noyf!bo, ‑E‖

+M

  @B)) 

‑‖

‑‖ + ABC2  0C2 

0+2 

G E

‑+‖

‑+‖

+ A

BC 0

0+ 

B)) 

G E

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķsgb Ojtoirobor 

mgpķsķjķj ifrf!fjf s7roj novrojfj ‑‖ cbkgsķ, ifrf!toj ioboj gmķkķ !gso ygpg9gm pc/fsycjngcbur8 'mķkķj !gso ygpķbkgsķ jonojfybo .u ð/obbfm, ‑gmķk y4t4k4‖ cbgrgm gnbgjnķrķbķr8

'mķk .osboko vo gmķk yutuku ð/obbf"f, `grmbķ bcdfm gfboborfjf fj9obormoj ðjokbf .fr ð/obbfm

cbgrgm mgr!ķkķ/g éķmgr87.. Eosboko Iorfbfkf o gbķœkg (sķsķ

Eosboko iorfbfkf< ojtoirojfj égbķ!kgsķ féfj i7é mgyjgiķjngj ojtoiroyo uyiubgjkgsķ ioromojiorfbfk n"orfjf f`gno onor8

:gbķ!kg ķsķsķ < ojtoirojfj jcrkgb égbķ!kgsķjķ ioréomboyo.fbkosf vo .c/ubkgngj ébķ!g.fbkosfféfj fkgbgtéķ `frkg tgrg`ķjngj .obfrbojoj sķ9gmbķm .gjnķnķr8

9.0. Ojtoiroborfj g$ķbgrķjgmf Obokgj Xgyķsķjg I%ro Xķjķ2bgjķrķbkgsķ

Xgyķsgb ojtoiro tomjcbcdfsf i7j7k7/no >ķ/bg iobf!komto vo novroborfj ð/obbfmborfjo iðro`grmbķ sgyķng obokgjķ féoroj ojtoirobor fkgb onfbkomtonfr8 5grmbķ sgyķng mgpķ novrosf féoroj vo

cbu!ukbgrķjng `grmbķ sgyķng obokgj mubbgjķbgj nfdftgb ojtoirobor, $g.bc I8A‖nomf if.fsķjķ b̀gjnķrķbg.fbfr8 $g.bcng sķ`ķr ðbéombf .frbo!tfrko fbo, obomtrcjfm obokgjbgrķj .g"ķksķ/cbgrgm mubbgjķkķ mgstonfbkomtonfr8

$omjcbcdfborfj yķbbgrg iðro iobf!fkf vo >or.fr tomjcbcdf fbo 7rotfboj ojtoiroborfj féornfmborfobokgj sgyķbgrķ $g.bc I8A8.‖no vorfbkomtonfr8 

9.;. B"#fm Ojtoiroborfj g$ķbgrķjgmf Obokgjbgrg I%ro Xķjķ2bgjķrķbkgsķ

Ojtoiro novroborfj cbu!ukujng, nfrojé, nfyct, mcjngjsgtðr, trgjsfstðr, 5O$, KCX5O$ v.8obokgjbgr mubbgjķbķr8 cdfm ojtoirobor, novroborfj cbu!turubkgsķjng mubbgjķbgj novroobokgjbgrķjg ?nfrojé, nfyct, trgjsfstðr v.86 iðro sķjķ`bgjnķrķbg.fbfr8 &ojob cbgrgm .fpcbgr voKCX bcdfm gfboborf gnķ gbtķjng ygpg.fbo9o"fkf/ sķjķ`bgjnķrkgng, gbt irupbgr g!g"ķngmf !omfbnocbu!ur4

G=Ef$"bgr B"#fm Gfbosf

f1 =frojé =fyct cdfm ?osfstcr =fcno cif9 1 =6,

ff1 =frojé $rgjsfstðr cdfm ?osfstcr $rgjsfstcr cif9 1 $6,

fff1 =fyct $rgjsfstðr cdfm ?=fcno $rgjsfstcr cif9 1 =$6,

fv1 %7msom O!fmbf cdfm ?2fi> $>ros>cbn cif9 1 2$6,

v1 $rgjsfstðr $rgjsfstðr cdfm ?$rgjsfstcr $rgjsfstcr cif9 1 $$6,

vf1 Okftor *upbgdbķ cdfm ?Okftor )cupbon cif9 1 O)6,

vff1 Ojtoirobojnfrfbkf! Ojdomsfycj cdfm ?0jtoirgton 0jdo9tfcj cif9 G00 1 0A68

+MM

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  Xgyķsgb Ojtoirobor 

)g+

O5!OIO /DM5BM1 NOOFOX 6/51X/5XG(X(

ONDOBOKG5

XG(X(

1G\(XG(X(

Xķ`ķr Nbéombf Efrbo!tfrko ?^orc X9gbo _jtoirgtfcj 1 ̂ X06

*7é7m Nbéombf Efrbo!tfrko ?Xkgbb X9gbo _jtoirgtfcj 1 XX06 A1A + +1+A

Crtg Nbéombf Efrbo!tfrko ?Konfuk X9gbo _jtoirgtfcj1KX06 A1+ +133

&ojf! Nbéombf Efrbo!tfrko ?grio X9gbo _jtoirgtfcj 1 X06 +1 + +13333

:cm &ojf! Nbéombf Efrbo!tfrko ?Bory grio X9gbo _jtoi81BX06 1+ A +133333

:cm :cm &ojf! Nbéombf Efrbo!8 ?(btrg grio X9gbo _jtoi8(X06 + P +I G +3 + G +-

&fig Nbéombf Efrbo!tfrko ?&fig X9gbo _jtoirgtfcj 1 &X06 1 +3 P +- PY

+MI

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķsgb Ojtoirobor 

 

)?+

!g?b" 9.08 Ojtoiroborfj ygpķbgrķjngmf obokgj sgyķsķjg iðro sķjķ`bgjnķrķbkgsķ8

E=K/X B"#fm Gfbosf

f1 Kotgb Cmsft cdfm ?Kotgb CJfno Xokf9cjnu9tcr1KCX6,

Q ; 1 KCX cdfm,

Q # 1 KCX cdfm,

ff1 )KCX cdfm ?)ckpbokojtgry KCX1)KCX68

Ojtoiro novroborfj ygpķk !omfbborfjf vo novroborfj égbķ!kg projsfpborfjf gjbgkgm féfj,yumgrķngmf sķjķ`bgjnķrkgng yor gbgj tomjfmborfj iojob ð/obbfmborfjf sķrgsķ fbo géķmbgygbķk8

;.7. Ef$"bgr !rgjsfst%r 14bbgjķbgrgm /b4œt4r4bgj B"#fm !omj"b"#fsf

%grķfbotmoj vo pgsf` obomtrcjfm novro obokgjbgrķ mubbgjķbgrgm `grmbķ !omfbborno bcdfm mgpķnovroborf cbu!turubur8 Cbu!turubgj mgpķ novroborf, mubbgjķbgj obokgjg iðro fsfkbojnfrfbfr8

f= Nfrojé Nfy"t B"#fm )NB+ L

*gpķ novroborfjf cbu!turgj tokob obokgjbgr cbgrgm nfrojé vo nfyctbgrķj mubbgjķbnķ"ķ kgjtķm,‑Nfrojé Nfy"t B"#fm )NB+‖  cbgrgm fsfkbojnfrfbfr8 = kgjtķ"ķ sg.ft .fr éķmķ! iorfbfkfvorokonf"fjnoj vo torsboko ?no"fb6 f!bokf ygpgkgnķ"ķjngj ncbgyķ i7j9obbf"fjf yftfrkf!tfr8

ff= Nfrojé !rgjsfst%r B"#fm )!B+ L

_bm fkgb onfboj tf9grf tfp cbgj vo .gsft .fr ygpķsķ .ubujgj $ ojtoiroborf, nf"or bcdfm ojtoirotomjfmborfjfj iobf!tfrfbkosfybo ðjokfjf yftfrkf!tfr8

+M-

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  Xgyķsgb Ojtoirobor 

$ tfpf ojtoiroborfj égbķ!kg iorfbfkf B18MB grgsķjngnķr8 $ tfpf ojtoirobor I vo 3fbo .g!bgygj sgyķbgrbg mcnbgjķrbgr8

fff= Nfy"t !rgjsfst%r B"#fm )N!B+ L

=$ tomjf"f< $ tfpf ojtoiroboro iðro >ķ/, i7é vo mgrgrbķbķm .gmķkķjngj ng>g fyf nurukngcbkgbgrķjg rg"koj, uyiubgkgngj mgbmgj vo yorfjf $$ tomjcbcdfsfjo .ķrgmgj ojtoirobornfr8

=$ novroborfj égbķ!kg iorfbfkborf B 9fvgrķjngnķr8 &7r7bt7 .g"ķ!ķmbķ"ķ n7!7m cbgj =$ojtoirobor, - vo 3 fbo .g!bgygj sgyķbgrbg mcnbgjķrbgr8

f= :msom Oœfmbf B"#fm )-!B+ L

2$ tfpf ojtoirobor, =$ tfpf ojtoiroborno .ubujgj nfyct yorfjo /ojor nfyct mcjubgrgmioréombo!tfrfbfr8 Eðybo9o ojn7strfno éo!ftbf obomtrckomgjfm 9f>g/bgrķj mcjtrcb novroborfjnomubbgjg.fbo9om i7r7bt7 .g"ķ!ķmbķ"ķ écm fyf ð/ob ojtoirobor cbu!ur8

2$ tfpf ojtoirobor, égbķ!kg iorfbfkborf +B vo ygyķbķk io9fmkosf oj .7y7m cbgj ojtoiro

éo!fnfnfr8&7r7bt7 sovfyosfjfj y7msom cbnu"u .u tfp ojtoirobor, MM‖bķ sgyķbgrbg mcnbgjķrbgr8 Nrjo"fj<Kctcrcbg K)MM, K)MM+ BO K)MM- if.f8

= Okftoroj 14$bg#bķ B"#fm )Okftor F"4$bo B"ifH = OFB+ L

Kgjtķm sķjķ`bgrķ féorfsfjno oj >ķ/bķ ygpķyg sg>fp cbgj Okftornoj Eg"bķ cdfm ?O)6novroborno, mubbgjķbgj trgjsfstðrbor ncyukg iftkonoj égbķ!ķrbgr8 $rgjsfstðrborfj ncyukgiftkonoj égbķ!kgsķ, trgjsfstðrborfj nuruk no"f!tfrkosf féfj iorombf gmķkķ n7!7r7r vogjg>tgrbgkg >ķ/ķjķ grtķrķr8 Eu ng O) kgjtķ"ķ fbo 7rotfboj obokgjbgrķj >ķ/ķjķj grtkgsķscju9uju nc"urur8

O) kgjtķ"ķ fbo ygpķbgj novrobor, ‑gmķk k"b4 kgjtķm‖ ?)urrojt Kcno cif9G)K6 cbgrgmtg fsfkbojnfrfbfrbor8 O) kgjtķm mgpķbgrķ, .fr.frborfjfj t7kboyojf cbgj fmf éķmķ! vorfrbor 

'jg>tgrbgkg >ķ/ķ écm y7msom cbgj O)‖no ygyķbķk io9fmkosf + jsj, i7r7bt7 .g"ķ!ķmbķbķ"ķygmbg!ķm A kB‖tur8 5gj1Cut‖u A 9fvgrķjng cbgj O) kgjtķmtg, tokob bcdfm mgpķbgrngmf i7ét7motfkf kW‖tķr8

%7msom `romgjsbķ uyiubgkgbgrng mubbgjķbgj O) obokgjbgr< n7!7m i7r7bt7 .g"ķ!ķmbķbķ"ķ,y7msom i7é t7motfkf vo joigtf` iorfbfk mubbgjkg if.f ð/obbfmbor jonojfybomubbgjķbkgkgmtgnķrbgr8 'yrķ9g O) obokgjbgrķj $$ vo KCX obokgjbgrbg uyukbu égbķ!kgsķécm /crnur8

f= Ojtoirobf Oj#omsfy"j B"#fm )(jtoirgto (j#oHtf"j B"ifH ((B = (0B+ L

+M3

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  Xgyķsgb Ojtoirobor 

Ojtoirobf Ojdomsfycj bcdfm mgpķbgrķ< tokob .g/ķ `grmbķbķmbgr nķ!ķjng $ bcdfm fbo .oj/orégbķ!kg ð/obbf"fjo sg>fptfrbor8 %gpķk cbgrgm `grmbķbķmbgr<

f1 $ mgpķng mubbgjķbgj .oy/ vo mcbbomtðr nfrojéborf mgbnķrķbgrgm .ujbgrķj yorfjo

uyiuj tfp trgjsfstðrbor .g"bgjkgsķ,ff1 0A‖no mubbgjķbgj trgjsfstðrborfj .frnoj `g/bg mcbbomtðro sg>fp cbkgsķ cbgrgm

ð/otbojo.fbfr

0A ojtoiro novro ygpķkķjng écm yor mgpbgygj nfrojéborfj mubbgjķbkgkgsķ, .fr ojtoiroféorfsfjo ng>g `g/bg obokgj yorbo!tfrfbkosf vo kgbfyotfj u9u/bgkgsķ scju9uju nc"urur8

ff= !gjsfst%r !rgjsfst%r B"#fm )!!B+ L

=$ ojtoiroborfj iobf!kf! !ombf cbgj vo ifrf! cbgrgm écm obokgjbķ ?okftorbf6 trgjsfstðrborfjmubbgjķbnķ"ķ $$ ojtoirobor, oj ygyiķj mubbgjķbgj nfdftgb ojtoiro iru.unur8 $ vo =$sķjķ b̀grķjķj novgkķ cbgrgm pfygsgyg éķmgj $$‖no tokob obokgj ‑BO=OV_‖ mgpķsķnķr8

Eujujbg .org.or, .7t7j bcdfm mgpķbgrķj $$ kgjtķ"ķ fbo cbu!turubkgsķ k7km7jn7r8 $$ojtoirobor I gbt iru.g gyrķbg.fbfr8

+1 Xtgjngrt $$ G ?Xtgjngrt $$ G $$6 1 ITT fbo iðstorfbfr8

A1 =7!7m &7éb7 $$ G ?c pcor $$ G $$6 G ITT fbo iðstorfbfr8

1 %7msom 2ķ/bķ $$ G ?2fi> spoon $$ G 2$$6 G I2TT fbo iðstorfbfr8

1 Fctmf ?:cm >ķ/bķ6 $$ G ?X9>cttmy $$ G X$$6 GIXTT fbo iðstorfbfr8

1 =7!7m &7éb7 Fctmf $$ G ?c pcor s9>cttmy $$ G X$$6 G IXTT fboiðstorfbfr8

M1 &obf!tfrfbkf! Fctmf vo &obf!tfrfbkf! =7!7m &7éb7 Fctmf $$ ?'nvgj9on X9>cttmy gjn

'nvgj9on G c #cor X9>cttmy $$61 I'XTT vo I'XTT fbo iðstorfbfr8I1 2ķ/bgjnķrķbkķ!1 &obf!tfrfbkf! Fctmf $$ ?5gst G 'nvgj9on X9>cttmy $$ G 5'X$$6

 G I5TT fbo iðstorfbfr8

Eu gbt iurupbgr grgsķjng éo!ftbf pgrgkgtro `grmbķbķmbgrķ kov9uttur8 'j9gm t7k gbt iurupbgriojobno B ? ] 8A B6 .osboko iorfbfkf fbo égbķ!ķrbgr8

''I%%TTT^ !ombfjno .fr fsfkbojnfrkojfj mubbgjķbnķ"ķ $$ ojtoiroborno, no"f!fm`frkgbgr tgrg`ķjngj 7rotfboj ojtoiroborfj fsfkbojnfrfbkosfjno L mcnbgjkgsķjng .g!tgmf .frvoyg fmf >gr` 7rotf9f `frkgjķj gnķjķ iðstorfr8 Nrjo"fj< =K4 ;gtfcjgb Xokf9cjnu9tcr, X;4$oJgs 0jstukojt vo X4 Xyijotf9s, K)4 Kctcrcbg, 2=4 2ftg9>f `frkgsķjķ toksfb otkomtonfr8

Hrotf9f `frkgyķ iðstoroj mgrgmtornoj scjrg, ojtoirojfj $$ ojtoiro cbnu"uju .obfrtoj

voyg - sgyķbgrķ .ubujur8 I sorfsf ojn7strf stgjngrnķ cbgrgm mubbgjķbķr vo 8IB18AB

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  Xgyķsgb Ojtoirobor 

égbķ!kg iorfbfkf fbo c)1Ic) ķsķ .gjnķjng égbķ!ķrmoj, sorfsf gsmorf uyiubgkgbgrngmubbgjķbķr vo 8B18B égbķ!kg iorfbfkf fbo 1c)1@+Ac) ķsķ .gjnķjng égbķ!ķrbgr8 Eg/ķ`frkgbgr, $$ ojtoiroborf -, - vo 3 sorfsf mubbgjgrgmtg iðstorkomtonfr8

voyg I sgyķsķjķ tgmfp onoj %% >gr`borf ojtoirojfj >gjif gbt iurupbgjnķrkg sķjķ`ķjg gftcbnu"uju iðstorfr8 2gr`fj ‑‖ cbkgsķ ojtoirojfj n7!7m i7éb7 $$ cbnu"uju iðstorfrmoj,‑X‖ cbkgsķ n7!7m i7éb7 sctmf $$ cbnu"uju .obfrtfr8

TTT, pgrégjķj L ojtoirojfj `cjmsfycjuju iðstoroj fmf voyg 7é .gsgkgmbķ sgyķ fbo ojtoirojfjfé ygpķsķjķ toksfb onoj .fbifborfj mgtgbcibgrngj .ubujkgsķ sg"bgjķr8

Nrjo"fj< IM ojtoirosf gbtķ gnot ‑=O&_‖ mgpķsķ vo IA ojtoirosf, nðrt tgjo fmf ifrf!bf‑BO%'=OV_‖ mgpķsķjķ féorfrmoj, I .fr tgjo - ifrf!bf ‑BO=OV_‖ mgpķsķjķ féorfr8*ubbgjķ9ķ .u rgmgkbgr ygrnķkķ fbo ojtoiro mgtgbcibgrķjng ojtoirojfj ð/obbfmborfjf .ubur8

Xgyķbgrķj scjujngmf ‑^‖ >gr`f fbo ojtoirojfj mķbķ` !ombf .obfrtfbfr8 *ķbķ` !ombf fbo ojtoirojfj>gjif kgb/okonoj ygpķbnķ"ķ, pgmotboko stgjngrnķ vo gygm sgyķsķng tgjķkbgjķr ?$g.bc I868

'éķmbgjgj .u .fbifbor fbo K) I2+A ojtoirosfjfj ð/obbfmborfjf fj9oborsom< Kctcrcbg `frkgsķtgrg`ķjngj 7rotfbnf"fjf, y7msom >ķ/bķ $$ cbnu"uju, yonf gnot ‑=OV_‖ mgpķsķ féornf"fjf vo=_# `crkgtķjng pbgstfmtoj ygpķbnķ"ķjķ .uburu/8

$$ ojtoirobor gbt irupbgrķ grgsķjngmf nf"or .fr `grm, ojtoiroborfj sg>fp cbnumbgrķ éķmķ!!ombfnfr8 (yiubgkgbgrng, $$ ojtoiroborfj >gjif gbt iruptg cbnu"ujuj .fbfjkosfjfjioromo.fbo9o"f nurukbgr cbg.fbo9o"f if.f, ojtoirojfj >gjif tfp éķmķ!g sg>fp cbnu"ujuj

 .fbfjkosfjfj ioromo.fbo9o"f nurukbgr ng cbg.fbfr8 Ef/ .urgng $$ gbt sķjķ`bgjnķrkgsķjķjð/obbfmborfjf mķsg9g géķmbgygbķk8

1ķbķ2 1"4 1ķbķ2 Ffjsf \gmotboko Xtgjgrķ Gygm Xgyķsķ ; #bgstfm %gj1ygjg fmf sķrg ?=0#6 +,+M,A,A

R Xorgkfm %gj1ygjg fmf sķrg ?=0#6 +,+M,A

W Xorgkfm =7/ vo *gr!ķbķmbķ +,+M

5 )gk L Kotgb =7/ vo =ðrt $grg`bķ A

!g?b" 9.;. $$ Ojtoiroborfj mķbķ` !omfbborf8

g= Xtgjgrt !!B )!!B+

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 179/533

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 180/533

  Xgyķsgb Ojtoirobor 

'jg>tgrbgkg /gkgjķjķ m7é7btkom féfj m7é7m no"orbfmbf nfrojébor mubbgjgj IX sorfsfjnocrtgbgkg i7é t7motfkf ygmbg!ķm A kW‖tķr8 Eu no"or I2 sorfsf fbo gyjķnķr vo scjuétg gyjķi7é t7motfkfjo mgr!ķbķm fmf mgt >ķ/bķ obokgj obno onfbfr8

o= N:œ:m I:éb: <"tmf !!B = 98BX Xorfsf LX1$$ sorfsf ojtoirobor, X1$$ sorfsf ojtoiroborfj ng>g n7!7m i7é vo ng>g n7!7m >ķ/bķvorsfycjunur8 IX sorfsf ojtoiroborfjmfjnoj ng>g .7y7m no"orbf nfrojébor mubbgjķbkgsķ,novrojfj i7é t7motfkfjf g/gbtķr `gmgt gjg>tgrbgkg /gkgjķjķj u/gkgsķjg jonoj cbur8

IX sorfsfjnomf .fr ‑BO=OV_‖ mgpķsķ, crtgbgkg 3, js ygyķbķk io9fmkosfjo mgr!ķbķm A kWi7é t7motfkfjo sg>fptfr8 Xtgjngrt $$ sorfsf fbo ygmbg!ķm gyjķ gjg>tgrbgkg >ķ/ķjg sg>fp IXojtoirobornomf i7é t7motfkf écm ng>g g/nķr8 Eu jonojbo, kfjfkuk i7é t7motfkfjfj iorombfcbnu"u yorborno tor9f> onfbfrbor8

2= Iobfœtfrfbkfœ <"tmf !!B )98GX+ o Iobfœtfrfbkfœ N:œ:m I:éb: <"tmf !!B)98GBX+ Xorfborf L

Ojtoiro novro tomjcbcdfsfjno ygmķj /gkgjng cbgj iobf!kobor fmf yojf tfp $$ sorfsfjfjiobf!tfrfbkosfjf sg"bgkķ!tķr4 &obf!tfrfbkf! Fctmf ?I'X6 sorfsf vo &obf!tfrfbkf! =7!7m &7éb7Fctmf ?I'X6 sorfsf8 I 'X sorfsf ojtoirobor, I'X sorfsfjo iðro ng>g n7!7m i7ét7motfkfjno ng>g >ķ/bķ .fr ð/obbf"o sg>fptfr8 I'X sorfsfjfj `fygtbgrķ n7!koyo novgk ottf"fs7ro9o vo yojf `cjmsfycjbgr ioréombo!tfroj ojtoirobor iobf!tfrfbnfméo, I'X sorfsf ojtoiroborI'X sorfsfjfj yorfjf gbg9gm iðr7jkomtonfr8

I'X sorfsf ojtoirobor, IX ojtoiroboro iðro >ķ/ vo i7é t7motfkf géķsķjngj 7st7jn7rbor8I'X sorfsf ojtoirobor, $$ ojtoirobor féorfsfjno oj n7!7m >ķ/1i7é 7rotfkfjo sg>fpobokgjbgrnķr8 %gmbg!ķm oj n7!7m i7é t7motfk sovfyosfjo ?+ kW6 o!ft i7é t7motfkfjo sg>fpI'X sorfsf, ygmķj /gkgjng nf"or $$ sorfborf yorfjo mubbgjķbkgyg .g!bgjg9gmbgrnķr8

\O6/KG5X /G5BG( 98 98B 98- 98X 98BX 98GX 98GBX

gyķbķk IoHfmkosf )jsj+ 3 M 38 +8I

I:é !:motfkf )kJ+ 3 +- M +3 +8M 8-

-ķ& I:é Òrotfkf )$#+ +A A I

Kgmsfk4k totfmboko ķ&ķ )K-&+ + A + A A A

6gj /4t

IOBK C G1(K /G5BG(

'/- )kfj+ A, A, A, A,I A,I A, A,

'/B )kg*+ , , , , , , ,

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķsgb Ojtoirobor 

'(- )kfj+ A, A, A, A, A, A, A,

'(B )kg*+ ,- ,I ,- ,- ,- ,- ,-

(/- )kfj+ = kG +,M ,+M A A , , ,A

(/B )kg*+ = kG +M ,M A A - - +

((- )kfj+ = kG , ,+ , , ,A ,A ,A

((B )kg*+ = kG , ,A , + , , ,

!g?b" 9.8. $$ gbt sorfsfjnomf ojtoiroborfj mgr!ķbg!tķrķbkgsķ8

i= !!B Xorfsfjomf Ojtoiroborfj 1grœķbgœtķrķbkgsķ L

$g.bc I8‖no, $$ sorfborfjnomf ojtoiroborfj ðjokbf ð/obbfmborfjnoj .g/ķbgrķ vorfbkomtonfr8$g.bcng vorfboj t7k sorfborno, por`crkgjs crgjbgrķ ?totfmboko >ķ/ķ >grfé6 .fr‑BO=OV_‖mgpķsķ féfj vorfbkf!tfr8

$g.bcngmf no"orborf mubbgjgrgm IX tfpf ojtoiro féfj i7r7bt7 grgbķ"ķjķ .ubup stgjngrt $$ fbomgr!ķbg!tķrgbķk8

B2 D BC2 ?kfj6 GB02 ?kfj6 D A,IB G A,B D ,IB ?Xtgjngrt $$‖jfj no"orf ,B68

B2 D BC ?kgJ6 GB0 ?kgJ6 D ,-B 1 ,B D ,B 8

= !!B Ojtoiroboro E4b4jgj \grgkotroborfj jHobojkosf L

$$ ojtoiroborfj sg>fp cbnumbgrķ ð/obbfmbor, ‑Borf Ob *ftg.ķ 1 =gtg 2gjn Eccm‖ gnķ vorfbojvorf mgtgbcibgrķjng ð/otbojkf!tfr8 Borfboj ð/obbfmbor g!g"ķngmf irupbgr gbtķjng fj9obojo.fbfr8

f1 Obomtrfmsob vorfborf8

ff1 =gr.o ngvrgjķ!bgrķ8fff1 'ygm .g"bgjtķbgrķ vo égbķ!kg ?`cjmsfycj6 tg.bcsu8

fv1 Obokgjbgrķj tgvsfyo onfboj égbķ!kg vorfborf8

f= Obomtrfmsob 'orfbor

cdfm obokgjbgrķj ‑+‖ vo ‑‖ nurukbgrķjng égbķ!g.fbkoborf féfj tospft onfboj sķjķr no"orborfjfgéķmbgygj vorfbor, ‑Obomtrfmsob orfbor‖ cbgrgm fsfkbojnfrfbfr8 cdfm iorfbfk vo gmķk sovfyoborfcbgrgm ng fsfkbojnfrfboj .u vorfbor, $$ ojtoiroborfj éo!fnfjo iðro no"f!fmbfm iðstorsobor no,crtgbgkg cbgrgm f`gno onfbo.fbfrbor8

'(- 4 Xgyķsgb ojtoirojfj ifrf!fjno ‑+‖ nurukuju f`gno onoj iorfbfk no"orfnfr ?B02kfjDA,B68

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķsgb Ojtoirobor 

'(B  4 $$ ojtoirojfj ‑‖ cbgrgm gbiķbgnķ"ķ iorfbfkfj gbg.fbo9o"f oj y7msom no"ornfr ?B0kgJ

D,-B68

'/-4 Xgyķsgb ojtoirojfj éķmķ!ķjng ‑+‖ no"orfjf toksfb onoj oj m7é7m iorfbfk no"orfnfr ?BC2

kfjDA,B68

'/B4 :ķmķ! iorfbfkfjfj ‑‖ cbgrgm gbiķbgjg.fbkosf féfj cbg.fbo9om kgmsfkuk iorfbfk no"orfnfr?BCkgJD,B68

((-4 Ojtoironomf ifrf! no"orf ‑+‖ fmoj ifrf!fj éomtf"f gmķk no"orfnfr ?$$‖no \'Lifrf!68

((B4 &frf!tomf iorfbfk ‑‖ fmoj ifrf!toj gmgj gmķk no"orfnfr8 'mgj gmķkķj yðj7 mgpķngj nķ!grķnc"ru fso ?16 cbgrgm, mgpķngj féorf nc"ru fso ?@6 cbgrgm n7!7j7b7r8 Eu no"or mgpķ .g!ķjg +,Mk'‖ nfr8

(/-4 :ķmķ!tg ‑+‖ vgrmoj nķ!grķ nc"ru gmgj gmķknķr ?$$‖no , k'Lmgpķnķr68

(/B4 :ķmķ! ‑‖ nurukujng fmoj mgpķngj gmgj gmķk no"orfnfr8 *gpķngj féorf nc"runur vo+Mk'‖nfr 

ff= Ngr?o Ngrgjķœbgrķ

Xgyķsgb novrobor, uyiubgjgj f!grotborfj sovfyo no"f!fmbfmborfjo voyg f!grotto cbgj gjfno"f!fmbfmboro 9ovgp vorfrbor8 Xovfyo no"f!fmbfmborfjo iðro égbķ!gj novroboro, ‑sofyototfmbokobf orobor‖ nojfr8 _!grottomf gjf no"f!fmbfmboro ygjķt vororom égbķ!gj novrobor, ‑ioéfœoyg mojgr totfmbokobf orobor‖ cbgrgm gnbgjnķrķbķr ?Fomfb I8M68

  g+ Xovfyo $otfmbokosf ?+ *ojgr $otfmbokosf

<omfb 9.A. cdfm ojtoiroborno sovfyo vo mojgr totfmboko nurukbgrķ8

fff= Eg3bgjtķ Gygmbgrķ o gbķœkg Xgy2gsķ

=fdftgb ojtoirobor iojobbfmbo fmf tgrg`ķjng éf/if !ombfjno gyg"ķ cbgj ojtoiro ygpķsķjng ‑f2tgtbķ $gmot N4gb fjbfjo $gHmgio = N(\‖ fkgb onfbfrbor8 Fomfb I8I‖no nfdftgb ojtoirojfj !ombfvo gygm .g"bgjtķ jukgrgbgrķ iðr7bkomtonfr8 Ojtoirojfj gygm jukgrgbgrķ, ojtoirojfj7/orfjnomf jcmtgngj voyg ifrfjtfnoj .g!bgygrgm sggt yðj7j7j torsf yðj7jno sķrgbgjķr8

+I

$otfmboko sovf oborf1jcmtgbgrķ $otfmboko sovf oborf1jcmtgbgrķ

  KO C3 C- CI CM C, CK CC CA C+ CO A3

+ A C K , M I - 3 +O ++ +A +C +K +, +M +I +- +3 AO

A- AI AM A, AK AC AA A+

O j t o i r o j f j G ķ

+ + +A ++ +O 3 -

+ A , M I

Ojtoirojfj Gķ

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķsgb Ojtoirobor 

<omfb 9.9. Ojtoiro gygm jukgrgbgrķjķj vorfbkosf8

Ojtoirojfj égbķ!kg sgy`gsķ L tg.bcsu ?ngtg s>oot6, obokgjbgrķj stgjngrt mgrgmtorfstfmborfjfiðstorfr8 2or .frf `grmbķ .fr ojtoiroyo sg>fp ð/obbfmborf iðstoroj sgy`gbgrķj .fr grgygiotfrfbkosf fbo ojtoiro vorf mgtgbcibgrķ ?0) =gtg Eccm6 cbu!ur8 $$ vo )KCX bcdfm gfboborno

 .ubujgj ojtoiroborf féoroj iojob bcdfm ojtoiro mgtgbcibgrķ ygjķ sķrg, ygjbķ/9g $$ ojtoiroborfféoroj $$ vorf mgtgbcibgrķ voyg ygjbķ/9g )KCX ojtoiroborf féoroj )KCX vorf mgtgbcibgrķ

 .ubujkgmtgnķr8

f= gbķœkg 'orfborf

Ojtoiroborfj sg>fp cnumbgrķ éo!ftbf ð/obbfmbor égbķ!kg vorfborf gnķ gbtķjng vorfbfr8

!!B :m s:rko )B"gfji Nrfo+ o :mbojko 1g$gsftosf )6gj=/4t+ L

Efr ojtoirojfj éķmķ!ķjķj y7mbojko ?5gj1cut6 voyg y7m s7rko ?cgn nrfvo6 mgpgsftosfjfj joyff`gno ottf"fjf gjbgkgm ðjokbfnfr8 Fomfb I8-8g‖ng ‑‖ nurukujngmf .frécm stgjngrt $$ ifrf!fjfs7roj, stgjngrt .fr $$ éķmķ!ķ iðr7bkomtonfr8 :ķmķ! ‑‖ fmoj $  trgjsfstðr7 fbotfknonfr voifrf!bornomf 00 gmķkbgrķjķj tcpbgkķjg o!ft cbgj 0C gmķkķ féfj gmķk yutu9u cbgrgm iðrov ygpgr8$rgjsfstðr7j fbotfk nurukujng $‖7j mcbbomtðr1okftor nfroj9f écm m7é7mt7r8 Eu nurukng, 0C

gmķkķ m7é7m .fr BC iorfbfk n7!7k7jo jonoj cbur8 Eu iorfbfk, ojtoirojfj BCkgJ no"orfjoorf!kokobfnfr8 Eu mķsķtbgkg, 0C‖jfj kgmsfkuk no"orfjf vo s7r7bo.fbo9om obokgj sgyķsķjķsķjķrbgr8

Eoj/or .fr nuruk Fomfb I8-8.‖no iðr7boj ‑+‖ éķmķ! nuruku féfjno ioéorbfnfr8 $  trgjsfstðr7okftor tgmfpéfsf if.f égbķ!ķr vo `grmbķ $$ ifrf!borfjnomf 002  gmķkbgrķjķj tcpbgkķ cbgj 0C2

gmķkķjķ sg"bgr ?9urrojt scur9fji68 O"or écm `g/bg sgyķng mgpķ novrosf s7r7b7rso< 0C2 gmķkķ,  Anfroj9f, $‖7j )1O .fbo!fkf vo =+ 7/orfjno n7!oj iorfbfkborf grtķrķr8 Eu iorfbfkborfj grtkgsķ,BC2 iorfbfkfjfj BC2 kfj sovfyosfjo ygmbg!kgsķjg voyg BC2 kfj  sovfyosfjfj gbtķjg n7!orom

 .obfrsf/ .ðbioyo ifrkosfjo jonoj cbur8

 

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķsgb Ojtoirobor 

0C2?kgJ6 D , k' D \' vo 002?kgJ6 D \'

cbgrgm .ubujur8

Eu no"orbor fbo éķmķ! ‑+‖ nurukujng fmoj s7r7bo.fbo9om mgpķ sgyķsķ<

5gj cut?+6 D 0C2?kgJ6 L 002?kgJ6 D \'L \' D +

cbgrgm .ubujur 8

Nrjom ygptķ"ķkķ/ >osgpbgkgng éķmķ!ķj ‑‖ vo ‑+‖ cbnu"u gjng ‑5gj Cut‖ no"orf + cbgrgm .ubujnu8 Eu jonojbo scjuétg 5gj Cut D + nojo.fbfr8 _mf no"orfj `grmbķ cbnu"u nurukbgrngfso m7é7m cbgj no"or ro`orgjs cbgrgm gbķjķr8

<omfb 9.. Ojtoiroborfj s7ro.fbo9o"f mgpķ sgyķsķjķj .ubujkgsķjng mubbgjķbg9gm gmķkbgr8

Ðrjom 0L  I'XA ‑BO=OV_‖ mgpķsķ fbo mgé tgjo I'XA mgpķsķ s7ro.fbo9o"fjf>osgpbgygbķk8

%&:k 4 Ojtoiro mgtgbcibgrķjngj g!g"ķngmf no"orbor cmujur8

0C2?kgJ6 D , k' D \', 0C?kgJ6 D - k', 002?kgJ6 D A \', 00?kgJ6 D ,+k'8

:ķmķ!ķj ‑+‖ cbnu"u nurukng 5gj Cut?+6 D \' L A \' D A,

:ķmķ!ķj ‑‖ cbnu"u nurukng 5gj Cut?6 D - k' L ,+ k' D -

cbgrgm .ubujur8

Eu nurukng, ‑5gj Cut‖ cbgrgm ng>g m7é7m no"or cbgj A soéfbfr8

+I-

00

00

00

0C

g+ X7r797 éķmķ!ķ vo y7m ifrf!borf ‑‖

002

002

002

0C2

?+ X7r797 éķmķ!ķ vo y7m ifrf!borf ‑+‖

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķsgb Ojtoirobor 

Ðrjom ;L I ojtoirosfjno .ubujgj ‑=OV_‖ mgpķsķ féfj ifrf! vo éķmķ! y7mboko no"orborfjf .ubgbķk8

%&:kL Borf mgtgbcibgrķjngj ‑0jput cgnfji L 5gj Cut‖ .g!bķ"ķ gbtķjng f`gno onfboj no"orbor

 .ubujur8 Cmujgj fbm no"orbor [' L +,Mk'‖nķr vo .ujuj gjbgkķ g!g"ķngmf !omfbno f`gnoonfbfr4

I‖7j ifrf!f< ‑+‖ nurukujng fmoj ifrf! sfjygb mgyjg"ķjngj kgJfkuk [' .fr gmķkéomormoj, ifrf!fj ‑‖ cbkgsķ nurukujng fso kgmsfkuk +,M k'‖bfm .fr gmķk sg"bgr8 Euno"orbor kgmsfkuk gmķk no"orborfjf iðstorkomtonfr vo prgtfmto ifrf!to 002 D + [' vo00D+,+k' no"orborf ðbé7b7r8

Borf mftg.ķjng iðr7boj fmfj9f no"or -[' L +Mk'‖nur vo .ujuj gjbgkķ< I éķmķ!ķ<

‑+‖ nurukujng fmoj< - [' gmķk sg"bgyg.fbfrmoj,

‑‖nurukujng< +M k' gmķk éomo.fbfr8

Eu no"orboro iðro ‑5gj1Cut‖ no"orborfjf >osgpbgrsgm<

5gj1Cut?+6 D-['L ['D A

5gj1Cut?6 D+Mk'L +,M k'D +

cbgrgm .ubujur8

Eubujgj no"orbornoj m7é7m cbgj soéfbo9o"f féfj 5gj1CutD + cbgrgm gbķjķr8

Ðrjom 8L IX ojtoirosf féfj y7mboko no"orborfjf .ubgbķk8

%&:k4 Ojtoirojfj ‑0jput cgnfji L 5gj Cut‖ .g!bķ"ķ gbtķjng<

&frf! féfj<

‑+‖ nurukujng4 A[' vo

‖‖ nurukujng4 8 k'

ifrf! y7mboko gmķk no"orborf cmujkgmtgnķr8 8

:ķmķ! féfj fso<

‑+‖ nurukujng4 \' vo

‑‖ nurukujng4 - k'

gmķk éomko mgpgsftosfjo sg>fp cbnu"u .obfrtfbkomtonfr8

Eubujgj no"orbornoj ojtoirojfj y7mbojko no"orborf<

5gj Cut?+6 D \' L A\' DA gnot,

+I3

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķsgb Ojtoirobor 

 5gj Cut?6 D -k' L D ,k' D A gnot

cbgrgm .ubujur8

%gpķbgj >osgpbgkgbgrngj, ‑5gj Cut‖ cbgrgm A no"orf obno onfbfr8

14bbgjķbkgygj Ifrfœbor L

Efr $$ ojtoirojfj sg>fp cbnu"u t7k ifrf!borfj, ygpķbgj uyiubgkgng mubbgjķbkgsķjg f>tfygécbkgyg.fbfr8 Nrjo"fj< ?'E6Z bcdfm f!bokfjf ioréombo!tfrkom féfj mubbgjķbgj 7é ifrf!bf‑BO=OV_‖ mgpķsķjķj gbg.fbo9o"f 7é nuruk Fomfb I8+‖ng iðr7bkomtonfr8

Efrfj9f yðjtok cbgrgm, mubbgjķbkgygj ifrf! cbnu"u if.f géķmtg .ķrgmķbg.fbfr ?Fomfb I8+8g68 Efrifrf!fj .g"bgjkgngj géķmtg .ķrgmķbnķ"ķ nuruk, ‑6b"gtfji‖ cbgrgm fsfkbojnfrfbfr8 2or>gjif .fryoro .g"bgjkgngj géķm cbgrgm .ķrgmķbgj uébgr $$ ojtoiroborfjno bcdfm ‑+‖ cbgrgm gbiķbgjķr8Eujuj gjbgkķ< $$ ojtoiroborno ‑‖ voyg ‑+‖ uyiubgjkgygj vo géķmtg .ķrgmķbgj ifrf!borfj,bcdfm ‑+‖ cbgrgm mg.ub onfbkosf ioromtf"fnfr8 Nrjo"fj< Fomfb I8+8g‖ngmf nurukng ifrf!to bcdfm‑+‖ gbiķbgjg9g"ķjngj, ‑BO=OV_‖ mgpķsķjng ?'8E8+6S D ?'8E6S `cjmsfycju cbu!ur vo fstojoj

scjué obno onfbfr8

<omfb 9.7>. Ojtoiroborno mubbgjķbkgygj ifrf!borfj gbg.fbo9omborf nurukbgr8

*ubbgjķbkgygj ifrf!fj géķmtg .ķrgmķbkgsķ fstojoj scju9u vorkosfjo rg"koj, mubbgjķbkgygjifrf!fj .fr gjtoj if.f ngvrgjgrgm >gtgbķ éķmķ!bgr cbu!turkgsķ k7km7jn7r8 Eu jonojbo, fmfj9fyðjtok cbgrgm gnbgjnķrķbg9gm mubbgjķbkgygj ifrf!fj @B‖yo .g"bgjkgsķ yðjtokf mubbgjķbķr8*ubbgjķbkgygj ifrf!fj .fr nfrojé 7/orfjnoj @ B‖bum mgyjg"g .g"bgjkgsķ, ifrf!fj mosfj ‑+‖cbkgsķ scju9uju vorfr ?Fomfb I8+8.68 ‑BO‖ mgpķbgrķ féfj no mubbgjķbg.fbo9om .u yðjtokno,gmķk sķjķrbgyķ9ķ cbgrgm mubbgjķbgj nfroj9o écm sgyķng mubbgjķbkgygj ifrf! .g"bgjg.fbfr8‑BO%'‖ vo ‑BO%'=OV_‖ mgpķbgrķ féfj, mubbgjķbkgygj ifrf!borfj géķmtg .ķrgmķbkgsķ voyg @B‖g .g"bgjkgsķ uyiuj no"fbnfr8 Eu tfp mgpķbgrng mubbgjķbkgygj ifrf!bor yg !gsoyo .g"bgjgrgm‑‖ ygpķbkgbķ, yg ng mubbgjķbgj ifrf!bornoj .frfjo .g"bgjkgbķnķr8

*ubbgjķbkgygj ifrf!bor féfj uyiubgjgj nf"or .fr yðjtok< mubbgjķbkgygj ifrf!fj mubbgjķbgjifrf!bornoj .frfsfjo .g"bgjkgsķnķr ?Fomfb I8+8968 Eu yðjtok t7k mgpķ éo!ftborfjo

uyiubgjg.fbfr8 _mf voyg ng>g `g/bg ifrf!fj .fr.frfjo .g"bgjkgsķ vo tom .fr ifrf! cbgrgm

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7M

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 G

E

(G.E)ķ

 G

E(G.E)ķ

 G

E

(G.E)ķ

g6 *ubbgjķbkgygj ifrf!fjgéķmtg .ķrgmķbkgsķ

96 *ubbgjķbkgygj ifrf!fj mubbgjķbkgygjnf"or .fr ifrf!o .g"bgjkgsķ

 .6 *ubbgjķbkgygj ifrf!fj iorfbfkmgyjg"ķjg .g"bgjkgsķ

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķsgb Ojtoirobor 

mubbgjķbkgsķ nurukujng, cbu!gj ifrf!fj y7mboko `gmtðr7 t7k ifrf!borfj y7mboko `gmtðrborftcpbgkķjg o!ft cbur8 %gbjķ/9g ‑BO‖ vo ‑BO=OV_‖ mgpķbgrķjķj ‑‖ nurukujng, mgé tgjo ifrf!

 .fr grgyg .g"bgjķrsg .g"bgjsķj tom .fr ifrf! y7mboko `gmtðr7 if.f ngvrgjķr8

;.0. Kotgb /msft grķfbotmoj Obokgjbgrķjgj /b4œt4r4bgj B"#fm !omj"b"#fsf_skfjf ygrķfbotmojo mgpbgjgj cmsft ygbķtmgj 7/orfjnomf obomtrcnuj ygpķsķjngj gbķr8 KCXtomjcbcdfsf ?Kotgb1CJfno1Xokf9cjnu9tcr 1 KCX6 fbo 7rotfboj trgjsfstðrbor, gbgj otmfbftrgjsfstðrbornfr8 Eu trgjsfstðrbor 5O$ voyg KCX5O$ cbgrgm gnbgjnķrķbķr8

KCX nfdftgb ojtoiroborfj tokob ygpķ obokgjķ cbgj KCX5O$‖borfj 7st7jb7"7, 7rotfkfjfj .gsftvo u9u/ cbkgsķjķj ygjķjng, m7é7m yor mgpbgkgsķ vo i7é >gr9gkgsķjķj écm n7!7m cbkgsķnķr8Ojtoiro féorfsfjno .fpcbgr trgjsfstðrborbo kkA yor mgpbgygj .fr obokgj, KCX5O$ fbo +kkA yor mgpbgr8 %gpķkķjng écm yor mgpbgygj nfrojéborfj mubbgjķbkgnķ"ķ KCX5O$ojtoiroborno, .fr ojtoirojfj féorfsfjo .fpcbgr trgjsfstðrborbo ygpķbgj ojtoiroboro iðro écm ng>g`g/bg sgyķng novro obokgjķ yorbo!tfrfbo.fbfr8 Eu nuruk X0 vo BX0 tfpf ojtoiro sķjķ`bgrķjngKCX5O$ tomjcbcdfsf mubbgjķbkgsķ scju9uju nc"urur8

KCX ojtoiroborfj no/gvgjtgdķ n7!7m f!bok >ķ/ķnķr8 Eu ð/obbf"fj ið/grnķ onfbnf"f .fr écmuyiubgkgng KCX bcdfm, .fpcbgr bcdfio 7st7j .fr gbtorjgtf` cbu!turur8 KCX bcdfifnotgybgjnķrkgngj ðj9o KCX5O$‖borf ð/otbokom mcjujuj gjbg!ķbkgsķjg ygrnķk9ķ cbg9gmtķr 8

G= \=K/X o 5=K/X !omj"b"#fborf

KCX5O$‖bor, égbķ!kg !ombf cbgrgm g/gbtgj ?nopbotfcj6 vo éc"gbtgj ?oj>gj9okojt6 cbkgm7/oro fmf tfpto fkgb onfbfrbor8 KCX ojtoiroborno iojobno éc"gbtgj tfp KCX5O$‖bor C;1C55gjg>tgr cbgrgm mubbgjķbķr8

=f"or tgrg`tgj KCX5O$‖bor uyiubgjgj pcbgrkg !ombfjo iðro, ;1mgjgb vo #1mgjgb cbkgm7/oro fmf `grmbķ ygpķng 7rotfbfr8 %gpķbgrķjng ;1mgjgb vo #1mgjgb KCX5O$ mubbgjgj KCXtomjcbcdfsf 7é irup gbtķjng tcpbgjg.fbfr4

f1 %gbjķ/9g #1*gjgb éc"gbtgj KCX5O$‖borfj mubbgjķbnķ"ķ #1KCX bcdfm8

ff1 %gbjķ/9g ;1*gjgb éc"gbtgj KCX5O$‖bor mubbgjķbgj ;1KCX bcdfm8

fff1 # vo ; mgjgb obokgjbgrķj mubbgjķbnķ"ķ )KCX bcdfm8

\=K/X o 5=K/X B"#fm Obokgjbgrķjķj Ð&obbfmborf L

Efpcbgr bcdfm gfboborbo mgr!ķbg!tķrķbnķ"ķ /gkgj, ng>g n7!7m f!bok >ķ/ķ, ng>g g/ i7é t7motfkf,ng>g fyf i7r7bt7 .g"ķ!ķmbķ"ķ, ng>g iojf! .osboko iorfbfk sķjķrbgrķ, ng>g .7y7m ‑5gj Cut‖ if.f7st7jb7mboro sg>fp KCX bcdfm gfbosfjfj ð/obbfmborf g!g"ķngmf !omfbno ð/otbojo.fbfr8

f= œbok ķ&ķ L ;1KCX tfpf .fr ‑BO=OV_‖ mgpķsķjngmf ygyķbķk io9fmkosf jsSnfr8

Eujuj fmf jonojf< éķmķ!ķj ‑+‖ cbnu"u nurukbgrng y7msom éķmķ! okpongjsķ ?+ * ℠

6 vos7r7boj bcdfm mgpķ novrosfjnoj ncbgyķ cbu!gj mgpgsftf` y7mboko otmfsfnfr8 KCX bcdfm

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķsgb Ojtoirobor 

$$‖boro iðro ng>g ygvg! cbgj )KCX ojtoiroborfj yojf sorfborfjno y7msom >ķ/bķ obokgjbgr7rotfbkomtonfr8

FK/X Ojtoiroborfj Ð&obbfmborf L

f= FK/X ojtoiroboro m4bbgjķbgj sorfbor L 

)KCX gfbosfjnomf nfdftgb ojtoirobor éo!ftbf sorfborno 7rotfbkomtonfr8 _bm 7rotfboj )KCX‖bgr' sorfsfjno fmoj, iobf!tfrfbkf! vorsfycju cbgj )KCX‖bgr ng>g y7msom éķmķ! gmķkķ fboE sorfsf cbgrgm 7rotfbkomtonfrbor8 I) vo ) sorfsf cbgrgm 7rotfboj )KCX sorfsfojtoirobor, $$ ojtoirosf fbo `cjmsfycj vo pfj cbgrgm tgk uyukbunur8 $$ o!no"orborf yorfjomubbgjķbg.fboj I) sorfsfjfj por`crkgjsķ, sorfsf fbo gyjķnķr8 Kctcrcbg `frkgsķ sorfsfjf + sorfsf cbgrgm 7rotkomtonfr8 %gjf, fbo + `cjmsfycj vo gygmuyukbunur8 Xyijotf9s `frkgsķ, gyjķ sorfyf 2)$+ !ombfjno tgjķkbgkgmtgnķr8

I) sorfsfjfj iobf!tfrfbkf! !ombf, ng>g >ķ/bķ cbgrgm fkgb onfboj IX sorfsf $$‖borfj mgr!ķbķ"ķcbgj I2) sorfsf ?y7msom >ķ/bķ )KCX6 ojtoirobornfr8 Eu tfpfj ng>g iobf!tfrfbkf! sorfsf fso,

nc"rungj $$ éķmķ!bgr tgrg`ķjngj s7robo.fboj I2)$ sorfsfnfr8 5grmbķ bcdfm gfboboro kojsupojtoiroborfj .frbfmto mubbgjķbkg nuruku ng>g scjrgmf mcjubgrng fj9obojo9omtfr8

ff= Eosboko Iorfbfkf o Iorfbfk Xofyoborf L

vo I) sorfsf ojtoirobor< 1+ Bcbt grgsķjngmf iorfbfkbor fbo, I2) vo I2)$ sorfborffso A1M Bcbt grgsķjngmf iorfbfkbor fbo égbķ!ķrbgr8 )KCX vo $$ ojtoirobor .frbfmto mubbgjķbnķ"ķ/gkgj, )KCX‖uj B== vo $$‖fj B)) iorfbfkborfjf gyjķ mgyjgmtgj sg"bgkgm féfj >or fmf tfpobokgj @ B fbo égbķ!tķrķbg.fbfr8

)KCX obokgjbgrķj ygbjķ/9g )KCX obokgjbgrķ s7rko nurukujng éķmķ! iorfbfk sovfyosf< ‑‖mcjukujng ygmbg!ķm B, ‑+‖ mcjukujng fso @B== no"orfjno cbur8 )KCX ojtoirobor B== D@B fbo égbķ!tķrķbnķ"ķ /gkgj, B0?K'T6 D +8 B vo B02?K_;6 D 8 B cbgrgm mg.ub onfbfr8

fff= I:r:bt: Xķjķrbgrķ L

)KCX ojtoiroborfj =) i7r7bt7 .g"ķ!ķmbķmbgrķ< B ;2 D B ; D B== cbgrgm f`gno onfbfr8B== D @ B fso, >or fmf bcdfm nurukujngmf i7r7bt7 sķjķrķ +8 B cbgrgm .ubujur8 Eu no"or $$vo O)‖noj ng>g fyfnfr vo .u nuruk y7msom i7r7bt7 crtgkķjngmf uyiubgkgbgrng )KCX‖u7st7j nurukg ioéfrfr8

f= I:é -grHgkgsķ L

)KCX bcdfm novrobor stgtfm nurukng fmoj ?nuruk no"f!tfrkonf"f /gkgj6 i7é >gr9gkgsķ écm

n7!7mt7r8 B== D @ B cbnu"u /gkgj >or .fr mgpķ féfj A8 jW‖bķm .fr i7é >gr9gkgsķ,B==D @+ B nurukujng fso + jW‖bķm .fr i7é >gr9gkgsķ cbu!ur8

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķsgb Ojtoirobor 

=) égbķ!kgng n7!7m sovfyono mgbgj )KCX ojtoiroborfj i7é t7motfkf, gjg>tgrbgkg nurukusð/ mcjusu cbnu"u nurukbgrng y7msobfr8 Nrjo"fj< =) égbķ!kgng + kW cbgj i7é t7motfkf<+ *2/‖no #= D 8+ kW vo + K2/‖to #=D +kW no"orfjf gbķr8 Eujuj jonojf, éķmķ!g .g"bķy7m jonojf fbo cbu!gj mgpgsftojfj 7/orfjnoj gmgj !grd gmķkķnķr8

= 6gj = /4t L

 ;1KCX vo #1KCX‖bgrng cbnu"u if.f, )KCX ifrf!borf no écm .7y7m .fr nfroj9o sg>fptfrbor?++

℠6 vo sfjygb mgyjg"ķjngj .fr gmķk éomko/bor8 'j9gm >or .fr )KCX ifrf! crtgbgkg  p5‖bķm y7m otmfsf cbu!turur ?Fomfb I8++68 Eu ifrf! mgpgsftosf, .fr )KCX obokgjķj s7ro.fbo9o"fifrf! sgyķsķjķ sķjķrbgr8 Efr )KCX obokgjķj éķmķ!ķ, .g"bķ .ubujgj t7k ifrf!bornomf mgpgsftoborfj

 pgrgbob mck.fjgsycjuju !grd L no!grd otkom /crujng cbnu"ujngj, s7r7boj obokgjbgrķjsgyķsķjķj grtkgsķ éķmķ! gjg>tgrbgkg /gkgjķjķ grtķrķr8

<omfb 9.77. )KCX‖g .g"bķ y7mborfj mgpgsfto otmfsf cbu!turkgsķ8

)KCX obokgjbgrng ombojoj >or .fr y7m fbo, s7r797 novrojfj ygyķbķk io9fmkosf crtgbgkg jsj grtgr8 %7ms7/ nurukng t#2D jsj ygyķbķk io9fmkosfjo sg>fp .fr ‑BO=OV_‖

mgpķsķjķj, A y7mo sg>fp cbkgsķ nurukujngmf ygyķbķk io9fmkosf4$cpbgk ygyķbķk io9fmkosf D t#2?y7ms7/6 @ ?y7m sgyķsķ6 U

D jsj @ A ? jsj6 D 3 jsjcbur8

Eu nuruk 5gj1Cut‖uj kgmsfkuk ygyķbķk io9fmkosfjo .g"bķ cbnu"u scju9uju nc"urur8&ojob cbgrgm +K2/‖fj gbtķjngmf uyiubgkgbgrng ‑5gj Cut‖ no"orf sgyķsķ fbo sķjķrbgjnķrķbķr8

f= Gjgtgrbgkg -ķ&ķ L 

2or jo mgngr )KCX .7y7m mgpgsftf` y7mborf s7rkom /crujng cbsgng, n7!7m éķmķ! nfroj9f?#1KCX5O$Sfj ‑+‖ nurukujngmf  C;  nfroj9f P+ * ℠  nur6 y7m mgpgsftgjsķjķj >ķ/bķ !grd

cbkgsķjķ sg"bgr8 Eu nuruk gjg>tgrbgkg >ķ/ķjķ grtķrķr8

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 ;';= mgpķsķ tcpbgk ;J, p5 y7m7 s7ror 

=f"or y7mboro

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķsgb Ojtoirobor 

sorfsf ‑BO=OV_‖ mgpķsķ<

B==D @ B‖tg crtgbgkg t#n D jsj,

B== D @+ B‖tg t#n D A jsj

ygyķbķk io9fmkosfjo sg>fptfr8 B==‖jfj grtkgsķybg t#n no"orfjfj grtkgsķjķj jonojf< y7msom .osboko iorfbfkfjno KCX5O$‖fj  C;  no"orfjfj m7é7bkosfnfr8 Eu nuruk, y7msom >ķ/ioromtfroj yorborno B==  iorfbfkfjfj k7km7j cbnu"u mgngr y7msom tutubkgsķ ioromtf"fjfcrtgyg éķmgrsg ng, B==Sjfj grtkgsķ fbo i7é t7motfkfjfj grtg9g"ķ crtgngnķr8

I2) voyg I 2) sorfsfjnomf )KCX ‑BO=OV_‖ mgpķsķ< B == D B fmoj, crtgbgkg t#= D -jsj ygyķbķk io9fmkosfjo sg>fptfr vo .u >ķ/ I X sorfsfjo mgr!ķbķm iobfr8

ff= 14bbgjķbkgygj Ifrfœbor o Xtgtfm <gr# -gssgsfyotfL

)KCX ifrf!borf mosfjbfmbo géķm .ķrgmķbkgkgbķ, sg.ft mgyjg"ķj torkfjgbborfjnoj .frfsfjo ?!gsovoyg @B==6 voyg nf"or .fr ifrf!o .g"bgjkgbķnķr8 Eg"bgjkgygj .fr ifrf!, i7r7bt7 vo stgtfm!grdbgrg mgr!ķ nuygrbķnķr8 Xtgtfm !grd jonojfybo y7msom ifrf! nfrojéborfjno n7!oj iorfbfk,

KCX5O$‖borfj mgjgb ?X6 fbo mgpķsķ ?&6 grgsķjngmf ygbķtķkķj .c/ubkgsķjg jonoj cbg.fbfr8'yrķ9g, # vo ; mgjgb KCX5O$‖borfj >or fmfsfjf fbotfkno tutgrgm i7é t7motfkfjfj grtkgsķjgvo g!ķrķ ķsķjkgyg jonoj cbur8

%ojf 7rotfboj )KCX obokgjbgrķj éc"u, >or.fr ifrf!o /ojor mcrukg nfycnu ombojkomsurotfybo stgtfm !grdķj jonoj cbnu"u .c/ubkgbgrg mgr!ķ mcrujkgmtgnķr8 Eu nfyctbgr to>bfmobfiorfbfk sķjķrķjng fbotfko ioéorom ifrf!fj ygbķtķk .ðbiosfjfj .c/ubkgsķjg ojiob cburbgr8 'j9gm/ojorfj .g/ķ nurukbgrng uyiuj no"orno vo /gkgjng fbotfko ioékoyo9o"f n7!7j7borom, yojf)KCX‖bgr féfjno ng>g ðj9o géķmbgjgj mcrukg ton.frborf uyiubgjkgmtgnķr8 'yrķ9g, ojtoironc"rungj novroyo bo>fkbojko yorfjo scmotborbo novroyo .g"bgjkgbķnķr8

fff= FK/X Géķm 1gjgb )/$oj Nrgfj+ o Òé4r4kb4 )!rfstgto+ ķmķœbgr L

 ;crkgb )KCX éķmķ!bgrķ, mosfjbfmbo .frbfmto .g"bgjkgkgbķnķr8 Fomfb I8+A‖ng fmf ‑=OV_‖mgpķsķjķj éķmķ!ķjķj .frbfmto .g"bgjtķsķ iðr7bkomtonfr8 :ķmķ!bgrķ .frbfmto .g"bgjgj mgpķbgrngj7sttomf ‑=OV_‖ mgpķsķjng #1KCX fbotfko ioéor vo  C; D + * ℠  no"orfjf gbķr8 'bttgmf‑=OV_‖ mgpķsķjng ; mgjgb KCX5O$ fbotfko ioéor vo  C; D + * ℠ no"orfjo sg>fp cbur8Crtgyg éķmgj + * ℠‖ bum nfrojébor iorfbfk .ðb797 cbgrgm égbķ!g9gmbgrķjngj, e éķmķ!ķ ygmbg!ķmB== L A no"orfjf gbķr8

e éķmķ!ķjng cbu!gj iorfbfk, tgjķkbgjkgygj .fr no"oro sg>fp cbnu"ujngj ?B 0?kgJ6 D B==

vo B02?kķj6 D IB==6, nf"or obokgjbgrķ s7rkom féfj mubbgjķbgkg/8 'yrķ9g fbotfk nurukujngmf

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķsgb Ojtoirobor 

fmf KCX5O$‖toj gmgj gmķk, jcrkgb !grtbgrng gmg9gm gmķkngj écm ng>g .7y7m no"ornocbg9g"ķjngj ojtoiro .c/ubg.fbfr8 Efrbfmto .g"bgjgj éķmķ!bgrķj `grmbķ mcjukbgrg sg>fp cbkgsķnurukujng, éķmķ!tg cbu!g9gm sfjygb Fombf I8+A8.‖no iðr7bkomtonfr8

_mf mgpķjķj éķmķ!ķjķj .frbfmto .g"bgjkgsķ nurukujng crtgyg éķmgj sgmķj9gyķ crtgngjmgbnķrkgm gkg9ķybg, .g/ķ )KCX obokgjbgr $$ géķm1mcbbomtðr éķmķ!g sg>fp obokgjbgrķjo!no"orf cbg9gm !omfbno géķm1mgjgb ?cpoj1nrgfj6 ygpķsķjng 7rotfbfrbor8 Eu obokgjbgrng #1mgjgbKCX5O$ mgbnķrķbnķ"ķjngj, éķmķ! .g!mg .fr jcmtgyg .g"bgjkgygj ;1mgjgb KCX5O$‖tojgbķjķr8 Eðybo .fr .g"bgjtķng ‖+‖sovfyobf éķmķ! sfjygbf 7rotkom féfj, >grf9f #ubb1up nfroj9fmubbgjķbķr8 'éķm1mgjgb ygpķngmf obokgjbgr ‑Eg"bgjtķbķ1BO‖ .g"bgjg.fbfrbor ?Fomfb I8+8g68

<omfb 9.70. Efrbfmto .g"bgjgj )KCX éķmķ!bgr vo éķmķ!bgrķj `grmbķ no"orborf gbkgsķ nurukujng cbu!g9gmngbig !ombf8

Eg/ķ )KCX ojtoiroborfj éķmķ!bgrķ fso, $$ 7énuruk ygpķsķjg .oj/or .fr ygpķyg sg>fptfrbor8Eðybo .fr .g"bgjtķng $$‖bor féfj sðybojoj >or!oy )KCX‖bgr féfjno ioéorbfnfr8 )KCX7énurukbu éķmķ!bgrg sg>fp )KCX obokgjbgrķj éķmķ!bgrķ, Fomfb I8+8.‖nomf if.f .fr ycb ?.us67/orfjno .frbfmto .g"bgjg.fbfr8

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķsgb Ojtoirobor 

<omfb 9.7;. )KCX géķm mgjgb ‑.g"bgjtķbķ1BO‖ .g"bgjtķ vo )KCX 7é nurukbu éķmķ!bgrķj ycb ?.us6 .g"bgjtķsķ8

8. B"#fm Obokgjbgrg Grg My4k

=ovro tgsgrķkbgrķjng, `grmbķ ð/obbfmboro sg>fp obokgjbgrķj sfstokfj `grmbķ yorborfjnomubbgjķbkgsķ ioromo.fbfr8 Eðybo nurukbgrng grg.frfk obokgjbgrķjg f>tfygé nuyubur8‑Grg?frfk )fjtor2gHo+ orosf ‖< s7r797 novrojfj éķmķ!ķ fbo y7m cbgrgm .g"bgjgj novrojfjifrf!fjf uyiujbg!tķrkgm gkg9ķybg mubbgjķbgj .fr novronfr8 'rg.frfk novroborf éc"u /gkgj

`grmbķ ð/obbfmboro sg>fp nfdftgb sfstokborf .fr grgng mubbgjkgyķ sg"bgygj novrobornfr8'yjķ sorf féorfsfjno .ubujgj ojtoirobor, ‑5gj Cut‖ sķjķrbgkgsķ ið/ ðj7jno .ubujnurubgrgm,

 .g!mg .fr ð/obbf"o .gmķbkgmsķ/ķj .fr grgng mubbgjķbķrbgr8 5grmbķ bcdfm gfbobornoj voyg gyjķ bcdfmgfbojfj `grmbķ sorfborfjnoj .fr grgng mubbgjķbgj ojtoiroborno fso, .frbfmto mubbgjķbgj obokgjbgrķjiorfbfk vo gmķk no"orborfybo .frbfmto nf"or pgrgkotroborfj ið/ ðj7jno .ubujnurubkgsķioromfr8

)KCX vo $$ ojtoirobor .frbfmto mubbgjķbnķmbgrķjng, .u ojtoiroboro gft ð/obbfmbor ið/ ðj7jno .ubujnurubkgbķnķr8 =f"or .fr noyf!bo< `grmbķ pgrgkotroboro sg>fp obokgjbgrķ .fr grgngmubbgjķrmoj, s7r797 cbgrgm mubbgjķbgj obgkgjķj éķmķ!ķjķj, y7m cbgrgm mubbgjķbgj obokgjķjgmķk vo iorfbfk ioromsfjfkborfjf mgr!ķbgyg.fbkosf ioromfr8 Eu nurukng, $$ vo )KCXobokgjbgrķj .fr.frborfjf s7rkosf nurukbgrķjķ notgybgjnķrgbķk8

8.7. !!B Noroborfj FK/X Noroborf X:rkosf

%7m cbgrgm mubbgjķbgj )KCX ojtoiroborfj ifrf! gmķk no"orborfjfj, s7r797 cbgrgm mubbgjķbgj$$ gfbosfjfj éķmķ! gmķkbgrķjg iðro écm n7!7m cbkgsķ jonojfybo >or>gjif .fr prc.bokcbu!kg/8 Eujujbg .org.or, $$ éķmķ! iorfbfkborf fbo )KCX ifrf! iorfbfk sovfyoborfjfmgr!ķbg!tķrnķ"ķkķ/ng, $$ sorfborfjnomf BC2?kfj6 no"orfjfj )KCX gfbosfjnoj E vo I2)sorfborfjfj B02?kfj6 sovfyoborfjo iðro écm n7!7m cbnu"u iðr7b7r8 Eu prc.bokf éð/kom féfj,$$ éķmķ! iorfbfk sovfyosfjfj )KCX féfj mg.ub onfbo.fbfr .fr sķjķrg y7msobtfbkosf ioromfr8 Eunurukng mubbgjķbgj oj ygyiķj éð/7k< $$ éķmķ!ķ fbo @B mgyjgm grgsķjg .fr pubb1up nfroj9f

 .g"bgkgmtķr8 #ubb1up nfroj9fjfj .g"bgjkgsķ fbo, $$ éķmķ!ķ ‖+‖ mcjukujng @B‖g y7msobfr8#ubb1up nfroj9f cbgrgm p D +*h+*h no"orfjno .fr nfrojé mubbgjķbķr ?Fomfb I8+68

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķsgb Ojtoirobor 

)g+ )?+

<omfb 9.7A. )KCX obokgjbgrķj `grmbķ éķmķ! no"orborfjno gbg9g"ķ nurukbgr8

:ķmķ!ķj ‑‖ cbkgsķ >gbfjno, .fr u9u !gsoyo .g"bķ  C; nfroj9f, éķmķ!ķ !gso pctgjsfyobfjo iotfrfr?Fomfb I8+M8.68 Eu nurukujng novro gmķk yutu9u cbgrgm égbķ!ķr8

2gtķrbgtkgbgr ķ!ķ"ķ gbtķjng, )KCX obokgjķj éķmķ!ķj ‑+‖ cbkgsķ nurukujng ?BC26, $$obokgjbgrķj ifrf!borf féfj iorombf iorfbfk sovfyosfjf sg"bgyg9g"ķ iðr7b7r8 =f"or tgrg`tgj)KCX éķmķ! gmķkķ ?0C26, $$ obokgjbgrķj ifrf! gmķkbgrķjķ ?0026 sg"bgr8

:ķmķ!ķj ‑‖ cbkgsķ nurukujng, $$ obokgjbgr +[' fbo Ak' grgsķjng .fr gmķk éomorbor8

I2) vo I2)$ sorfborf k'‖bfm gmķk yutkg mgpgsftosfjo sg>fp cbnumbgrķjngj, .u sorfbortom $$ y7mborf s7ro.fbfrbor8 E sorfsf fso, I voyg I'X sorfsfjnoj .fr obokgjķ ng>fs7rkom féfj yotorbf no"fbnfr8

)KCX obokgjķj éķmķ!ķjg .g"bķ obokgjbgrķ s7rokoyo9o"f crtgyg éķmgrsg, grg.frfk obokgjbgrķmubbgjķbķr8 Nrjo"fj< E vo IX+A obokgjbgrķ .u gkgé féfj mubbgjķbgj grg.frfkobokgjbgrķnķr8

)KCX‖bgrķj $$‖borf s7rkosf nurukujng mgr!ķbg!ķbgj nf"or .fr prc.bok, obokgjbgrķj `grmbķiorfbfkborbo égbķ!kgsķnķr8 Nrjo"fj< @+B fbo égbķ!gj .fr )KCX obokgjķ, @B B)) iorfbfkf fboégbķ!gj $$ obokgjķjķ s7roko/8 Eu nurukng fmf obokgj grgsķjng iorfbfk nðj7!7k7 ygpgj

 .fr grg.frfk obokgjķjg f>tfygé vgrnķr8 E tgkpcj obokgjķ .u f!bokf ioréombo!tfro.fbfr?Fomfb I8+I68 Eu obokgj )KCX‖tgj ioboj sfjygbfj sovfyosf jo cbursg cbsuj, éķmķ!ķjng $$féfj uyiuj cbgj @B sovfyosfjno .fr iorfbfk 7rotfr8

<omfb 9.79.  E ojtoirosfjfj iorfbfk sovfyo éovfrf9f cbgrgm mubbgjķbkgsķ8

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķsgb Ojtoirobor 

Xgyķsgb iðstorioborfj .fr éc"u, 13 grgsķjngmf rgmgkbgrķ vo .g/oj cjgbtķbķm sfstoknomf '15>gr̀ borfjf iðstorkom féfj yonf pgrégbķ iðstorio obokgjbgrķjķ mubbgjķrbgr8 %onf pgrégbķiðstoriobor, pgrégbgrngj >or .frfsf féfjnoj gmķk ioétf"f /gkgj ķ!ķm ygyg9gm !omfbno ð/obbf"osg>fp kgb/okobornoj ygpķbķrbgr8 _éfjnoj gmķk ioéoj pgrégbgr ķ!ķm ygygr vo cbu!turubkgm

fstojoj !omfb crtgyg éķmgr8 #grégbgr féfj iorombf sfjygbbor, uyiuj mcn éð/797 L s7r797bor7/orfjnoj obno onfbfr8 Nrjo"fj< E)=‖noj yonf pgrégbķ sfstoko nðj7!t7rko f!f, IM voygII ojtoiroborfybo ioréombo!tfrfbo.fbfr ?Fomfb I8A+68

%onf pgrégbķ iðstorioborf cbu!turkgm féfj mubbgjķbgj kgb/okobor< O=‖bor ?fi>t Okfttfji=fcnos6 vo pgrķbngygj `bgkgjbgrnķr ?0j9cjnos9ojt `bgkojtbor68 'yjķ égbķ!kg projsf.fjo sg>fp

 .u obokgjbgrķj `grmķ< !omfbborf cbu!turkgm gkg9ķybg mubbgjķbgj pgrégbgrķj `grmbķkgb/okobornoj ygpķbkgsķnķr8

@.7.7. BON 14bbgjķbgrgm /b4œt4r4bgj of \grégbķ I%storiobor

0!ķm ygykgm gkg9ķybg O=‖borfj mubbgjķbnķ"ķ iðstorioborno, >or.fr pgrég féfj .fr gnot O=mubbgjķbķr8 #grégbgrngmf O=‖bor nc"ru yðjno iorfbfk uyiubgjkgsķ fbo, fbifbf O= fbotfko

ioéorom ķ!ķm ygygr8%onf pgrégbķ iðstoriobor, crtgm gjctbu ?)ckkcj gjcno6 voyg crtgm mgtctbu ?)ckkcj9gt>cno6 cbgrgm fkgb onfbfrbor8 (yiubgkg ygpķbgj novrojfj ð/obbf"fjo iðro .ujbgrngj .frftor9f> onfbfr8

Crtgm gjctbu iðstoriono t7k gjctbgr .frbo!tfrfborom nc"rungj @B99‖yo .g"bgjķr8 #grégbgrng .ubujgj O=‖borfj mgtctbgrķ fso gmķk sķjķrbgyķ9ķ nfrojébor 7/orfjnoj s7r797 ojtoirosfjfjuyiuj éķmķ!bgrķ fbo frtf.gtbgjķr ?Fomfb I8A+68

Fomfb I8A+‖nomf .g"bgjtķngj iðr7bo9o"f 7/oro, ķ!ķm vorkosf fstojfboj O=Sfj .g"bķ cbnu"uojtoiro éķmķ!ķ ‑‖ ygpķbgrgm O=‖fj fbotfko ioékosf vo ķ!ķm ygykgsķ sg"bgjķr8 Eu nurukng,ojtoiro éķmķ!ķjng uyiuj mck.fjgsycjbgr cbu!turubgrgm .7t7j rgmgkbgrķ iðr7jt7bokomk7km7j cbur8 Nrjo"fj< ‑‖ rgmgkķjķ cbu!turkgm féfj< g, `, i, 9, n O=‖borfjfj fbotfkno ?ķ!ķmvorkosf6, . vo o  O=‖borfjfj ygbķtķkng ?ķ!ķm vorkokosf6 cbkgsķ ioromfr8 Crtgm gjcnbuiðstorioborf s7rkom féfj mubbgjķbgj II ojtoirosfjfj `cjmsfycj tg.bcsu vo crtgm gjcnbuiðstoriojfj ð/obbfmborf Fomfb I8AA‖no iðr7bkomtonfr8

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķsgb Ojtoirobor 

<omfb 9.07. %onf pgrégbķ iðstorioyo mcn éð/797 L s7r797 ojtoirosfjfj .g"bgjkgsķ8

<omfb 9.00. Crtgm gjctbu yonf pgrégbķ iðstoriojfj mubbgjķkķ8

Crtgm mgtctbu iðstoriojfj crtgm gjctbu iðstorionoj tom `grmķ, mgtctbgrķj .frbo!tfrfbkf!cbkgsķnķr ?Fomfb I8A68 Crtgm mgtctbu iðstorioyf s7rkom féfj< éķmķ!ķ gmtf` ‑+‖ cbgj mcn éð/797L s7r797 ?no9cnor L nrfvor6 novroboro f>tfygé vgrnķr8 I- ojtoirosf .u gkgé féfjtgsgrbgjkķ!tķr 8

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķsgb Ojtoirobor 

Eu iðstorioborno i7é >gr9gkgsķ écm cbnu"ujngj, pfb fbo égbķ!gj >osgp kgmfjgsķ vo ðbé7 gbotfif.f 9f>g/bgrng mubbgjķ!bķ no"fbbornfr8 Eujujbg .org.or yg/gr mgsgbgrng vo i7é >gr9gkgsķjķjécm ðjokbf cbkgnķ"ķ, obomtrfm fbo égbķ!gj sfstokborno mubbgjķbķrbgr8

@.0. Xķķ 1rfstgb I%storiobor )BfU4f Frystgb Nfs$bgys = BFN+Xķvķ mrfstgb iðstoriobor ?)=‖bor6 iojobno yonf pgrégbķ O=‖bf iðstoriobor if.f nf/gyjonfbfrbor ?Fomfb I8A8g68 )=‖bor n7!7m iorfbfk ?1+ Bo`` 6 vo n7!7m `romgjsbķ ?A1M 2/6sfjygbborno égbķ!ķr vo écm g/ gmķk éomorbor8 ') iorfbfk, t7k pgrégbgr féfj crtgm cbgjtg.gjgbgj ?.g9m.bgjo6 fbo pgrégbgr grgsķjg uyiubgjķr vo .fr pgrégyķ égbķ!tķrkgm ?turj cj6 féfjmubbgjķbķr8 #grég fbo tg.gjgbgj .fr mcjngjsgtðr ð/obbf"f cbu!turur vo .u mcjngjsgtðr ')gmķkķj `romgjsķ n7!7m mgbnķ"ķ s7ro9o écm m7é7m .fr gmķk éomor8 'j9gm `romgjsķj A 2/‖fjgbtķjg n7!kokosf ioromfr8

)=‖bor, pgrķbngygj vo O= iðstoriobornoj écm ng>g g/ gmķk éomtfmborfjnoj, >osgpkgmfjosf vo sggt if.f pfb fbo égbķ!gj 9f>g/bgrng ygyiķj cbgrgm mubbgjķbķrbgr8 Eujujbg .org.or,)= iðstoriobor O= iðstoriobor if.f ķ!ķm ygyķjbgkg/bgr vo .u jonojbo >grf9f .fr ķ!ķm

mgyjg"ķjg f>tfygé nuygrbgr8

BFN‖jfj X:r:bkosf L Efr )= pgrégsķ fbo tg.gjgbgjķ grgsķjg ') iorfbfk uyiubgjnķ"ķ /gkgj)= pgrégsķ ‑C;‖ cburmoj, =) iorfbfk uyiubgjnķ"ķ /gkgj pgrég ‑C55‖ cbur8 ') iorfbfkyorfjo, ') iorfbfk otmfsf cbu!turgj mgro ngbig .fr sfjygb, pgrég fbo tg.gjgbgj grgsķjguyiubgjķr8

Fomfb I8A8.‖no .fr pgrégyg mgro ngbig iorfbfkfjfj uyiubgjķ!ķ iðr7bkomtonfr8 2/‖bfm mgrongbig, tg.gjgbgjķ fbo ‑N^OBO%'‖ mgpķsķ ifrf!fjo gyjķ gjng uyiubgjķr8 ‑N^OBO%'‖mgpķsķjķj nf"or ifrf!f, pgrégjķj ‑C;‖ voyg ‑C55‖ cbnu"uju mcjtrcb otkom féfj mubbgjķbgjmcjtrcb ifrf!fnfr8

*cjtrcb ifrf!f ‑‖ cbnu"u /gkgj, N^OBO%'‖jķj éķmķ!ķ 2/‖bfm mgro ngbigjķj tgkgkoj

gyjķsķ cbur8 Eu nuruk, pgrég fbo tg.gjgbgjķ grgsķjg uyiubgjgj iorfbfkfj gyjķ cbkgsķscju9uju nc"urur vo pgrég ‑C55‖ cbur8 *cjtrcb ifrf!f ‑+‖ cbnu"u /gkgj, N^OBO%' éķmķ!ķ 2/‖bfm mgro ngbig iorfbfkfjfj torsf cbur vo .u nuruk, pgrég fbo tg.gjgbgjķjg uyiubgjgjiorfbfkfj .fr.frfjfj torsf cbkgsķ scju9uju nc"urur8 Xcjué cbgrgm< pgrég iorfbfkf @Bcburmoj, tg.gjgbgjķ 1B cbur8 Eu tors iorfbfk, pgrégyķ ‑C;‖ mcjukujg iotfrfr8 'jg>tgrbgkgf!bokf yonf pgrég féfj uyiubgjķj9g, yonf pgrégbķ )= iðstorio crtgyg éķmgr8

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķsgb Ojtoirobor 

 no

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<omfb 9.08. Xķvķ mrfstgb iðstorio iðr7j7!7 vo mcjtrcb novrosf8

)=‖bor iojobno )KCX obokgjbgrbg .frbfmto mubbgjķbķr8 Eujuj jonojf< )KCX obokgjbgrķjng>g g/ ojordf mubbgjkgbgrķ vo $$ obokgjbgrķj, ‑‖ sovfyosfjno 8B no"orfjno .fr iorfbfk7rotkoborfnfr8 Eu iorfbfk )=‖jfj ðkr7j7 mķsgbtķr8 )KCX ++ ojtoirosf, E)=‖noj yonf

 pgrégbķ )=‖yo mcn éð/797 L s7r797 obokgjķnķr8

!omrgrbgkg o gbķœkg X"r4bgrķ

7. cdfm obokgjbgrķ, >gjif obomtrcjfm novro obokgjbgrķjngj cbu!urY0. Xgyķsgb ojtoiroborf mubbgjķbgj novro obokgjķjg iðro sķjķ`bgjnķrķjķ/8

;. Xgyķsgb ojtoiroborf, ygpķbgrķjng .ubujgj bcdfm mgpķ vo trgjsfstðr sgyķsķjg iðrosķjķ`bgjnķrķjķ/8

8. ‑Ojtoiro pgrgkotroborf‖ torfkfjf tgjķkbgyķjķ/8

@. Xgyķsgb ojtoiroborno mubbgjķbgj pgrgkotroborf sķrgbgyķjķ/8

A. cdfm iorfbfk sovfyosfjf !omfbbo géķmbgyķjķ/8

9. B0 , B02 , BC , BC2 torfkborfjfj géķm gjbgkbgrķjķ yg/ķjķ/8

. ‑5gj Cut‖ torfkfjf géķmbgyķjķ/8. $$ ojtoiroborfj X tfpf féfj ‑5gj Cut‖ no"orfjf >osgpbgyķjķ/8

7>. ‑&7r7bt7b7 .g"ķ!ķmbķ"ķ‖ vo ‑Okjfyot pgyķ‖ torfkborfjf géķmbgyķjķ/8

77. ‑%gyķbķk io9fmkosf‖ vo ‑ygyķbķk >ķ/ķ‖ torfkborfjf !omfbbor ygrnķkķybg géķmbgyķjķ/8

70. Ojtoiroborno >gr9gjgj i7é jo cbgrgm tgjķkbgjķr vo .frfkf jonfrY

7;. ‑2ķ/1&7é 7rotfkf‖ jonfrY

78. ‑'mķk .osboko‖ vo ‑gmķk yutuku‖ torfkborfjf géķmbgyķjķ/8

7@. Ojtoiroborf ygpķbgrķjngmf obokgj sgyķsķjg iðro sķjķ`bgjnķrķjķ/8

7A. Efpcbgr bcdfm gfbosf féorfsfjno .ubujgj gbt irupbgrķ sķrgbgyķjķ/8

+3M

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķsgb Ojtoirobor 

79. KCX bcdfm gfbosf >gjif gbt irup bcdfm gfboborf féorfrY

7. +AB fbo égbķ!gj KCX obokgjbgrng cdfm + vo cdfm sovfyoborfjf >osgpbgyķjķ/8

7. $$ obokgjbgrķj .obfrsf/ .ðbio sķjķr no"orborfjf yg/ķjķ/8

0>. ‑%7msom O!ftbfm cdfm‖ fbo fkgb onfboj obokgjbgrķj égbķ!kg iorfbfkborf vo sorfborf jonfrY

07. ‑'mķk kcnbu kgjtķm‖ jonfrY

00. %7msom okpongjsbķ éķmķ! nurukujg sg>fp obokgjbgrķj mubbgjķbkg jonojborfjf yg/ķjķ/8

0;. O) ojtoiro novroborfj iojob ð/obbfmborfjf sķrgbgyķjķ/8

08. 0A fbo $ tomjcbcdfborf grgsķjngmf `grmķ ‑=OV_‖ mgpķsķ 7/orfjno géķmbgyķjķ/8

0@. $$ gfbosf féorfsfjnomf gbt irupbgrķ sķrgbgyķjķ/8

0A. $$ ojtoiroborfj fsfkbojnfrfbkosfjno mubbgjķbgj ‑''I%%TTT‖ `crkgtķjngmf >gr`borfjgjbgkbgrķjķ géķmbgyķjķ/8

09.  $$ ojtoiroborfj sg>fp cbnumbgrķ éķmķ! !omfbborfjf !omfbborbo géķmbgyķjķ/8

0. ‑Eg"bgjtķbķ1BO‖ .g"bgjtķsķ jonfrY

0. Hé nurukbu éķmķ!g sg>fp novrono ‑yotmfsf/bojnfrko‖ nuruku jo gjbgkg iobkomtonfrY

;>. ‑#ubb1up‖ nfroj9f jonfrY

;7. Xtgjngrt $$‖boro gft égbķ!kg iorfbfkf, i7é t7motfkf, ‑5gj Cut‖ no"orborf jonfrY

;0. Xtgjngrt vo =7!7m i7é t7motfkbf $$ grgsķjngmf tokob `grm jonfrY

;;. %7msom >ķ/bķ $$ sorfsfjno mubbgjķbgj n7!7m nfrojé no"orborf vo =grbfjitcj .g"bgjtķ joscjuébgr nc"ururY

;8. Fctmf $$ tomjcbcdfsfjno mubbgjķbgj vo nf"or $$ gfboborfjnoj `grmbķ cbgj kgjtķm jonfrY;@. Fctmf nfyctujuj f!bovf jonfrY

;A. &obf!tfrfbkf! n7!7m i7éb7 Fctmf sorfsfjfj iojob ð/obbfmborfjf sķrgbgyķjķ/8

;9. $$ ojtoiroboro gft ‑=gtg 2gjn Eccm‖bgrng vorfboj tokob ð/obbfmbor jobornfrY

;. ‑Xovfyo $otfmbokobf =ovro‖ jo nokomtfrY

;. Ojtoiro vorf sgy`gbgrķ vo vorf mgtgbcibgrķ >gjif t7r .fbifborf féorfrY

8>. %7m s7rko vo y7mboko mgpgsftosfjf géķmbgyķjķ/8

87. I ‑BO=OV_‖ mgpķsķjķj mgé tgjo I'XA ‑BO=OV_‖ mgpķsķjķ s7ro.fbo9o"fjf>osgpbgyķjķ/8

+3I

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķsgb Ojtoirobor 

80. ‑5gj fj‖ torfkfjf géķmbgyķjķ/8

8;. 5gj Cut‖u ‑+‖ vo ‑‖ nurukbgrķjng gyjķ cbgj ojtoirojfj iojob mgrgmtorfstf"f jonfrY

88. ‑0jput cgnfji L 5gj Cut‖ .g!bķ"ķ gbtķjng, ifrf! féfj [ L A[ vo éķmķ! féfj +[ L+[ no"orborfjo sg>fp fso 5gj Cut no"orfjf .ubuju/8

8@. $$ ojtoiroborno, mubbgjķbkgygj ifrf!fj gbg.fbo9o"f nurukbgrķ iðstorfjf/8

8A. ‑5bcgtfji‖ jonfrY

89. ‑BO‖ vo ‑BO=OV_‖ mgpķbgrķjng mubbgjķbkgygj ifrf!bor féfj uyiuj cbgj .g"bgjtķ éo!ftborfjobornfr8

8. ‑BO%'‖ vo ‑BO%'=OV_‖ mgpķbgrķjng mubbgjķbkgygj ifrf!bor féfj uyiuj .g"bgjtķéo!ftborfjf géķmbgyķjķ/8

8. KCX tomjcbcdfsf fbo 7rotfboj nfdftgb ojtoiroborfj tokob 7st7jb7"7 jonfrY

@>.  ;1KCX vo #1KCX tomjcbcdfsf fbo 7rotfboj obokgjbgrķ mgr!ķbg!tķrķjķ/8

@7. )KCX ojtoiroborno .ubujgj pgrgkotroborf ð/otboyfjf/8

@0. 'rg.frfk obokgjķ jonfrY

@;. $$ ojtoironomf obokgjbgrķj )KCX obokgjbgrķ s7rkosf nurukujng >gjif prc.bokborfbo mgr!ķbg!ķbķrY

@8. )KCX obokgjbgrķj $$ obokgjbgrķ s7rkosf nurukujng crtgyg éķmg9gm scrujbgrjobornfrY

@@. $$ vo )KCX obokgjbgrg y7m .g"bgjtķ !omfbborfjf ð/otboyfjf/8

@A. I #grégbķ iðstorioyf géķmbgyķjķ/8

@9. O= fbo ygpķbgj crtgm gjct vo crtgm mgtctbu .g"bgjtķbgrķ géķmbgyķjķ/8

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Efboœfm Kgjtķm Novroborf

 (Hckefjgtfcjgb Bcifh)

EÐBÒK

1

Gkgébgr

 

Efboœfm novroborfj tgjķtķbkgsķ vo efboœfm novroborfj tgsgrķk osgsbgrķjķj géķmbgjkgsķ

 

Efboœfm novroborfj irupbgjnķrķbgrgm, aor efr iruptg yor gbgj novroborfj tgjķtķbkgsķ  Mcnbgkg fbo fbifbf novroborfj tgjķtķbgrgm, novroborfj égbķœkg projsfpborfjfj géķmbgjkgsķ

 

Écmbgyķhķ (kubtfpboxor) novrosfjfj égbķœkg projsfefjf tgjķtkgm 

 

!bgyķhķ (nokubtfpboxor) novrosfjfj égbķœkg projsfefjf tgjķtkgm 

 

Mgrœķbgœtķrķhķ vo rftkotfm "œbok #ovroborfjfj tgjķtķbkgsķ, rftkotfm$%gjtķm efrfkfjfj égbķœkg

 projsfefjfj géķmbgjkgsķ

 

Efboœfm novroboro gft uyiubgkg &rjomborfjfj égbķœkg projsfpborfjfj notgybgjnķrķbkgsķ

Egœbķmbgr

  Efrboœfm #ovro 'gsgrķk sgsbgrķ

  Mcnbgkg "bo "bifbf c*fm #ovrobor 

  Mcnbgyķhķbgr 

  Mcn É&!+h+bor 

  Mcn Éovfrfhfbor 

  Écmbgyķhķbgr $ orf -oéfhfbor (%ubtfpboxors $ #gtg -obohtcr)

  !bgyķhķbgr$orf #g.ķtķhķbgr (#okubtfpboxors)

  Mgrœķbgœtķrķhķ vo rftkotfm "œbok #ovroborf

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Efboœfm %gjtķm #ovroborf5<<

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Efboœfm %gjtķm #ovroborf

Ifrfœ

#f*ftgb sfstokborno mubbgjķbgj kgjtķm novroborf, efboœfm (hckefjgtfcjgb) novrobor vo grnķœķbsķrgbķ (so/uojtfgb) novrobor œombfjno irupbgjnķrķbgefbfr<

'okob bc*fm mgpķbgrngj cbuœgj vo novroborfj éķmķœbgrķ nc.rungj ifrfœborfj c gjmf nurukbgrķjgi&ro eobfrbojoj novrobor, ‑efboœfm kgjtķm novroborf‖  cbgrgm gnbgjnķrķbķr< Efboœfm novrobor

 eg!oj, ‑efrboœfm kgjtķm novroborf‖  cbgrgmng fsfkbojnfrfbfr< Efr efboœfm novro7 ifrfœno.fœmojborf, bc*fm mgpķbgr vo éķmķœ no.fœmojborfjnoj cbuœur (5omfb 8<>)< c*fm mgpķ, ifrfœno.fœmojborfjf gbķr, eujbgrķ fœbor vo éķmķœ féfj efbif (no.fœmojbor) +rotfr< ?gpķbgj fœbok, fmfbfifrfœ vorfborfj fœbojkosf vo uyiuj éķmķœ vorfborf œombfjo n&j+œt+r+bkosfnfr<

Śomfb 1.7. Efboœfm kgjtķm novrosf ebcm œokgsķ<

 0frfœ vorfborf7 efr agrfhf mgyjgmtgj ioboj 9j1 sgyķng fmfbf ifrfœ no.fœmojborfjf, éķmķœ vorfborf7 efr agrfhf novroyo nc.ru y&jobkfœ 9k1 sgyķng éķmķœ no.fœmojborfjf féorfr (5omfb 8<>)< 0frfœno.fœmojborfjfj no.orf, 6j sgyķng 4grmbķ fmfbf ifrfœ mckefjgsycjujngj efrfsf cbgefbfr vo aorefrifrfœ mckefjgsycju féfj ygbjķ!hg efr éķmķœ mckefjgsycju kovhuttur<

Écm 4grmbķ uyiubgkg gbgjbgrķ eubujgj efboœfm kgjtķm novroborf, n&rt 4grmbķ irup gbtķjngfjhobojoefbfr=

f$ !nbgkg fbo "b#fbf B!$fm %ovrobor&  Mcnbgyķhķ (jhcnor), Mcn é&!+h+ (nohcnor),Mcn no.fœtfrfhf 2 éovfrfhf (;cno hcjvortor)<

ff$ '!mbg(ķ)ķ %ovrobor* +orf ,oéf)fbor (%ubtfpboxor$#gtg sobohtcr)<

fff$ G-bg(ķ)ķ %ovrobor* +orf ngķtķ)ķbgr (#okubtfpboxor $ #gtg nfstrfeutcr)<

fv$ ķ(g,bgkg vo Grftkotfm "œbokbor fbo "b#fbf %ovrobor& Mgrœķbgœtķrķhķ (hckpgrgtcr),'cpbgyķhķ (gnnor), Éķmgrķhķ (suestrghtcr), Égrpķhķ (kubtfpbfor)<

:grmbķ gbgjbgrng 4grmbķ gkgébgr féfj mubbgjķbgj efboœfm novroborfj tgsgrķkķjng gyjķ fœbok sķrgsķtgmfp onfbfr< Eu jonojbo efboœfm novroborf notgybgjnķrkgngj &jho, efboœfm novroborfjtgsgrķkķjng mubbgjķbgj projsfpborf fjhoboyobfk<

5<7

EfboœfmKgjtķm%ovro,f

Ifrfœ nofœmojborf/j ,g(ķng)

'ķmķœ nofœmojborf/k ,g(ķng

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Efboœfm %gjtķm #ovroborf

mcnu) i&jnorfbfr< Mcnbgjkķœ efbifbor mbgvyo, cptfm cmuyuhu ifef mgrgmtor mgyjgmbgrķjngjobno onfbfr< Eu mgyjgmbgrngj obno onfboj efbifbor -;GG mcnujngnķr< Efbifsgygrķj kormo!ffœbok efrfkfjfj (%"E) fmfbf sgyķbgrbg égbķœkgsķ jonojfybo, -;GG mcnbgjkķœ mgrgmtorbor %"Eifrfœfjno fmfbf sgyķbgrg n&j+œt+r+b+r< orfbor +!orfjno ygpķbgj t+k fœbokbor, %"E1no fmfbf sgyķ4crkujng ioréomboœtfrfbfr<

Mbgvyo,ptfm

muyuhu

Mgrgmtorbornoj-;GG1yo

n&j+œt+rko 

-;GGHnojEfjgry1yo

n&j+œt+rko 

%ormo!f"œbokEfrfkf

!nbg(ķ)ķ K"E!n 'ovfrf)f Ifrfœ

Efjgry1noj-;GG1yo

n&j+œt+rko

-;GG1nojmgrgmtorboron&j+œt+rko 

K!jft8r?g!ķhķ

!n 'ovfrf)f  !n '8->)>  'ķmķœ

Śomfb 1.5. Efbifsgygrng ifrfœtoj éķmķœg efbif éovrfkfjfj ebcm œokgsķ<

%"E1no fœbojoj efbifborfj éovro efrfkboro ubgœkgsķ féfj, vorf +!orfjno ngag &jho ygpķbkķœcbgj fœbokborfj torsf fœbokborfj ygpķbkgsķ ioromfr< Eu jonojbo, %"E1jo mgngr ygpķbgjfœbokborfj mgrœķtbgrķ, tors sķrgsķybg yojfnoj ygpķbķr< 5fknf 5omfb 8<61no ebcm œokg fbo &!otbojojfœbokborfj mcnbgkg fbo fbifbf cbgjbgrķjķ sķrgsķ fbo fjhoboyobfk<

5.7. !nbg(ķ)ķ %ovrobor /j)!nor,

9j1 eft ifrfœbf efr sfstokno, ifrfœfjnomf efbifyf fmfbf sgyķ sfstokfjno mcnbgjkķœ cbgrgm éķmķœķjngvoroj efboœfm novroyo, ‑m!nbg(ķ)ķ novro‖  (ojhcnor) nojfr< :grmbķ efr egmķœ géķsķ fbo, fjsgjbgr

tgrg4ķjngj mcbgyhg gjbgœķbgefboj rgmgk vo mrgmtorborfj 4grmbķ efbifbor œombfjon&j+œt+r+bkosfjf sg.bgygj novrobor, 9mcnbgyķhķ novrobor1 cbgrgm fsfkbojnfrfbfr<

 

N

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6

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Mcnbgyķhķ9j1 eft ifrfœ 9k1 eft éķmķœ

Śomfb 1.?. Mcnbgyķhķ novrosf iojob ebcm œokgsķ<

5<?

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Efboœfm %gjtķm #ovroborf

Mcnbgyķhķ novroborno, aoragjif efr gjng ifrfœbornoj sgnoho efr tgjosf gmtf4 cbgefbfr vo gmtf4cbgj ifrfœo i&ro 9k1 eftbf éķmķœ mcnu +rotfbfr< 5omfb 8<@1no, 9j1 eft ifrfœbf 9k1 eft éķmķœbķ efrmcnbgyķhķ novrojfj ebcm œokgsķ i&r+bkomtonfr<

#&rt ifrfœo sgafp efr mcnbgyķhķjķj éķmķœķ, fmfbf sfstoko 5omfb 8<IHnomf ifef n&j+œt+r+boefbfr<#&rt ifrfœ, éķmķœtg fmf eftbfm fmfbf sgyķ fbo toksfb onfbfr< 0frfœbornoj aoragjif efrfjfj gmtf4 cbkgsķfbo éķmķœbgr uyiuj mckefjgsycju gbķr< Eu novroyo, 90 #frfœtoj 5 éķmķœg m!nbg(ķ)ķ novro,f1nojoefbfr< yjķ œomfbno, 8 ifrfœ vo +é eft éķmķœ mcnujg sgafp efr mcnbgyķhķ novrosf, somf!bfsfstoknoj fmfbf sfstoko mcnbgkg fœbokf ygpgr<

Śomfb 1.0. "mfbf sfstokno éķmķœ voroj mcnbgyķhķ sokecb+, nc.rubum tgebcsu vo uyiubgkgsķ< 

5omfb 8<A1no somf!bf sfstoknoj fmfbf sfstoko mcnbgyķhķ novrojfj nc.rubum tgebcsu vo bc*fmnovrosf i&r+bkomtonfr< 5omfb 8<A1nomf novrono ifrfœbornoj aoragjif efrf gmtf4 (>) cbujhg,éķmķœbgr uyiuj mckefjgsycjng 9>1 no.orborfjo sgafp cbur< Frjo.fj7 @1+j gmtf4 cbkgsķ fboéķmķœbgr O6DN, O>D>, OND> no.orborfjf gbķr<

N ifrfœf aféefr yoro eg.bgjkgkķœtķr< É+jm+, 9O@, O6, O>1 éķmķœbgrķ 9NNN1 no.orborfjo sgafptfr<

yjķ gjng ygbjķ! efr ifrfœfj gmtf4 cbnu.u nurukbgrng mcnbgkg fœbokf ioréomboœtfrfbfr< Efrnoj4g!bg ifrfœfj gyjķ gjng gmtf4 cbkgsķ nurukujng prcebok cbuœur< Eu nurukng éķmķœtg mcnbgjgj

 efbif, ifrfœbornoj 4grmbķ efr no.orf f4gno onor< Eu prcebokf crtgngj mgbnķrkgm ygjf fmf ifrfœfj

N< N7 

N5 N8 

 V< 

 V7 

5<0

%? %5 %7 %< 97 9<

N N N > N NN N > N N >N > N N > N> N N N > >

  2?  M#?G;G

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Mcnbgyķhķ  éķmķœķ

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0frfœbor 

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Efboœfm %gjtķm #ovroborf

gyjķ gjng gmtf4 cbkgsķjķ &jbokom féfj, &jhobfmbf mcnbgyķhķ cbgrgm fsfkbojnfrfboj sfstokuyiubgjķr<

 

Śomfb 1.. -omf!bf sfstoknoj fmfbf sfstoko mcnbgyķhķ novrosf vo nc.rubum tgebcsu<

Fjhobfmbf mcnbgyķhķ sfstokno, efrnoj 4g!bg ifrfœfj gyjķ gjng 9>1 cbkgsķ nurukujng ifrfœbornojygbjķ!hg efrf soéfbfr (oj y+msom no.oro sgafp cbgj) vo soéfboj ifrfœo i&ro éķmķœ vorfbfr< BI>IB,BI->I8, IA@6 vo BIL;>IB ojtoiroborf, &jhobfmbf mcnbgyķhķbķ ojtoirobornfr<

jbum sfstoknoj fmfbf sfstoko mcnbgygj efr mcnbgyķhķ novrosf (E;#), BI>IB ojtoirosfmubbgjķbgrgm ioréomboœtfrfboefbfr< BI>IB ojtoirosf K gnot ifrfœo (gmtf4 9N1) sgafptfr vo eu ifrfœbor>1noj K1g mgngrmf sgyķbgrķ toksfb onorbor< Éķmķœbgrng obno onfboj mcnbgjkķœ no.orbor, ojy+msom no.orbfmbf ifrfœfj torsbojkfœ E;# mcnbu oœno.orfnfr (5omfb 8<J)<

BI>IB ojtoirosfjfj nc.rubum tgebcsu fjhobojfrso7 fbm sgtķrķj éķmķœķjngmf no.orfj NNNN1ķjt+kboyojf (torsf) ygjf >>>> cbnu.u vo eujuj E;# >A1o mgrœķbķm iobnf.f i&r+b+r< "mfjhfsgtķrngmf éķmķœ no.orborfjfj K1juj mgrœķbķ.ķ cbgrgm   >NN> no.orfjfj t+kboyojf ygjf N>>Ncbnu.u eubujur< 'gmfp onoj sgtķrbgrng, gyjķ œomfbno gmtf4 cbgj ifrfœfj mgrœķbķ.ķ cbgj fmfbfsgyķjķj t+kboyojfjfj eubujnu.u i&r+b+r< BI>IB ojtoirosf éķmķœķ, ifrfœbornoj aféefrfjfj gmtf4cbkgnķ.ķ nurukng >>>> cbur vo eu no.or N1ķ toksfb onor<

jbu sfstoknoj E;#1yo mcnbgyķhķ novroborfj oj egsft œombf, nfyct kgtrfsbo ygpķbgj vo gjgatgrmcnbgyķhķ (sCftha ojhcnor) nfyo fsfkbojnfrfboj mcnbgkg novrosfnfr (5omfb 8<B)< Eu œomfbno

ygpķbgj efr mcnbgkg fœbokfjno7 gjgatgrbgrngj efrfsf mgpgtķbnķ.ķ !gkgj, novro mgpgtķbgj

 G<

 G7

 G5

 G8

 G>

 G?

 G0

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5<

G6 G4 G G0 G? G5 G7 G< =5 =7 =<

N N N N N N N N N NN N N N N N > N N >N N N N N > N N > N

N N N N > N N N > >N N N > N N N > N NN N > N N N N > N >N > N N N N N > > N> N N N N N N > > >

ON

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  Efboœfm %gjtķm #ovroborf

gjgatgrg eg.bķ cbgrgm éķmķœķjng uyiuj fmfbf sgyķ +rotfr< Frjo.fj7 @ jcbu gjgatgrg egsķbnķ.ķ!gkgj éķmķœtg 9NN>>1 no.orf cmujurmoj, B jcbu gjgatgrg egsķbnķ.ķ gjng 9N>>>1 éķmķœķ obnoonfbfr<

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Efboœfm %gjtķm #ovroborf

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  Efboœfm %gjtķm #ovroborf

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Efboœfm %gjtķm #ovroborf

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  Efboœfm %gjtķm #ovroborf

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  Efboœfm %gjtķm #ovroborf

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Efboœfm %gjtķm #ovroborf

f$ Éovrfkf ygpķbghgm mcnbgrķj nc.rubum tgebcsu éķmgrķbķr< 0frfœ efbifsf E;# mcnbusgyķbgr cbnu.ujngj ifrfœ no.orborf cbgrgm E;# mcnbu sgyķbgr mubbgjķbķr< Éķmķœ fso yonf pgrégbķi&storionfr< ?onf pgrégbķ i&storio féfj B 4grmbķ efbif ioromtf.fjnoj, nc.rubum tgebcsujng

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  Efboœfm %gjtķm #ovroborf

Ðrjom ?&  E;# mcnbu efr sgyķyķ @ :g!bgbķm (xhoss$taroo) mcnujg  éovfrohom novroyftgsgrbgygbķk<

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Efboœfm %gjtķm #ovroborf

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Efboœfm %gjtķm #ovroborf

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  Efboœfm %gjtķm #ovroborf

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  Efboœfm %gjtķm #ovroborf

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Efboœfm %gjtķm #ovroborf

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  Efboœfm %gjtķm #ovroborf

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Efboœfm %gjtķm #ovroborf

Śomfb 1.51. Écmbgyķhķbgrng nc.rubum vo uyiubgkg tgebcbgrķjķj cbuœturubkgsķ< 

bno onfboj uyiubgkg tgebcsujuj Ix> %P novrosfjo uyiubgjkgsķ fbo, 5omfb 8<6K1nomfnovro cbuœur< buœgj novrono, E vo ; no.fœmojborf soéko ifrfœborfjo uyiubgjķrmoj, écmbgyķhķ

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  Efboœfm %gjtķm #ovroborf

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  Efboœfm %gjtķm #ovroborf

Śomfb 1.?5. c*fm oœftbf.fj écmbgyķhķ fbo ioréomboœtfrfbkosf<'gsgrķk sķrgsķjng iojob cbgrgm bc*fm novro tgsgrķkķjng mubbgjķbgj fœbok sķrgsķ tgmfp onfbfr<'gsgrķk gœgkgbgrķjķ &rjom uyiubgkg fbo fjhoboyobfk<

Ðrjom 4&  œg.ķng tgsgrķk &!obbfmborf vorfboj bc*fm novroyf BI>A> kubtfpbomsķr ojtoirosfmubbgjgrgm ioréomboœtfrobfk<

'gsgrķk &!obbfmborf = M+é+m efr œfrmotfj >N afssosf eubujkgmtg vo aor afsso, afssongrbgr

tcpbgjtķsķjng afsso sgafefjo efr cy agmmķ vorkomtonfr< >N afssojfj I afssongr grgsķjngmf pgybgœķkķ7 Lfssongr D> afsso , Lfssongr ED6 afsso, Lfssongr ;D@ afsso, Lfssongr #DIafsso œombfjnonfr< Lfssongrbgrķj aor efrfjfj &j+jno, afsso sgyķsķ crgjķjķ toksfb onoj vo9ovot1 féfj mgpgjgj, 9agyķr1 féfj géķbgj efr gjgatgr eubujkgmtgnķr<

?gpķbgj cybgkgbgrng, ovot cyu voroj tcpbgk afsso sgyķsķjķ i&storoj efr novro tgsgrbgjkgsķfstojkomtonfr< E+t+j afssongrbgrķj mgrgr féfj, ovot cyu mubbgjkgsķ agbfjno omrgjng 9N1i&r+bkosf yotorbfnfr< 0orombf sgyķyķ i&storkom féfj, B pgrégbķ i&storio vo mcn é&!+h+mubbgjķbghgmtķr< Lfssongrbgrķj gjgatgrbgrķjngj ioboj vorfborf BIIB mcn é&!+h+ ojtoirosfjnomubbgjķbghgm œomfbno E;#1yo n&j+œt+roj efboœfm novroyf, n&rt gnot 8x> %ubtfpbomsķr ojtoirosf(BI>A>) mubbgjgrgm ioréomboœtfrobfk (5omfb 8<@@)<

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Efboœfm %gjtķm #ovroborf

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-gyķsgb sfstokborno eubujgj efrfkbor grgsķjng vorf fbotfkf iojobno pgrgbob cbgrgm ygpķbķr<orfborfj u!gm kosg4oborno fbotfkfjno fso, pgrgbob fbotfkfj pgagbķ cbkgsķ jonojf fbo sorf vorffbotfkf mubbgjķbkgmtgnķr< Eu nuruk, pgrgbobnoj sorfyo vorf n&j+œ+k+ fatfyghķjķnc.urkgmtgnķr<

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vo sgyķhķ novroborf mubbgjķbgrgm ioréomboœtfrfboj efboœfm bc*fm novrosfnfr (5omfb 8<@J)< -omf! eftbfm pgrgbob$sorf vorf n&j+œ+k+k féfj, pgrgbob efbifbor eubujnu.u efrfknojkubtfpboxor1fj ifrfœborfjo uyiubgjķr< N$B grgsķjng sgygj vo fmfbf no.orborf sķrgybg éķmķœ cbgrgmvoroj sgyķhķ novrosf éķmķœķ, kubtfpboxorfj soéko ifrfœborfjo uyiubgjķr< -oéko ifrfœborfjnomfno.orboro eg.bķ cbgrgm, ifrfœbornoj efrfsfjnomf efbif kubtfpboxorfj éķmķœķjng i&!+m+r< 0frfœborsķrgsķybg éķmķœtg i&!+moho.fjnoj, pgrgbob efbif sorf efbif œombfjo n&j+œt+r+bk+œ cbur (5omfb8<@J<e)<

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Efboœfm %gjtķm #ovroborf

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  Efboœfm %gjtķm #ovroborf

Śomfb 1.?4. -orf$pgrgbob vorf n&j+œ+k+ novrosf vo ]>N>>N>N>R ifrfœf féfj éķmķœ ngbig œomfbborf<

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mgynonfhfsfjnomf no.orbor éķmķœtg i&!+m+r< %ubtfpbomsķr éķmķœķjngmf no.orbor mcn éovfrfhfojtoirono yonf pgrégbķ i&storiono i&!+mohom œombo n&j+œt+r+b+r<

BI>AB %ubtfpbomsķr ojtoirosfjfj mubbgjķbnķ.ķ yorbornoj efrfsf, fmf E;# sgyķhķjķj aoragjif efrfsfjfj féorf.fjf, tomefr mcn é&!+h+ 2 s+r+h+ vo # i&storio sotf mubbgjgrgmi&r+jt+bokomtfr< %ubtfpbomsķrķj vorf y&jbojnfrko gkghķybg mubbgjķbnķ.ķ fmf egsgkgmbķ fmfsgyķhķ novrosfjfj ygpķsķ, 5omfb 8<@81no i&r+bkomtonfr<

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Efboœfm %gjtķm #ovroborf

Śomfb 1.?6. :grmbķ sgyķbgrķj gyjķ i&storiono i&r+jt+bojkosf<

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9hbchm1 sfjygbf fbo s+r+b+r< -gyķhķ -oéko (;cujtor -oboht) agttķ 9>1 cbnu.u !gkgj, > jcbusgyķhķjķj éķmķœbgrķ kubtfpbomsķrbgr +!orfjnoj ioéorom mcn é&!+h+ 2 s+r+h+ novroboro ubgœķr voi&storioborno i&!+m+r< Eujuj jonojf, mubbgjķbgj kubtfpbomsķrķj efrefrfjnoj eg.ķksķ! fmf gnotIx> %P1g sgafp cbkgsķ vo soéko ifrfœfjfj no.orfjo i&ro eujbgrngj efrfjfj gmtf4 agboiobkosfnfr (5omfb 8<@K)< -gyķhķ soéko ifrfœf 9N1 cbnu.u !gkgj, 6 jcbu sgyķhķ éķmķœbgrķkubtfpbomsķrbgr +!orfjnoj ioéor vo i&storioborno eobfrfr<

jbgtķbgjbgrngj, sgyķhķbgrngj efrfsfjfj féorf.fjfj sgyķhķ soéko ifrfœfjfj mcjtrcb+ gbtķjngi&storioborno cmujghg.ķ eubujur< buœgj fœbok, ‑vorf (8jbornfrko /ngtg r!Otfj#‖ cbgrgmfsfkbojnfrfbfr< orf y&jbojnfrko fœbokfjfj ygyiķj mubbgjķbkg yorborfjnoj efrfsf nf*ftgbsggtbornfr<

%ubtfpbomsķrķj nf*ftgb sggtborno mubbgjķbkgsķybg écm sgyķng 4grmbķ efbifjfj (sggtbor, gybgr,

i+jbor v<e<) gyjķ i&storiono i&!+mkosf k+km+j cbur< Eu mubbgjķk7 !gkgj pgybgœķkķœombfjno mubbgjķœķj ygjķ sķrg, novrojfj mgrkgœķmbķ.ķ, agtbgrķj sgyķsķ vo i+é mubbgjķkķjnggvgjtg* sg.bgr<

3grgbob efbifborfj sorfyo éovrfbkosf (3grgbob$tc$-orfgb ;cjvorsfcj) vo ygpķbghgm fœbokborfjsķrgbgjkgsķ (porgtfcj -o/uojhfji), kubtfpbomsķr novroborfj nf.or mubbgjķk gbgjbgrķnķr<jhgm eu mcjubgr :bfp$:bcp vo nf*ftgb$gjgbci éovfrfhf mcjubgrķjķ féornf.fjnoj, fbifbf mcjubgrķjgéķmbgkgsķjngj scjrg gjbgtķbgefbfr<

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  Efboœfm %gjtķm #ovroborf

 

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Śomfb 1.?1. %ubtfpboxor1fj vorf y&jbornfrko gkghķybg mubbgjķbkgsķ<

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Śomfb 1.?2. ?otmfbojnfrko vo soéko ifrfœborfjo sgafp BI>AB kubtfpbomsķr ojtoirosf ebcm œokgsķ<

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Efboœfm %gjtķm #ovroborf

5omfb 8<IN<h1nomf novrono, tom efr ifrfœtoj uyiubgjgj efbifyf soéko ifrfœf ygrnķkķybg fmféķmķœtgj efrfsfjo y&jbojnfroj nokubtfpboxor bc*fm œokgsķ i&r+bkomtonfr< -oéko ifrfœfjfj 9N1ygpķbkgsķ nurukujng #>  mgpķsķ gmtf4 cbup vorf ifrfœfjnomf efbifyf ON  éķmķœķjg gmtgrķrmoj,soéko ifrtfœfjfj 9>1 cbkgsķ nurukujng vorf ifrfœfjnomf efbif #> mgpķsķ +!orfjnoj O> éķmķœķjggmtgrķbķr<

>x8 nokubtfpboxor novrosfjno tom efr agttgj ioboj ifrfœ vorfsf, soéko ifrfœborfjfj no.orborfjoi&ro 8 gnot éķmķœtgj efrfsfjo y&jbojnfrfbfr< 0frfœfj agjif éķmķœg nc.ru y&jbojnfrfboho.fjo,soéko ifrfœborfjfj mckefjgsycjujg i&ro mgrgr vorfbfr (5omfb 8<I>)<

Aoéko m!nO 'ķmķœbgrA5 A7 A< =6 =4 = =0 =? =5 =7 =<

N N N N N N N N N N GN N > N N N N N N G NN > N N N N N N G N NN > > N N N N G N N N> N N N N N G N N N N> N > N N G N N N N N

> > N N G N N N N N N> > > G N N N N N N N

G= 0frfœ vorfsf

Śomfb 1.07. >1noj 8 agttg nokubtfpboxor novrosf nc.rubum tgebcsu<

5omfb 8<I61no, ‑7 Cgttgj 1 Cgttg nokObtfFbom,ķr1 cbgrgm fsfkbojnfrfboj vo > agttgj iobojifrfœ vorfborfjf, 8 4grmbķ éķmķœtgj efrfsfjo yorboœtfroj nokubtfpboxor novrosf bc*fm œokgsķi&r+bkomtonfr< -oéko ifrfœborfjfj aor efr mckefjgsycjujng, 91 mgpķbgrķjngj efrfsfyotmfbojnfrfbfr vo ifrfœtomf vorfjfj éķmķœg gmtgrķbkgsķ sg.bgjķr< Frjo.fj, -6->-N D NNNnurukujng ygbjķ!hg N jcbu 91 mgpķsķ yotmfbojnfrfbfrmoj, -6->-N DN>>1no @ jcbu91 mgpķsķ yotmfbojnfrfbfr<

5omfb 8<I61no i&r+boj nokubtfpboxor novrosf, @ agttgj 8 agttg mcn é&!+h+ novrosfjo écm eoj!or< ?gbjķ!hg, mgpķbgrg 9G1 ifrfœ cbgrgm n&rn+jh+ efr ifrfœ ombojkfœtfr< Eujujbg eorgeor, efrécm mcn é&!+h+ ojtoirosf, mcn é&!+h+ novroborfjo 4g!bgngj efr ifrfœ cbgrgm ombojojyotmfbojnfrko ifrfœfjo sgafptfr< Eu nurukng7 mcn é&!+h+ novronomf yotmfbojnfrko ifrfœfnokubtfpboxor1nomf 9G1 vorf ifrfœf vo mcn é&!+h+j+j , E, ; ifrfœborf no nokubtfpboxor1nomfsoéfhf ifrfœbor cbgrgm mubbgjķbķrsg, mcn é&!+h+ ojtoiroborfj nokubtfpbomsķr cbgrgmmubbgjķbgefboho.f scjuhu crtgyg éķmgr<

jtoiro novro +rotfhfborf +rottfmborf eu tfp kgb!okoborf, ‑m!n é8->)> H nokObtfFboDor‖ cbgrgmgnbgjnķrkgmtg vo obokgj mubbgjķhķ tgrg4ķjngj fsto.o uyiuj cbgrgm mubbgjķbkgmtgnķr< Frjo.fj,BI->@8 ojtoirosf aok 81no > mcn é&!+h+ cbgrgm, aok no >x8 nokubtfpboxor cbgrgmmubbgjķbgefbfr (5omfb 8<I6)< jtoironomf >  yotmfbojnfrko ifrfœf G vorf ifrfœf cbgrgm

mubbgjķbķrmoj, nf.or fmf yotmfbojnfrko ifrfœf gmtf4 mcjuk gbghgm œomfbno eg.bgjķr<

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Efboœfm %gjtķm #ovroborf

Śomfb 1.05. >1noj 8 agttg nokubtfpbomsķr bc*fm novrosf<

jtoiro nokubtfpboxor cbgrgm mubbgjķbķrmoj, 6>N ifrfœborf soéko ifrfœborf cbgrgm mubbgjķbķr<Frjo.fj, soéko ifrfœborfjfj NNN cbnu.u efr nurukng ygbjķ!hg ON  éķmķœķ gmtf4 cburmoj,nf.orborf 9>1 no.orfjf gbķr< ON éķmķœķ >1fj 9N1 no.orfjf gbkgsķybg 9N1, >1fj 9>1 cbkgsķnurukujng 9>1 cbur< #f.or efr noyfœbo, ON éķmķœķ >Hfj gbnķ.ķ no.orf tgmfp onormoj (G ifrfœfjnocbnu.u ifef), nf.or éķmķœbgr 9>1 mcjukujng eubujur< yjķ œomfbno, 6>N soéfhf ifrfœborfjo4grmbķ efr mckefjgsycj uyiubgjnķ.ķjng fbifbf éķmķœ G vorf ifrfœfjfj gbnķ.ķ no.orf tgmfp onor<

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  Efboœfm %gjtķm #ovroborf

bc*fm novroborfjo iojobno vorfboj efr fsfknfr<

.7. grœķbgœtķrķ)ķbgr /L!kFgrgt!r,

"mf sgyķyķ mgrœķbgœtķrgj vo e+y+mb+mborfjf eobfrboyoj efboœfm novrobor, 9e>(>mb>mmgrœķbgœtķrķ)ķ1 (kgijftuno hckpgrgtcr) cbgrgm fsfkbojnfrfbfr< Mgrœķbgœtķrkg scjuhu7 [E,DE voyg ZE1yf eobfrboyoj +é mcjuk fbo eobfrbojfr< j ygyiķj mubbgjķk yorborf rftkotfmc*fm novrobornfr< Mgrœķbgœtķrķhķ novroborf, ifrfœborf gyjķ voyg 4grmbķ fmoj éķmķœ voroj mcjtrcbnovroborfjno vo fmfbf mgrœķbgœtķrkgjķj mubbgjķbnķ.ķ gnros eubkg novroborfjno mubbgjķbķr<

j egsft mgrœķbgœtķrķhķ novrosf, tom eftbfm vo E sgyķbgrķjķj oœftbfm nurukuju mgrœķbgœtķrgjmgrœķbgœtķrķhķ novrosfnfr< Eu novrono DE nurukujng éķmķœbgrngj efrfsf 9>1 cburmoj, ≬Enurukujng nf.orf 9>1 cbur (5omfb 8<IA)<

Śomfb 1.0. Efr eftbfm fmfsgyķjķj

mgrœķbgœtķrkgsķ<

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505

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Efboœfm %gjtķm #ovroborf

éķmķœ cbuœturgj bc*fm obokgjnķr (5omfb 8<IB)< jtoiro, mgrœķbgœtķrķbghgm sgyķ ifrfœborf fbo efrbfmtoécm sgyķng ojtoirojfj efr grgng mubbgjķbkgsķjg fkmgj tgjķygj mgrœķbgœtķrkg ifrfœborfjosgafptfr< jtoirojfj n&rt eftbfm mgrœķbgœtķrkg fœbokfjo gft nc.rubum tgebcsu 5omfb 8<I81ngi&r+bkomtonfr<

Śomfb 1.06. BI8A mgrœķbgœtķrķhķ ojtoirosf bc*fm sokecb+<

#&rt eftbfm e+y+mb+m mgrœķbgœtķrķhķ novrosf, ifrfœborfjo uyiubgjgj @6>N sgyķbgrķ fbo Eifrfœborfjo uyiubgjgj E@E6E>EN sgyķbgrķjķ mgrœķbgœtķrķr< E+t+j eftborno f  fbo Ef  no.orborfoœftso, fmf sgyķ efrefrfjo oœfttfr<

-gyķbgrķ mgrœķbgœtķrkg fœbokfjno, &jho @ vo E@ eftborfjf mgrœķbgœtķrķr< .or @[E@  fso, nf.or eftborfj mgrœķbgœtķrkgsķjg iorom ycmtur< .or @DE@ fso, ngag n+œ+m egsgkgm no.orfjo sgafpfmf eftfj mgrœķbgœtķrķbkgsķjg ioéfbfr< Mgrœķbgœtķrkg fœbokfjo, oœft cbkgygj efr egsgkgm éf4tfjoubgœķjhgyg mgngr novgk onfbfr< 1jķj fbifbf agjosf 9>1vo E1jfjmf 9N1 fso [E scjuhujg, 1jķjfbifbf agjosf 9N1 vo E1jfjmf 9>1 fso, ZE scjuhujg vgrķbķr< .or e+t+j egsgkgmbgrngmf

no.orbor efrefrfjo oœftso, DE scjuhujg ubgœķbķr< Mgrœķbgœtķrkg scjuhujng vgrķbgj mgrgrg i&rofbifbf éķmķœ 9>1 ygpķbķr (5omfb 8<I8)<

#&rt efttoj ngag e+y+m sgyķbgrķj mgrœķbgœtķrķbkgsķ féfj, fmf voyg ngag 4g!bg sgyķng n&rt eftbfmmgrœķbgœtķrķhķ mgsmgt œombfjno eg.bgjgefbfr< "mf mgrķœtķrķhķjķj mgsmgt œombfjno eg.bgjkgsķnurukujng, n+œ+m egsgkgmbķ eftborf mgrœķbgœtķrgj novro éķmķœbgrķ, y+msom egsgkgmbgrķmgrœķbgœtķrgj novrojfj fbifbf ifrfœborfjo 5omfb 8<IK1ngmf ifef eg.bgjķr< Eu eg.bgjtķ fbo, 8 eftbfmfmf sgyķjķj mgrœķbgœtķrķbkgsķ fœbokf ioréomboœtfrfboefbfr<

-omf! eftfj mgrœķbgœtķrķbkgsķ fœbokfjno, mgsmgt ifrfœborfj no.orborfjo egmķbkgmsķ!ķj y+msomno.orbf n&rt eft mgrœķbgœtķrķbķr< ?+msom no.orbfmbf eftborfj oœft cbkgsķ nurukujng, n+œ+mno.orbf n&rt eftf mgrœķbgœtķrgj ojtoirojfj éķmķœķjķj uyiubgjnķ.ķ mgsmgt ifrfœborfno.orbojnfrfborom, 8 eftfj mgrœķbgœtķrķbkgsķ scjuhuju voroj éķmķœbgrng mgrœķbgœtķrkg scjuhu

cmujur<

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  Efboœfm %gjtķm #ovroborf

E+y+mb+m mgrœķbgœtķrķhķbgr, efbifsgygrbgrng (kfmrcfœbokhfbf sfstokborno) gnros mcn é&!+h+novroborfj efr pgrégsķ cbgrgm mubbgjķbķr< Eu mubbgjķkng, efr mgrœķbgœtķrķhķ efbifsgygrķj kormo!ffœbok efrfkfjfj +rottf.f gnros mcnu fbo eobbomto eubujgj gnrosfj mcnuju mgrœķbgœtķrķr<Mgrœķbgœtķrķbgj mcnbgr oœftso, fstojfboj fœbokf ygpkgm +!oro fbifbf novroyf gmtf4 agbo iotfrfr<

  G?*E?  G5*E5  G7*E7  G<*E< GWE GUE G\E =GWE =GUE =G\E

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 @DE@  6DE6  >DE>  NZEN

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  N N N

  > N N  N > N  > N N  N > N  > N N  N > N  > N N  N > N  > N N  N > N  N N >

  N N >Śomfb 1.01. #&rt eftbfm mgrœķbgœtķrkg fœbokf nc.rubum tgebcsu<

 

Śomfb 1.02. Mgrœķbgœtķrķhķbgrķj mgsmgt eg.bgjkgsķ<

Mgrœķbgœtķrķhķ novrosfjo &rjom cbgrgm7 5omfb 8<AN1nomf 4ctcmcpf kgmfjgsķ mcjtrcb novrosfjfvoroefbfrf!< BI8A ojtoirosf mubbgjķbgrgm cbuœturubgj novrono7 éomfbkom fstojoj 4ctcmcpfsgyķsķjķ toksfb onoj no.or 9E1 ifrfœfjo, éomfboj 4ctcmcpfborf sgygj novrojfj éķmķœķ fso 91ifrfœfjo uyiubgjķr< "mf sgyķ efrefrfjo oœft cbujhgyg mgngr ZE éķmķœķ 9>1 cbur vo 4ctcmcpféomfkf novgk onor< vo E ifrfœborfjnomf no.orborfj gyjķ cbkgsķ nurukujng7 9DE1 éķmķœķ9>1 cbur vo 4ctcmcpf éomfk fœbokf nurur<

500

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Efboœfm %gjtķm #ovroborf

Śomfb 1.<. :ctcmcpf kgmfjgsķ mcjtrcb novrosf<

.5. Grftkotfm "œbok %ovroborf

'cpbgkg, éķmgrkg, égrpkg, e&bko fœbokborfjf ygpgj novroboro, 9Grftkotfm "œbok %ovroborf‖nojfr< Efbifsgygrbgrng vo aosgp kgmfjgbgrķjng, tokob fœbokbor tcpbgkg vo éķmgrtkgfœbokborfnfr< Égrpkg fœbokf7 tcpbgkg fœbokfjfj tomrgrbgjkgsķ, e&bko fœbokf fso7 éķmgrtkgfœbokfjfj tomrgrbgjkgsķ fbo ygpķbķr< Eu jonojbo tcpbgyķhķ vo éķmgrķhķ novroborfjf notgybķ cbgrgmfjhoboyoho.f!<

.5.7. !Fbg(ķ)ķ %ovroborf /Gnnor,

Efbifsgygrbgr vo aosgp kgmfjgbgrķ, aor efrf écm sgyķng efto sgafp fmf gnot fmfbf sgyķyķ tcpbgkgfœbokfjf ioréomboœtfrfrbor< j egsft tcpbgkg fœbokf n&rt cbgsķ tokob fœbokf féorfr<

N\NDN,

N\>D>,

>\ND>,

>\>D>N, (bno >, 'cpbgk D N)

50

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  Efboœfm %gjtķm #ovroborf

"bm +é fœbokno tom egsgkgmbķ efr sgyķ obno onfbfrmoj, scj fœbokno fmfjhf egsgkgm crtgyg éķmgrvo fmfjhf egsgkgm ‑obno eftf‖  (hgrry eft) cbgrgm fsfkbojnfrfbfr< "mf eftf tcpbgygj novrobor9(grķk t!Fbg(ķ)ķ1 cbgrgm, obno no.orfjf toksfb onoj eftf +é+jh+ eft cbgrgm no.orbojnfrfboj vo+é eftfj tcpbgkķjķ ygpgj novrobor fso 9tgk t!Fbg(ķ)ķ‖ cbgrgm fsfkbojnfrfbfr< ?grķk tcpbgyķhķtorfkf, tgk tcpbgyķhķyķ cbuœturkgm féfj fmf tgjo ygrķk tcpbgyķhķ mubbgjķbkgsķjngj fborf

iobkomtonfr< ?grķk vo tgk tcpbgyķhķ tgsgrķk projsfpborfjf géķmbgnķmtgj scjrg tcpbgyķhķuyiubgkgbgrķjķ fjhoboyobfk<

f 9grķk !Fbg(ķ)ķ /XgbN Gnnor ^ XG

0frfœfjo uyiubgjgj fmf eftf tcpbgyķp, scjuhu tcpbgk (suk) vo obno (hgrry) œombfjno vorojtcpbgyķhķ novrosf, 9(grķk t!Fbg(ķ)ķ1 cbgrgm fsfkbojnfrfbfr (5omfb A>)< ?grķk tcpbgyķhķ novrosf,nc.rubum tgebcsujngj obno onfboj 4cjmsfycjbgrķj bc*fm novrosfjfj éf!fbkosf fbo cbuœturubur<buœgj novrono, 9'cpbgk1 vo 9bno1 no.orborfjf toksfb onoj fmf éķmķœ eubujur (5omfb 8<A6)<

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Śomfb 1.7. ?grķk tcpbgyķhķ sokecb+ vo nc.rubum tgebcsu<

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 /g /e

Śomfb 1.5. ?grķk tcpbgyķhķ novrosf bc*fm œokgbgrķ<

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Efboœfm %gjtķm #ovroborf

ff gk !Fbg(ķ)ķ /Obb Gnnor G

Efr eftbfm +é gnot sgyķjķj tcpbgkķjķ ioréomboœtfroj vo scjuhu - vo ; cbgrgm fsfkbojnfrfboj fmféķmķœ agttķjng i&storoj n+!ojom, 9gk !Fbg(ķ)ķ1 cbgrgm fsfkbojnfrfbfr (5omfb 8<A@<g<)<0frfœbornoj fmfsf tcpbgjghgm eftborf i&storfrmoj, +é+jh+ ifrfœ efr &jhomf n+œ+m no.orbfmbf

 egsgkgmtgj ioboj obnoyf (hgrry) f4gno otkom féfj mubbgjķbķr< 'gk tcpbgyķhķ novrosf tgsgrbgkgmféfj 5omfb 8<A@<e1nomf nc.rubum tgebcsujngj 4gyngbgjķbgefbfr<

  /g /e

Śomfb 1.?. 'gk tcpbgyķhķ sokecb+ vo nc.rubum tgebcsu<

'cpbgyķhķ tgsgrķkķjng, nc.rubum tgebcsujng ifrfœ no.fœmojborfjfj gbgefboho.f no.orborsķrgbgjnķmtgj scjrg, mckefjgsycjbgrng eubujgj 9>1 no.orborf Eccbogj murgbbgrķjg i&rotcpbgjķp, scjuébgr - vo ;c mcbcjbgrķjg yg!ķbķr< #ovrono fmf éķmķœ eubujnu.ujngj, aor efr éķmķœféfj uyiuj cbgj no.orborf féoroj s+tujbgr cbuœturubur vo s+tujbgrngmf no.orbor Mgrjguiaagrftgbgrķjg tgœķjķr< Mgrjguia agrftgbgrķjngj bc*fm oœftbfmbor obno onfbfr vo obno onfbojoœftbfmborfj bc*fm œokgbgrķ éf!fbfr<

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Śomfb 1.0. 'gk tcpbgyķhķ tgsgrķkķ féfj Mgrjguia agrftgbgrķjķj cbuœturubkgsķ<

5omfb 8<A@1nomf nc.rubum tgebcsujngmf no.orborfj Mgrjguia agrftgbgrķjg tgœķjkgsķ fbo 5omfb8<AI1nomf agrftgbgr obno onfbfr< Lgrftgbgrngj obno onfboj - vo ;c oœftbfmborfjo gft novroborfjéf!fbkosf fbo, 5omfb 8<AA1tomf bc*fm novrobor cbuœur<

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  Efboœfm %gjtķm #ovroborf

Śomfb 1.. 'gk tcpbgyķhķ bc*fm novrosf<

'gsgrķk scjuhujng éf!fboj bc*fm novroborbo ygpķbgefbohom tgk tcpbgkg fœbokf, fmf gnot ygrķktcpbgyķhķ vo efr 9?1 mgpķsķ mubbgjķbgrgm ioréomboœtfrfboefbfr (5omfb 8<AJ)< Eu œomfbnoioréomboœtfrfboj novrono7 fmfjhf ygrķk tcpbgyķhķjķj - éķmķœķ, fbm ygrķk tcpbgyķhķjķj - éķmķœķ fbo;1jfj F!ob$?1yg uyiubgjkgsķjķj scjuhunur<

Śomfb 1.4. "mf ygrķk tcpbgyķhķ vo 9?1 mgpķsķ fbo tgk tcpbgyķhķ obno onfbkosf<

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Efboœfm %gjtķm #ovroborf

Eu nurukng tcpbgk éķmķœķ7

-D; ⊟ (⊟E)

-D;H (HE\EH) \ ;(EH\EH) H

  D;HHE\;HEH\;S(HE)H<(EH)Hl

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scjuhuju vorfr< bno éķmķœķ fso7

;cD;H (EH\E) \ EH DEH;\E;\E

œombfjno yg!ķbgefbfr<

fff grgbob !Fbg(ķ)ķ &

?grķk vo tgk tcpbgyķhķ fœbokborfjno, tom eftbfm sgyķbgrķj tcpbgkķ fœbokf géķmbgjnķ< Eujujbg eorgeor, aor efrf écm sgyķng fmfbf egsgkgm féoroj fmf sgyķjķj tcpbgjkgsķ fœbokfjf gyjķ gjngygpgj novroboro fatfygé vgrnķr< Efbifsgygrbgrng vo aosgp kgmfjgbgrķjng écm sgyķng efto sgafpfmf sgyķyķ gyjķ gjng tcpbgygj novrobor 9Fgrgbob t!Fbg(ķ)ķ1 cbgrgm fsfkbojnfrfbfr< 5omfb8<AB1no, aor efrf eoœ eftbfm fmf sgyķyķ tcpbgygj pgrgbob tcpbgyķhķjķj ebcm œokgsķ i&r+bkomtonfr<Eu novrono tcpbgkg fœbokf, oj n+œ+m egsgkgmbķ efbifborfj tcpbgjkgsķ fbo egœbgr<

j n+œ+m no.orbf egsgkgmtg ;c eftf 9N1 cbnu.ujngj7 c vo Ec no.orborf tcpbgjgrgm -N vo ;N

éķmķœbgrķjg i&jnorfbfr< Eujuj nķœķjngmf egsgkgmbgrķ tcpbgkgm féfj, f, Ef, ;f eftbor tcpbgjgrgmfbifbf -  vo ;  éķmķœbgrķjng i&storfbfr< ;f  éķmķœķjngmf efbif, efr scjrgmf y+msom egsgkgmno.orbfmbf eftborfj tcpbgjnķ.ķ :f1jķj ;f ifrfœfjo uyiubgjķr<

Śomfb 1.6. Eoœ eftbfm fmf sgyķjķj pgrgbob tcpbgyķhķ fbo tcpbgjkgsķ<

-cjué cbgrgm7 aor efr :, ifrfœboro uyiubgjgj +é eftfj (, E vo ;) tcpbgkķjķ ygpgrgm, tcpbgk

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  Efboœfm %gjtķm #ovroborf

scjuhuju - vo ; éķmķœbgrķjng i&storfr< Frjo.fj, :@  tgk tcpbgyķhķ novrosf @, E@ vo ;@

no.orborfjf tcpbgygrgm scjuhu ;I vo -@ éķmķœbgrķjng i&storfr<

?gpķbgj &rjomto, eoœ eftbfm fmf sgyķjķj tcpbgjkgsķ géķmbgjnķ< 0+j+k+! efbifsgygrsfstokborfjno gyjķ gjng tcpbgjghgm sgyķbgr 8 fbo JI eft grgsķjng no.fœkomtonfr<

3rgtfmto t+k :1bgrngmf tcpbgkg fœbokf gyjķ gjng ygpķbnķ.ķjngj, pgrgbob tcpbgyķhķbgr écm aķ!bķfœbok ygpgrbgr< 3fygsgng BI8@, BI68@, BI-8@ vo BIL;68@ (;%-) ifef 4grmbķ ygpķngn&rt eftbfm pgrgbob tcpbgyķhķbgr eubujkgmtgnķr< 5omfb 8<A8<g1ng BI-68@ tfpf n&rt eftbfm pgrgbobtcpbgyķhķjķj 4cjmsfycj œokgsķ i&r+bkomtonfr< #&rt eftbfm pgrgbob tcpbgyķhķ fmf gnot n&rt eftbfmifrfœo (@,6,>,N  vo E@,E6,E>,EN) vo oj n+œ+m egsgkgmbķ eft (-E) féfj mubbgjķbgj ;c

ifrfœfjo sgafptfr< Éķmķœ cbgrgm7 n&rt gnot tcpbgk éķmķœķ (- @, -6, ->, -N) fbo efrbfmto oj y+msom egsgkgmbķ eftfj obno éķmķœķ cbgj ;I eubujur<

 

g) BI-8@ sokecb+ e) 3grgbob tcpbgyķhķbgrķj mgsmgt eg.bgjtķsķ<Śomfb 1.1. 3grgbob tcpbgyķhķ sokecb+ vo pgrgbob tcpbgyķhķbgrķj mgsmgt eg.bgjkgsķ<

3grgbob tcpbgyķhķbgrķ mgsmgt eg.bgygrgm, ngag 4g!bg sgyķngmf eftborf pgrgbob cbgrgm tcpbgkgmk+km+jn+r< 5omfb 8<A8<e1no fmf gnot n&rt eftbfm pgrgbob tcpbgyķhķjķj ebcm œokgsķi&r+bkomtonfr< Mgsmgt eg.bgjgj pgrgbob tcpbgyķhķbgrng, sg.ngmf tcpbgyķhķ n+œ+m egsgkgmno.orbfmbf n&rt eftf tcpbgygrgm, eftborfj tcpbgkķjķ vo tcpbgk scjuhujng cbuœgj obno eftfjf éķmķœcbgrgm vorfr<

?+msom no.orbfmbf eftborf tcpbgygj fmfjhf pgrgbob tcpbgyķhķ, obno ifrfœf cbgrgm sg.ngmftcpbgyķhķngj obno onfboj ;I éķmķœķjķ mubbgjķr vo eftborfj tcpbgkķ fbo obno efbifsfjf éķmķœ cbgrgmvorfr< ;8 éķmķœķ, fmfjhf pgrgbob tcpbgyķhķjķj fœbokbor scjuhujng obno ottf.f obno no.orfjfi&storfr< Eu éķmķœ obno efbifsf cbgrgm ngag scjrgmf tcpbgyķhķbgr féfj mubbgjķbgefbfr<

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Efboœfm %gjtķm #ovroborf

Ðrjom 6 & #&rt eftbfm pgrgbob tcpbgyķhķ novrosf fbo, >N>> vo >N>N fmfbf sgyķbgrķjķ tcpbgkgfœbokfjf ygpgbķk<

Lorefr tgk tcpbgyķhķyg uyiubgjgj sgyķbgr fbo, obno ifrfœborfjnoj ioboj no.or tcpbgjķr<'cpbgkg scjuhu fbifbf tcpbgk (-) vo obno (;) éķmķœbgrķjg i&jnorfbfr< '+k tgk tcpbgyķhķbgrngcbuœgj no.orborfj yg!ķbkgsķ fbo 5omfb 8<AK1ngmf no.orbor cbuœur<

Śomfb 1.2. #&rt eftbfm pgrgbob tcpbgyķhķ uyiubgkgsķ<

Ðrjom 1 & N>>> \ >>NN fœbokfjf n&rt eftbfm pgrgbob tcpbgyķhķ fbo ygpkgm féfj iorombf novroyféf!orom, fœbok scjuébgrķjķ i&storobfk<

'cpbgjghgm sgyķbgr, tgk tcpbgyķhķbgrķj ifrfœborfjo uyiubgjgrgm éķmķœbgrķ yg!ķbķrsg 5omfb8<JNHngmf no.orbor eubujur<

Śomfb 1.4<. 3grgbob tcpbgyķhķ fbo &rjom tcpbgkg fœbokf<

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  Efboœfm %gjtķm #ovroborf

.5.5. 'ķmgrķ)ķ %ovroborf /AOetrg)t!r Lfr)Oft,

c*fm novroborno ygpķbgj fmfjhf tokob fœbok éķmgrkgnķr< "mf eftfj éķmgrkgsķjķ ygpgj novroyo9(grķk éķmgrķ)ķ‖, +é eftfj éķmgrkgsķjķ ygpgj novroyo fso 9tgk éķmgrķ)ķ‖ novrosf nojfr<

 

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Śomfb 1.47. ?grķk éķmgrķhķ sokecb+ vo nc.rubum tgebcsu<

  f 9grķk 'ķmgrķ)ķ %ovro,f /XgbN AOetrg)t!r

"mf eftfj éķmgrkgsķ fœbokfjf ygpgj éķmgrķhķ novrosfjno, fmf ifrfœ vo fmf éķmķœ eubujur (5omfb8<J><g)< Éķmķœbgrngj efrfsf sgyķjķj 4grmķjķ (nf44orojho$#), nf.orf ecré eftfjf (ecrrcC$E)i&storfr< "mf eftfj éķmgrķbkgsķ fœbokfjno n&rt 4grmbķ nuruk cbuœur=

N N D N> N D >> > D NN > D > ( Ecré >)

$E fœbokfjno ZE cbnu.uju !gkgj 9N>1 fœbokf cbuœur vo eu nurukng efr y+msom no.orbf egsgkgmtgj 9>1 ecré gbķjķr< Ecré éķmķœķ, nc.rubum tgebcsujng gyrķ efr sut+j cbgrgm i&storfbfr<

?grķk tcpbgyķhķ novrosfjno cbuœgj fœbokborfj nc.rubum tgebcsu vo nc.rubum tgebcsujg i&rocbuœgj 4cjmsfycjbgr 5omfb K<J>1no i&storfbkomtonfr< 

/g /e

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Efboœfm %gjtķm #ovroborf

#c.rubum tgebcsujngj obno onfboj 4cjmsfycjbgrķ ioréomboœtfrohom novrojfj éf!fbkosf fbo, 5omfb8<J6<g1ngmf novro obno onfbfr< #ovronoj obno onfboj 9:grm1 éķmķœķjngmf oœftbf.f 9F!ob$?1mgpķsķ fbo ioréomboœtfrorom novro éf!fbfrso, 5omfb 8<J6<e1nomf bc*fm novro cbuœur<

Ðrjom 2 &?grķk éķmgrķhķ novroborf fbo N$> fœbokfjf ygpgbķk<

?grķk tcpbgyķhķ novro ifrfœborfjo DN vo ED> no.orborf uyiubgjķrsg7 5omfb K<J@1nomf éķmķœno.orborf obno onfbfr<

Śomfb 1.4?. ?grķk éķmgrķhķ novroborf fbo &rjom éķmgrkg fœbokf<

ff gk 'ķmgrķ)ķ %ovro,f /Obb AOetrg)t!r

#gag n+œ+m no.orbf egsgkgm tgrg4ķjngj 9>1 ecré gbķjkķœ cbgefboho.fjf nfmmgto gbgrgm fmf eftf efrefrfjnoj éķmgrgj efboœfm novro, 9tgk éķmgrķ)ķ1 cbgrgm fsfkbojnfrfbfr< ^é ifrfœ vo fmf éķmķœgsgafp tgk éķmgrķhķ novrosfjno ifrfœbor7 éķmgrķbgj, éķmgj vo ecrhu i&storfrmoj, éķmķœbgrngj efrf4grmķ nf.orf ecrhu i&storfr (5omfb 8<JI<g)<

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Efboœfm %gjtķm #ovroborf

0frfœfj +é gnot cbkgsķ jonojfybo, nc.rubum tgebcsujng 8 4grmbķ nuruk eubujur (5omfb 8<JI<e)#c.rubum tgebcsujngmf DEDN, ;D> nuruku, ; eftfjfj ngag &jho n+œ+m egsgkgm no.orbfmgnokonoj 9>1 ecré gbķjnķ.ķjķ i&storfr< #c.rubum tgebcsu éķmķœ s+tujbgrķjngmf no.orborfjMgrjguia agrftgsķjg tgœķjkgsķ fbo 5omfb 8<JI<h1nomf oœftbfmbor obno onfbfr< bno onfbojoœftbfmbornoj, 9:grm1 sgnoboœtfrfbokoso no, 9Ecré1 f4gnosf sgnoboœtfrfboefbfr<

Śomfb 1.4. 'gk éķmgrķhķ novrosfjno 9:grm1 vo1Ecré1 éķmķœbgrķ<

Mgrjguia agrftgbgrķjngj yg!ķbgj oœftbfmborfj bc*fm œokgbgrķjķj éf!fbkosf fbo, 5omfb 8<JA1noi&r+boj tgk éķmgrķhķ novrosf obno onfbfr< Eu novrono 94grm1 vo 9ecré1 f4gnoborfjf toksfb onojnovrobor gyrķ gyrķ éf!fbkfœ vo no.fœmojborfj aok mojnfborfjfj aok no t+kboyojborfjfjifrfœboro uyiubgjnķ.ķ mgeub onfbkfœtfr< "mf f4gnojfj eorgeor éf!fbkosf vo no.fœmojborfjygjbķ!hg mojnfborfjfj ifrfœboro uyiubgjkgsķ nurukujng, 5omfb 8<JJ1ngmf bc*fm novroborcbuœur<

Śomfb 1.44.  'gk éķmgrķhķ novrosf bc*fm œokgsķ<

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Efboœfm %gjtķm #ovroborf

fff "mf 9grķk 'ķmgrķ)ķ Obbgjķbgrgm gk 'ķmgrķ)ķ bno nfbko,f &

"mf ygrķk tcpbgyķhķ mubbgjķbgrgm tgk tcpbgyķhķ ygpķbnķ.ķ ifef, fmf ygrķk éķmgrķhķ (L<-<)mubbgjķbgrgm tgk éķmgrķhķ cbuœturubgefbfr (5omfb 8<JB)< "mf ygrķk éķmgrķhķ fbo cbuœturubgj tgkéķmgrķhķ novrosfjno, G< ?grķk éķmgrķhķjķj 9:grm1 éķmķœķ GG< ygrķk éķmgrķhķjķj ifrfœborfjnoj efrfsfcbgrgm uy.ubgjķrmoj, ; ifrfœf fmfjhf ygrķk éķmgrķhķjķj nf.or ifrfœfjo uyiubgjķr< "mf ygrķkéķmgrķhķjķj 9Ecré1 éķmķœbgrķ efr 9?1 mgpķsķ fbo efrboœtfrfborom, tgk éķmgrķhķ novrosf 9Ecré1éķmķœķ obno onfbfr<

5omfb 8<JB1no ebcm œokgsķ i&r+boj tgk éķmgrķhķ novrosfjno ebcm cbgrgm i&storfboj ygrķkéķmgrķhķbgrķj yorfjo géķm novroborfjfj yorboœtfrfbkosf fbo tgk tcpbgyķhķ bc*fm novrosf obno onfbfr(5omfb 8<J8)< Eu novrojfj éķmķœķjķj tgsgrķk ycbuybg obno onfboj vo 5omfb 8<JJ1ng œokgsķvorfboj novro fbo gyjķ fœbovf ygptķ.ķjķj mcjtrcb+j+ ygpgbķk=

Śomfb 1.46. "mf ygrķk éķmgrķhķ fbo tgk tcpbgyķhķ cbuœturubkgsķ ebcm œokgsķ<

Śomfb 1.41. "mf ygrķk éķmgrķhķ fbo tgk éķmgrķhķ novro cbuœturubkgsķ bc*fm œokgsķ<

Mcjtrcb féfj, éf!fboj bc*fm novrojfj 9Ecré1 vo 9:grm1 éķmķœbgrķjķ eubup, eubujgj no.orbor fbotgsgrķkng eubujgj oœftbfmborf mgrœķbgœtķrgbķk<

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Efboœfm %gjtķm #ovroborf

Éf!fboj novrono éķmķœbgr7

:grm D ; ⊟ ( ⊟E ) vo Ecré D ķE \ ( ⊟ E ) < ;

œombfjno cbuœur< buœgj oœftbfmbor géķbķrsg7

:grm D ; ⊟ ( ⊟ E ) Ecré D ķE \ ( ⊟ E ) <;

⊟ E D D ķE \ ( ķEķ \ E ) <;

mgeub onorsom7 D ķE \ ķEķ; \ E;

  :grm D ; ⊟ 

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D ķE;ķ \ Eķ ;H \ ķE; \ EH;

œombfjnomf iojfœbotfbkfœ f4gnobor eubujur< Eubujgj 9:grm1 vo 9Ecré1 f4gnoborf, tgsgrķk ycbufbo eubujgj éķmķœ f4gnoborf fbo gyjķnķr< Eu f4gnoborfj gyjķ cbkgsķ, éf!fboj tgk éķmgrķhķnovrosfjfj nc.ru cbnu.u scjuhuju vorfr< #ovrojfj nc.ru cbnu.uju eubnu.uku!g i&ro, eunovro fbo éķmgrkg &rjomborf ygpgbķk<

Ðrjom 7< & 5omfb 8<JK1ngmf tgk éķmgrķhķ novrosf fbo, D> vo ED;DN cbnu.u nurukng cbuœgjéķmķœbgrķ eubgbķk<

'gk éķmgrķhķyg D> vo ED;DN ifrfœborf uyiubgkgsķ fbo, :grmD> vo EcréDN éķmķœbgrķ cbuœur<

Śomfb 1.42. D> vo ED;DN ifrfœborfjno tgk éķmgrķhķng cbuœgj éķmķœbgr<

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Efboœfm %gjtķm #ovroborf

Ðrjom 77 &  'gk éķmgrķhķ novrono, DED;D> nurukujng 9:grm1 vo 9Ecré1 éķmķœbgrķjngcbuœgj no.orborf i&storobfk<

Śomfb 1.6<. DED;D> ifrfœborfjno, tgk éķmgrķhķ novrosfjno cbuœgj éķmķœ no.orborf<

fv ^ grgbob 'ķmgrķ)ķ novro,f&

9j1 eftbfm fmf gnot fmfbf sgyķyķ éķmgrgj pgrgbob éķmgrķhķ novrosfjno, pgrgbob tcpbgyķhķbgrng cbnu.uifef 9j1 sgyķng tgk éķmgrķhķ (:<-<) novrosf mubbgjķbķr (5omfb 8<B>)< Ebcm œokg cbgrgmi&storfboj pgrgbob éķmgrķhķbgrng oj scjngmf ecré éķmķœķ 9>1 fso7 éķmgrkgjķj sujuhujuj pc!ftf4,9N1 fso scjuhuj joigtf4 cbnu.uju i&storfr<

Śomfb 1.67. 3grgbob éķmgrķhķ novrosf ebcm œokgsķ<

#&rt eftbfm tcpbgkg fœbokf ygpgefboj BI8@ ojtoirosf fbo n&rt eftbfm éķmgrkg fœbokfioréomboœtfrfboefbfr< Eu ojtoiro, ;NDN cbnu.u !gkgj tcpbgkg, ;ND> nurukujng fso éķmgrkgfœbokf ygpgr< Éķmgrkg fœbokf ygpķbķrmoj, éķmgrķbgj sgyķyķ toksfb onoj 91 eftborf ojtoiroyogyjoj uyiubgjķrmoj, éķmgj sgyķyķ toksfb onoj 9E1 eftborfjfj t+kboyojborf gbķjgrgm ojtoiroyo

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Efboœfm %gjtķm #ovroborf

v "mf t>kbo(ojf fbo t!Fbgkg vo éķmgrkg fœbokf&

Efrécm efbifsgygr sfstokf, joigtf4 sgyķbgrķ f4gno otkom voyg éķmgrkg fœbokfjf ioréomboœtfrkomféfj 96 t+kboyojf1 grftkotf.fjf mubbgjķr< Woigtf4 sgyķbgrķ f4gno otkom féfj 6 t+kboyojfgrftkotf.f mubbgjķbķycrsg, fœgrotbf ($voyg \) sgyķbgrķj tcpbgjkgsķ vo éķmgrkgsķ fœbokborfygbjķ!hg tcpbgkg ycbu fbo ioréomboœtfrfbfr<

!Fbgkg "œbokf &

 Woigtf4 sgyķbgrķj 6 t+kboyojf 4crkujng f4gno onfbkosf nurukujng pc!ftf4 vo joigtf4 sgyķbgrķjtcpbgjkgsķ tokob pgrgbob tcpbgkg novrosf fbo ioréomboœtfrfboefbfr< 5omfb 8<B61no ($@) vo (\J)sgyķbgrķjķj pgrgbob tcpbgyķhķ fbo tcpbgjkgsķ fœbokf i&r+bkomtonfr<

?gpķbgj fœbok 9'cpbgkg1 cbkgsķjg rg.koj, sgyķbgrķj fœgrotborf 4grmbķ cbnu.ujngj tcpbgjgjsgyķbgrķj 4grmķ gbķjķr< :grm gbkg fœbokfjno7

9\1 fœgrotbf sgyķyg, 9$1 fœgrotbf sgyķjķj fmf t+kboyojf ombojfr<

Eubujgj scjuétg obno cbup cbkgnķ.ķjg egmķbķr=

$ bno vgrsg gtķbķr vo eubujgj scjué pc!ftf4tfr<$ bno ycmsg, obno onfboj sgyķjķj 96 t+kboyojf1 gbķjķr vo sgyķjķj &j+jo 9$1 fœgrotf

mcjur<

Ðrjom 75& ($@) vo (\J) sgyķbgrķjķ, fmfbf pgrgbob tcpbgyķhķ fbo tcpbgygbķk=

($@) sgyķsķjķj t+kboyojf ifrfœborfjo, pc!ftf4 (\J) sgyķsķ fso E ifrfœborfjo uyiubgjķrsg, 4grméķmķœbgrķjngj scjué obno onfbfr< Ecré éķmķœķjķ toksfb onoj ;I éķmķœķ 9>1 cbnu.ujngj, scjué

 pc!ftf4tfr<

Śomfb 1.65.  Woigtf4 vo pc!ftf4 sgyķbgrķj pgrgbob tcpbgyķhķ fbo tcpbgjkgsķ<

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Efboœfm %gjtķm #ovroborf

'ķmgrkg "œbokf & 

Éķmgrkg fœbokf féfj 6 t+kboyoj grftkotf.f y&jtokf mubbgjķbkgsķ nurukbgrķjng, éķmgj sgyķjķj6 t+kboyojf gbķjgrgm tcpbgkg fœbokf ygpķbķr< Frjo.fj, $E fœbokf ygpķbķycrsg, sgyķsķ

cbnu.u ifef eķrgmķbķp, E sgyķsķjķj 6 t+kboyojf gbķjķr< #gag scjrg, sgyķsķ fbo t+kboyojfgbķjgj E sgyķsķ tcpbgjķr vo fmf sgyķ grgsķjngmf 4grm tcpbgyķhķ éķmķœķjngj cmujur<

#&rt eftbfm pgrgbob tcpbgyķhķ novrosf, yumgrķng géķmbgjgj y&jtok fbo éķmgrkg fœbokf ygpghgmœomfbno n+!ojbojoefbfr< #gag &jhomf e&b+kbornoj agtķrbgjghg.ķ +!oro, fmfbf sgyķjķj 6t+kboyojf, aor efr eftfj torsf yg!ķbgrgm vo oj n+œ+m no.orbfmbf efto 9>1 omboyorom obno onfbfr<Eu fœbok, E sgyķsķjķj torsbojkfœ eftborfjfj E@, E6, E> vo EN ifrfœborfjo, ombojoj 9>1 sgyķsķjķjfso ;N ifrfœfjo uyiubgjkgsķ fbo ioréomboœtfrfbfr< E&yboho, E sgyķsķjngmf rgmgkbgrķj torsf gbķjķp,oj n+œ+m no.orbfmbf egsgkg.g 1>1 ombojkfœ cbur< sgyķsķjķj nc.rungj @, 6, >  vo N

ifrfœborfjo uyiubgjkgsķ fbo iorombf efbifbor pgrgbob tcpbgyķhķ ifrfœborfjo uyiubgjķr (5omfb 8<B@)<

#&rt eftbfm pgrgbob tcpbgyķhķng -N $ -@  éķmķœbgrķ éķmgrkg fœbokfjfj scjuhuju i&storfrmoj, ;I

éķmķœķ scjuhuj 9$1 voyg 9\1 cbnu.uju eobfrtfr< ;I  D> fso scjué pc!ftf4, ;IDN fso scjué

joigtf4tfr<

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Efboœfm %gjtķm #ovroborf

Ðrjom 7? & Éķmgrkg fœbokfjfj jgsķb ygpķbnķ.ķjķ géķmbgkgm féfj7 (\I) $ (\J) fœbokfjf ygpgbķk<

 f$ (\IDN>NN) vo E (\JDN>>N) sgyķbgrķ tcpbgyķhķ ifrfœborfjo uyiubgjķr< jhgm, Esgyķsķjķj 6 t+kboyojf gbķjkgsķ ioromtf.fjnoj, E sgyķjķj 6 t+kboyojf gbķjgrgm 9>N>N1 œombfjnoE ifrfœfjo uyiubgjkgbķnķr<

ff$ Eu nurukng, N>NN sgyķsķ fbo >NN> sgyķsķ, ;ND> ombojorom tcpbgkg fœbokfjo tgeftutubur<

fff$ -cjué cbgrgm >>>N sgyķsķ obno onfbfr< Eu sgyķjķj fœgrot eftf cbgrgm 9N1 no.orfjosgafp cbkgsķ, scjuhuj joigtf4 vo 6 t+kboyojf 4crkujng cbnu.uju i&storfr<

  fv$ Eubujgj sgyķjķj 6 t+kboyojf gbķjgrgm &j+jo 9$1 fœgrotf mcjubkgsķybg, nc.ruscjué ($NN>N) eubujur<

yjķ ojtoiroyf tcpbgkg vo éķmgrkg novrosf cbgrgm mubbgjkgm k+km+jn+r< Euœomfbno tgsgrbgjgj novrobor :bfp$:bcp vo mgynonfhf féornf.fjnoj ngag scjrgmf mcjubgrngfjhobojohomtfr<

EL% !Fbg(ķ)ķ &Éc.u efbifsgygrbgr vo aosgp kgmfjoborf, cjbu sgyķbgrbg fœbok ygpgrmoj E;# mcnuju mubbgjķr<Eu mcnbgkg sfstokfjno aor efr cjbu sgyķ, NNNN fbo >NN> grgsķjngmf n&rt eftbfm sgyķ fbo f4gnoonfbfr< E;# mcnbu sgyķbgrbg ygpķbgj tcpbgkg fœbokfjno cbuœgj cbgybgrķ fjhobonfmtoj scjrg,E;# tcpbgyķhķ bc*fm novrosfjf éf!obfk<

f jbu sgyķbgrķj tcpbgjkgsķjng tcpbgkg scjuhujng obno onfboj sgyķbgr K voyg K1ngjm+é+m fso, scjué tcpbgjgj sgyķbgrķj tcpbgkķjg oœfttfr vo aoragjif efr fœboko iorom ycmtur<

Ðrjom 70 &  (IA)>N vo (@@)>N sgyķbgrķjķ tcpbgygbķk<

'cpbgjgj sgyķbgrng eubujgj aorefr egsgkgmtgmf sgyķ E;# mcnbu sgyķ cbgrgm yg!ķbnķmtgjscjrg, gyjķ egsgkgm no.orfjo sgafp sgyķbgr tcpbgjķr<

  IA N>NN N>N>  \ @@ \ NN>> NN>>

  B8 N>>> >NNN

-cjué cbgrgm eubujgj (B8)>N sgyķsķjng, aor fmf egsgkgmtg eubujgj sgyķbgr K1u ioékonf.f féfjobno ycmtur< Eu nurukng E;# tcpbgkg fœbokfjno eubujgj sgyķ nc.rungj scjuhu i&storfr<

ff "mf sgyķjķj tcpbgkķ scjuhujng obno onfboj E;# mcnbu sgyķ K1ngj (>NN>) e+y+m fso,obno onfboj scjuhuj n+!obtko fœbokfjo tgef tutubkgsķ ioromfr< #+!obtko fœbokf, tcpbgkgscjuhujg (J)>N D (N>>N)6 sgyķsķjķj ombojkosfnfr<

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Efboœfm %gjtķm #ovroborf

Ðrjom 7 &  (J)>N vo (B)>N sgyķbgrķjķ tcpbgygbķk<

Lor fmf sgyķ E;# mcnbu cbgrgm yg!ķbnķmtgj scjrg tcpbgkg fœbokf ygpķbķrsg7

  J N>>N  \ B \ N>>>  >@ >>N> scjuhu eubujur<

-cjué (>>N>)6 cbnu.ujngj vo E;# 4crkuybg K1g mgngr cbgj sgyķbgr f4gno onfboefbnf.fjnoj,scjuhg (N>>N)6 sgyķsķjķj ombojkosf ioromfr< -cjuhg eu sgyķjķj ombojkosf fbo7

  >>N>  \ N>>N  NNN> NN>> E;# mcnbu (>@)>N sgyķsķ eubujur<  > @

Ðrjom 74 &  (IB)>N vo (@A)>N sgyķbgrķjķ E;# 4crkujng tcpbgygbķk<

orfboj sgyķbgr egsgkgm eg!ķjng E;# mcnbu sgyķ cbgrgm f4gno onfbnfmtoj scjrg, aorefr egsgkgmtgmf sgyķbgr tcpbgjķr<

IB N>NN N>>>\ @A \ NN>> N>N>

  86 N>>> >>NN K1ngj e+y+m cbnu.ujngj7  \ > N>>N J sgyķsķ ombojkobfnfr< Eu sgyķjķj ombojkosf fbo

  >NNN NN>N E;# mcnbu sgyķbgrķj tcpbgkķjķj nc.ru scjuhu eubujur<8 6

Ðrjom 76 & (6BA\JI>)>N  fœbokfjf E;# mcnbu sgyķbgrķj tcpbgjkgsķ 4crkujng ygpgbķk<

'cpbgjghgm sgyķbgr E;# 4crkujg n&j+œt+r+b+r vo sgyķbgr tcpbgjķrsg7

  6BA NN>N N>>> N>N>\ JI> N>>N N>NN NNN>

K>J >NNN >N>> N>>N scjuhu  eubujur< >NN>1noj e+y+m cbgjbgrg 9N>>N1  \ > N>>N sgyķsķjķj ombojkosfybo

  >NN> NNN> N>>N E;# mcnbu (K>J)>N sgyķsķ eubujur< 

"mf sgyķjķj E;# tcpbgyķhķ 4crkujng tcpbgjkgsķ fbo fbifbf cbgrgm ygpķbgj géķmbgkgbgr vo&rjombor ķœķ.ķ gbtķjng, fmf E;# sgyķyķ tcpbgygj I eftbfm pgrgbob tcpbgyķhķ (BI-8@ ojtoirosf)novrosfjf fjhoboyobfk< .or fmf E;# sgyķ @,6,>,N vo E@,E6,E>,EN sokecbborfybo i&storfbfrvo tcpbgkg fœbokfjo tgef tutuburbgrsg7

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  Efboœfm %gjtķm #ovroborf

  @6>N

  \ E@E6E>EN

  -I-@-6->-N

fmfbf sgyķsķ obno onfbfr< -I egsgkg.ķ ;I éķmķœķjng eubujgj no.orf f4gno onor<

c*fm E;# tcpbgyķhķ, yumgrķngmf tcpbgkg fœbokfjf ioréomboœtfrkosfjfj ygjķjng tcpbgkgfœbokfjf scjuhujuj N>NN>1noj e+y+m cbnu.u nuruku tospft onoj bc*fm novroyo sgafpcbkgbķnķr< #c.rubtkg fœbokfjfj iorombf cbnu.u nurukbgr, 5omfb 8<BI1nomf tgebcng bfstobojojmckefjgsycjbgrnķr<

fstobojoj mckefjgsycjbgrķ fjhoborsom gœg.ķngmf iojobbokoborf ygpgefbfrf!<

f$ -ID> cbnu.u e+t+j nurukbgr,

ff$ -@D> fmoj -> voyg -61jfj > cbnu.u nurukbgr, nc.rubtkg fœbokfjfj iorombf cbnu.unurukbgrnķr<

Eu nurukbgr 4D-I\-@ (-6\->) 4cjmsfycju fbo f4gno onfboefbfr< 4D> cbnu.u nurukbgrng, scjuhg

(N>>N)6  ombojorom n+!obtko fœbokfjfj ygpķbkgsķ vo obno eftf +rotfbkosf iorombfnfr< 5omfb8<BA1to n+!obtko novrosfjf féoroj E;# tcpbgyķhķ novrojfj œokgsķ i&r+bkomtonfr<

A0 A? A5 A7 A<

N > N > N (>N)N > N > > (>>)N > > N N (>6)N > > N > (>@N > > > N (>I)N > > > > (>A)> N N N N (>J)> N N N > (>B)

> N N > N (>8)

Śomfb 1.60. E;# tcpbgkg fœbokfjno n+!obtko fœbokf ioromtfroj mckefjgsycjbgr<

'cpbgyķhķ novrosfjno, E;# mcnbu 9@6>N1 vo 9E@E6E>EN1 sgyķbgrķ, 9-@-6->-N1 tcpbgkgscjuhuju obno otkom féfj I eftbfm '> tcpbgyķhķsķjng tcpbgjķr< '6 E;# tcpbgyķhķ ygbjķ!hg 4D>cbnu.u nurukbgrng scjuhg (N>>N)6 sgyķsķjķ ombokom vo 9Q@  Q6  Q>  QN1  fbo sokecbf!o onfbojnc.ru scjuhu eubkgm féfj mubbgjķbķr<

4DN cbnu.u vo n+!obtkojfj ioromkonf.f nurukbgrng,

  Q@ Q6 Q> QN D -@-6->-N 

cbur< Efrnoj écm egsgkgmbķ cjbu sgyķbgrķj tcpbgjkgsķ nurukujng, aor efr egsgkg.ķ tcpbgygj

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Efboœfm %gjtķm #ovroborf

gyrķ efr E;# tcpbgyķhķyg fatfygé vgrnķr< Eu nurukngmf cjbu sgyķbgrķ tcpbgkg fœbokf, aor efr egsgkgm féfj efr tcpbgyķhķ mubbgjkgm vo tcpbgyķhķbgrķ efrefrborfybo fbfœmfbojnfrkom surotfyboioréomboœtfrfbfr<

EL% !Fbgkķ

0Eft Fgrgbob t!Fbg(ķ)ķ/60BA1?

7

0Eft Fgrgbob t!Fbg(ķ)ķ

/60BA1?

5

< 7 7 <

E@ E6 E> ENE;# Mcnbu sgyķ

@ 6 > N

E;# Mcnbu sgyķ

-@ -6 -> -N

L< n+œ+m no.orbfmbf egsgkgmtgjioboj obno ifrfœf

;NDN

#+!obtko'cpbgkgsķΨ @ Ψ 6 Ψ > Ψ N

;I

;I

-I

BI-@6

BI-@6BI-N8

Mubbgjķbkgnķ

#+!obtko novrosf

M

Efr scjrgmf E;#

tcpbgyķhķ obno éķmķœķ

Śomfb 1.6. #&rt eftbfm E;# tcpbgyķhķ vo n+!obtko novrosf<

vf 'grFkg %ovro,f

"mfbf sgyķbgrng égrpkg fœbokf, cjbu sgyķbgrngmf égrpkg fœbokf ifef ygpķbķr< Eujuj ygjķjng,égrpkg fœbokfjfj tomrgrbgjgj tcpbgkg fœbokborf fbo ygpķbkgsķ k+km+jn+r< Égrpkg fœbokfjfjtomrgrbgjgj tcpbgkg fœbokborf y&jtokf fbo ygpķbkgsķ BI8A vo eoj!orf ojtoiroborboioréomboœtfrfboefbfr<

Ðrjom 71 & Égrpkg fœbokf ygpgj bc*fm novro tgsgrķkķjg &rjom cbkgsķ gkghķybg fmfbf efrsgyķyķ mojnfsf fbo égrpgj ygjf mgrosfjf gbgj novroyf tgsgrbgygbķk<

'gsgrbgjghgm novro, fmf eftbfm sgyķbgrķj égrpķkķjķ ygpghg.ķjngj fmf ifrfœo sgafp cbur<Éķmķœķjng fso 66  D I no.fœfm nuruk eubujur< Éķmķœ eft sgyķsķjķ eubkgjķj oj mcbgy ycbu,ifrfœ no.fœmojborfjnoj oj e+y+m no.orbf cbgjķjķ gbķp, eu sgyķjķj mgrosfjf eubkgmtķr<Eubujgj sgyķjķj oj g! mgé eft fbo toksfb onfboefboho.f tospft onfbfr< E&yboho éķmķœ eft sgyķsķ

 eubujur<

?gpķbgj &rjomto oj e+y+m sgyķ, (>>)6 fmfbf sgyķsķ fbo toksfb onfboj (@)>N sgyķsķnķr< Eu sgyķjķjmgrosf cbgj (K)>N sgyķsķ oj g! n&rt eft fbo yg!ķbghg.ķjngj, novrojfj éķmķœķ I gnot cbgrgm eubujur<Lor efr éķmķœ, fmfbf cbgrgm 4grmbķ egsgkgm no.orfjf toksfb onor< 0frfœboro eg.ķkbķ cbgrgm 9>1no.orfjf gbghgm éķmķœbgrg 9>1 yg!ķbķrsg, 5omfb 8<BJ1ngmf nc.rubum tgebcsu vo éķmķœ f4gnoborf

cbuœur<

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  Efboœfm %gjtķm #ovroborf

:N D ķE \E D E ( ķ \ )

  :> D N

  :6 D Eķ

  :@ D E

Śomfb 1.64. "mf eftbfm sgyķjķj mgrosfjf gbgj bc*fm novrojfj nc.rubum tgebcsu vo éķmķœ oœftbfmborf<

#c.rubum tgebcsujngj obno onfboj 4cjmsfycjbgr sgnoboœtfrfborom, 5omfb 8<BB1nomf bc*fm novroobno onfbfr<

Śomfb 1.66. "mf eftbfm fmfbf sgyķjķj mgrosfjf gbgj bc*fm novro œokgsķ<

Ðrjom 72& "mf eftbfm fmfbf sgyķjķj mgrosfjf gbgj novrono (>N)6 sgyķsķjķj mgrosfjf gbgbķk<

0frfœ sgyķsķ vo E ifrfœborfjo uyiubgjķrsg, ifrfœboro i&ro cbuœghgm éķmķœbgrngmf no.orbor, ifrfœ

sgyķsķjķj mgrosfnfr<

Śomfb 1.61.  (>N)6 sgyķsķjķj mgrosf cbgj (N>NNN)6 sgyķsķjķj obno onfbkosf< 

540

 

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.8  .5  .7  .< 

frfb#r  

N NN >

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N > N N> N N >

IļUļŚBOU !FMFŚBGU

G   E   @8 @5 @7 @<

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7

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Efboœfm %gjtķm #ovroborf

Ðrjom 5< & ^é eftbfm fmfbf sgyķjķj mgrosfjf gbgj novroyf tgsgrbgygbķk<

^é eftbfm fmfbf sgyķ fbo toksfb onfboj oj e+y+m cjbu sgyķ (B) >N cbnu.ujngj scjué cbgrgm ojy+msom (IK)>N sgyķsķ eubujur< Eu sgyķ fmfbf sfstokno gbtķ egsgkgm fbo toksfb onfboefbfr<

Śomfb 1.62. ^é eftbfm sgyķjķj mgrosfjf gbgj novrojfj nc.rubum tgebcsu vo Mgrjguia agrftgbgrķ<

Śomfb 1.1<< ^é eftbfm fmfbf sgyķjķj mgrosfjf gbgj novrojfj bc*fm œokgsķ<

Ifrfœbor 'ķmķœbgrG E L 0 ? 5 7 <

N N N N N N N N NN N > N N N N N >N > N N N N > N NN > > N N > N N >> N N N > N N N N> N > N > > N N >> > N > N N > N N> > > > > N N N >

54

E ;

:ND;

:6DE;ķ

:@D;( \ E)

:ID(Eķ\;)

:ADE

:>DN

NN N> >> >N NN N> >> >N NN N> >> >N

N N N N N N N > > N N N N N N> > > > > > N N N N > N > N >

  :ND; , :>DN :6DE;ķ

  :@Dķ

E;\Eķ

;

  D;( \ E)

NN N> >> >N NN N> >> >N

N N N N > N N N > N

> N N > > > N N > N

  :IDEķ

\; :ADE

  D(Eķ

\;)

B<  E  ;

B5  E  ;

B?  E  ;

B0  E  ;

B  E  ;

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  Efboœfm %gjtķm #ovroborf

Eu nurukujng, tgsgrķkng cbuœturubghgm novrojfj J éķmķœķ eubujkgbķnķr< 0frfœ no.orborfjoi&ro cbuœghgm sgyķbgrķj nc.rubum tgebcsujng i&storfbkosf fbo, 5omfb 8<BK1ngmf tgebc cbuœur<#c.rubum tgebcsu éķmķœ s+tujbgrķjngmf no.orbor Mgrjguia agrftgbgrķ mubbgjķbgrgm sgnoboœtfrfbfr

vo obno onfboj 4cjmsfycjbgrķ toksfb onoj bc*fm novrobor éf!fbfrso, 5omfb 8<8N1nomf bc*fm novroobno onfbfr<

Ðrjom 57 & ^é   eftbfm fmfbf sgyķjķj mgrosfjf gbgj novroyo (>>N)6  sgyķsķ uyiubgjkgsķnurukujng cbuœghgm éķmķœ no.orborfjf eubgbķk<

^é eftbfm sgyķjķj mgrosfjf gbgj 5omfb 8<8>1nomf novroyo ifrfœ sgyķsķ uyiubgjkgsķ nurukujng,éķmķœbgrng cbuœghgm no.orbor ifrfœtomf sgyķjķj mgrosfnfr<

Śomfb 1.17.  (>>N)6 sgyķsķjķj mgrosfjfj gbķjkgsķ<

Égrpkg fœbokf, fœbokfj aķ!bķ cbgrgm ygpķbkgsķ gkghķybg pgrgbob fmfbf égrpkg novroborf fboioréomboœtfrfbfr< BI68I jtoirosf, pgrgbob fmfbf égrpkg fœbokf féfj mubbgjķbgj ojtoiroboro &rjomcbgrgm vorfboefbfr<

'okob grftkotfm fœbokborfj (tcpbgkg, éķmgrkg, égrpkg) vo bc*fm fœbokborfj (, ?,#_", v<e) ygpķbkgsķjng mubbgjķbgj écm 4cjmsfycjbu rftkotfm %gjtķm #ovrosfojtoiroborf eubujkgmtgnķr< Eu ojtoiroboro &rjom cbgrgm BI>8> jtoirosf vorfboefbfr (5omfb8<86)< BI>8> ojtoirosf, grftkotfm voyg kgjtķm fœbokborfjnoj efrfsfjf ygpghgm œomfbno

 prcirgkbgjgefbfr< Eu fœbok ojtoirojfj 8 jcbu % ifrfœ uhu fbo ygpķbķr< jtoiro, %DN fmojgrftkotfm fœbokborf, %D> fmoj fso bc*fm fœbokborf ygpkgm +!oro prcirgkbgjķr<

544

9>1 9>1 9N1

:NDN

:6D>

:@DN

:IDN

:AD>

:>DN

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Efboœfm %gjtķm #ovroborf

BI>8> ojtoirosfjnomf uébgrngj I tgjosf sgyķsķ ifrfœf (@, 6, >, N), I tgjosf E sgyķsķ ifrfœf(E@, E6, E>, EN), I tgjosf no vo E sgyķbgrķ grgsķjng ygpķbgj grftkotfm vo bc*fm fœbokborscjuhu crtgyg éķmgj no.orborfj (: fbo i&storfboj) éķmķœķ (-N, ->, -6, -@) féfj mubbgjķbķr< -N, ->,-6, -@ nf!fsf fbo ygpķbghgm fœbok (tcpbgkg, éķmgrkg, W#, X, v<e<) tgjķkbgjķr<

Frjo.fj7 %D> vo -@-6->-ND>>>N fso :D\E fœbokf ioréomboœtfrfbfr< #f.or efr no.fœbo, ifrfœborf fbo E ifrfœborf 9?1 fœbokfjo tgef tutubur<

Eu ifrfœborfj 4grmbķ mckefjgsycjg sgafp cbkgsķ fbo ygpķbgefbohom fœbokbor, 4cjmsfycj tgebcsucbgrgm ojtoiro vorf mgtgbcibgrķjng vorfbkomtonfr< BI>8> :cjmsfycj tgebcsujg i&ro, ojtoiroyf

 eoœ éoœft grftkotfm fœboko, >J tfp bc*fm fœboko vo 8 tfp aok bc*fm aok no grftkotfm fœboko prcirgkbgkgm k+km+jn+r< Eujbgrķj gjbgkķ7 BI>8> ojtoirosf fbo @6 éoœft fœbok ygpkgjķjk+km+j cbnu.unur<

 

6I 6@ 66 6> 6N >K >8 >B >J >A >I >@

> 6 @ I A J B 8 K >N >> >6

\A >  E>  6  E6  @  E@  0 ;W\I 3 DE :@ 

EN  N  -@ -6  ->  -N  ;W % :N  :>  :6 

0"X"5 PÉXG

0"X"5 PÉXG ÉGMG5 PÉXG

ÉGMG5 PÉXG

60717

Śomfb 1.15. BI>8> rftkotfm c*fm fœbok ojtoirosf gygm eg.bgjtķsķ<

.?. Grftkotfm "œbokbor fbo "b#fbf @(#Obgkgbgr

rftkotfm fœbokborf ioréomboœtfroj vo kfmrcfœbokhfborfj rftkotfm$%gjtķm Efrfkborfjf (P)cbuœturgj novrobor, 4grmbķ obokgjbgr mubbgjķbgrgm no.fœfm œomfbborno ioréomboœtfrfboefbfr<rftkotfm fœbokborf ioréomboœtfroj novroboro &rjom vororom, eujbgrķj égbķœkg projsfpborfjffjhoboyobfk< .?.7. grgbob !Fbg(ķ)ķ /1 eft %ovro,f

3grgbob tcpbgkg fœbokborfjno ygyiķj cbgrgm mubbgjķbgj obokgjbgrngj efrfsf, BI8@ ojtoirosfnfr<"mf gnot BI8@ ojtoirosf mubbgjķbgrgm 8 eftbfm pgrgbob tcpbgyķhķ ioréomboœtfrfboefbfr (5omfb 8<8@)<buœturubgj novrono, n+œ+m no.orbf eftborf tcpbgygj ojtoirojfj obno (;f) ifrfœf 9N1

ygpķbkgbķnķr< "mfjhf ojtoirojfj obno ifrfœf fso, n+œ+m no.orbf eftborf tcpbgygj ojtoirojfj obno

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Efboœfm %gjtķm #ovroborf

Śomfb 1.1.  IxI eftbfm égrpkg novrosf

.?.?. Grftkotfm Kgjtķm Efrfkf %ovroborf

rftkotfm %gjtķm Efrfkfjf cbuœturkgjķj oj egsft y&jtokborfjnoj efrfsf BI>8> ojtoirosf

mubbgjkgmtķr (5omfb 8<86)< BI>8> ojtoirosf, fmf gnot n&rt eftbfm ifrfœ +!orfjno >J grftkotfmfœbok voyg >J kgjtķm fœbokf ioréomboœtfrfboefbfr<

omrgrbgkg +o 'gbķœkg A!rObgrķ

>< Efboœfm novroyf tgjķkbgyķjķ!<

6< Efboœfm novrobor mgé irueg gyrķbķr

@< Efboœfm novro tgsgrķkķjng tgmfp onfbohom fœbok sķrgsķjķ sķrgbgyķjķ!<

I< Efboœfm efr novrojfk sgnoboœtfrfbkosfj scjrg tgœķkgsķ iorombf &!obbfmborf jobornfr

A< Efbifsgygrbgrng ygpķbgj mcnbgkg fbo fbifbf fœbokborf ebcm œokg cbgrgm i&storfjf!<

J< 9Mcnbgyķhķ novro1 jo nokomtfr

N

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6

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E>

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6 7< 77 756 7< 77 75

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 G 8 5 7 < 8 5 7 < E

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  Efboœfm %gjtķm #ovroborf

B< I ifrfœtoj 6 éķmķœg mcnbgyķhķ novrojfj géķm œokgsķjķ éf!orom, égbķœkgsķjķ géķmbgyķjķ!<

8< Mcnbgyķhķ novroborno éķmķœ sgyķjķj tospft onfbkosf fœbokfjf &!otboyfjf!<

K< ^é ifrfœbf efr mcnbgyķhķ novrosfjfj égbķœkgsķjķ bc*fm novro +!orfjno géķmbgyķjķ!<

>N< Fjhobfmbf mcnbgyķhķ novrojfj &!obbf.fjf &!otboyfjf!<

>>< BI>IB ojtoirosf mubbgjgrgm E;# mcnbgyķhķ tgsgrķkķjķ ygpķjķ!<

>6< jbu1ngj fmfbf1yo oj egsft mcnbgyķhķ novrosf jgsķb ioréomboœtfrfbfr<

>@< #fyct kgtrfs1bo ygpķbgj cjbu1ngj E;#1yo mcnbgyķhķ novrosfjfj œombfjf éf!orom,égbķœkgsķjķ géķmbgyķjķ!<

>I< Mcn é&!+h+ novroyf tgjķkbgyķjķ!

>A< 6 ifrfœbf mcn é&!+h+ novrojfj nc.rubum tgebcsuju vo bc*fm novrosfjf éf!fjf!<

>J< I ifrfœbf 2 >N éķmķœbķ mcn é&!+h+ novrojfj bc*fm novrosfjf éf!fjf!<

>B< Efbifsgygrbgrng mubbgjķbgj mcnbgyķhķ vo mcn é&!+h+ novroboro &rjombor vorfjf!<

>8< jtoiroborno eubujgj yotmfbojnfrko ifrfœfjfj fœbovfjf géķmbgyķjķ!<

>K< Mcn éovfrfhf novroyf tgjķkbgyķjķ!<

6N< A1to 6 mcnujngj, E;#1yo mcn éovfrfhf novrojfj nc.rubum tgebcsuju cbuœturuju!<

6>< E;#1noj B pgrégbķ i&storioyo mcn éovfrfhf novrojfj tgsgrķk gœgkgbgrķjķ &!otboyfjf!<

66< 9Écmbgyķhķ1 novroyf tgjķkbgyķjķ!<

6@< 9%ubtfpboxfji1 cbgyķjķ géķmbgyķjķ!<

6I< Ix> %P novrosf nc.rubum tgebcsuju cbuœturgrgm, bc*fm œokgsķjķ éf!fjf!<

6A< 8x> %P novrosf bc*fm œokgsķjķ éf!fjf!<

6J< %ubtfpboxor1borfj ifrfœ sgyķsķ jgsķb grttķrķbgefbfr

6B< "mf gnot Ix> %P mubbgjgrgm 8x> %P cbuœturuju!<

68< I not 6x> %P mubbgjgrgm 6 not Ix> %P tgsgrķkķ ygpķjķ!<

6K< %ubtfpboxor uyiubgkg gbgjbgrķjg &rjombor vorfjf!<

@N< :(,E,;)D Q (N,6,I,J) 4cjmsfycjujuj Ix> %P fbo ioréomboœtfrfjf!<

@>< :(,E,;)D Q (6,A,J,B) 4cjmsfycjujuj Ix> %P fbo ioréomboœtfrfjf!<

@6< :(,E,;)D Q (>,B,8,K,>@,>A) 4cjmsfycjujuj 8x> %P fbo ioréomboœtfrfjf!<

@@< %ubtfpboxor1fj vorf y&jbojnfrko gkghķybg mubbgjķkķjg &rjom vorfjf!<

@I< %ubtfpboxor1fj efboœfm novro tgsgrķkķjng mubbgjķkķjķ efr &rjombo géķmbgyķjķ!<

56<

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Efboœfm %gjtķm #ovroborf

@A< 9!bgyķhķ1 novrosfjf tgjķkbgyķjķ!<

@J< #okubtfpboxor1ķj ygptķ.ķ fœf, 4cjmsfycj œokgsķ ygrnķkķ fbo géķmbgyķjķ!<

@B< >x8 #okubtfpboxor1g gft nc.rubum tgebcsu cbuœturuju!<

@8< >x8 #okubtfpboxor bc*fm œokgsķjķ éf!fjf!<

@K< Efr ojtoirojfj aok mcn é&!+h+ aok no nokubtfpboxor cbgrgm mubbgjķbkgsķjķ &rjom fbogéķmbgyķjķ!<

IN< #okubtfpboxor uyiubgkg gbgjbgrķjg &rjombor vorfjf!<

I>< Mķygsbgkg novroborfjf tgjķkbgygrgm, irupbgjnķrķjķ!<

I6< E+y+mb+m mgrœķbgœtķrķhķyķ tgjķkbgyķjķ!

I@< 'om eftbfm fmf sgyķjķj oœftbfm nurukuju eobfrboyoj efboœfm novrojfj bc*fm œokgsķjķ vonc.rubum tgebcsuju éf!fjf!<

II< "mf eftf mgrœķbgœtķrgrgm7 DE>  [E vo ZE éķmķœbgrķjķ +rotoj efboœfm novroyftgsgrbgyķjķ!<

IA< #&rt eftbfm fmf sgyķjķj mgrœķbgœtķrķbkgsķjngj cbuœgj nc.rubum tgebcsuju cbuœturuju!<

IJ< Mgrœķbgœtķrķhķbgrķj mgsmgt eg.bgjtķsķjķ &rjombo géķmbgyķjķ!<

IB< rftkotfm fœbok novroborfjf tgjķkbgyķjķ!<

I8< ?grķk tcpbgyķhķ vo tgk tcpbgyķhķ novroborfjfj tgjķkbgyķjķ!<

IK< ?grķk tcpbgyķhķ nc.rubum tgebcsuju éf!orom, éķmķœ s+tujbgrķjngmf no.orboro i&ro tcpbgkgfœbokfjf ioréomboœtfrohom bc*fm novroyf éf!fjf!<

AN< 'gk tcpbgyķhķ novrosf nc.rubum tgebcsuju cbuœturgrgm, nc.rubum tgebcsujngmf éķmķœno.orborfjf sgnoboœtfrfp, tcpbgk vo obno oœftbfmborfjf yg!ķjķ!<

A>< 'gk tcpbgyķhķ novroyf, fmf gnot ygrķk tcpbgyķhķ mubbgjgrgm cbuœturkgyķ géķmbgyķjķ!<A6< 3grgbob tcpbgkg fœbokfjf I eftbfm fmf sgyķjķj tcpbgjkgsķ fœbokfjf mubbgjgrgm géķmbgyķjķ!<

A@< >N>>N\>>N>> fœbokfjf pgrgbob tcpbgyķhķ mubbgjgrgm ygpķjķ!<

AI< ?grķk éķmgrķhķ vo 'gk éķmgrķhķ torfkborfjf géķmbgyķjķ!<

AA< ?grķk éķmgrķhķ bc*fm novrosfjf tgsgrbgyķjķ!<

AJ< 'gsgrbgnķ.ķjķ! novroyo >$N uyiubgjkgsķ nurukujng cbuœghgm éķmķœ no.orborfjfi&storfjf!<

AB< 'gk éķmgrķhķ novrosf sokecb+ vo nc.rubum tgebcsuju éf!fjf!<

A8< 'gk éķmgrķhķ novrosf nc.rubum tgebcsujngmf no.orborf sgnoboœtfrorom sgnoboœtfrfbkfœ

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  Efboœfm %gjtķm #ovroborf

oœftbf.f bc*fm mgpķbgr fbo ioréomboœtfrfjf!<

AK< "mf ygrķk éķmgrķhķ mubbgjgrgm, tgk éķmgrķhķ novrosf cbuœturuju!<

JN< DED> vo ;DN ifrfœ no.orborfjo sgafp tgk tcpbgyķhķ novrojfj éķmķœ no.orborfjf, bc*fmœokg +!orfjno i&storfjf!<

J>< #&rt eftbfm fmf sgyķyķ pgrgbob cbgrgm tcpbgygygj novrojfj ebcm œokgsķjķ éf!fjf!<

J6< (>>NN>$>N>>N) fœbokfjf pgrgbob éķmgrķhķ fbo ygpgrgm, éķmķœ no.orborfjf bc*fm œokg +!orfjnoi&storfjf!<

J@< 9"mf t+kboyojf fbo éķmgrkg1 fœbokfjf &!otboyfjf!<

JI< ($A) vo (\K) sgyķbgrķjķ, fmf t+kboyojf y&jtokf mubbgjgrgm pgrgbob tcpbgyķhķ mubbgjgrgmygpķjķ!<

JA< (\8) (\A) fœbokfjf fmf t+kboyojf y&jtokf fbo pgrgbob tcpbgyķhķ fbo ygpķjķ!<

JJ< 9E;# tcpbgyķhķ1 jonfr

JB< (@>B\J6@) fœbokfjf E;# tcpbgyķhķ fbo ygpķjķ!<

J8< "mfbf sgyķbgrbg égrpkg fœbokfjf ioréomboœtfrkom féfj mubbgjķbgj y&jtokbor jobornfr

JK< "mf eftbfm fmfbf sgyķjķj mgrosfjf gbgj bc*fm novroyf tgsgrbgyķjķ!<

BN< BI>8> ojtoirosf &!obbfmborfjf &!otboyfjf!<

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Efboœfm %gjtķm #ovroborf 56?

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Kubtfvfergtðr vo

@bfp ‘ @bcpbgr(@bfp-@bcps)

EÐBÒK

6

Gkgébgr

 

Kubtfvfergtðr Novroborfjfj égbķœkg projsfpborfjfj géķmbgjkgsķ vo kubtfvfergtðr éoœftborfjfj

géķmbgjkgsķ

 

@bfp-@bcp‖bgrķj (@@) vo @@ éoœftborfjfj fjhobojkosf

 

@@‖bgrng totfmboko mgvrgkķjķj frnobojkosf

  @@‖bgrng sojmrcj vo gsojmrcj ifrfœborfj géķmbgjkgsķ

 

@bfp-@bcp pgrgkotroborfjfj ðērotfbkosf

 

@@‖bgrng nuruk ioéfœ tgebcbgrķjķj fjhobojkosf vo cbuœturkg œomfbborfjfj ðērotfbkosf

  @@ ifrfœ cjmsf!cjbgrķjķj géķmbgjkgsķ

Egœbķmbgr

• @bfp-@bcp‖bgr vo @bfp-@bcp "oœftborf

• #otfmboko $fj!gbf vo @@‖borno #otfmboko

• @@‖borno %sojmrcj &frfœbor 

• @bfp-@bcp 'grgkotroborf

• @bfp-@bcp Nuruk &oéfœ #gebcbgrķ

• @bfp-@bcp &frfœ @cjmsf!cjbgrķ

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  Kubtfvfergtðr vo @bfp @bcp‖bgr  

*

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Kubtfvfergtðr vo @bfp @bcp‖bgr 

Ifrfœ

+gro vo!g nfmnðrtioj sfj!gb ,rotoj obomtrcjfm novrobor .Kubtfvfergtðr‖ cbgrgm gnbgjnķrķbķr/Kubtfvfergtðrborfj ,rottfēf sfj!gbbor nf<ftgb novroborno totfmboko 7 sggt (hbchm) sfj!gbf cbgrgmmubbgjķbķr/ Kubtfvfergtðrbor ,é irueg g!rķbķr5

  f- $oreost égbķœgj (%stgebo) kubtfvfergtðrbor

  ff- #om mgrgrbķ (Kcjcstgebo) kubtfvfergtðrbor

  fff- "ft mgrgrbķ (8fstgebo) kubtfvfergtðrbor/

Nķœgrķngj efr k,ng>gbo ioromsfjfk nu!kgngj eobfrbf grgbķmbgrbg nuruk noēfœtfrorom sfj!gb,rotoj kubtfvfergtðr .soreost égbķœgj kubtfvfergtðr‖ cbgrgm fsfkbojnfrfbfr/

Nķœgrķngj u!iubgjgj u!iuj efr sfj!gb fbo nurukuju ioéfhf efr s,ro noēfœtfrfp efr s,ro scjrgtomrgr osmf nurukujg nðjoj kubtfvfergtðr novrosf .tom mgrgrbķ kubtfvfergtðr‖ cbgrgmgnbgjnķrķbķr/ 8u tfp kubtfvfergtðrno ifrfœo u!iubgjgj sfj!gb fbo novrojfj osmf nurukujgnðjko s,rosf g!grbgjgrgm fstojfboj œomfbno mgro vo!g nfmnðrtioj ngbig ,rotfboefbfr/

Nķœgrķngj efr k,ng>gbo !gpķbkgnķēķ s,roho eubujnuēu nuruku scjsu?g nom mcru!gjkubtfvfergtðr novrosf .éf t̀ mgrgrbķ kubtfvfergtðr‖ cbgrgm gnbgjnķrķbķr/ 8u eðb,knofjhobo!ohoēfkf? bfp-bcp novroborf éft mgrgrbķ kubtfvfergtðr u!iubgkgbgrķ cbnuēujngjðjhobfmbo eu tfp kubtfvfergtðr, cbuœturgj obomtrcjfm novro!f fjhobo!obfk/

Śomfb 6.7. "ft mgrgrbķ kubtfvfergtðr novrosf/

76

09hh

1 6

1 41 =

##6

2% 28

&frfœ % &frfœ 8

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  Kubtfvfergtðr vo @bfp @bcp‖bgr  

;omfb :/‖no obomtrcjfm novrosf iðr,boj éft mgrgrbķ kubtfvfergtðr novrosfjo nķœgrķngj efr otmf!gpķbkgnķēķ s,roho trgjsfstðrbor nurukbgrķjķ vo éķmķœbgrng sg>fp cbnumbgrķ noēorborfjfmcrurbgr/ Novrono fmf trgjsfstðr g!jķ égbķœkg nurukujng eubujgkg?/ Novrojfj égbķœkgsķjķgéķmbgkg!g !grnķkhķ cbkgsķ gkghķ!bg #‖fj fbotfkno #6‖jfj !gbķtķkng cbnuēuju mgeub

onobfk/#  fbotfkno fmoj #6‖jfj eo!?f 1 =  ,?orfjnoj œgso pctgjsf!obfjnonfr (!gmbgœķm 3 9) vo eujonojbo !gbķtmgjnķr/ Nķœgrķngj u!iubgjghgm efr otmf (sfj!gb) fbo #  trgjsfstðr, !gbķtķkgiðt,r,b,rso #‖fj mcbomtðr,jno 1  ,?orfjnoj 09 iorfbfkf ið?,m,r/ 8u nurukng bc<fm .3‖noēorfjo sg>fp cbgj 2% éķmķœķ nuruk noēfœtfrfr vo 2%L noēorfjf gbķr/

#‖fj mcbbomtðr,jnomf iorfbfk 1 = ,?orfjnoj #6  trgjsfstðr,j,j eo!?fjo u!iubgjnķēķjngj #6

fbotfko ioéor/ #6‖jfj mcbomtðr, œgso pctgjsf!obfjo iobfr vo eu jcmtg!g egēbķ cbgj #

trgjsfstðr,j, !gbķtķkng tutgr/ 8u nuruk #6‖jfj ifrfœfjo efr otmf 7 sfj!gb u!iubgjķp !gbķtķkgiðt,r,b,jho!o mgngr novgk onor/

"gbķœkgsķ gjbgtķbgj novro nf<ftgb obomtrcjfmto !g!iķj cbgrgm mubbgjķbgj vo eu jonojbo iojfœ

cbgrgm fjhobo!ohoēfkf? @bfp-@bcp (@@) novrosfjfj tokobfjf cbuœturur/

7. @bf!@b"#bgr vo @bf!@b" $oœftborf

Novro!o égbķœkg iorfbfkf u!iubgjnķēķ s,roho nurukuju vo eujg egēbķ cbgrgm éķmķœķjngmfnoēorf novgkbķ cbgrgm mcru!gefboj kubtfvfergtðr éoœfnf .@bf!@b"‖ cbgrgm gnbgjnķrķbķr vo.@@‖ >grborf fbo sokecbf?o onfbfr/

Gc<fm mgpķbgrbg cbuœturubgj bfp-bcp‖bgr bc<fm novroborno mubbgjķbgj oj ðjokbf eobbomobokgjbgrķnķr/ @bfp-bcp‖bgrķ cbuœturgj bc<fm mgpķbgr jcrkgbno mojnf egœbgrķjg efbif sgmbgkgmgpgsftosfjo sg>fp noēfbbornfr/ %jhgm efrmgé tgjo mgpķ novrosf efbif sgmbgkg fœbokfcbuœturghgm œomfbno egēbgjgrgm efbif sgmbgkg mgpgsftosf cbuœturubgefbfr/

8fr eftbfm efbif sgmbgkg !otojoēfjo sg>fp bfp-bcp novroborfjno efrf sgmbgjgj efbifjfj (eftfj)jcrkgb noēorfjo nfēorf t,kbo!oj noēorfjo sg>fp fmf éķmķœ eubujur/ ;omfb :/6‖no sokecb,iðr,boj @@ 2 vo 2E cbgrgm fsfkbojnfrfboj vo efrefrfjfj torsf cbgj fmf éķmķœg sg>fptfr/ %& éķmķœķj"rkgb éķmķœ' &( fso torsbojkfœ éķmķœ# cbgrgm mgeub onfbfr/ "ķmķœ nojnfēf ?gkgj 2 éķmķœķroorgjs gbķjķr/ Hrjoēfj @@‖jfj éķmķœķ EE nojnfēf ?gkgj 2L mgstonfbf!crnur vo eu nurukng2EL3 noēorfjo sg>fptfr/ Omf grmbķ mcjukngj (3 vo!g ) efrfsfjf gbgefboj @@‖no éķmķœbgrķjgbghgēķ noēorborf @@‖jfj mcjukuju noēfœtfrko mgpgsftosfjo sg>fp ifrfœbor eobfrbor/ @@‖jfjéķmķœ nurukuju noēfœtfrkom féfj ifrfœfj totfmbojkosf ioromfr/ @@‖jfj éķmķœķjķ noēfœtfrojtotfmboko ngreosfjfj scjg orkosfjnoj scjrg @@‖jfj éķmķœķ mcjukuju mcrur/ 8u nuruk@@‖jfj eobbom ð?obbfēf iðstorkosfjf sgēbgr/ Nfēor efr no!fœbo totfmboko sfj!gbf fbo @@‖jfjnuruku noēfœtfrfbkonfēf s,roho @@ nurukuju scjsu?g mgngr mcru!gefbfr/

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Kubtfvfergtðr vo @bfp @bcp‖bgr 

  2 crkgb éķmķœ&frfœbor 

  2E #orsbojkfœ éķmķœ

Śomfb 6.). @bfp - @bcp novrosf iojob sokecb,/

@@‖bor %Bgt*+# vo!g %éf`t mgrgrbķ kubtfvfergtðr# ifef nfēor fsfkborbo no gnbgjnķrķbķr/ .Ggth>‖torfkf eobfrbf tfp @@‖bor féfj mubbgjķbķrmoj .éft mgrgrbķ kubtfvfergtðr‖ (efstgebo kubtfvfergtcr)torfkf @@‖bor féfj mubbgjķbgj ng>g tomjfm efr torfknfr/

Omfbf efbifborfj bfp-bcp‖g grmbķ egēbgjtķ!g sg>fp efboœfm novrobor ,?orfjnoj u!iubgjkgsķscjuhu bfp-bcp éoœftborf cbuœur/ Nfēor efr no!fœbo tokob @@ novrosfjfj egēbgjtķsķjķjnoēfœtfrfbkosf vo !ojf ð?obbfmbor ombojkosf fbo cbuœturubgj éoœftbf @@ t,rborf eubujkgmtgnķr/8ujbgrngj oj écm mubbgjķbgjbgr

7!, 1 - $ (1osot - $ot) tfpf @@/

)!, #otfmbokobf (hbchmon) 1- $ @@/-!, I - + #fpf @@/!, %jg - A!nu (Kgstor - $bgvo) #fpf @@//!, N (Ngtg) #fpf @@/<!, # (#ciibo) #fpf @@/

cbgrgm sķrgbgjgefbfr/ Fj écm mubbgjķbgj @@ éoœftborfjf g!rķjtķbķ cbgrgm fjhobo!obfk/

7.7. 5 @bf!@b" 8ovrosf

Omf éķmķœg sg>fp @@‖no fmf grmbķ éķmķœ nuruku eubujkgmtgnķr5 2L3 2EL vo 2L 2E L3nurukbgrķ/ 2L3 vo 2EL cbnuēu nuruk éķmķœ .3‖ vo!g %rosot!sķ`ķrbg#  nuruku cbgrgmtgjķkbgjķr/ Dbuœgefbohom fmfjhf nurukuju fgno onoj 2L vo 2EL3 nuruku éķmķœ .‖ vo!g%sot!mur# nuruku cbgrgm gnbgjnķrķbķr/

8u nurukng @@‖jfj éķmķœķjng 2L3 cbkgsķjķ sgēbg!gj ifrfœf .1osot-1‖ éķmķœķj 2Lnurukuju cbuœturgj ifrfœf fso .$ot-$‖ cbgrgm n,œ,j,boefbfr/ "ķmķœbgrķj efrefrfjfj torsf cbnuēu

 eu nurukbgr jcrkgb égbķœkg nurukbgrķ cbgrgm mgeub onfbfr/ @@ ifrfœborfjfj .sot-mur ($)‖ vo.rosot-sfb (1)‖ cbgrgm fsfkbojnfrfbkosf fbo 1-$ @@ cbgrgm gnbgjnķrķbgj @@ t,r, crtg!g éķmgr(;omfb :/=)/ 1$ tfpf @@ 2L vo 2EL3 fmoj .sot# (murkg) 2L3 vo 2EL cbnuēujng fso .rosot#(sfbko) nurukujngnķr/

)7

@bfp-@bcp(@@)

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Kubtfvfergtðr vo @bfp @bcp‖bgr  

$

2

&O1 

O;GF1 

Śomfb 6.-. 1$ tfpf @@ sokecb,/

#okob @@ novrosf fmf .9FNFMOG‖ vo!g fmf .9FB%NFMOG‖ mgpķsķ fbo ioréomboœtfrfboefbfr/.9FNFMOG‖ mgpķbgrķ!bg !gpķbgj novro .9FNFMOG  bgt*+#  vo!g mķsghg %bgj*+#  cbgrgm.9FB%NFMOG‖ mgpķbgrķ mubbgjķbgrgm cbuœturubgj novro fso .>?0G8?91B bgj*+#  nf!ofsfkbojnfrfbfr/ or fmf tfp .bgjh>‖ novrosfjno mgpķbgrngj efrfjfj éķmķœķ nfēorfjfj ifrfœfjoégprg? œomfbno egēbgjkķœtķr/ 2 vo 2E cbgrgm fsfkbojnfrfboj mgpķ éķmķœbgrķ .bgjh>‖ éķmķœbgrķnķr

(;omfb :/4)/  .9FB%NFMOG‖ mgpķsķjķj ifrfœborfjnoj efrfsfjfj .‖ cbkgsķ éķmķœķjķj .3‖ cbkgsķ féfj!otorbfnfr/ or fmf ifrfœfj .3‖ cbkgsķ nurukujng éķmķœ .‖ cbur/ .9FB%NFMOG‖ mgpķsķjķjð?obbfēfjf >gtķrbgttķmtgj scjrg .9FB%NFMOG‖ mgpķbgrķ fbo cbuœturubgj 1$ @@ novrosfjfjégbķœkgsķjķ fjhobo!obfk (;omfb :/4)/

 $ 1 2 2E 3 33 3 3 $L 1L3 ngj scjrg3 3 3 3 3 $L3 1L noj scjrg

3 3 (!gsgm)

Śomfb 6.. .9FB%NFMOG‖ mgpķbgrķ fbo !gpķbgj 1$-@@ novrosf vo ncērubum tgebcsu/

.9FB%NFMOG‖ mgpķbgrķ!bg cbuœturubgj @@ novrosfjno @@‖jfj nuruku noēfœtfrfbkonfēfs,roho >or fmf ifrfœ .3‖ noēorfjo sg>fptfr (;omfb :/4)/ $ot ifrfœfjo .‖ u!iubgjkgsķ 6 jcbu.9FB%NFMOG‖ mgpķsķjķj éķmķœķjķj vo jcbu .9FB%NFMOG‖ mgpķsķjķj ifrfœborfjfj efrfsfjfj.3‖ cbkgsķjķ sgēbgr/ 8u gjng jcbu .9FB%NFMOG‖ mgpķsķjķj >or fmf ifrfœf .3‖ noēorfjf gbķr/or fmf ifrfœf .3‖ cbgj jcbu .9FB%NFMOG‖ mgpķsķ éķmķœķ .‖ cbur/ 8u nuruk @@‖jfj .sot‖nurukujg (2L) ioékosfjo jonoj cbur/

1osot ifrfœfjo .‖ u!iubgjkgsķ jcbu .9FB%NFMOG‖ mgpķsķjķj éķmķœķjķj vo 6 jcbu.9FB%NFMOG‖ mgpķsķjķj ifrfœfjnoj efrfsfjfj .3‖ cbkgsķjg jonoj cbur/ %!jķ gjng nfēor ifrfœf

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Kubtfvfergtðr vo @bfp @bcp‖bgr 

no .3‖ cbgj 6 jcbu .9FB%NFMOG‖ mgpķsķjķj éķmķœķ .‖ noēorfjf gbķr/ 8u nuruk @@‖jfj 2L3(rosot) nurukujg ioékosfjf sgēbgr/

or fmf ifrfœo E3E u!iubgjkgsķ @@ sot nurukujng fmoj sot ifrfœfjo .‖ u!iubgjkgsķ vo!g @@

rosot nurukujng fmoj rosot ifrfœfjo .‖ u!iubgjkgsķ nurukbgrķ @@‖ uj mcjukuju (éķmķœbgrķ)noēfœtfrko?/ or fmf ifrfœfj E3E cbnuēu nuruk (eobfrsfbfm( cbgrgm tgjķkbgjķr vo eu nurukng@@ oj scj eubujnuēu mcjuku mcrur/ or fmf ifrfœo .‖ u!iubgjkgsķ nurukujng fso fmf éķmķœtg3‖g ifnor/ (4gjķksķ( cbgrgm fsfkbojnfrfboj eu nurukngj mgéķjķbkgsķ ioromfr/

1$ @@ .9FB%NFMOG‖ mgpķbgrķ fbo cbuœturubkgsķjg eoj?or œomfbno .9FNFMOG‖ mgpķbgrķ fbono cbuœturubgefbfr/ ;omfb :/J‖no .9FNFMOG‖ mgpķbgrķ!bg cbuœturubgj 1$ @@ novrosf voncērubum tgebcsu iðr,bkomtonfr/ .9FNFMOG‖ mgpķsķjķj ifrfœborfjnoj efrf .3‖ cbnuēu nurukngéķmķœ .‖ noēorfjf gbķr/ Novrojfj égbķœkgsķjķ gjbgkgm féfj grmbķ ifrfœ nurukbgrķjng cbuœghgmcbg!bgrķ fjhobo!obfk5

&frfœboro $L3 1L u!iubgjkgsķ nurukujng )  jcbu .9FNFMOG‖ mgpķsķjķj ifrfœborfjnoj efrfsf .3‖ cbur/ &frfœbornoj efrfsfjfj .3‖ cbkgsķ fbifbf .9FNFMOG‖ mgpķsķjķj éķmķœķjķj .‖

cbkgsķ féfj !otorbfnfr/ 8u nurukng 2EL noēorfjf gbķr/ 8u noēor fbo jcbu .9FNFMOG‖mgpķsķjķj >or fmf ifrfœf .‖ cbghgēķjngj 2L3 éķmķœķ cbuœur/ $cjué cbgrgm $L3 1L ifrfœnoēorborfjno éķmķœbgrng 2L3 2EL noēorborf cmujur/ 2L3 vo 2EL cbuœkgsķjķ sgēbg!gjfœbok .sķ`ķrbgkg!=rosottfj2,‖ cbgrgm 2L3 nuruku fso .sķ ķ̀r =rosot, ;uruku‖ cbgrgmfsfkbojnfrfbfr/

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3 33 3 3 $L 1L3 ngj scjrg3 3 3 3 3 $L3 1L noj scjrg (!gsgm)

 

Śomfb 6./. .9FNFMOG‖ mgpķbgrķ fbo cbuœturubgj 1$-@@ novrosf vo ncērubum tgebcsu/

.9FNFMOG‖ mgpķsķ fbo cbuœturubgj @@ novrosf ifrfœborfjo $L vo 1L3 noēorborfu!iubgjnķēķjng jcbu .9FNFMOG‖ mgpķsķjķj .NFMOG‖ mgpķsķjg egēbķ cbgj ifrfœf .3‖ cbur voifrfœborfjnoj efrfsf .3‖ cbgj eu mgpķjķj éķmķœķ .‖ noēorborfjf gbķr/ 8u nurukng 6 jcbu.9FNFMOG‖ mgpķsķjķj >or fmf ifrfœf .‖ cbnuēujngj 2EL3 noēorf cbuœur/ 2L vo 2EL3mcjukujng fmoj 1L cbsg efbo %N‖fj éķmķœķ .‖ %N-6‖jfj éķmķœķ E3E noēorborfjfsgmbgr/ @@ novrosfjno $L cbkgsķ fbo cbuœgj 2L nuruku (murkg =sot, ;uruku('  2Lcbkgsķjķ sgēbg!gj fœbok fso ( murkg =sottfj2,( cbgrgm fsfkbojnfrfbfr/

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Kubtfvfergtðr vo @bfp @bcp‖bgr  

2L3 vo 2EL fmoj $L3 vo 1L3 ifrfœborf u!iubgjķrsg 2L3 noēorf (éķmķœķ) .9FNFMOG‖-6‖jfjéķmķœķjķj .‖ mcjukujng mgbkgsķjķ sgēbgr/ 8u nuruk 2L3 vo 2EL fmoj $L1L3 !gpķbkgsķnovrono >or>gjif efr noēfœfmbfm !gpkg? nf!o ð?otbojoefbfr/

or fmf ifrfœfj g!jķ gjng .‖ cbkgsķ nurukng 2L2EL cbur vo fstojfbko!oj efr nuruk crtg!géķmgr/ %0gsgm ;uruk# cbgrgm gnbgjnķrķbgj eu nurukngmf égbķœkgngj mgéķjkgm ioromfr/ 8unuruk $L1L nuruku .9FNFMOG‖ fbo !gpķbgj @@‖borno mubbgjķbgkg? nf!o ð?otbojoefbfr/

8urgng géķmbgjgj vo 1$ (rosot-sot) @bfp-@bcp cbgrgm fsfkbojnfrfboj @@ egēbgjtķsķjķjnoēfœtfrfbkosf vo !ojf ð?obbfmbor ombojkosf fbo nfēor @@ éoœftborf cbuœturubur/ 

7.). 4otfmbokobf ! 5ggtbf = :b"*mo; ! 4rf22oro; , ! 5 4ff @bf! @b"

@@‖jfj mcjukujuj noēfœtfrfbkosf fœbokf %totfmboko# cbgrgm gnbgjnķrķbķr/ #otfmboko ifrfœfjfj eubujkgnķēķ @@ nurukbgrķjķj mcjtrcb ifrfœborfjnomf efbifjfj noēfœkosf gjķjng noēfœtfēf@@‖bor .%sojmrcj @@‖bor‖ cbgrgm fsfkbojnfrfbfr/ #otfmboko ifrfœfjo sg>fp vo @@‖jfjnurukujuj totfmboko ifrfœfjnoj u!iubgjgj sfj!gbo egœbķ cbgrgm noēfœtfēf @@‖bor .$ojmrcj

@@‖bor‖ cbgrgm tgjķkbgjķr/ $ojmrcj sfstokborno >or>gjif efr éķmķœķj noēorfjfj noēfœoefbohoēf?gkgjbgr %totfmboko sfj3gbf#  (hbchm - sggt) gnķ vorfboj mgro vo!g nfmnðrtioj œombfjnomfsfj!gb tgrgķjngj eobfrbojfr/ #otfmboko sfj!gbf cbgrgm mubbgjķbgj sfj!gbfj gmtf nuruk (mojgr)noēfœfkf 3‖ngj ‖o fso eujg %"ftf` mojgr ;oLfœfkf# (pcsftfvo icfji trgjsftfcj - '&#) gmtfnuruk noēfœfkf ‖noj 3‖g ncēru fso %jo2gtf` mojgr ;oLfœfkf# (&#) gnķ vorfbfr/

Śomfb 6.<. #otfmbokobf 1$ @@ sokecb,/

%4otfmboko sfj3gbf# cbgrgm fsfkbojnfrfboj sfj!gb totfmbokobf @@‖borno eubujgj ,é,jh, ifrfœou!iubgjķr/ #otfmboko fœbokfjfj cbuœkgsķ féfj iorombf totfmboko sfj!gbfjf @@‖!o u!iubgkgmgkghķ!bg @@‖no cbuœturubgj ,é,jh, ifrfœ (totfmboko 2frfœf( cbgrgm gnbgjnķrķbķr (;omfb :/C)/#otfmboko ifrfœf .hbm‖ >grborf fbo iðstorfbfr vo %*bm 2frfœf# cbgrgm ng fsfkbojnfrfbfr/ #otfmbokoifrfœfjfj ombojkosf!bo sojmrcj grnķœķb novro nurukujg ioboj 1-$ @@ novrosfjno mcjtrcb (1-$) ifrfœborfjfj noēfœkosf éķmķœbgrķ >okoj noēfœtfroko?/ "ķmķœbgrķj noēfœkosf totfmbokoifrfœfjo u!iubgjgj fœgroto egēķkbķnķr/

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Kubtfvfergtðr vo @bfp @bcp‖bgr 

#otfmbokobf 1$ @@‖bor 1$ @@ novrosfjfj ifrfœborfjo mgpķ novroborf ombokom surotf!bo obnoonfbfr/ #otfmboko ifrfœf ombojkfœ 1-$ @@ novrosfjfj sokecb, vo .9FNFMOG‖ mgpķbgrķ!bgtotfmboko ifrfœf cbuœturubkgsķ fœbokf ;omfb :/\‖no iðr,bkomtonfr/ Bgpķbgj fœbok 1$ @@‖jfjifrfœborfjo =/ ifrfœ cbuœturghgm œomfbno .9FNFMOG‖ mgpķbgrķ egēbgjkgsķnķr/

Śomfb 6.. #otfmbokobf 1-$ @@‖jfj sokecb, vo .9FNFMOG‖ ifrfœbf totfmbokobf 1$ @@ cbuœturubkgsķ/

;omfb :/*/g vo :/*/e‖no .9FNFMOG‖ mgpķbgrķ!bg cbuœturubgj totfmboko ifrfœfjfj.9FB%NFMOG‖ vo .9FNFMOG‖ mgpķbgrķ!bg cbuœturubgj 1$ @@ novrosfjo ombojkosf fbocbuœgj totfmbokobf 1$ @@ novroborf iðr,bkomtonfr/ ;omfb :/*/h‖nomf ncērubum tgebcsujnggrmbķ $-1 ifrfœ nurukbgrķjng .Wbm‖ sfj!gbfjfj otmfsf géķmbgjkgmtgnķr/ ;omfb :/*/n‖no $ vo 1ifrfœborfjfj gbnķmbgrķ grmbķ noēorbor vo .Wbm‖ sfj!gbf fbo 2 éķmķœķjķj gbnķēķ nurukbgr ngbigœomfbborf cbgrgm iðstorfbkomtonfr/

.9F‖ vo .9FB%NFMOG‖ mgpķbgrķ fbo cbuœturubgj totfmbokobf 1$ @@‖no cbuœgj cbg!bgrgœgēķngmf œomfbno ð?otbojoefbfr5

8gœbgjiķétg 1L$L3 vo 2L3 fmoj WbmL noēorfjf gbsg efbo @@‖jfj nuruku noēfœko? vo 2L3nuruku novgk onor/ 8u nuruk 1L$L3 ifrfœborfjno @@ kovhut nurukuju mcrur œombfjnoð?otbojoefbfr/

$L 1L3 ifrfœborfjno .Wbm‖ sfj!gbfjfj !,msoboj mojgrķ fbo @@ otmfbojfr vo 2L noēorfjf gbķr/

$ 1 ifrfœborf nurukbgrķjķ mcrurmoj .Wbm‖ sfj!gbf nuruk noēfœtfrso ng>f 2L nuruku novgkonor/ $L 1L3 nurukujng fmoj .Wbm‖ sfj!gbfjfj !,msoboj mojgrķjķj cbuœturnuēu 2L éķmķœķ%sot# nuruku cbgrgm fsfkbojnfrfbfr/

$L3 1L noēorborfjo sg>fp fmoj .Wbm‖ sfj!gbfjfj fbm !,msoboj mojgrķ fbo 2L3 2EL noēorborfcbuœur/ 8u nuruk $L3 1L cbnuēu s,roho novgk onor vo %sķ`ķr =rosot,#  mcjuku cbgrgmgnbgjnķrķbķr/

$L 1L nuruku éķmķœtg eobfrsf?bfm cbuœturghgēķjngj eu nurukngj mgéķjķbkgbķnķr/ 8obfrsf?éķmķœ @@‖jfj mubbgjķbnķēķ novrono n,?ojsf? égbķœkg!g jonoj cbur/

$cjué cbgrgm sojmrcjf?o mcjtrcb ifrfœborf cbgrgm fsfkbojnfrfboj 1 vo $ ifrfœborfjfj .Wbm‖

sfj!gbf !grnķkķ!bg @@‖jfj éķmķœ nurukuju eobfrbonfēf sð!bojoefbfr/ oigtf totfmbokobf@@‖borno cbuœgj ncērubum tgebcsu pc?ftf mojgr totfmbokobf 1-$ @@‖borfj g!jķsķnķr/ #om grm

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Kubtfvfergtðr vo @bfp @bcp‖bgr  

nuruk noēfœkosfjf sgēbg!gj fœgrotfj ‖noj 3‖g ifnormoj @@‖jfj mcjukuju noēfœtfrkosfnfr/;omfb :/*‖no iðstorfboj >or fmf tfp totfmbokobf 1-$ @@ éoœftbf nf<ftgb novrobornomubbgjķbkgmtgnķr/ 

g,.9FNFMOG‖ mgpķbķ totfmbokobf 1-$ @@/ e,.9F79FB%NFMOG‖ mgpķbķ totfmbokobf @@/

  5 :B $ķmķœ &   $ 33 3 23 (Noēfœfmbfm !cm)3 1    3 3 8obfrsf? WG+ 

 2 *, Ncērubum tgebcsu/ ;, 1$ @@ ðrjom nuruk noēfœfkborf/

Śomfb 6.H/ #otfmbokobf 1-$ @bfp-@bcp bc<fm novroborf mgrgmtorfstfm tgebcsu vo ðrjom nuruk noēfœfkf/

1$ @@‖borfj totfmboko fœbokfjnoj eombojoj fœbokborf ioréomboœtfrkokosf jonojf fbo 1$@@‖bor totfmbokosf? gsojmrcj grnķœķb novroborno mubbgjķbķr/ #otfmboko fœbokfjfj eubujnuēunovroborno fso #otfmbokobf @@ cbgrgm N vo I+ @bfp-@bcp‖bgr vo ð?obbfmbo ng>g egsft !gpķngcbkgsķ jonojf fbo N @@‖bor torhf> onfbkomtonfr/

@@ ncērubum tgebcsujng 2 éķmķœķ cbgrgm eobfrtfboj noēorbor @@‖jfj eubujubgj gjngmfnurukuju iðstorfr/ $ vo 1 ifrfœborfjfj k,km,j cbgj mckefjgs!cjbgrķjg totfmboko sfj!gbfu!iubgjkgsķ nurukujng cbuœgj !ojf éķmķœ nurukbgrķ (&=tN7, ;uruku( cbgrgm fsfkbojnfrfbfr/2 noēorf ið? ðj,jno tutubgrgm (,é,jh, ifrfœ cbgrgm mgeub onfbfp) 1-$ noēorborfjo iðro 2(t0)éķmķœķ !g?ķbķrsg ;omfb :/:/g‖ngmf ncērubum tgebcsu cbuœur/ Dbuœgj ncērubum tgebcsu .@@mgrgmtorfstfm tgeb"su‖ cbgrgm fsfkbojnfrfbfr/

Dbuœgj ncērubum tgebcsujuj +grjgui> >grftgsķjg tgœķjkgsķ fbo ;omfb :/:/e‖nomf +grjgui>>grftgsķ crtg!g éķmgr/ Ncērubum tgebcsujng eubujgj eobfrsf? nurukbgr +grjgui> >grftgsķjng

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Kubtfvfergtðr vo @bfp @bcp‖bgr 

grmotko?-(n) cbgrgm iðstorfbfr/ +grjgui> >grftgsķjng obno onfboj oœftbfm ðjhomf nuruk .2‖ vo$1 ifrfœborfjfj cjmsf!cju cbgrgm scjrgmf nurukuj noēorfjf vorkomtonfr/ Fbno onfboj oœftbfēo$1L3 tgjķkbgkgsķ $ vo 1 ifrfœborfjfj g!jķ gjng noēorfjf gbgkg!ghgēķjķ eobfrtkom féfjombojkobfnfr/ Fbno onfboj oœftbfm fbifbf @@‖!o gft .mgrgmtorfstfm ;ojmbok‖ cbgrgm

fsfkbojnfrfbfr/

 =g, =e,

Śomfb 6.6. #otfmbokobf 1-$ @@‖jfj mgrgmtorfstfm tgebcsu vo mgrgmtorfstfm nojmbokf/

7.-. O! @bf!@b" =O @@,

I-+ @bfp-@bcp 1$ @@‖borfj eobfrsf?bfm nurukuju crtgngj mgbnķrkgm gkghķ!bg iobfœtfrfbkfœ@@ éoœfnfnfr/ #gjķksķ? nurukbgrķj tgjķkbķ >gbo iobnfēf I-+ @@‖borno I vo + ifrfœborf @@‖fmurkgm vo sfbkom féfj $ vo 1 ifrfœborf ifef ngvrgjķr (;omfb :/3/g)/ I ifrfœfjfj $‖!o +ifrfœfjfj 1‖!o nojm iobnfēf I-+ @@‖borno IL+L nurukujng fmoj totfmboko sfj!gbfjfj >or

 pc?ftf mojgrķ fbo éķmķœ efr ðjhomf nurukuj torsf noēorfjf gbķr/ Bgjf 2L fso 3‖g 2L3 fso ‖oioéfœ cbur/ 8u fœbok %t"22bo# (tors éovfrko) cbgrgm fsfkbojnfrfbfr/ 8u fœbokfj novgkbķioréomboœtfrfbkosf féfj IL vo +L nurukujng eķrgmķbķr/ 

;omfb :/3/e‖nomf ncērubum tgebcsu I-+ @@‖jfj égbķœkgsķjķ ð?otbokomtonfr/ I+ @@ ncērubumtgebcsu >or fmf ifrfœfj .‖ cbnuēu nuruk >grfhfjno totfmbokobf 1$ @@ ncērubum tgebcsujujg!jķsķnķr/

;omfb ://g‖ng bc<fm novro œokgsķ iðr,boj I+ @bfp-@bcp novrosfjno 2 éķmķœķ + vo .Wbm‖ifrfœborf!bo 2E éķmķœķ I vo .Wbm‖ ifrfœborf!bo eorgeor .9F‖ fœbokfjo tgef tutubkuœtur/

2L3 fmoj IL+L3 ifrfœborfjfj u!iubgjkgsķ fbo éķmķœ efr ðjhomf nurukuj g!jķsķ cbur/ 8unuruk 2(t0) L 2(t) œombfjno ð?otbojoefbfr/

IL3 +L vo IL +L3 ifrfœ nurukbgrķjng éķmķœ I noēorborfjf f?bor/ Bgjf IL3 +Lnurukujng 2L3 vo IL +L3 nurukujng 2L noēorfjf gbķr/

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Kubtfvfergtðr vo @bfp @bcp‖bgr  

IL3 vo +L fmoj totfmboko sfj!gbf (.hbm‖ pgbsķ) fbo @@‖jfj 2L3 noēorfjf gbkgsķ nuruku%osot# cbgrgm tgjķkbgjķr/ IL +L3 nurukujng fmoj .Wbm‖ pgbsķ fbo 2L noēorfjf gbkgsķnuruku fso %5ot#  cbgrgm eobfrtfbfr/ @grmbķ I+ mckefjgs!cjbgrķjng .Wbm‖ sfj!gbf fbo 2éķmķœķjng cbuœghgm nuruk noēfœfkborf ;omfb ://e‖no iðr,bkomtonfr/

=g, =e,

Śomfb 6.7.  I-+ @@ sokecb, vo ncērubum tgebcsu/

 

=g, =e,

Śomfb 6.77. I+ @@ bc<fm novro œokgsķ vo ðrjom nuruk noēfœfkborf/

I+ @@‖jfj égbķœkgsķ 2 éķmķœķjķj ðjhomf nuruku ið? ðj,jno tutubgrgm ncērubum tgebcsujngiðstorfbfrso ;omfb :/6/g‖ngmf mgrgmtorfstfm tgebc crtg!g éķmgr/ 8u tgebcjuj +grjgui>>grftgsķjg tgœķjkgsķ fbo &=tN7, nuruku cjmsf!cj cbgrgm tgjķkbgjgefbfr (;omfb :/6/e)/ I+@@‖no !gpķbgj fœbok

f- IL3 +L vo IL+L3 nurukbgrķjng éķmķœ I noēorfjf f?bor/

ff- IL+L3 nurukujng ðjhomf 2 éķmķœķjķ mcru!gj novro IL+L nurukujngðjhomf éķmķœķj torsfjo sg>fp cbur œombfjno ð?otbojoefbfr/

8u géķmbgkgbgrngj .1$ @@‖no eubujgj !gsgm nuruk I+ @@‖no crtgngj mgbmkķœtķr‖iojobbokosf !gpķbgefbfr/

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Kubtfvfergtðr vo @bfp @bcp‖bgr 

 oigtf totfmbokobf I+ @@‖jfj égbķœkgsķ vo éķmķœ nuruku @@‖jfj nuruk noēfœtfrko gjķjķjtotfmboko sfj!gbfjfj joigtfo ifnoj mojgrķjng cbkgsķ >grfhfjno pc?ftf totfmbokobf novrojfjg!jķsķnķr/

 

=g, =e,

Śomfb 6.7). I-+ @@ mgrgmtorfstfm tgebcsu vo mgrgmtorfstfm nojmbokf/

7. 8 4ff @bf!@b" =8 @@,

#okob 1$ @@‖noj ,rotfboj nfēor efr @@ éoœfnf tom efr sojmrcj mcjtrcb ifrfœfjo sg>fp cbgj N(Ngtg) tfpf @@ novrosfnfr (;omfb :/=/g)/ N tfpf @@‖no cbuœgj fœbokbor egsfttfr 2 éķmķœķtotfmboko sfj!gbfjfj iobkosf fbo N mcjtrcb ifrfœfjfj sg>fp cbnuēu noēorf gbķr (;omfb :/=/e)/8ujuj gjbgkķ NL3 fmoj totfmboko sfj!gbfjfj iobkosf fbo 2 éķmķœķ .3‖ noēorfjo sg>fp cburnokomtfr/ NL3 nuruku novgk ottfēf s,roho .Wbm‖ sfj!gbfjfj nuruku noēfœso efbo 2L3noēorfjf mcrur/ NL noēorfjf gbkgsķ nurukujng fbm ioboj totfmboko sfj!gbfjfj pc?ftfmojgrķjng 2L noēorfjf gbķr/ 8urgng 2 éķmķœķjķj !gbjķ?hg totfmboko sfj!gbfjfj pc?ftfmojgrbgrķjng nuruk noēfœtfrnfēf ujutubkgkgbķnķr (;omfb :/4/e)/

 

=g, =e,

Śomfb 6.7-. N tfpf @@‖jfj sokecb, vo ncērubum tgebcsu/

N tfpf @@ novrosf 1$ @@‖jfj ifrfœfjo .NFMOG‖ mgpķsķ egēbgjgrgm obno onfboefbfr (;omfb:/4/g)/ Fmbojoj .NFMOG‖ mgpķsķ >ok 1$ @@‖borno eobfrsf? nuruk cbuœturgj 1L$Lnurukuju crtgngj mgbnķrķr >ok no éķmķœķj N ifrfœfjf tgmfp otkosfjf sgēbgr/

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Kubtfvfergtðr vo @bfp @bcp‖bgr  

=g, =e,

Śomfb 6.7. N tfpf @@‖jfj 1$ fbo obno onfbkosf vo ðrjom nuruk noēfœfkborf/

N tfpf @@‖jfj 2 éķmķœķ nfmmgto gbķjgrgm ncērubum tgebcsu cbuœturubur (;omfb :/J/g) vo cbuœgjncērubum tgebcsu +grjgui> >grftgbgrķjg tgœķjķrsg ;omfb :/J/e‖nomf mgrgmtorfstfm nojmbokobno onfbfr/ Fbno onfboj nojmboknoj iðr,bohoēf ,?oro @@‖jfj gbghgēķ !ojf nuruk N‖!o

 egēķkbķnķr/

  =g, =e,

Śomfb 6.7/.  N tfpf @@ mgrgmtorfstfm tgebcsu vo mgrgmtorfstfm nojmbokf/

N tfpf @@ ð?obbfēfjnoj ncbg!ķ pgrgbob éķmķœg sg>fp novroborno éķmķœbgr grgsķjng sojmrcjf?o!fsgēbgkgm gkghķ!bg mubbgjķbķr/ 8frboœfm novrojfj éķmķœbgrķ tgkpcj cbgrgm mubbgjķbgj N tfpf@@‖jfj ifrfœborfjo u!iubgjgrgm totfmboko sfj!gbf fbo sojmrcjf?gs!cj sgēbgjķr/

7./. 4 4ff @bf @b" =4 @@,

I-+ @@‖jfj ifrfœborfjfj efrboœtfrfbfp tom ifrfœ cbgrgm mubbgjķbkgsķ!bg cbuœgj novro .4"22bo@@# =4 tff @@,  cbgrgm fsfkbojnfrfbfr (;omfb :/C)/ .#ciibo‖ nurukngj nurukg ioékonokomtfr/ # tfpf @@‖no #L fmoj totfmboko sfj!gbfjfj u!iubgjkgsķ!bg sg>fp cbujgj éķmķœķjtorsbojkfœ >gbf obno onfbfr/

# tfpf @@‖no 2L3 vo #L3 fmoj .Wbm‖ sfj!gbfjfj iobkosf nurukujng éķmķœtg 2L3 noēorfmcrujur/ 2L3 vo #L noēorborfjno fbm ioboj .Wbm‖ sfj!gbf fbo éķmķœ nuruk noēfœtfrorom efrðjhomf nurukuj torsf cbur vo 2L noēorfjf gbķr/

2L vo #L3 fmoj .Wbm‖ sfj!gbf u!iubgjsg efbo novro sg>fp cbnuēu éķmķœķ mcrur vo 2L

noēorfjf gbķr/ 2L #L fmoj .Wbm‖ sfj!gbf fbo éķmķœ torsbojfr vo 2L3 cbur/

=3

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Kubtfvfergtðr vo @bfp @bcp‖bgr 

Śomfb 6.7</ # #fpf @@‖jfj sokecb, vo I+ @@‖noj # @@ obno onfbfœf/

%jbgtķbgj fœbokborfj ncērubum tgebcsujg tgœķjkgsķ fbo ;omfb :/\/g‖ngmf mgrgmtorfstfm tgebccbuœur/ #gebcngmf noēorborfj +grjgui> >grftgsķjg tgœķjkgsķ fbo mgrgtorfstfm nojmbok obnoonfbfr (;omfb :/\/e)/

# tfpf @@‖no cbuœgj fœbokbor .#L3 fmoj @@ ðjhomf mcjukuju mcrurmoj #L nurukujngéķmķœ kovhut nurukujuj torsf cbur‖ œombfjno ð?otbojoefbfr/

+grgmtorfstfm #gebc

  +grgmtorfstfm Nojmbok

  =g, =e,

Śomfb 6.7. # @@ mgrgmtorfstfm tgebcsu vo mgrgmtorfstfm nojmbokf/

7.<. Gjg 3;u =Kgstor!5bgvo, @bf!@b"

%jg-A!nu (Kgstor-$bgvo) tfpf @@ novrosf ;omfb :/*‖no iðr,bn,ē, ifef fmf 1$ @bfp-@bcp vo efr .NFMOG‖ mgpķsķ fbo cbuœturubur/ Novrono mubbgjķbgj @@‖bornoj efrfsf gjg novro!f nfēorf fsogjg novro!o egēbķ cbgrgm égbķœgj u!nu @@‖!f cbuœturur/

%jg-A!nu @@ novrosf .Wbm‖ ifrfœf .‖ cbnuēujng .%jg @@‖ novrosf .3‖ cbnuēujng .A!nu @@‖novrosf égbķœghgm œomfbno n,?ojbojkfœtfr/

#otfmboko ifrfœfjo .3‖ u!iubgjnķēķ ?gkgj .NFMOG‖ mgpķsķjķj éķmķœķ u!nu @@‖jfj .Wbm‖ifrfœfjf .‖ !gpgr/ 8u nurukng 2 éķmķœķ B‖!o 2E éķmķœķ ng B éķmķœķjg oœfttfr/ 8u gjng gjg@@‖jfj totfmboko ifrfœf .3‖ cbnuēujngj eu @@ égbķœkg? vo efr ðjhomf mcjuku mcrur/ 8ujujgjbgkķ u!nu @@‖jfj 2 vo 2E éķmķœ noēorborfjfj gjg @@‖jfj efr ðjhomf noēorborfjo sg>fpcbkgsķnķr/

-7

 

#otfmboko

ifrfœf

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Kubtfvfergtðr vo @bfp @bcp‖bgr  

Śomfb 6.7H.  %jg-A!nu @@ sokecb, vo bc<fm œokgsķ/

#otfmboko ifrfœfjfj EE !gpķbkgsķ nurukujng gjg @@ otmfj nurukg iobfrmoj u!nu @@otmfsf?nfr/ %jg @@‖jfj éķmķœbgrķ ifrfœborfj nurukujg iðro noēorbor gbķr/ Novrojfj éķmķœķ u!nu@@‖jfj nurukujg oœfttfr/

%jg-A!nu @bfp-@bcpbgr iojobno joigtf mojgr totfmbokobf cbgrgm égbķœķrbgr/ 1$ #fpf @@‖borbocbuœturubgj %jg-A!nu @@‖jfj nfēor @@ éoœftborf fbo cbuœturubkgsķ k,km,jn,r/

). 4otfmboko 5fj3gbf vo @@#bor;o 4otfmboko

@@‖borfj totfmboko ifrfœfjo u!iubgjgj mgro vo!g nfmnðrtioj œombfjnomf sfj!gbbor .totfmbokosfj3gbf A gbsķ‖ cbgrgm gnbgjnķrķbķr/ Nfēor efr noēfœbo efr grnķœķb novrojfj nurukuju noēfœtfrfp!ojf efr nurukg ioékosf féfj (efr scjrgmf nuruk) nķœgrķngj u!iubgjgj u!grkg fœgrotfjo%totfmboko sfj3gbf# nojfr/ @@‖bornomf totfmboko fœbokf totfmboko sfj!gbfjfj nuruk noēfœfkfvo!g 37 sovf!oborf sķrgsķjng ioréomboœfr (;omfb :/:/g)/

@@ novrosfjf otmfbo!oj sfj!gbfj noēfœfk !ðj, @@ sokecb, ,?orfjno eobfrtfbfr/ @@

sokecb,jnomf .U‖ fœgrotf totfmboko sfj!gbfjfj 3‖ngj ‖o vo!g ‖noj 3‖g ioéfœf sķrgsķjng @@ifrfœborfjfj otmfbf cbghgēķjķ iðstorfr/ .U‖ fœgrotfjfj ðj,jnomf ngfro (c) eubujkgsķ @@‖jfjn,œoj mojgr fbo totfmbojohoēfjf iðstorfr (;omfb :/:/e)/

@@ novrosf totfmboko sfj!gbfjfj pc?ftf mojgrķjng totfmbojf!crsg %"ftf` mojgr totfmbokobf#'sfj!gbfj joigtf mojgrķjng totfmbojf!crsg %jo2gtf` mojgr totfmbokobf# novro cbgrgm tgjķkbgjķr/#otfmboko fœbokf vo!g 3 noēorf sķrgsķjng ioréomboœf!crsg n,œo! totfmbokobf novro cbgrgmgnbgjnķrķbķr/

@@ novroborfjo totfmboko sfj!gbf gjg>tgr !grnķkķ!bg u!iubgjķrsg gjg>tgrķj mgpgtķbkgsķ vogéķbkgsķ sķrgsķjng gjg>tgrķj komgjfmsob !gpķsķ jonojf!bo sķérgkgbgr cbuœur (;omfb :/63/g)/

#otfmboko sfj!gbfjno ko!ngjg ioboj sķérgkgbgr sojmrcjf?gs!cjbu novroborno mgrķœķmbķmbgrg

jonoj cbgefbfr/ ",jm, mķsg s,robf sorf pgbsbgr sfstokfj égbķœkgsķjg otmf onoj pgrg?ftbor

=6

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Kubtfvfergtðr vo @bfp @bcp‖bgr 

cbuœturubgefbfr/ 'grg?ftborfj cbuœkgsķ cbg!ķ %5ķérgkg Fbg3ķ# (8cujhfji) cbgrgm gnbgjnķrķbķr/'grg?ftborfj cbuœkgsķjķ ojiobbokom féfj !gpķbgj fœbok fso %gjg+tgrbķ sķérgkg ðjboko#($Xfth> Noecujhfji) nf!o tgjķkbgjķr (;omfb :/63/e)/

 

=g, 

=e,

Śomfb 6.76.  #otfmboko sfj!gbborf vo totfmboko sfj!gbborfjfj @@‖boro u!iubgjkgsķ/

=g, =e,

Śomfb 6.). %jg>tgr mcjtgmbgrķjng géķbkgsķ vo mgpgjkgsķ sķrgsķjng cbuœgj sķérgkg otmfsf vo otmf!fmgbnķrkgm féfj mubbgjķbgj gjg>tgrbķ sķérgkg ðjboko novrosf/

--

#otfmbokoifrfœf

  'c?ftf (!,msoboj) oigtf (n,œoj)mojgr noēfœfkf mojgr noēfœfkf

!,msoboj mojgr totfmbokobf @@ n,œoj mojgr totfmbokobf @@

1hbm

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Kubtfvfergtðr vo @bfp @bcp‖bgr  

-. @@#bor;o Gsojmr"j Ifrfœbor

8urg!g mgngr fjhobonfēfkf? 1$ I+ N # %jg-A!nu tfpf @bfp-@bcp‖bgrķj sg>fp cbnumbgrķifrfœbor %m"jtr"b 2frfœborf#  vo!g %sojmr"jfo 2frfœbor#  cbgrgm fsfkbojnfrfbfr/ 8u ifrfœbor

totfmboko ifrfœf (Wbm) fbo fbfœmfbf cbgrgm égbķœķrbgr/ 8ujujbg eorgeor totfmbokobf @@‖borfj écēusojmrcjf?o ifrfœbor vo totfmboko ifrfœf fbo egēķksķ? cbgrgm égbķœgj efr vo!g ng>g g?bggsojmrcj ifrfœo sg>fptfr/

%Gsojmr"j 2frfœbor# @@‖jfj éķmķœ nurukuju .‖ mcjukujg iotfroj %sot fœbokf# vo!g éķmķœķjnurukuju .3‖ mcjukujg iotfroj %rosot fœbokf# féfj mubbgjķbķr/ $ot vo rosot fœbokborf !gpgjgsojmrcj ifrfœbor nfēor ifrfœboro iðro ng>g ,st,jn,rbor vo nfēor ifrfœborfj nurukujg

 egmkgmsķ?ķj @@‖jfj éķmķœ nurukuju eobfrborbor/

;omfb :/6‖no sot vo rosot gsojmrcj ifrfœborfjo sg>fp totfmbokobf I-+ @@‖jfj sokecb, voncērubum tgebcsu iðr,bkomtonfr/ oigtf mojgr totfmbokobf eu novrono >or fmf gsojmrcjifrfœfj .3‖ cbkgsķ nurukujng totfmbokobf I-+ @@ fœbokf ioréomboœtfrfbfr/ $otL3 1osotLcbkgsķ nurukujng nfēor ifrfœborfj nurukujg egmķbkgmsķ?ķj @@ éķmķœķ 2L 3 mcjukujg

iotfrfbfr/ 1osotL3 $otL nurukujng fso egœmg efr otmojo egmķbkgmsķ?ķj @@‖jfj éķmķœķ 2Lnoēorfjf gbķr/ $otL 1osotL nuruku fso eobfrsf? efr éķmķœg jonoj cbghgēķjngj mubbgjķbkg?/

 

Śomfb 6.)7/ %sojmrcj ifrfœbf I-+ @@ sokecb, vo ncērubum tgebcsu/

%sojmrcj ifrfœbor >or>gjif efr gjng @@‖jfj nurukuju eobfrbokom vo!g efr novrono efrbfmtomubbgjķbgj @@‖borfj >opsfjf efrbfmto sot 7 rosot mcjukujg iotfrkom féfj mubbgjķbgefbfrbor/'rgtfmto mubbgjķbgj @@ ojtoiroborf sot 7 rosot gsojmrcj ifrfœborfjo vo!g !gbjķ?hg rosot ifrfœfjosg>fptfr/ 8u obgkgjbgrngj efr mķskķ joigtf mojgr totfmbokobf fmoj efr mķskķ pc?ftf mojgr

totfmbokobfnfr/ Fbokgjbgr joigtf mojgr totfmbokobf fso eu ð?obbfm rosotvosot  sokecbborf

fbo fgno onfbfr/

%jbgtķbgj ð?obbfmboro sg>fp efr @@‖jfj sokecb, vo ifrfœborfjo u!iubgjgj noēfœfm ngbigœomfbborfjo obokgjķj vornfēf topmf ;omfb :/66Eno iðr,bkomtonfr/

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Kubtfvfergtðr vo @bfp @bcp‖bgr 

 

Śomfb 6.)).  %sojmrcj ifrfœboro sg>fp I-+ @@ sokecb, vo noēfœfm nurukbgrng cbuœgj éķmķœ ngbigœomfbborf/

. @bf!@b" Dgrgkotroborf

@bfp-@bcp ojtoiro novro ,rotfhfborf @@‖borfj sg>fp cbnumbgrķ ð?obbfmborf géķmbg!gj ?gkgjbgkg pgrgkotroborf vo mgrgmtorfstfmbor eobfrbokfœbornfr/ 8ujbgrngj ðjokbf cbgjbgrķ ##G vo WKD$gfboborfjnomf obgkgjbgr ,?orfjno fjhobo!obfk/

f! urkg vo 4utkg Mgkgjbgrķ =5otu gj; "b;fj2 4fkos,

urkg gkgjķ (sotup tfko-ts) totfmboko sfj!gbfjfj novrojfj nurukuju noēfœtfrkosf féfjioéoj ?gkgjnķr/ Fjtoiro novro ,rotfhfborf iojobno f?fj vorfboefboj kfjfkuk murkg ?gkgjķjķ

 eobfrtfrbor/ Fēor eu ?gkgj ioromsfjfkf sgēbgjkg?sg novro totfmboko sfj!gbborfjfj nuruknoēfœfmbfmborfjo i,vojbf topmf vorko!oefbfr/

%4utkg gkgjķ#  (>cbnfji tfko-t>) totfmboko sfj!gbfjfj sojmrcjf?o ifrfœbornomf nuruk

noēfœfmbfēfjf >fssonoefbkosf féfj iorombf ?gkgj grgbķēķnķr/ ^rotfhfbor tgrgķjngj kfjfkuksķjķrķ eobfrbojoj eu ?gkgjķj sgēbgjgkgkgsķ nurukujng @@ i,vojbf cbgrgm totfmbojoko?/

 

=g, =e,

Śomfb 6.)-. @@ mcjtrcb ifrfœborf féfj murkg - tutkg ?gkgjbgrķ vo @@ !g!ķbķk iohfmkoborf/

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Kubtfvfergtðr vo @bfp @bcp‖bgr  

#otfmbokobf @@‖jfj totfmboko sfj!gbfjo n,?i,j topmf voroefbkosf féfj sojmrcjf?o ifrfœborfj eobfrbf efr s,ro noēfœkonoj nurkgsķ ioromfr (murkg vo tutkg ?gkgjbgrķjngj ncbg!ķ)/ 8u s,ro

totfmboko sfj!gbfjfj nuruk noēfœtfrkosfjnoj ðjho EtsE mgngr nuruk noēfœfmbfēfjnoj scjrg Et>Emgngr cbkgbķnķr (;omfb :/6=/g)/ @@‖borno iojobno murkg ?gkgjķ J-J3 jsj tutkg ?gkgjķ -3jsj grgsķjng noēfœfr/ $ojmrcj sfstokborno écm ðjokbf cbgj eu ?gkgjbgrķj ðbé,k,jno nuruknoēfœfmbfmborfjfj _J3 sovf!osf roorgjs cbgrgm gbķjķr/

ff! 0g3ķbķk Io*fmkosf =Dr"g2gtf"j 8obg3,

@@‖borng totfmboko sfj!gbfjfj u!iubgjnķēķ gj fbo éķmķœķj mcjuk noēfœtfrnfēf gj grgsķjngmf?gkgj grmķjg (3g3ķbķk 2o*fmkosf( nojfr/ @@‖jfj nurukujuj 3‖ngj ‖o ioéormoj vo ‖noj3‖g ioéormoj cbuœgj !g!ķbķk iohfmkoborf ,rotfhf mgtgbcibgrķjng t'G  vo t'G  œombfjnokgmsfkuk noēorbor cbgrgm vorfbfr (;omfb :/6=/e)/

Bojf tgsgrbgjgj @@ ojtoiroborfjno !gēķbķk iohfmkosf efrmgé jgjo sgjf!o fbo ¿sj grgsķjngnoēfœfr/ &ojobno g!jķ noēoro sg>fp cbkg!gj t'G  vo t'G  ?gkgjbgrķ 2 éķmķœķjngj s,r,boj!,mborfj grtkgsķ fbo crgjtķbķ cbgrgm !,msobfr/

fff! Kgmsfkuk 4otfmboko @romgjsķ =KgJfkuk :b"*mfj2 @ro*uoj*3 C `kgJ,

.#otfmboko romgjsķ‖ @@‖jfj totfmboko ifrfœfjo i,vojbf efr totfmboko féfj u!iubgjgefbohom oj!,msom romgjsķ fgno onor/ @kgP‖ķj toksfb ottfēf noēor g!jķ sorf jukgrgbķ @@‖borno ng>fgrmbķbķm iðstoroefbfr/ 9orfboj sķjķrķj gbtķjngmf romgjsbgrng novro rgjnķkgjbķ égbķœķrmoj

 eujuj ,?orfjnomf noēorborno cbuksu? nurukbgrbg mgrœķbgœķbgefbfr/

fv! 4otfmboko sfj3gbf %7# ! %# gkgjbgrķ vo Gsojmr"j Ifrfœ 5fj3gb IojfœbfLf

  ^rotfhf frkgbgr totfmboko sfj!gbfjfj EE vo E3E nurukbgrķjng mgbkgsķ iorombf kfjfkuk?gkgjķ (Wbchm pubso fi> gjn GcX #fkos)  eobfrborbor/ .3‖ nurukujng mgbkgsķ iorombfkfjfkuk ?gkgj .tX(G)‖ cbgrgm .‖ nurukujng mgbkgsķ iorombf kfjfkuk ?gkgj .tX()‖ cbgrgmfsfkbojnfrfbfr/ Nuruk noēfœtfrkoborfj _J3 sovf!oborf grgsķjngmf ?gkgj cbgrgm tgjķkbgjgj eus,roborfj sgēbgjgkgkgsķ nurukujng i,vojbf efr totfmboko fœbokf cbuœkg!gefbfr (;omfb:/64/g)/

  =g, =e,

Śomfb 6.). #otfmboko sfj!gbf nurukbgrķ vo gsojmrcj ifrfœ sfj!gb iojfœbfēf/

=C

<

 7

 <

 Hb)hm

tX(K) tX(G)

$ot vo!g1osot

tX(G)

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Kubtfvfergtðr vo @bfp @bcp‖bgr 

^rotfhfborfj eobfrbonfēf nfēor efr pgrgkotro .sot‖ vo .rosot‖ ifrfœborfjfj (gsojmrcj ifrfœborfj)gmtf tutubkg ?gkgjbgrķnķr/ Kfjfkuk noēor cbgrgm vorfboj eu ?gkgjbgrķj sgēbgjgkgkgsķnurukujng .sot‖ vo .rosot‖ fœbokborf ioréomboœko!oefbfr (;omfb :/64/e)/

v! 4otfmboko sfj3gbf ;uruk ;oLfœtfrko gkgjķ Nuruk noēfœtfrko ?gkgjķ (Wbchm #rgjsftfcj #fkos) totfmboko sfj!gbfjfj ‖noj 3‖g vo!g3‖ngj nurukujg noēfœfrmoj ioéoj ?gkgjnķr/ &,vojbf efr totfmboko fœbokf féfj totfmbokosfj!gbf nuruk noēfœfk ?gkgjbgrķjķj  écm m,é,m tutubkgsķ iorombfnfr/ Nuruk noēfœtfrko?gkgjķjķj u?uj cbkgsķ nurukujng totfmboko fœbokf !gjbķœ !crukbgjgefbfr vo!g totfmbokofœbokf cbuœkg!gefbfr/

^rotfhfbor >or efr ojtoiro féfj iorombf kgmsfkuk nuruk noēfœtfrko ?gkgjķjķ vorkosobor nobc<fm gfbobor féfj crtgbgkg noēorbor vorkfœbornfr/ Hrjoēfj ##G gfbosf féfj nuruk noēfœtfrko?gkgjķ ≮J3 jsj vo WKD$ gfbosf féfj ≮633 jsj cbkgbķnķr/

/. @bf!@b" 8uruk Ioéfœ 4geb"bgrķ

%@bf!@b" ;"Lrubum tgeb"su#'  @@‖jfj ð?obbfēfjf vo égbķœkgsķjķ tgjķkbgr/ @bfp-bcp‖bgrķjð?obbfmborfjf tgjķkbg!gj 1$ I+ N vo # @@‖boro gft ncērubum tgebcbgrķ ;omfb :/6J‖novorfbkfœtfr/ @bfp-@bcpbgrķj égbķœkg nurukuju gjgbf? otkono cbnumég mubbgjķœbķ cbgj ncērubumtgebcbgrķ !grnķkķ!bg ifrfœ vo kovhut nuruk noēorborfjnoj g!ngbgjķbgrgm scjrgmf nurukmcbg!hg eubujgefbfr/ #gebcngmf &=t,  kovhut nuruku &=tN7, fso totfmboko sfj!gbfu!iubgjķjhg ko!ngjg ioboj !ojf nuruku géķmbgr/ ;fknf @bfp-@bcp‖bgrg gft ncērubum tgebcbgrķfjhobo!obfk5

;omfb :/6J/g‖ng iðr,boj 1$ @bfp-@bcp‖uj ncērubum tgebcsujngj 1L$L3 nurukujng ðjhomffbo scjrgmf bc<fm sovf!oborfj g!jķ cbnuēuju iðr,r,?/ $L !gpķbnķēķjng @@ éķmķœķ 2L

 pc?fs!cjuju gbķrmoj 1L cbnuēujng @@‖jfj éķmķœķ 2L3 nurukuju gbķr/ $L1L nurukujngfso éķmķœ nuruku eobfrsf?nfr/

I-+ @@‖o gft ncērubum tgebcsu tgjķksķ? nuruk >grfhfjno 1-$ @@‖jfjmf fbo g!jķnķr/ +cjtrcbifrfœborfjfj IL+L cbkgsķ nurukujng !ojf nuruk kovhut nurukuj bc<fm cbgrgm torsfnfr/

N tfpf @@‖borno 2(t0) nuruku tgkgkoj N ifrfœfjo egēbķnķr/ Kovhut nurukuj éķmķœg efrotmfsf !cmtur/

# tfpf @@‖borfj !ojf nuruku #L3 cbnuēujng kovhut nuruk fbo g!jķ fmoj #L cbnuēujngkovhut nurukuj torsfnfr/

Gc<fm novro tgsgrķkķ sķrgsķjng @@ nurukbgrķjng iorombf noēfœko!f sgēbg!ghgm ifrfœnoēfœmojborfjf eobfrbokom ðjokbfnfr/ &frfœ noēfœmoj noēorborfjfj eobfrbojkosfjno @@‖borngnuruk noēfœfmbfēfjf sgēbg!ghgm ifrfœ sovf!oborfjf iðstoroj (>or efr tfp @@ féfj grmbķ cbgj)

-

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Kubtfvfergtðr vo @bfp @bcp‖bgr  

tgebcbgrngj g!ngbgjķbķr/ Ncērubum tgebcbgrķjngj g!ngbgjķbgrgm cbuœturubgj eu tgebcbgrg%;uruk 2oéfœ tgeb"bgrķ# gnķ vorfbfr/

  g, 1-$ @@ e, I-+ @@

*, N @@ ;, # @@

Śomfb 6.)/. @bfp @bcp‖bgrķj ncērubum tgebcbgrķ/

;omfb :/6C‖ng 4 éoœft @@‖o gft nuruk ioéfœ tgebcbgrķ iðr,bkomtonfr/ #gebcbgrng 2(t) vo 2(t0)cbgrgm iðstorfboj mcbcjbgr sķrgsķ!bg kovhut nuruku vo fstojfboj nuruk (scjrgmf nuruk)noēfœfmbfēfjf iðstorfr/ Kovhut nurukngj scjrgmf nurukg ioéfœ sķrgsķjng nðrt grmbķ ioéfœtoj

 efrf cbuœgefbfr/ Nðrt grmbķ ioéfœ fœbokf féfj iorombf ifrfœ noēorborfjf iðstoroj efbifbor nurukioéfœ tgebcsujngj gbķjgefbfr/

Nuruk ioéfœ sķrgsķjng ifrfœ noēorborfjfj ðjokbf cbkgnķēķ nurukbgr %`grm otkobfm# cbgrgmfgno onfbfr vo .Y‖ vo!g .n‖ fbo iðstorfbfr/ .Y‖ fbo fgno onfboj efbifjfj .‖ vo!g .3‖ cbkgsķjng

 efr grmbķbķm !cmtur/

;omfb :/6J‖no vorfboj ncērubum tgebcbgrķjngj g!ngbgjgrgm 1$ I+ N vo # tfpf @@‖boro gftnuruk ioéfœ tgebcbgrķjķj cbuœturubkgsķjķ géķmbg!gbķk5

1$ @@‖borno kovhut vo !ojf nurukuj g!jķ cbkgsķ fstojf!crsg 1$ @@ ncērubum tgebcsujngj1L$L3 ifrfœ noēorborfjo sg>fp cbkgsķ ioromtfēf eubujur (;omfb :/6C/g)/ 8ujujbg eorgeor $L3cbkgsķ éķmķœķj .3‖ cbkgsķ féfj !otorbf cbnuēujngj 3‖ngj 3‖g nuruk noēfœfmbfēfjno 1‖jfjgbghgēķ noēorfj ðjokf !cmtur/ 8u jonojbo ioéfœ tgebcsujg $L3 1LY noēorborf !g?ķbgefbfr/Nuruk ioéfœ tgebcsujngj @@‖fj .3‖ ngj .‖ nurukujg ioékosf fstojf!crsg $L vo 1L3noēorborfjfj g!jķ œomfbno ‖noj 3‖ g ioéfœ fstojf!crsg $L3 vo 1L noēorborfjfj u!iubgjkgsķioromtfēf eubujgefbfr/ .‖ mcjukujngmf éķmķœķj nurukuju .‖ cbgrgm mcrukgsķ féfj 1L3noēorf u!iubgjķrmoj $‖!o u!iubgjghgm efbifjfj ðjokf !cmtur/

=*

5 &=tN7,

3 3 2(t)

3 3

3 8 Q

O &=tN7,

3 3 2(t)

3 3

3 2(t)

8 &=tN7,

3 3

 

4 &=tN7,

3 2(t)

2(t)

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Kubtfvfergtðr vo @bfp @bcp‖bgr 

  g, 1$ @@ e, I+ @@

  *, N @@ ;, # @@

Śomfb 6.)<.  @bfp- @bcp‖bgrķj nuruk ioéfœ tgebcbgrķ/

I+ @@‖borno kovhut vo !ojf nurukuj .3‖ cbkgsķ nurukujng IL3 +LY u!iubgjkgbķnķr(;omfb :/6C/e)/ %!jķ œomfbno éķmķœ .‖ nurukujng fmoj mcjukujuj novgk otkosf fstojf!crsgifrfœborno +L3 ILY noēorborf eubujkgbķnķr/ @@ éķmķœķjķj 3‖ngj ‖o noēfœkosf fstojf!crsgIL noēorfjfj u!iubgjkgsķ !otorbfnfr vo +‖!g u!iubgjghgm noēorfj ðjokf !cmtur/ "ķmķœmcjukujuj ‖noj 3‖g ioékosf fstojf!crsg +L u!iubgjkgsķ éķmķœķj .3‖ noēorfjf gbkgsķ féfj!otorbf cbnuēujngj I ifrfœfjfj noēorf ðjoksf?nfr/

N tfpf @@ ioéfœ tgebcsujngj (;omfb :/6C/h) @@‖jfj scjrgmf nurukujuj >or ?gkgj N ifrfœfjooœft cbnuēu sð!bo!oefbfrf?/ Bgjf kovhut nurukuj efr otmfsf !cmtur/ 2 (t0) noēorfjfj jo cbkgsķfstojf!crsg N‖!o g!jķ efbifjfj u!iubgjkgsķ !otorbfnfr/

# tfpf @@‖!o gft nuruk ioéfœ tgebcsujngj (;omfb :/6C/n) #L nurukujng @@‖jfj nuruknoēfœtfrnfēfjf #L3 cbnuēujng fso @@‖jfj éķmķœķjķj efr ðjhomf nurukuju mcrunuēuju

 eubgefbfrf?/ 8u jonojbo # tfpf @@‖jfj éķmķœķjķj efr ðjhomf nurukuju mcrukgsķ fstojf!crsg#L3 nurukuju noēfœtfrkosf fstojf!crsg #L !gpķbkgbķnķr/

Nuruk ioéfœ tgebcbgrķ sg!ķhķ tgsgrķkķjng ðjokbf efr !oro sg>fp cbnuēujngj sg!ķhķbgrmcjusujng sķmég mubbgjķbghgmtķr/

-6

&=t, &=tN7, 5  

3 3 3 Y3 3

3 3 Y 3

&=t, &=tN7, O  

3 3 3 Y3 Y

3 Y Y 3

&=t, &=tN7, 8

3 3 33

3 3

&=t, &=tN7, 4

3 3 33

3 3

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Kubtfvfergtðr vo @bfp @bcp‖bgr  

<. @bf!@b" Ifrfœ @"jmsf3"jbgrķ

8fr @@‖jfj ifrfœ cjmsf!cju nojnfēfjno @@ novrosfjfj ifrfœ mgtķjng eubujgj efrboœfmnovroborho ,rotfbfp @@ ifrfœborfjo u!iubgjgj vo @@‖jfj fstojoj !ojf nurukbgrg ubgœkgsķjķ

sgēbg!gj bc<fm mgpķ novroborf gjbgœķbķr/ @@‖borfj ifrfœ cjmsf!cjbgrķjķ fgno onoj nojmbokbor>ok >grfhf ifrfœborfj >ok no œfknfmf (kovhut) nurukbgrķj cjmsf!cju cbgrgm !g?ķbķr/ @@novrosfjfj ifrfœ noēfœmojborf fmf >grbf efr sfkio fbo iðstorfbfr vo efrfjhf >gr ifrfœfj gnķjķfmfjhf >gr fso @@‖jfj gnķjķ sfkiobor/ Hrjoēfj efr novrono eubujgj I-+ @@‖boro gft ifrfœbor IΗ I8 IW vo + % + 8 + W sfkioborf fbo eobfrtfbfr/ %!jķ nuruk nfēor @@ éoœftborf féfj no ioéorbfnfr/

;omfb :/6\‖nomf novrono eubujgj @@ ifrfœ cjmsf!cjbgrķjķj

I%L%W vo + %L 8EN

cbnuēu eubujgefbfr/

Śomfb 6.).  I%  vo + %  ifrfœ cjmsf!cjbgrķjķj cbuœturubkgsķ/

I8L%EWE 0 %NE vo + 8 L WNE oœftbfmborfjfj @@ ifrfœborfjou!iubgjkgsķ fbo ;omfb \/6*‖nomf novro cbuœur/

Śomfb 6.)H.  @@ ifrfœ cjmsf!cjbgrķjķj cbuœturubkgsķ/

43

 

I% 

hbm G 

+ % 

%

%

hbm

%W

N

8

I% L %PW

+ % L 8‖PN

I8  2

hbmE 

+ 8  2 

%W%N

W

8

8

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Kubtfvfergtðr vo @bfp @bcp‖bgr 

Hrjom cbgrgm ;omfb :/6:‖ngmf novrono eubujgj @@ ifrfœ cjmsf!cjbgrķjķ obo gbgbķk5

I%L8WEP08EWPE vo + %L80!

nojmbokborfjno I%  vo + % fmf 8ccbogj oœftbfēfjf iðstorfrbor/

8u oœftbfmbornomf I vo + >grborf @@‖jfj ifrfœborfjf .%‖ fso @@‖jfj gnķjķ iðstorfr/Nojmbokbornomf fgnobor 8ccbogj cjmsf!cjbgrķ cbnuēujngj efrboœfm novro cbgrgm mgpķnovroborf fbo ioréomboœtfrfboefbfr/ &oréomboœtfrfboj novro .%‖ éķmķœķjg sg>fp efr @@‖jfj I-+ifrfœborfjo u!iubgjķrsg ;omfb :/6:‖ngmf novro obno onfbfr/ @cjmsf!cjbgrngj cbuœturubgj

 efrboœfm novrobor @@‖jfj fbifbf ifrfœborfjo u!iubgjķr/

Śomfb 6.)6.  I%  vo + %  ifrfœ cjmsf!cjbgrķjķj u!iubgjkgsķ

@@ ifrfœ cjmsf!cjbgrķ sķrgbķ (grnķœķb) efr novrojfj bc<fm novrosfjfj tgjķkbgjgefbkosf féfju!iuj efr hoefrsob oœftbfm sgēbgr/ 8u oœftbfm @@‖!f égbķœtķrgj novro!f tgk cbgrgm tgjķkbgr/ 8g?ķnurukbgrng grnķœķb efr novro!f kgjtķm novrosf éf?orom eobfrtkom !orfjo @@‖borfj ifrfœcjmsf!cjbgrķ fbo eobfrtkom ng>g mcbg!nķr/ 8u nuruk grnķœķb novrobor mcjusujngmubbgjķbghgmtķr/

4omrgrbgkg vo $gbķœkg 5"rubgrķ

7

E

-

D W

M W

 .

 . / 

E

H / 

E / 

H / 

:BE 

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Kubtfvfergtðr vo @bfp @bcp‖bgr  

7. Kubtfvfergtðr, tgjķkbg!ķjķ?/

). Kubtfvfergtðr éoœftborfjf !g?grgm >orefr éoœft kubtfvfergtðr, tgjķkbg!ķjķ?/

-. "ft mgrgrbķ kubtfvfergtðr géķm œokgsķjķ éf?orom novrojfj égbķœkgsķjķ ð?otbo!fjf?/

. @bfp-@bcp‖u tgjķkbg!ķjķ?/

/. @@ éoœftborfjf !g?ķjķ?/

<. .Ggth>‖ jo nokomtfrQ

. 1$ @@ fbo totfmbokobf 1$ @@ grgsķjngmf grmķ tgjķkbg!ķjķ?/

H. .9FNFMOG‖ vo .9F 7 9FB%NFMOG‖ mgpķbgrķ fbo cbuœturubgj totfmbokobf 1$ @@œomfbborfjf éf?fjf?/

6. #otfmbokobf 1$ @@‖jfj mgrgmtorfstfm nojmbokfjf ncērubum tgebcsu vo +grjgui>!grnķkķ!bg !g?ķjķ?/

7. I+ @@‖jfj bc<fm œokgsķjķ éf?orom novrojfj égbķœkgsķjķ gjbgtķjķ?/77. I+ @@‖jfj mgrgmtorfstfm nojmbokfjf !g?ķjķ?

7). N vo # tfpf @@‖boro gft ncērubum tgebcbgrķjķ éf?orom iojob ð?obbfmborfjf !crukbg!ķjķ?/

7-. N vo # tfpf @@‖boro gft mgrgmtorfstfm nojmbokborf cbuœturuju?/

7. %jg-A!nu @@‖jfj égbķœkgsķjķ œomfbbo ð?otbo!fjf?/

7/. %jg u!nu @@ mgrgmtorfstfm nojmbokfjf !g?ķjķ?/

7<. #otfmboko sfj!gbfjf tgjķkbg!ķjķ?/

7.  oigtf vo pc?ftf mojgr totfmbokosf torfkborfjf géķmbg!ķjķ?/

7H. .8cujhfji‖ cbg!ķjķ géķmbg!ķjķ?/76. 8cujhfji cbg!ķjķ ðjbo!ohom novro!f éf?orom fœbovfjf ð?otbo!fjf?/

). @@‖borno mubbgjķbgj gsojmrcj ifrfœborfj fsfkborfjf vo fœbovborfjf !g?ķjķ?/

)7. %sojmrcj ifrfœboro sg>fp I+ @@‖no gsojmrcj ifrfœborfj otmfsfjf ð?otbo!fjf?/

)). @@‖borno ,rotfhfborfj eobfrbonfēf pgrgkotroborf sķrgbg!ķjķ?/

)-. @@‖borno !g!ķbķk iohfmkosf vo kgmsfkuk totfmboko romgjsķ torfkborfjf géķmbg!ķjķ?/

). @@‖borno gsojmrcj ifrfœ sfj!gb iojfœbfēf pgrgkotrosf jo gjbgkg iobkomtonfrQ

)/. @@ mgrgmtorfstfm tgebcbgrķjķ ð?otbo!fjf?/

)<. @@ ioéfœ tgebcbgrķjķ éf?orom >orefr @@‖!o gft ioéfœ tgebcsuju !crukbg!ķjķ?/

46

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Kubtfvfergtðr vo @bfp @bcp‖bgr 

). @@ mgrgmtorfstfm tgebcsu fbo ioéfœ tgebcbgrķ grgsķjngmf grm jonfrQ

)H. @@ ioéfœ tgebcbgrķjķj oj !g!iķj mubbgjķk !orf jorosfnfrQ

)6. @@‖borno .grmotko?bfm‖ nuruku >gjif œgrtbgrng mubbgjķbķrQ

-. I+ @@‖!o gft mgrgmtorfstfm tgebcngj g!ngbgjgrgm ioéfœ tgebcsu cbuœturubkgsķ fœbokfjfð?otbo!fjf?/

-7. # tfpf @@‖!o gft ioéfœ tgebcsuju cbuœturuju?/

-). .@@ ifrfœ cjmsf!cju‖ torfkfjf géķmbg!ķjķ?/

--. @@ ifrfœ cjmsf!cju nojmbokborf jgsķb cbuœturuburQ

-. @@ ifrfœborfjo gft ifrfœ cjmsf!cju jgsķb iðstorfbfrQ

-/. I% L Y%E8 0 YE%8 0 Y%8 vo + % L YE%E8 0 YE%8E 0 Y%E8E ifrfœ cjmsf!cjbgrķjg sg>fpgrnķœķb novrojfj œokgsķjķ éf?fjf?/

-

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Kubtfvfergtðr vo @bfp @bcp‖bgr  

44

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Xojmrcj Xķrgbķ / GrnķœķbKgjtķm Novroborf

(Xyjharcjcus Xoquojtfgb Bcifh)

EÐBÒK

7<

Gkgébgr

 

Grnķœķb novroborfj tgjķtķbkgsķ vo fjhobojkosf

 

Grnķœķb novrborfj gjgbfz yðjtokborfjfj fjhobojkosf

 

Nuruk ioéfœ œokgsķ, nuruk ioéfœ tgb!su vo nuruk noj"bokf yðjtokborfjfj géķ"bgjkgsķ

 

Grnķœķb novro tgsgrķk gœgkgbgrķjķj ð#rotfbkosf

  Ðrjo" grnķœķb novroborfj tgsgrķkbgrķjķj yg$ķbkgsķ

Egœbķ"bgr

Grnķœķb Novroborfj Gjgbfzf

• Nuruk %oéfœ &okgsķ 'ðjtokf

• Nuruk %oéfœ (gb!bgrķ

• Nuruk Noj"bokborf

Grnķœķb Novro (gsgrķkķ

• Nuruk )gnoboœtfrko *Nuruk +jnfrioko

• Nuruk (g-sfsf *Nuruk Gtgjkgsķ

• Grnķœķb Novro (gsgrķk Gœgkgbgrķ vo (gsgrķk Ðrjo"borf

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xojmrcj Xķrgbķ / Grnķœķb Novrobor >0

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Xojmrcj Xķrgbķ / Grnķœķb Novrobor 

%frfœ

Bcdfm mgpķ obokgjbgrķjngj cbuœgj vo Eðbòk 1‖no notgybgjnķrķbgj novrobor .fboœf"novrobor/  cbgrgm f!fkbojnfrfbfr" #orf $o!boko vo %gkgjbgkg &f$f cbgybgrķj cbkgnķ'ķ $unovroborno $obbf $fr gjng &frfœo &oboj $fb&fbor $obbf $fr gkg( nc'rubtu!ujng fœboknoj&o(tfmtoj !cjrg (ķmķœg gmtgrķbķr )*omfb +,"+"g-" Novrono $obbom cbkgkg!ķ jonojfybo ng.gðjomf &frfœ / novro œgrtbgrķjngj otmfbojko nfyo $fr œoy !ð% mcju!u no'fbnfr"

Efboœfm novroboro &orf $o!boko vo %gkgjbgkg &f$f cb&ubgrķj ombojko!fybo cbuœgj novroboro.sķrgbķ voyg grnķœķb b!f" novrobor/ nojfr )*omfb +,"+"g-" Grnķœķb novroborno !ķm(g mubbgjķbgj

 $obbom obokgjbgrķ $fboœfm novroboro $fr &orf $o!boko )<oon$gm- ycbu !g'bgyggm œomfbno $g'bgjķr )*omfb +,"+"$-" 

Efb&f !gmbgkg yotojo'fjo !g.fp obokgjbgr cbgj $obbomborno !gmbgjgj fmfbf $fb&fbor !ķrgbķnovrojfj nurukuju tgjķkbgr" 7grff &frfœbornoj fmfbf $fb&fbor gbgj grnķœķb novro .grf(tojgbnķ'ķ fmfbf $fb&f fbo $obbom obokgjbgrķjķj kovut nurukbgrķjķ $frboœtfrorom (ķmķœtg cbuœggmfmfbf no'orf $obfrbor"

g Efboœfm novro $bcm œokg!ķ" Grnķœķb novro $bcm œokg!ķ"

&o"fb 7<7 Efboœfm vo Grnķœķb novro $bcm œokgbgrķ"

Efboœfm novrojfj &or(omboœtfrnf'f fœbok !cjuujng $obbom obokgjbgrķjķj nurukujngno'fœfmbfm ygpkg mcœubu ng $obfrbojfr" *omfb +,"5‖nomf $bcm œokgngj &ðròbnò'ò &f$f .grff&frfœbor vo $obbom obokgjķjngmf $fb&fborfj no'orbojnfrfbko!f !cjuu no'fœfm (ķmķœbgr obnoonfbfr" 8bno onfboj (ķmķœbgrngj $fr mķ!kķ $obbom obokgjbgrķjng !gmbgjggm yojf fmfbf no'orftok!fb onorbor" Eu fœbokbornoj (ķmgrķbgj !cju( grnķœķb novrojfj .grff (ķmķœbgrķjķj .grff&frfœbor fbo $obbom obokgjbgrķjng !gmbgjgj $fb&fjfj $fr <cjm!fycju cbnu'unur"

Grnķœķb )!ķrgbķ- novrobor !fjygbborfj %gkgjbgkg!ķjg $g'bķ cbgrgm fmf &ruptg tcpbgjg$fbfr?Xojmrcj )oœ %gkgjbķ- vo g!ojmrcj )oœ %gkgjbķ cbkgygj- grnķœķb novrobor"

>

#frfœbor  Efboœfm novro

#frfœbor  9ķmķœbgr Efboœfm novro

Eobbom obokgjbgrķ

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xojmrcj Xķrgbķ / Grnķœķb Novrobor 

&o"fb 7<5  Grnķœķb novroborno ðjomf nurukbgrķj no'orbojnfrfbko!f"

Xojmrcj grnķœķb novroborno $obbom obokgjbgrķjķ !gnoo $obfrbf %gkgj nfbfkborfjno otmfboyoj!fjygbbor mubbgjķbķr" Xfjygbbor cbuœturuburmoj !ķjķrbķ !òrobf ngr$obor mubbgjķbķr" Eu œomfbno

ngr$oborfj mubbgjķbnķ'ķ $fr !f!tokno %crbum <grmbķ mgyjgmbgrngj gyjķ mgpķjķj &frfœborfjoubgœgj fmf $fb&fjfj )!fjygbfj- ðjonoj tg.kfj onfbkoyoj &ofmkobor &ð!torko!f vo $fb&fborfj

 $fr$frfjnoj $fr kfmtgr ng cb!g gyrķbkg!ķnķr"

Xojmrcj !ķrgbķ novroborno !ojmrcj (gbķœkg porfycnfm totfmboko !fjygbborf )bcm pub!o!- nf%f!fòrotoj gjg !fjygb òrotof )kg!tor bcm &ojorgtcr- fbo !g'bgjķr"

Eobbom obokgjbgrķjķj &frfœfjno totfmboko !fjygbborf mubbgjgj !ojmrcj !ķrgbķ novrobor.totf"bokobf *sggtbf sķrgbķ novrobor/ )bcmon !o6uojtfgb bc&f- cbgrgm gnbgjnķrķbķr"4grgr!ķ%bķm prc$bokfjfj cbuœkgnķ'ķ $u novroborno $obbom obokgjķ cbgrgm =bfp=bcp novroborfmubbgjķbķr"

G!ojmrcj )oœ %gkgjbķ cbkgygj- !ķrgbķ novroborno (ķmķœķj no'fœko!f &frfœ !fjygbborfjfj $fr

voyg ng.g <g%bg!ķjķj no'fœko!fjo $g'ķkbķnķr" #frfœ vo $ujg $g'bķ cbgrgm (ķmķœ nuruku.or.gj&f $fr gjng otmfbojo$fbfr )no'fœo$fbfr-"

G!ojmrcj !ķrgbķ novroborno ygy&ķj cbgrgm mubbgjķbgj $obbom obokgjbgrķ %gkgj &ofmkobfobokgjbgrnķr" 2gkgj &ofmkobf $fr obokgjķj $obbom yotojo'f !fjygbfj obokgj f(fjnoygyķbkg!ķjķj $obbf $fr %gkgj gbkg!ķ cb&u!ujngj mgyjgmbgjkgmtgnķr" ;rgtfmto kgjtķmmgpķbgrķjng koyngjg &oboj &ofmko f.tfyg( nuyubgj &ofmkoyf !g'bgygrgm <f%fm!ob &ofmkoòjftoborfjo cbgj f.tfygķ crtgngj mgbnķrķr"

4gpķbgrbg cbuœturubgj g!ojmrcj novrobor &orf $o!bokobf $fboœfm novro cbgrgm no'orbojnfrfbo$fbfrvo $u œomfbnomf novroborno &orf $o!boko jonojf fbo novrojfj mgrgrbķ (gbķœkg nuruku

 $c%ubg$fbfr"

>1

Efboœfm novro (ķmķœbgrķEobbom (ķmķœbgrķ

Efboœfm novrobcdfm mgpķbgrķ

Eobbom obokgjbgrķ

7grff &frfœbor 

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Xojmrcj Xķrgbķ / Grnķœķb Novrobor 

7 Grnķœķb Novroborfj Gjgbfzf

Grnķœķb novro $fboœfkfjno oj g% $fr == $ubujnurgj $ujuj ðto!fjno &frfœ(ķmķœ nurukuju $obfrboyoj $fboœfm novrobor )bcdfm mgpķbgr- f(oroj nò%ojombornfr" Grnķœķb novroborfj ngvrgjķœķ

&frfœborfjo (ķmķœbgrķjg vo kovut nuruk fbo gbg$fboomborf &oboom nurukbgrg &ðro $obfrbojfr"Grnķœķb $fr novrojfj gjgbf%f &frfœborfj (ķmķœbgrķj vo fœ !ķrg!ķ tg$bc!u voyg œokg!ķjķj obnoonfbko!f œombfjno &or(omboœtfrfbfr"

Grnķœķb novroborfj ngvrgjķœķjķ tgjķkbgygj $ccbogj f<gnoborf yg%ķbg$fbfr" Gjgm $u f<gnoborfjnc'rungj voyg ncbgybķ cbgrgm &orombf %gkgj !ķrg!ķjķ f(orko!f &oromfr" Grnķœķb novroyf gjgbf%otkom f(fj totfmbokobf grnķœķb novroyo $fr ðrjom vororom grnķœķb novroborfj ngvrgjķœbgrķjķg(ķmbgygj (oœftbf yðjtokborf fjoboyobfk"

*omfb +,":‖to &ojob $fr grnķœķb novro ðrjo'f &ðròbkomtonfr" Novro $fr 3L3 &frfœ no'fœmojf fbo Gvo E cbgrgm f!fkbojnfrfboj fmf gnot totfmbokobf X ==‖yo !g.fptfr" G ==‖!fjfj X G  vo  G&frfœborf + vo 5 fbo !fk&obojoj $fboœfm novrobor tgrg<ķjngj !g'bgjķr" E ==‖!fjfj XE  vo  E&frfœborf f!o :  vo >  $fboœfm novroborf tgrg<ķjngj òrotfbfr" Novrojfj fjobojko!fjf

mcbgybgœtķrkgm gkgķybg ==‖borfj (ķmķœbgrķjngj mgpķ &frfœborfjo cbgj $g'bgjtķbgr&ð!torfbkokfœ $ujuj yorfjo $g'bgjtķbgr &frfœborfjo mcjgj .gr< !ok$cbborfybo $obfrtfbkfœtfr"Novrono mubbgjķbgj ==‖bor totfmbokobf cbnumbgrķjngj &frfœborfj otmf!f totfmboko pgb!borf!ķrg!ķjng gb&ķbgjķr vo ==‖borfj &o(fœ ð%obbfmborfjo &ðro G)tH+- G3)t H+- E)tH+- E3)tH+-&oboom nurukbgrķ òrotfbfr"

&o"fb 7<8  Grnķœķb novro ðrjo'f"

>

 

H7 

H5 

H8 

H> 

)G W 

G

> G 

W  G

@@

G

W  E

W  E@@

GE?

09 

GE? 

'

0B1

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xojmrcj Xķrgbķ / Grnķœķb Novrobor 

Eu œomfbno &ojob ð%obbfmborf tgjķkbgjgj $fr grnķœķb novrojfj gjgbf%f ò( no'fœfm yðjtokboygpķbg$fbfr?

O Nuruk #o(fœ *okg!ķ @ðjtokf

OO Nuruk #o(fœ Ig$bc!u @ðjtokfOOO Nuruk Nojmbokborf @ðjtokf

Eu yðjtokborf !ķrg!ķ fbo g(ķmbgygbķk"

77 Nuruk %oéfœ &okgsķ 'ðjtokf

Nuruk &o(fœ œokg!ķ yðjtokf grnķœķb novrojfj !ð%ob gjbgtķkķjķ oj fyf ygj!ķtgj kovutnuruk&oboom nuruk fbfœmf!fjf &ðr!ob $f(fkno !or&fboyoj $fr yðjtoknfr" Eu yðjtoknonovrojfj .or nuruku $fr ngfroybo nurukbgr grg!ķjngmf &o(fœbor f!o ngfroborf $fr$frfjo

 $g'bgygj yðjbò cmbgr fbo &ð!torfbfr" 7or ngfrojfj f(fjnomf fmfbf !gyķ ngfrojfj tok!fb ottf'fnuruku tgjķkbgr" #o(fœborf &ð!toroj cmbgr ò%orfjo f!o !ð% mcju!u nuruk &o(fœfjfj .gj&f

&frnfborbo &or(omboœtf'f vo (ķmtķjķj jo cbnu'u yg%ķbķr" Eu &ð!torfk f(fj mo!ko fœgrotf )/-mubbgjķbķr vo $u mo!ko fœgrotfjfj !cbujg &frnfbor !g'ķjg f!o (ķmtķbgr yg%ķbķr" Efr nurukno'fœfmbf'f !ð% mcju!u no'fb f!o nuruk &o(fœ cmu $gœbgnķ'ķ jcmtgyg nðjor )*omfb +,">-"

g Grnķœķb tcpbgyķķ $bcm œokg!ķ"

" ,,/+ ,,/, ++/+,+/+ 64<  647  +,/,+,/+ ,+/,

 Grnķœķb tcpbgyķķ nuruk &o(fœ œokg!ķ"

&o"fb 7<= Grnķœķb tcpbgyķķ $bcm œokg!ķ vo nuruk &o(fœ œokg!ķ"

A,

E6

2

6

GrnķœķbIcpbgyķķ

G E ; 2G E ; 2

++/,

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Xojmrcj Xķrgbķ / Grnķœķb Novrobor 

Ðrjo" 7? Igk tcpbgyķķ fœbokfjf grnķœķb novro fbo &or(omboœtfrkono cbuœgj cbgybgrķfjoboyobfk"

 Efr tcpbgyķķ novro!fjno obno torfkf F8‖ &frfœ no'fœmojborf f!o FG‖ vo FE‖ !ok$cbborfybo

&ð!torfbo$fbfr" Xð%&obfkf 8D, fmoj &frfœ no'orborf GD+ ED+ cbnu'ujng 8D+ nurukujg &o(orvo tcpbgyķķjķj (ķmķœķ F,‖ cbur" 8D+ nurukujng fmoj GD, ED, nķœķjngmf &frfœ no'orborfjnonovrojfj nurukujng $fr no'fœfmbfm cbkg% )*omfb +,">-"

4o!ko F/‖ fœgrotfjfj !cbujngmf no'orbor FG‖ vo FE‖ &frfœborfjf !g'ķjngmf torfk f!o FM‖(ķmķœķjķj nurukuju f<gno onor" Ngfro f(orf!fjnomf F8‖ no'orf fbo &frfœ no'orborfjfj tcpbgkķjķnovrojfj gbgg'ķ mcjuku )M- vo 8‖jfj yojf no'orfjf $obfrbor" rjo'fj 8D, fmoj &frfœborfjF,+‖ cbkg!ķ nurukujng 8D, mcjukuju mcrurmoj MD+ no'orfjf gbķr" Eu nurukng &o(fœ cmu

 $gœbgnķ'ķ ngfroyo &orf nðjor" 8D+ fmoj &frfœboro F,‖ uy&ubgjkg!ķ nurukujng MD+ no'orfjfgbķrmoj F8‖ nuruk no'fœtfrorom F,‖ no'orfjf gbķr" #o(fœ cmu 8D, cbgj nf'or ngfroyo nc'runo'fœfkf &ð!torfr"

Ðrjo" 5: ;grgbķ mutu mcbg kgmfjo!f?

No'fœfm yorborno mgrœķbgœtķ'ķkķ% pgrgbķ mcbg !gtķķ kgmfjojfj nuruk &o(fœ œokg!ķjķ (f%obfk"Kgmfjojfj &frnfborfjfj 5A A, +,, vo 5A, $frfkbfm kgnojf pgrgbgr cbnu'uju vgr!gygbķk"9ķmķœķjng f!o mutu mcbg nòœ!òj vo &oro'fjno pgrgjķj ò%orfjf vor!fj" 4cbgjķj +A, $frfkno'orfjno cbnu'uju vgr!gygrgm kgmfjojfj gbgg'ķ nurukbgrķ $cœ mg!gng 5A vgr mg!gngA, vgr mg!gng A vgr mg!gng +,, vgr vo mg!gng +5A vgr nfyo !ķrgbgyg$fbfrf%" Eu no'orborfmg!gjķj gbgg'ķ nurukbgr mg$ub onorom ngfrobor f(orf!fjno &ð!toro$fbfrf%"

&o"fb 7<9 4utu mcbg kgmfjg!ķ f(fj nuruk &o(fœ œokg!ķ"

A+

 

A,/,,

5A,/++,,

5A/,,

+,,/+5A

5A/,,

A,/,,

59

<

759

9<

7<<

39

A,/+,

A,/,,

+,,/+A,

5A/,,

+,,/,,

A,/,,

+,,/,,A,/,,

5A/,,

5A/,,

J/+C

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xojmrcj Xķrgbķ / Grnķœķb Novrobor 

Kgmfjo Fmg!gng +5A $frfk vgr‖ nurukujg &obnfmtoj !cjrg .gj&f pgrg gtķbķr!g gtķb!ķj $fr mcbgmutu!u nòœkomto pgrgjķj ò!tò &orf vorfbfp kgmfjo $cœ nurukujg nðjkomtonfr" 4g!gngcbg$fboom pgrgbgrķ nurukbgr cbgrgm to!pft ottfmtoj !cjrg gtķbg$fboom pgrg $frfkborfjf F/‖fœgrotfjfj !cbujng &ð!torfp F/‖ fœgrotfjfj !g'ķjng f!o mcbgjķj nòœòp )+- nòœkonf'f ),- vo

gyrķg mgbgj pgrg kfmtgrķ &ð!torfbfr!o *omfb +,"A‖nomf nuruk œokg!ķ obno onfbfr"Eu ðrjomto !ð%ob gjbgtķkng &o(fœ œokg!ķjķ (ķmgrnķm" Bcdfm œokg!ķ (f%fboj grnķœķb novrono&o(fœ œokg!ķ cbuœturubg$fbfr" Euju ng $fr ðrjombo g(ķmbgygbķk"

Ðrjo" 8: *omfb +,"0‖ng vorfboj kgjtķm novro!f grnķœķb $fr <cjm!fycju &or(omboœtfrkomtonfr"Novrojfj &frfœf FL‖ (ķmķœķ Fy‖ nurukbgr f!o FG‖ vo FE‖ (f<tfnfr" Eu novrojfj nuruk œokg!ķjķcbuœturgbķk"

Novrojfj fjobojko!fjo $fr $gœbgj&ķ( nurukujngj ðrjo'fj GED,, nurukujngj $gœbgjķr"JD+ cbnu'ujng == &frfœborf

XG D JL"ED,  G D J"EL D + XE D J"GL D + vo  E D JL"G D ,

no'orfjf gbķr" Eu &frfœ no'orborfjo !g.fp ==‖borfj $fr !cjrgmf nuruku GED,+ cbgrgm $obfrbojfr"Eu gjng novrojfj (ķmķœķ y4?GEL4, cbur"

Novrojfj fjobojko!fjnoj novrojfj gbg$fboo'f nurukbgrķ tok!fb onoj GE no'fœmojborfjfj,, ,+ +, vo ++ mck$fjg!ycjbgrķjķ gbg$fboo'f $ubujur" Eu mck$fjg!ycjbgr novrojfjnurukbgrķ cbgrgm gbķjķp novronomf nuruk no'fœmojborf fjobojfr!o *omfb +,"‖nomf nuruk&o(fœ œokg!ķ obno onfbfr"

Novrojfj (gbķœkg!ķjķ ycrukbgkgyg ygrnķkķ cbgj nuruk œokg!ķjķ $u œomfbno obno otkommgrkgœķm $fr yðjtoknfr" Eu jonojbo $fr novrojfj nuruk œokg!ķ ng.g !cjrg gjbgtķbggmnuruk tg$bc!ujngj nc'rungj (f%fbo$fbfr"

&o"fb 7< Grnķœķb novro bcdfm œokg!ķ"

A5

@ D J"G"E3

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Xojmrcj Xķrgbķ / Grnķœķb Novrobor 

&o"fb 7<3 Grnķœķb novrojfj nuruk œokg!ķjķj (f%fbko!f"

75 Nuruk %oéfœ (gb!bgrķ

Nuruk &o(fœ tg$bc!u grnķœķb $fr novrono kovut nuruk vo &frfœ(ķmķœ no'fœmojborf grg!ķjngmffbfœmfborf !or&fboyoj $fr tg$bcnur" Eu tg$bc .g%ķrbgjķrmoj novrojfj nuruk no'fœmojborf !gyķ!ķfbo &frnfborfj !gyķ!ķ &ð% ðjòjo gbķjķr" Eu nurukng tg$bcng <bfp<bcpbgrķj totfmboko pgb!ķjngjðjomf nurukuju $obfrtoj Fkovut nuruk‖ totfmboko pgb!ķ uy&ubgjnķmtgj !cjrgmf nurukuf<gno onoj F!cjrgmf nuruk‖ vo F(ķmķœ‖ cbkgm ò%oro ò( mķ!ķk $ubujur" 7ok !cjrgmf nuruk.ok no (ķmķœ $ðbòkborf JD, vo JD+ f(fj cbkgm ò%oro 5 !òtujngj cbuœur"

Ig$bc cbuœtururmoj nuruk no'fœmojborf !gyķ!ķ fbo &frnf !gyķ!ķ &ð% ðjòjo gbķjķr" Eujg &ðronovrono Fk‖ tgjo == vgr!g Fk‖ tgjo nuruk no'fœmojf tgjķkbgjķr vo novrono 5 k tgjo no'fœfmnuruk !ð% mcju!u cbur" Gyrķg novrojfj Fj‖ tgjo &frfœf vgr!g 5 j tgjo <grmbķ &frfœ no'orborf

 $frboœfkf !ð% mcju!u cbur"

Ig$bc cbuœturuburmoj ðjo no'fœmoj $fboœfkborfjf f(oroj $fr !òtuj .g%ķrbgjķr" Ng.g !cjrgnuruk tg$bc!ujuj cbuœturubkg!ķjg vgr!gyķbgj $fr fbm no'orbo $gœbgjķr" Gjgbf% .or jo mgngrmoy<f $fr nurukbg $gœbgyg$fbfr!o no *omfb +,"0‖ngmf novroyf fjobokoyo F,,‖ nuruku fbo

 $gœbgygg'ķ%"

Kovut nuruk F,,‖ fmoj GD, vo ED, cbur" Eu gjng .or fmf == ro!ot mcjukujng vo JD,‖nķr"Eu no'orborfj uy&ubgjnķ'ķ *omfb +,"0‖ngmf F\8‖ mgpķbgrķjngj .f( $frf!f kgjtķm 3+3 !fjygbfòrotko% vo ncbgyķ!ķybg !cjrgmf nuruk no'fœkonoj mgbķr" Eu nurukng GED,, vo JD, fmojtotfmboko !fjygbfjnoj !cjrgmf nuruk F,,‖ cbgrgm $obfrbojfr"

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xojmrcj Xķrgbķ / Grnķœķb Novrobor 

GED,, fmoj JD+ cbujg +" mgpķ E ==‖!fjfj X &frfœfjo F+‖ !fjygbf òrotfrmoj >" 4gpķ G==‖!fjfj &frfœfjo F+‖ !fjygbf òrotfr" Iotfmboko !fjygbf ==‖borf totfmboyfjo G ==‖!f (ķmķœķ F,‖vo E ==‖!f (ķmķœķ F+‖ cbur" Eu $fb&fbor tg$bcyg tgœķjķr!g !cjrgmf nuruk GED,+ cbgrgm cbuœur"

Gyjķ œomfbno nf'or ò( cbg!ķ kovut nurukngj $gœbgygrgm !cjrgmf nuruk obno onfbo$fbfr" 8bnoonfboj no'orbor &frfœborfj kovut nurukuj vo mubbgjķbgj == tòròjòj $fr <cjm!fycjunur)*omfb +,"1-"

K60H( NH>HK)O>G1+ NH>HK?4< ?47

@I1I&?4< ?47

GE GE GE ' ',, ,, ,+ , ,,+ ++ ,+ , ,+, +, ,, , +++ +, ++ , ,

&o"fb 7<A  *omfb +,"0‖ngmf novrojfj nuruk &o(fœ tg$bc!u"

Bcdfm novronoj (ķmķœ $ðbòkòjòj no'orborfjf $ubkgm ng.g mcbgynķr" rjom novrono ygbjķ%gJD+ GD+ vo ED, fmoj Fy‖ (ķmķœķ +‖o oœfttfr" Eu jonojbo kovut nurukD+, vo JD+nurukujng yD+ $u nuruk nķœķjngmf $òtòj nurukbgrng (ķmķœ !òtujbgrķ 3,3 cbgrgm yg%ķbķr"

Grnķœķm $fr novrojfj .grff (ķmķœbgrķ kgjtķm obokgjbgrķjngj vo == (ķmķœbgrķjngj gbķjg$fbfr"Kgjtķm mgpķbgrķjngj (ķmķœ gbķjkg!ķ .gbfjno nuruk tg$bc!ujng (ķmķœ $ðbòkò &orombfnfr"9ķmķœ cbgrgm ygbjķ%g == (ķmķœbgrķ !ð% mcju!u f!o ==‖borfj (ķmķœbgrķ kovut nuruk!òtujujng %gtoj vorfbnf'fjnoj nuruk tg$bc!ujuj (ķmķœ $ðbòkò fptgb onfbo$fbfr"

78 Nuruk Noj"bokborf

Nuruk nojmbokborf <bfp<bcp‖bgrķj nuruk &o(fœ œgrtbgrķjķ tgjķkbgygj kgtokgtfm!ob $frf<gnonfr" Nojmbokfj !cb tgrg<ķ ==‖jfj !cjrgmf nurukuju $fr $ccbogj <cjm!fycju cbgj !g'tgrg< f!o !cjrgmf nuruku +‖o oœftboyoj kovut nuruk œgrtbgrķjķ tgjķkbgr" Xcjrgmf nurukœgrtbgrķjķj .grff &frfœ no'fœmojborf vo == no'orborfybo tgjķkbgkg!ķ nķœķjng nuruk nojmbokfœomboj == mgrgmtorf!tfm nojmbokfjo $oj%or"

Nuruk nojmbokf nc'rungj nc'ruyg nuruk tg$bc!ujngj obno onfbfr" rjo'fj G ==‖!fjo gftnuruk nojmbokf *omfb +,"1‖noj obno onfbo$fbfr"

A>

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Xojmrcj Xķrgbķ / Grnķœķb Novrobor 

Xcjrgmf nuruk !òtujbgrķjngj G ==‖!fjfj F+‖ nurukujg nðrt mo% &o(tf'fjf &ðròrò%" Eunurukbgr JD, fmoj GED ,+ +, ++ nurukbgrķ fbo JD+ fmoj GED++ cbnu'u $fboœojbornfr"Gjbgtķbgjbgr $fr nuruk nojmbokfjno kgtokgtfm!ob cbgrgm

G)tH+-D)G3EHGE3HGE-J3 H GEJ<crkòbò fbo f<gno onfbo$fbfr" Nojmbokfj !cb tgrg<ķ ==‖jfj .gr< !ok$cbòjò vo ==‖jfj $fr!cjrgmf gbgg'ķ no'orf f<gno onoj %gkgj <cjm!fycj !ok$cbòjò f(orfr WG)tH+-U"

Gyjķ œomfbno E ==‖!fjfj nðrt moro F+‖ no'orfjo !g.fp cbnu'u nuruk tg$bc!ujng&ðròbkomtonfr" Eu nurukng tg$bcngj <gyngbgjgrgm E ==‖!f f(fj

E)tH+-DG3EJ3H)G3E3HG3EHGE-J

nojmbokf yg%ķbg$fbfr"

Nuruk nojmbokborfjfj !g' tgrg<ķ kovut nuruk f(fj $fr $ccbogj <cjm!fycjunur" Eu<cjm!fycj +‖o oœft cbujg $fr !cjrgmf totfmboko pgb!ķ fbo G ==‖!fjfj !cjrgmf nuruku F+‖ cbur"

=cjm!fycjuj F,‖ cbkg!ķ f!o !cjrgmf nuruku F,‖g oœftbor"

&o"fb 7<F  == nuruk nojmbokborfjfj 4grjgu&. .grftg!ķ ygrnķkķybg !gnoboœtfrfbko!f"

G vo E ==‖borfjfj nuruk nojmbokborf *omfb +,"‖ngmf 4grjgu&. .grftgbgrķ fbo!gnoboœtfrfbo$fbfr" @umgrķng $ubujgj nuruk nojmbokborf 4grjgu&. .grftgbgrķjg tgœķjķr vo4grjgu&. ygrnķkķybg !gnoboœtfrko ygpķbķr!g !gnoboœtfrko !cjuujng

 G)tH+-DGL3HEL3 HGE vo E)tH+-DG3EHG3LHEL

nojmbokborf $ubujur"

AA

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xojmrcj Xķrgbķ / Grnķœķb Novrobor 

5 Grnķœķb Novro (gsgrķkķ

Grnķœķb $fr novrojfj (ð%òkbojko!f bcdfm novronoj ycbg (ķmgrgm nuruk &o(fœ œokg!ķ vonuruk &o(fœ tg$bc!ujuj cbuœturubkg!ķ $ðyboo novrojfj &frfœ (ķmķœ fbfœmf!fjfj !gptgjkg!ķ

fbo !cju(bgjgj $fr fœboknfr" Eu fœbok *omfb +,"++‖nomf $bcm œokgng ð%otbojkomtonfr"Grnķœķb novrojfj tg!grķkķ f!o cbuœturubkg!ķ f!tojoj novrojfj !ð%òm cbgrgm f<gnoonfbko!fjnoj $gœbgyķp novro (ð%òkboko fœbokfjfj gœgkgbgrķjķj tor! !ķrgng uy&ubgjgrgmbcdfm novrojfj (f%fbko!f fbo !cju(bgjgj $fr fœbokbor nf%f!fnfr )*omfb +,"+5-"

&o"fb 7<77  Grnķœķb novro (ð%òkboko fœbokfjfj gœgkgbgrķ"

&o"fb 7<75  Grnķœķb novro tg!grķk gœgkgbgrķ"

7or tg!grķk fœbokfjno cbnu'u &f$f tg!grbgjgj novrojfj oj nòœòm kgbfyot fbo&or(omboœtfrfbko!fjf !g'bgkgm gkgķybg novrojfj oj g% !gyķng obokgj fbo &or(omboœtfrfbko!f&oromfr" Novro (f%fkf gœgkg!ķjngj ðjo grnķœķb $fr novrojfj kgbfyotfjf bcdfm mgpķbgrķj vo==‖borfj $obfrbonf'f &ð% ðjòjno $ubujnurubgrgm novro oj $g!ft œombfjo &otfrfbfr" Novrojfj

 $g!ftboœtfrfbko!fjo yðjobfm $u fœboko .nuruk sgnoboœtfrko/ nojfr" Grnķœķb novro tg!grķkķjngtgmfp onfboom gœgkgbgrng $ubujgj vo ng.g ðjo g(ķmbgjkgygj mcjubgrngj $frf!f cbgj novro!gnoboœtfrko!f )nuruk fjnfr&ojko!f- fœbokfjf fjobonfmtoj !cjrg tg!grķk gœgkgbgrķjķðrjomborbo g(ķmbgygbķk"

A0

 Bcdfm 

  Novro

 == &frfœ

<cjm!fycju

 Nuruk

Nojmbokf

Nuruk#o(fœ

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Nuruk#o(fœ

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  ==#frfœ

  =cjm!fycju

 Bcdfm 

  Novro

 Xð%ob

Gjbgtķk

 Nuruk  #o(fœIg$bc!u

Nuruk#o(fœ

*okg!ķ voIg$bc!u

NurukXgnoboœtfrko

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Ig$bc!u

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Xojmrcj Xķrgbķ / Grnķœķb Novrobor 

57 Nuruk )gnoboœtfrko *Nuruk +jnfrioko

7or tg!grķk !òrofjno bcdfm novrojfj kgbfyotfjfj oj g%g fjnfrfbko!f .ono<bojfr" Kgbfyotfnòœòrkojfj oj mķ!g ycbu mubbgjķbgj obokgjbgrķj )== vo mgpķ novroborf- !gyķ!ķjķ g%gbtggm

fœbokborfj ygpķbkg!ķnķr" Grnķœķb $fr novrono mubbgjķbgj obokgj !gyķ!ķjķ g%gbtkgm gkgķybgygpķbgj fœbok Fnuruk  fjnfrioko/ voyg Fnuruk sgnoboœtfrko‖ cbgrgm gnbgjnķrķbķr" Nurukfjnfr&oko!f &frfœ(ķmķœ fbfœmf!fjf yorfjo &otfroom novrobor grg!ķjngj oj g% ncjgjķkg&orom!fjfk nuygjķ $ubkgmtķr" Nf'or $fr noyfœbo .grff &frfœ(ķmķœ &orom!fjfkborfjf gyjojmcruygrgm nuruk !gyķ!ķjķ g%gbtkg fœbokfnfr" Nuruk fjnfr&oko!fjfj mubbgjķbgj == !gyķ!ķjķg%gbtķrmoj &orombf bcdfm mgpķ !gyķ!ķjķj grtkg!ķjg jonoj cbg$fboo'fjf ujutkgkgm &oromfr"

^jnfr&oko fœbokfjf g(ķmbgkgngj ðjo $obfrtfbko!f &oromoj ðjokbf $fr jcmtg fjnfr&okofœbokfjfj ygbjķ%g &frfœ vo (ķmķœ nojmbokborf voyg no'orborf fbo fb&fbojfbko!f nurukujngmubbgjķbg$fboo'fnfr" Kovut nurukbgrķj nc'rungj (ķmtķ cbgrgm mubbgjķbnķ'ķ novroborno)ðrjo'fj !gyķķbgr- ygng cbuœturubgj grg nurukbgrķj fœbovfjfj cbnu'u !f!tokborno nurukfjnfr&oko!f ygpķbgkg%"

Nuruk fjnfr&oko!f fœbokf Fyuvgyg nðjojro!ot‖ vo Fyuvgyg nðjkoyojjcjro!ot‖ novroborf(fj <grmbķ œomfbborno &or(omboœtfrfbfr"

Grnķœķb $fr novro $obfrbf fœbokbor !cjuujng $obfrbf $fr nurukg ygjf $fr yuvg nurukujgnðjòycr!g Fyuvgyg nðjoj novro/ cbgrgm jftobojnfrfbfr" @uvgyg nðjoj novroborno nurukfjnfr&oko!f oœno'or nurukbgrķ mgyjgœtķrķbkg!ķ fbo &or(omboœtfrfbfr" ^mf kovut nurukujoœno'or !gyķbg$fbko!f f(fj &oboom nurukbgrķjķj vo òrottfmborf (ķmtķbgrķj gyjķ cbkg!ķ &oromfr"4gyjgœtķrķbggm nurukbgr nuruk tg$bc!ujngj ygrgrbgjķbgrgm $obfrbojfr"

Ðrjo" =? *omfb +,"+:"g‖ng nuruk &o(fœ tg$bc!u vorfboj grnķœķb novrojfj nuruk !gyķ!ķjķfjnfr&oyobfk"

Eu ðrjomto Fyuvg‖ F8‖ nurukunur" Ig$bcjuj fjobojko!fjnoj FG‖ vo FN‖ nurukbgrķjķj

gyjķ &oboom vo gyjķ (ķmtķ no'orborfjo !g.fp ygjf oœno'or cbnumbgrķ &ðròbòr" Ncbgyķ!ķybg $u fmfnuruk GDN ð%noœbf'f fbo $frboœtfrfbfr!o FN‖ nuruku !fbfjfr vo FN‖ &ðròboj yoro FG‖ yg%ķbķr!g*omfb +,"+:"$‖nomf yojf tg$bc obno onfbfr" Xcju( cbgrgm $oœ cbgj nuruk !gyķ!ķ nðrno vo novrof(fj &orombf == !gyķ!ķ ò(toj fmfyo fjnfr&ojkfœ cbur"

Nuruk œokg!ķ vorfboj $fr novrono nuruk fjnfr&oko fœbokf ygpķbkg!ķ &oromtf'fjno nurukœokg!ķjngj nuruk tg$bc!ujuj cbuœturubkg!ķ &oromfr" *omfb +,"+>‖no ygbjķ%g &frfœ (ķmķœ!ķrg!ķ ðjokbf cbgj f( nurukbgrķj ygbjķ%g &orombf !ķrgyķ !g'bgkgm f(fj mubbgjķbnķ'ķ $frnovrojfj nuruk œokg!ķ &ðròbkomtonfr" Eu jonojbo ngfroborfj f(orf!fjnomf fœgrotbf nurukbgrfmfbf no'orborf yorfjo .gr< !ok$cbborf fbo &ð!torfbkfœtfr"

Nuruk œokg!ķjng ngfrobor f(orf!fjnomf .gr<borf kovut nuruk mg$ub onorom &oboom nurukvo (ķmķœbgrķ obno ono$fbfrf%"

A

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Xojmrcj Xķrgbķ / Grnķœķb Novrobor 

Novro fbm $gœbgj&ķ( Fg‖ nurukujng fmoj F,‖ &frfœf F,‖ (ķmķœ òrotfr vo novro Fg‖ mcjukujngmgbķr" Kovut nuruk Fg‖ fmoj &frfœfj F+‖ cbkg!ķ F,‖ (ķmķœ vo !cjrgmf nuruk cbgrgm F$‖mcjukuju vorfr"

Kovut nuruk F$‖ fmoj &frfœ F,‖ cbujg (ķmķœ F,‖ vo !cjrgmf nuruk F‖ cbur" Nurukbgrķfjoboko fœbokfjo novgk onfbko!fybo *omfb +,"+A"g‖ngmf tg$bc cbuœur"

*g *

&o"fb 7<78 Nuruk tg$bc!u vorfboj $fr novrojfj nuruk !gyķ!ķjķj g%gbtķbkg!ķ"

8bno onfboj nuruk &o(fœ tg$bc!ujng FN‖ fbo F=‖ vo F8‖ fbo F#‖ nurukbgrķjķj oœno'or cbnu'u&ðròbòr" 8œno'or cbgj (f<tbornoj F=‖ vo F#‖ nurukbgrķ !fbfjfr vo &oboom nuruk !òtujujng F=‖&ðròjoj yoro FN‖ F#‖ &ðròboj yoro F8‖ yg%ķbķr!g *omfb +,"+A"$‖ nomf tg$bc obno onfbfr"

^jobojoj ðrjomto grnķœķb novrojfj nuruk !gyķ!ķ ‖noj A‖o fjnfrfbkfœ gjgm &orombf ==!gyķ!ķjng $fr g%gbkg cbkgkķœtķr"

&o"fb 7<7= rjom nuruk œokg!ķ"

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Xojmrcj Xķrgbķ / Grnķœķb Novrobor 

9òjmò 3k3 !gyķng == fbo :k !gyķng <grmbķ nuruk tok!fb onfbo$fbfr" Eu jonojbo : == fbo 5:D1<grmbķ nuruk tok!fb onfbo$fb!o no A <grmbķ nurukng gjgm : gnot == fbo cbuœturubg$fbfr"Eujujbg $org$or *omfb +,"+A"g‖ngmf nurukbu tg$bc mubbgjķbkg!ķ fbo mubbgjķbkgygj $frnuruk mgbķrmoj A nurukbu tg$bc mubbgjķbkg!ķ .gbfjno mubbgjķbkgygj ò( nuruk mgbķr"

4ubbgjķbkgygj nurukbgr novro tg!grķkķ !ķrg!ķjng <grmotko% nurukbgrķ )ncj‖t gro- f<gnoonor" =grmotko% nurukbgrķ &ojobbfmbo ng.g $g!ft $fr Eccbogj <cjm!fycju cbuœturnu'u f(fjA mcjukbu novro mcjukbu novroyo &ðro ng.g g% bcdfm mgpķ &oromtfro$fbfr"

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, +

*g *

&o"fb 7<79 Nuruk œokg!ķjngj nuruk tg$bc!ujuj obno onfbko!f vo tg$bcjuj fjnfr&ojko!f"

Ðrjo" 9: Mgr!bg )oéfhf:

Efr .g$orboœko !f!tokfjno $fb&fbor ò(orbf $ft ð$omborf $f(fkfjno fbotfbkomtonfr" Euð$ombornoj F,++‖ mck$fjg!ycju gjg.tgr $fboœmo )pgrcbg- cbgrgm mg$ub onfbkomto vo $uno'orboro !g.fp ð$o'fj vgrbķ'ķ !o(fbnf'fjno (ķmtķ F+‖ cbup $fr gbgrk novro!fjf (gbķœtķrkgmtg

nf'or $òtòj mck$fjg!ycjbgr f(fj (ķmtķ F,‖ cbkgmtgnķr" 9ķmķœķj F,‖ cbnu'u nurukbgrng $gœbgj&ķ( nurukujg nðjòbkomtonfr" Eu fœbokborf &or(omboœtfroom grnķœķm novroyftg!grbgygbķk"

@gpķbgj g(ķmbgkgbgrķ ro<orgj! gbgj !f!tokfj nuruk &o(fœ œokg!ķ vo nuruk &o(fœ tg$bc!u*omfb +,"+0‖ngmf &f$f (f%fbo$fbfr" Gyrķg nuruk &o(fœ tg$bc!ujng .or $fr ò(orbf &rupcbuœurmoj kgmfjojfj $obbo'fjno $frfmkfœ $ubujgj $fb&fbor no yg%ķbg$fbfr"

Grnķœķb nuruk tg$bc!ujng F;,‖ nurukujuj yuvg nuruku cbnu'u mcbgyg gjbgœķbg$fbfr" Nuruk&o(fœ tg$bc!ujngj ;: ;A vo ;0  nurukbgrķjķj .ok JD, .ok no JD+ &frnfborf f(fj gyjķ(ķmtķyg vo &oboom nurukg !g.fp cbnumbgrķ &ðròbkomtonfr" Eu nurukbgr ; :  nuruku gbtķjngtcpbgjķr!g *omfb +,"+‖nomf fjnfr&ojkfœ nuruk tg$bc!u obno onfbfr" ^mf tg$bcjujmgrœķbgœtķrķbkg!ķjngj nuruk !gyķ!ķjķj g%gbtķbkg!ķjg mgrœķbķm &orombf == !gyķ!ķjng $fr g%gbkg

cbkgnķ'ķ &ðròbòr"

A

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xojmrcj Xķrgbķ / Grnķœķb Novrobor 

  *g

&fknf"fnuruk

%oboho" nuruk?4< ?47

@ķ"tķ?4< ?47

;,

;+

;5

;:

;>

;A

;0

;+

;:

;A

;,

;,

;,

;,

;5

;>

;0

;,

;,

;,

;,

,,,,,,,

,,,,+,,

  *

&o"fb 7<7 ;grcbg !o(ff nuruk &o(fœ œokg!ķ vo nuruk &o(fœ tg$bc!u"

&fknf"fnuruk

%oboho" nuruk?4< ?47

@ķ"tķ?4< ?47

;,

;+

;5

;:

;>

;+

;:

;:

;,

;,

;5

;>

;:

;,

;,

,,,,,

,,,,+

&o"fb 7<73" ;grcbg !o(ff fjnfr&ojkfœ nuruk tg$bc!u"

0,

+/,

,

,, ,+ +, ++

+ +/,

+/,,/,

+/,,/,+/+,/,+/,,/,

  ,/, +/,

 ,/,

  ,/,

,,, ,,+  ,+, ,++ +,, +,+++, +++

;,

;+

;5

;: ;

> ;A

;0

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Xojmrcj Xķrgbķ / Grnķœķb Novrobor 

55 Nuruk (g-sfsf *Nuruk Gtgjkgsķ

Grnķœķb $fr novrojfj $fboœfm novro mķ!kķjķj kgbfyotf $fboœfm novroborfj !gnoboœtfrfbko!f f(fjmubbgjķbgj !gnoboœtfrko yðjtokborf fbo g%gbtg$fbfr" Gjgm $fboœfm novrojfj !gnoboœtfrfbko!f

!ķrg!ķjng $gœbgj&ķ(tgmf .gr< !fk&oborfybo &ð!torfbkfœ cbgj nurukbgrg $fror fmfbf no'or gtgkgfœbokf ygjf nuruk gtgkg!ķ nojoj $gœmg $fr <gmtðr crtgyg (ķmgr" Eu <gmtðr ð%obbfmbo grnķœķbnovro nķœ &frfœ(ķmķœ u(bgrķ g(ķ!ķjngj no'orbojnfrfbnf'f %gkgj <gyngbķnķr" _y!g !gyķķ vo%gkgjbgyķķ &f$f novroborno orfœfboj nuruk gyjķ gjng novrojfj (ķmtķ!ķjķ cbuœturnu'ujngjnuruk gtgkg!ķ mcju!ujng .f($fr o!jombfm cbgkg% vo nurukuj fmfbf no'orf (ķmtķjķj no'orfjooœfttfr"

Kovut $fr(cm nuruk tg.!f!f yðjtokf $ubujkgmtgnķr )Grk!trcj!7ujgp.roy v$"-" Gjgm $uyðjtokbor f(orf!fjnoj kfjfkuk kgbfyotbf $fr $fboœfm novro &grgjtf onoom $fr nuruk tg.!f!f)gtgkg!ķ- yðjtokf $obfrbojokokfœtfr" Eu yðjtokbor gjg.tgrbgkg vo nuruk kgmfjgbgrķ tocrf!ffbo fb&fbf mgyjgmbgrng $ubujg$fbfr" Ef% $urgng grnķœķb novrojfj tg!grķk gœgkgbgrķjķ ðrjomborbofjoboyobfk"

58 Grnķœķb Novro (gsgrķk Gœgkgbgrķ vo (gsgrķk Ðrjo"borfGrnķœķb novrojfj tg!grķkķ novrojfj ð%obbfmborfjfj tgjķkbgkg!ķybg $gœbgr vo $fr kgjtķmœokg!ķybg voyg kgjtķm œokg!ķ obno otkom f(fj mubbgjķbg$fboom Eccbogj <cjm!fycjbgrķ fbonovgk onor" Nc'rubum tg$bc!uybg tgk cbgrgm tgjķkbgjg$fboj $fboœfm novroborfj tor!fjo !ķrgbķnovrobor ð%obbfm tgjķkķ f(fj $fr nuruk tg$bc!u &oromtfrfr" Eu jonojbo grnķœķb novroborfjtg!grķkķjng fbm gnķk nuruk tg$bc!u nuruk œokg!ķ voyg nuruk nojmbokborfjnoj $frf!fjfjcbuœturubkg!ķnķr )*omfb +,"+5-"

Nf'or ygjngj !ojmrcj grnķœķb $fr novro == vo bcdfm mgpķbgrngj cbuœur" Eu jonojbo tg!grķk!ķrg!ķjng mgpķbgrķj cbuœturnu'u $fboœfm novro vo ==‖borfj cbuœturnu'u grnķœķb novrojfj

 $frbfmto tg!grbgjkg!ķ &oromfr" Ig!grķk !ķrg!ķjng tgmfp onfboom gnķkbgr gœg'ķngmf &f$fð%otbojo$fbfr?

f Novro !ð%ob cbgrgm g(ķmbgjķr" Eu grgng novro œokg!ķ %gkgjbgkg œokg!ķ voyg nf'oruy&uj $fb&fbor g(ķmbgjg$fbfr" Eujbgrngj novrojfj nuruk &o(fœ œokg!ķ (f%fbo$fbfr"

ff Novro mcju!ujng vorfboj tòk $fb&fbor vo nuruk &o(fœ œokg!ķ no'orbojnfrfboromnuruk tg$bc!u cbuœturubur"

fff Nurukbgr !fk&oborbo )ðrjo'fj .gr<- f<gno onfborom nuruk fjnfr&oko yðjtokborfygrnķkķybg nuruk !gyķ!ķ g%gbtķbkgyg (gbķœķbķr"

fv 8bno onfboj nuruk tg$bc!ujuj .gr< f(orko!f .gbfjno .or $fr nurukg mgrœķbķm $fjgry no'or gtgjķr"

v 8bnomf nuruk !gyķ!ķjg $g'bķ cbgrgm &oromoj == !gyķ!ķ $obfrbojfr vo .or $fr ==‖yo

 $òyòm .gr< !ok$cb vorfbfr"

0+

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  Xojmrcj Xķrgbķ / Grnķœķb Novrobor 

vf 4ubbgjķbggm == tòrò )X P4 I N tòrborfjnoj $frf- !o(fbfr"

vff Nuruk &o(fœ œokg!ķjngj ycbg (ķmgrgm vo !o(fboj == tòròjòj ngvrgjķœķ &ð% ðjòjogbķjgrgm == nuruk nojmbokborf cbuœturubur"

vfff 4grjgu&. .grftg!ķ voyg <grmbķ $fr !gnoboœtfrko yðjtokf mubbgjķbgrgm !gnoboœtfrkoygpķbķr vo == &frfœ <cjm!fycjbgrķ obno onfbfr"

f Bcdfm novro (f%fbfr vo == $g'bgjtķbgrķ &ð!torfbfr"

Grnķœķb novro tg!grķkķjng torò$o mg%gjnķmtgj !cjrg tg!grķk f(fj !ķrgbgkg gœgkgbgrķg%gbtkgm vo tg!grķk fœbokfjf .ķ%bgjnķrkgm kòkmòjnòr" Gyrķg nuruk !gyķ!ķjķj vonurukbgrg gtgjgj fmfbf no'orborfj $fbfjko!f nurukujng : vo > jcbu $g!gkgmbgr gtbgjg$fbfr"

Ig!grķkng mubbgjķbggm == tòrò tg!grķk !ķrg!ķjng $obfrbojo$fboo'f &f$f tg!grķkķjķj pfyg!gngj tokfj ono$fbnf'f tòrboro no $g'bķ cbg$fbfr" Nfdftgb !f!tokborfj $fr(c'u kovutbgrgrg!ķjng oj mubbgjķœbķ == tòrò cbkg!ķ jonojfybo P4 ==‖bor fbo cbuœturubur" == tòrborfjfjtòkòjòj $ubujnu'u nurukbgrng vorf trgj!<orf &oromtfroj )mgykgbķ mgynonff &f$f-

uy&ubgkgbgrng X voyg N tfpf !gyķķ &f$f uy&ubgkgbgrng P4 voyg I tfpf &ojobuy&ubgkgbgrng f!o P4 tfpf ==‖bor torf. onfbfr"

Ðrjo" : *omfb +,"+1‖no $bcm œokg!ķ vo (gbķœkg prc&rgkķ vorfboj bcdfm novroyf X P4 N voI tfpf ==‖bor mubbgjgrgm gyrķgyrķ tg!grbgygbķk"

9gbķœkg prc&rgkķjng &ðròbnò'ò &f$f fbm totfmboko fœgrotf fbo M +D, M5D+ cbggm ygjf N+

!ðjòm N5 ygjķm cbggmtķr" Ng.g !cjrgmf totfmboko fœgrotborfjno !ķrg!ķybg

M+D, M5D, N+ vo N5 !ðjòm 

M+D+ M5D, ygjf N+ ygjķm N5 !ðjòm nurukbgrķ cbuœggmtķr"

M+D+ M5D+ N+ vo N5 ygjķm

&o"fb 7<7A  rjom bcdfm novro $bcm œokg!ķ vo (gbķœkg prc&rgkķ"

0b" 27 25

, , ++ , ,5 + ,: + +

05

  W7

Bcdfm Novro

W5

Hbm

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Xojmrcj Xķrgbķ / Grnķœķb Novrobor 

%otbojoj (ķmķœ nf%f!fjf &or(omboœtfroj novro fbm nurukujg nðjor vo fœbok tomrgr $gœbgr"G(ķmbgkgbgrngj gjbgœķbgg'ķ ò%oro novro (ķmķœbgrķjķj no'fœko !òro!fjf totfmboko fœgrotfjfj<romgj!ķ tgyfj onor" Iotfmboko fœgrotfjfj <romgj!ķjķj grtkg!ķ fbo B8N‖fj ygjķp !ðjko !òroborfg%gbķr"

f Ig!grķk !ķrg!ķjng ng.g ðjo vorfboj fœbok !ķrg!ķjngj $g%ķbgrķ f.kgb onfbo$fbfr" Eunurukng nuruk !gyķ!ķ > cbnu'ujngj mubbgjķbggm == !gyķ!ķ 5 cbgrgm to!pft onfbfr"

ff Xo(fboj == tfpf f(fj novro (ķmķœ tg$bc!u vo == &o(fœ tg$bc!ujngj <gyngbgjķbgrgm novronuruku &o(fœ tg$bc!u .g%ķrbgjķr )*omfb +,"+-"

fff 7or $fr &o(fœ tg$bc!u 4grjgu&. .grftg!ķjg uy&ubgjgrgm !gnoboœtfrfbkfœ bcdfm f<gnoobno onfbfr"

fv Eubujgj oœftbfmboro &ðro ==‖boro mgpķbgr ombojorom bcdfm novro (f%fbfr"

@ðzJk 7: ^bm cbgrgm X == fbo tg!grķk ygpķbgg'ķjg vo mubbgjķbggm == !gyķ!ķ 5 cbgg'ķjg&ðro novrojfj (ķmķœ nurukbgrķjķ &ð!toroj novro (ķmķœ tg$bc!u .g%ķrbgjķr )*omfb +,"+"g"-"

Ng.g !cjrg *omfb +,"+"$‖no vorfboj X == &o(fœ tg$bc!ujngj <gyngbgjķbgrgm M + f(fj X+  +vo M5 f(fj X5  5 &o(fœborf cbuœturubur )*omfb +,"+"-"

 

&o"fb 7<7F Grnķœķb novro tg!grķkķjng novro (ķmķœ tg$bc!u vo X == &o(fœ tg$bc!ujngj <gyngbgjķbgrgmnovro nuruk &o(fœ tg$bc!ujuj cbuœturubkg!ķ"

*omfb +,"+"‖nomf nuruk &o(fœ tg$bc!ujuj cbuœukujng mubbgjķbggm ==‖yo gft &o(fœtg$bc!ujngj <gyngbgjķbķr" M+ vo M5‖ jfj (ķmķœķ !ķrg!ķybg M+ (ķmķœķ f(fj ,,++, vo M5 (ķmķœķf(fj +,,++ œombfjnonfr " Eu no'fœfkboro &ðro X+ + vo X5 5 no'orborf yg%ķbķr"

M+ M5 X+ + X5 5  , +  , ,  + ,  + +  , +

Mt MtH+ X  , , , n, + + ,+ , , ++ + n ,

  ^bm nuruk↕

0:

M+ M5 X+  + X5  5, ↘ + ↘ , n , +

, ↘ , ↘ + , , n

+ ↘ , ↘ n , + ,

+ ↘ + ↘ , + n ,

, ↘ + ↘

 X == &o(fœ tg$bc!u"

h Novro nuruk &o(fœ tg$bc!u"

g Novro (ķmķœ tg$bc!u"

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xojmrcj Xķrgbķ / Grnķœķb Novrobor 

Eu no'orbor

M+ ,‖ngj ,‖g &o(ormoj X+D,  +Dn

  ,‖ngj +‖o &o(ormoj X+D+  +D,

  +‖noj +‖o &o(ormoj X+Dn  +D,

  +‖noj ,‖g &o(ormoj X+D,  +D+

œombfjnonfr"

  X+    +  X5   5  , + , + , + , +

X+DM53  +DM5   X5DM+    5DM+3

&o"fb 7<5< #o(fœ tg$bcbgrķjķj 4grjgu&. .grftgbgrķjg tgœķjkg!ķ vo oœftbfmborfj yg%ķbkg!ķ"

 

X7  W7 

HBM 

U7  W7 

X5  W5 

HBM 

U5  W5 

N5 N7 

Hbm 

&o"fb 7<57 *omfb +,"+1‖nomf fœbokf X ==‖borbo &or(omboœtfroom grnķœķb novrojfj bcdfm œokg!ķ"

M+ f(fj yg%ķbgj $u no'orbor &f$f M5 f(fj  5 vo X5 no'orborfjfj $ubujgrgm tg$bcyg yg%ķbkg!ķ fbo*omfb +,"+"‖nomf nuruk &o(fœ tg$bc!u obno onfbfr"

0>

  M+

M5

  ,

  +

  M+

M5

  ,

  +

 

M+ 

M5

  ,

  +

 

M+

M5

  ,

  +

  +   n

  , ,

  ,

  n

  ,

  +

 ,

 ,

  +

  n

  n

 +

  ,

  ,

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xojmrcj Xķrgbķ / Grnķœķb Novrobor 

&o"fb 7<58 *omfb +,"+1‖nomf grnķœķb novrojfj P4 ==‖borbo &or(omboœtfrfbko!f"

@ðzJk 8: ^!tojfboj novroyf N tfpf ==‖borbo &or(omboœtfrkom f(fj *omfb +,"5>"g‖ngmf N tfpf ==&o(fœ tg$bc!ujngj <gyngbgjķbgrgm *omfb +,"5>"$‖nomf ==‖boro gft &o(fœ tg$bc!u cbuœturubur"

#o(fœ tg$bcbgrķjķj 4grjgu&. .grftgbgrķjg tgœķjkg!ķ fbo &or(omboœtfrfbko!f &orombf<cjm!fycjbgr yg%ķbķr )*omfb +,"5>"-" @g%ķbgj <cjm!fycjbgrķ tok!fb onoj bcdfm novrojfj

(f%fbko!f fbo *omfb +,"5>"n‖nomf grnķœķb novro cbuœur"

&o"fb 7<5= *omfb +,"+1‖nomf novrojfj N ==‖borbo &or(omboœtfrfbko!f"

@ðzJk =: ^!tojfboj novroyf I tfpf ==‖borbo cbuœturkgm f(fj *omfb +,"5A"g‖ngmf I tfpf ==&o(fœ tg$bc!ujngj <gyngbgjķbgrgm *omfb +,"5A"$‖nomf I+  vo I5 ==‖borfjo gft &o(fœ tg$bcbgrķcbuœturubur"

00

Mj M)jH+- N , , , , + + + , , + + +

g N tfpf == &o(fœ tg$bc!u"

M+ M5 N+ N5

 , , , , , + + , + , + + + + , + , +

  ==‖bor f(fj &o(fœ tg$bc!u"

Egœbgj&ķ(nuruku

N+  M+

 M5  , +

 + +

 , ,  NDM53

,

+

h #o(fœ tg$bcbgrķjķj 4grjgu&. .grftgbgrķjg tgœķjkg!ķ"

N5  M+

 M5  , +

 , +

 , +  N5DM+

,

+N7

W

HBM

N5 W

W

N5N7

n Ig!grbgjgj novrojfj N tfpf ==‖ borbo &or(omboœtfrfbko!f"

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Xojmrcj Xķrgbķ / Grnķœķb Novrobor 

_buœturubgj I+  vo I5 no'orborfjfj 4grjgu&. .grftgbgrķjg tgœķjkg!ķ fbo &or(omboœtfrfboomnovroyf tok!fb onoj <cjm!fycjbgr yg%ķbķr )*omfb +,"5A"-" @g%ķbgj <cjm!fycjbgrķ&or(omboœtfroom novrojfj (f%fbko!fybo *omfb +,"5A"n‖nomf novro cbuœur"

&o"fb 7<59 *omfb +,"+1‖nomf novrojfj I tfpf ==‖borbo &or(omboœtfrfbko!f"

Ðrjo" A: *omfb +,"50"g‖ng nuruk œokg!ķ vorfboj totfmbokobf !ķrgbķ novroyf P4 ==‖borbocbuœturkgm f(fj &orombf tg!grķkķ ygpgbķk"

Nuruk &o(fœ œokg!ķ fmfbf no'orborf $obfrbojkfœ cbgj nðrt nurukngj cbuœur" _mbgr mo!ko )/-fœgrotf cbkgm!ķ%ķj tom $fr fmfbf rgmgkbg fœgrotbojnf'f f(fj $fr &frfœ no'fœmojfjo mgrœķbķm (ķmķœ

0

W5

^5 W5

HBM

 ^7 W7

HBM

W7B4 

N+ N5

n Ig!grbgjgj novrojfj I tfpf ==‖bor fbo cbuœturubkg!ķ"

MjM)jH+-I , ,, , ++ + , +

+ +,

g I tfpf == &o(fœ tg$bc!u"

M+M

5I

+I

5,+,+,,+,+

,,++++,,+

 Novro nuruk &o(fœ tg$bc!u"

h Nuruk &o(fœ tg$bc!ujuj 4grjgu&. .grftgbgrķjg tgœķjkg!ķ"

I+DM+3M53HM+M5DM+  M5

I5D M+3M5HM+M53DM+ H M5

I+ M+

M5  , +

  + ,

  , +

,

+

I5 M+

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  , +

  + ,

,

+

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xojmrcj Xķrgbķ / Grnķœķb Novrobor 

no'fœmojf cbkgnķ'ķ vo ==‖borfj nurukbgrķjķj novrojfj (ķmķœbgrķ cbgrgm no'orbojnfrfbo$fboo'fmg$ub onfbfr" Nðrt nuruku &ð!torkom f(fj f.tfyg( nuyubgj fmf == G vo E .gr<borfybo &frfœno'fœmojf f!o FJ‖ fbo &ð!torfbfr!o *omfb +,"50"$‖ nomf nuruk tg$bc!u obno onfbfr"

*omfb +,"50"$‖no cbuœturubgj nuruk tg$bc!ujng (ķmķœ $ðbòkò ycmtur" Kovut nuruk vo &frfœno'fœmojborfjf mubbgjgrgm nuruk tg$bc!ujuj nc'rubum tg$bc!u œombfjno nò%ojbojnf'f <crk*omfb +,"5‖no &ðròbkomtonfr" #orombf nuruk &o(fœborfjf !g'bgyggm cbgj == &frfœ mcœubbgrķ.or $fr kovut nuruk f(fj !cjrgmf nuruk vo &frfœ no'orborf *omfb +,"5‖noj gmtgrķbgrgmyg%ķbg$fbfr" @g%ķk !ķrg!ķjng mubbgjķbgj ==‖yo gft &o(fœ tg$bc!ujngj <gyngbgjķbķr )*omfb+,"50"-"

 

g Nuruk *okg!ķ"  Nuruk Ig$bc!u"

  h P4 == #o(fœ Ig$bc!u"

&o"fb 7<5 Nuruk œokg!ķ vorfboj $fr novrojfj nuruk tg$bc!ujuj cbuœturubkg!ķ"

4ubbgjķbgj ==‖bor G E &frfœbor f!o PG 4 G PE 4 E !ok$cbborfybo &ð!torfbfr vo tg!grbgjgjgrnķœķb novrono $ubujggm $fboœfm novro $bcm cbgrgm &ð!torfbfr!o *omfb +,"5‖nomf novrocbuœur" Efboœfm novroyo uy&ubgjgj &frfœbor .grff &frfœ vo ==‖borfj kovut nurukno'orborfnfr"

01

  Xcjrgmf NurukKovut Nuruk JD, JD+  G E G E G E  , , , , , +  , + + , , +

  + , + , + +  + + + + , ,

M)t- M)tH+- P 4   , , , n , + + n + , n + + + n ,

,

,

,,

,+

+,

++

+

+

,+ ,

+

Kovhut Nuruk %frfœ )!jrg"f Nuruk Dbf$Db!$ %frfœborf

G E G E CG  1 G  CE  1 E 

, , ,, , +

, + ,, + ++ , ,+ , ++ + ,+ + +

, ,,  +

+  ,,  ++  ,+ ++ +, ,

,,

+,NNNN

NN

NN,,,+

,+

NN,+NN

NN

+,NN,+

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Xojmrcj Xķrgbķ / Grnķœķb Novrobor 

&o"fb 7<53 *omfb +,"50‖ng vorfboj novrojfj &o(fœ tg$bc!u vo cbuœturubggm novrojfj $bcm œokg!ķ"

Ig!grbgjgj novro f(fj cbuœturgj &o(fœ tg$bc!ujng ==‖borfj &frfœborfjo uy&ubgjkg!ķ &orombfno'orbor $obfrbojnfmtoj !cjrg tg$bcngmf no'orbor 4grjgu&. .grftgbgrķjg tgœķjķr" 4grjgu&..grftgbgrķjng &rupbgjnķrkg ygpķbķr vo &rupbgrķ tok!fb onoj oœftbfmbor yg%ķbķr )*omfb +,"51-"@g%ķbgj oœftbfmbor (f%fboom novroyf tok!fb onor"

8bno onfboj <cjm!fycjbgrķj bcdfm mgpķbgr vo ==‖bor mubbgjķbgrgm (f%fbko!f fbo *omfb +,"5‖ngmfnovro cbuœur"

Ig!grķk !ķrg!ķjng bcdfm novro (f%ko gœgkg!ķjg mgngr &or(omboœtfrfboj gœgkgbgrngj $fr mķ!kķmgbnķrķbg$fbfr" rjo'fj 4grjgu&. .grftgbgrķ f(fj &orombf $fb&fbor nc'rungj nuruk tg$bc!ujngj

obno onfbo$fbfr" Eu nurukng fœbokbor mķ!gbķr"

 

0

  E

  E

  G

  G

Nķœ#frfœbor 

  E E G GL Efboœfm   Novro

PG  M

bm 

4 M

PE  M

bm 

4 E  M

bm 

G E

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xojmrcj Xķrgbķ / Grnķœķb Novrobor 

 

&o"fb 7<5A ^<gnoborfj 4grjgu&. .grftgbgrķjg tgœķjkg!ķ vo oœftbfmborfj yg%ķbkg!ķ"

&o"fb 7<5F Ig!grbgjgj novrojfj kgjtķm œokg!ķ"

Ðrjo" F: *omfb +,":,‖ng $bcm œokg!ķ vo (gbķœkg prc&rgkķ vorfboj novroyf P4 tfpf ==‖bormubbgjgrgm tg!grbgygbķk"

@ðzJk : Ig!grķkng > gnot P4 == mubbgjķbgg'ķjngj P4 ==‖yo gft &o(fœ tg$bc!u ygrnķkķybgP4 ==‖borfj &frfœborfjo gft &o(fœ no'orborf $ubujur )*omfb +,":+-"

 

,

PG

bm G

4 G

PE  

bm E

4 E

E

E

bm 

L L

0b" G E 0 N,+5:

>A01+,

++,+

,+++,,,

+,++

,,,,+,,

++,,

++,,,+,

+,+,

+++,,,+

  _buœturubggm novrojfj(gbķœkg prc&rgkķ"

  G

Bcdfm E

Novro

  N

bm 

4 E D G‵J‵ H GJ D G⊙J

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Xojmrcj Xķrgbķ / Grnķœķb Novrobor 

 

g Ebcm œokg!ķ"

&o"fb 7<8< Grnķœķb novro tg!grķkķ vo (gbķœkg tg$bc!u"

&o"fb 7<87 9gbķœkg prc&rgkķjg &ðro cbuœturubgj" ==‖boro gft &o(fœ tg$bcbgrķ"

#o(fœ tg$bc!ujngmf $fb&fborfj 4grjgu&. .grftgbgrķjg tgœķjkg!ķ &oromfr" Igœķjkg !ķrg!ķjngmubbgjķbkgygj mck$fjg!ycjbgr F<grmotko%‖ cbgrgm gbķjķr!g *omfb +,":5‖ngmf 4grjgu&..grftgbgrķ vo bcdfm <cjm!fycjbgrķ obno onfbfr" 4grjgu&. .grftgbgrķjng Fn‖ fbo &ð!torfboj vo==‖jfj ð%obbf'fjnoj ncbgyķ cbuœgj F<grmotko%‖ nuruku fbo mubbgjķbkgygjmck$fjg!ycjbgrngj ncbgyķ cbuœgj vo FL‖ fbo &ð!torfboj F<grmotko%‖ nuruku cbkgm ò%oro 5tòrbò <grmotko% $ubujkgmtgnķr" 7or fmf F<grmotko%‖ nuruku gyjķ (or(ovonono'orbojnfrfbo$fbfr"

+

M)t- M)tH+- P 4   , , , n , + + n + , n + + + n ,

h P4 == &o(fœ tg$bc!u"

0b",+5:>A01

+,fbm nuruk

G ++,+,+++,,,+

E+,++,,,,+,,+

0 ++,,++,,,+,+

N +,+,+++,,,++

CG

  nn+n+nnn,,+

1 G  ,

+n+n,,+nnn

CE

  n+nn,,,+n,+

1 E+n,+nnnn+nn

C0

  nn,+nn,,+n+

1 0  ,

+nn,+nnn+n

CN

  n+n+nnn,,+n

1 N  +

n+n,,+nnn,

,, ,+ ++ +, ,, ,+ ++ +, ,, ,+ ++ +, ,, ,+ ++ +,

,, n , n n ,, n n + + ,, L n n + ,, L + + n

,+ + + L n ,+ n n L , ,+ L n L , ,+ n , L n

  ++ + L n n ++ n L , , ++ , L n , ++ n L + n

  +, , n n n +, n L L + +, , L L + +, n L L n

CG4N 1 G4NL CE4GNL 1  E40\NL

,, ,+ ++ +, ,, ,+ ++ +, ,, ,+ ++ +, ,, ,+ ++ +,

,, n + + n ,, n n n n ,, n , + , ,, n n n n

,+ + , n , ,+ n n n n ,+ n n n n ,+ , + n +

  ++ n n n n ++ , n , + ++ n n n n ++ , n + ,

  +, n n n n +, + n n + +, + n n + +, n n n n

C04NL\GLEL 1  04NL\GEL CN4GE\0 1  N4E\G0L

CE  GE

  N1 E  GE

  N

CN  GE

  N1 N  GE

  N

1 0 GE

N

CG  GE

  N

C0  GE

  N

1 G GE

N

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xojmrcj Xķrgbķ / Grnķœķb Novrobor 

&o"fb 7<85 *omfb +,":,‖ng vorfboj novro f(fj obno onfboj &o(fœ nurukbgrķjķj 4grjgu&. .grftgbgrķjgtgœķjkg!ķ vo bcdfm oœftbfmborfj yg%ķbkg!ķ"

&o"fb 7<88 Ig!grbgjgj novrojfj bcdfm œokg!ķ"

8bno onfboj bcdfm oœftbfmborf &oromboœtfroom $fboœfm novro vo P4 ==‖bor $frbfmto (f%fbfr!of!tojfboj (gbķœkg prc&rgkķjķ &or(omboœtfrfboom grnķœķb novrojfj bcdfm œokg!ķ obno onfbfr )*omfb+,"::-"

==‖bor mubbgjķbgrgm &or(omboœtfrfboj vo grnķœķb novrobor cbgj !gyķķbgr mgynonffbor v$novroboro gft tg!grķk œomfbborf ng.g !cjrgmf $ðbòkborno notgybķ cbgrgm fjobojoomtfr"

(o"rgrbgkg vo @gbķœkg )!rubgrķ

7 FGrnķœķb novroyf‖ tgrf< onorom $fboœfm novro fbo <grmķjķ g(ķmbgyķjķ%"

5

 

N

N

G

G

N

G

G

P  M

bm 0 

4   M 

PE  M

bm E 

4 E  M 

PN  M

bm N 

4 N  M

PG  M

bm G 

4 G  M

E

NG

N

G

E

G

E

E

G

N+ 

E

E

N

N

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Xojmrcj Xķrgbķ / Grnķœķb Novrobor 

5 Grnķœķb novroborf uy&ubgjgj !fjygbborfj %gkgjbgkg!ķjg $g'bķ cbgrgm &rupbgjnķrķjķ%"

8 FIotfmbokobf grnķœķb novroborf‖ tgjķkbgyķjķ%"

= Xojmrcj vo g!ojmrcj grnķœķb novrobor grg!ķjngmf tokob <grmķ g(ķmbgyķjķ%"

9 Grnķœķb novrojfj ngvrgjķœķjķ otmfboyoj <gmtðrbor jobornfrC

Grnķœķb novro gjgbf% yðjtokborfjf !ķrgbgyķjķ%"

3 Nuruk &o(fœ œokg!ķ yðjtokfjf ð%otboyfjf%" 

A Igk tcpbgyķķ novro!fjfj nuruk &o(fœ œokg!ķjķ (ķmgrķjķ%"

F Nuruk tg$bc!u cbuœturkg fœbokfjf ð%otboyfjf%"

7< Grnķœķb tcpbgyķķng obno tg$bc!u f(fj nuruk &o(fœ œokg!ķjķ cbuœturuju%"

77 Grnķœķb tcpbgyķķ nuruk &o(fœ œokg!ķjngj <gyngbgjgrgm nuruk tg$bc!uju cbuœturuju%"

75 Grnķœķb tcpbgyķķ f(fj cbuœturubgj nuruk tg$bc!uju mubbgjgrgm nuruk nojmbokfjf

(ķmgrķjķ%" Eubnu'uju% nuruk nojmbokfjf 4grjgu&. .grftgbgrķ mubbgjgrgm !gnoboœtfrfjf%"78 Nuruk nojmbokfjno oœftbf'fj !g' vo !cb tgrg<bgrķjķj tgœķnķmbgrķ gjbgkbgrķ g(ķmbgyķjķ%"

7= F+,+‖ !gyķ ð$o'fjf Fpgrcbg‖ cbgrgm mg$ub onoj $fr !f!tokfj nuruk œokg!ķjķ vo nuruktg$bc!uju cbuœturgrgm !gnoboœtfrko fœbokfjf ygpķjķ%"

79 Grnķœķb novro (ð%òkboko fœbokf gœgkgbgrķjķ $bcm œokg mubbgjgrgm ð%otboyfjf%"

7 Grnķœķb novro tg!grķk gœgkgbgrķjķ kgnnobor .gbfjno !ķrgbgyķjķ%"

73 FNuruk fjnfr&oko‖ torfkfjf g(ķmbgyķjķ%"

7A Nuruk fjnfr&oko!f grnķœķb novroborfj .gj&f nurukbgrķ f(fj &o(orbfnfrC

7F Grnķœķb novroborno nuruk gtgkg!ķ fœbokfjf tgrtķœķjķ%"5< Xķrg!ķ fbo ,‖ngj +,‖g mgngr tom !gyķbgrķ (ķmķœ cbgrgm voroj grnķœķb novroyf P4 ==‖bor

mubbgjgrgm &or(omboœtfrfjf%"

57 Gœg'ķng vorfboj nuruk tg$bc!ujngmf nuruk !gyķ!ķjķ g%gbtķjķ%"

&fknf"fNuruk

%oboho" nuruk*)!jrg"f

?4< ?47

  @ķ"tķ

?4< ?47

:

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xojmrcj Xķrgbķ / Grnķœķb Novrobor 

  G  E    N

  8

  E   N  E   N G

  E

, ++ ,, ++ ,

, +

55 Gœg'ķng vorfboj nuruk tg$bc!ujngmf nuruk !gyķ!ķjķ g%gbtķjķ%"

&fknf"fNuruk

%oboho" nuruk*)!jrg"f

?4< ?47

@ķ"tķ

?4< ?47GEN8

=

G E NE G E

E

+ ,, +, ,+ +, ,

, ,58 Ebcm œokg!ķ vo (gbķœkg tg$bc!u vorfboj grnķœķb novroyf X ==‖bor mubbgjgrgm tg!grbgyķjķ%"

5= , grg!ķjngmf tom !gyķbgrķ (ķmķœ cbgrgm voroj grnķœķb novroyf P4 ==‖bor mubbgjgrgm

tg!grbgyķjķ%"

59 ,+A grg!ķjngmf (f<t !gyķbgrķ !ķrg!ķ fbo (ķmķœ cbgrgm voroj grnķœķb novroyf P4 ==‖bormubbgjgrgm tg!grbgyķjķ%"

>

0b" 27 25

, + ++ , ,5 , +: + ,

  W7

Bcdfm Novro

W5

Hbm

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Xgyķhķbgr(Hcujtors)

EÐBÒK

77

Gkgébgr

 

Xgyķhķbgrķj tgjķtķbkgsķ

 

Xgyķhķbgrķj sojmrcj vo gsojmrcj sgyķhķbgr œombfjno irupbgjnķrķbkgsķ

  Xojmrcj vo gsojmrcj sgyķhķbgrķjķj yumgrķ / fborf vo gœgēķ / iorf sgyķhķbgr œombfjno égbķœkg projsfefjfjgéķmbgjkgsķ

 

Gsojmrcj sgyķhķbgrng ncērungj vo ncbgybķ sķ`ķrbgkg yðjtokborfjfj ðērotfbkosf

 

@grmbķ sojmrcj sgyķhķ éoœftborfjfj tgsgrbgjkgsķ

 

Xgyķhķ ojtoiroborfjfj tgjķtķbkgsķ

 

@grmbķ sgyķhķ uyiubgkgbgrķjķj égbķœkg projsfpborfjfj géķmbgjkgsķ

Egœbķmbgr

  Gsojmrcj Xgyķhķbgr 

  Gsojmrcj Vumgrķ Xgyķhķbgr   Gsojmrcj Gœgēķ Xgyķhķbgr 

  Gsojmrcj Vumgrķ / Gœgēķ Xgyķhķbgr 

  Xojmrcj Xgyķhķbgr !œ"gkgjbķ #grgbob Xgyķhķbgr$

Xojmrcj Vumgrķ Xgyķhķbgr 

  Xojmrcj Gœgēķ Xgyķhķbgr 

  Xojmrcj Vumgrķ / Gœgēķ Xgyķhķbgr 

  Xgyķhķ !jtoiroborf

  %gsmgt &'( Xgyķhķbgr 

  )gbmg vo *c+jscj Xgyķhķbgr ,fji 'cujtor gjn *c+jscj 'cujtor$  Xgyķhķ -yiubgkgbgrķ

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķhķbgr 90

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Xgyķhķbgr   

Ifrfœ

.frfœ ngreoborfjo egēbķ cbgrgm eobfrbf efr nuruk nf"fsfjf tomrgrbgygj bcfm novrobor< ‑sgyķhķ‖cbgrgm gnbgjnķrķbķr7 5cm noēfœfm gbgjbgrng mubbgjķbgj sgyķhķ novroborf< @@8borfj uyiuj œomfbno

 egēbgjkgbgrķybg obno onfbfr7 (fftgb ðbé>< mukgjng vo mcjtrcb sfstokborfjfj oj ðjokbfobokgjbgrķ cbgj sgyķhķbgrķ< noēfœfm ro`orgjsbgrg iðro sķjķ`bgjnķrkgm vo gnbgjnķrkgmk>km>jn>r7 Xgyķhķbgr oj iojob œombf fbo gœgēķngmf ifef sķjķ`bgjnķrķbgefbfr7

  XGVFHFBGU 

 

?otfmboko fœgrotborfjfj Xgykg yðj>jo iðro Xgykg mcnbgjkgsķjg iðro  uyiubgjķœķjg iðro

  Gsojmrcj Xojmrcj Vumgrķ Gœgēķ Gœgēķ/Vumgrķ 0mfbf &'( 9cnXgyķhķ Xgyķhķ Xgyķhķ Xgyķhķ Xgyķhķ Xgyķhķ Xgyķhķ Xgyķhķ

G- Xgyķhķbgrķ !"!fmb"k" sfygbb"rff #y$#bgkg %gkgķg $&r"sķķ'bg(ķrķbkgsķ) 

?otfmboko sfjygbborfjfj @@8boro uyiubgjķœ "gkgjķjg iðro sgyķhķbgr fmf irueg gyrķbķr1

f6 Gsojmrcj `grmbķ "gkgjbķ$ sgyķhķbgr<

ff6 Xojmrcj oœ "gkgjbķ$ sgyķhķbgr7

Gsojmrcj sgyķhķbgrng< sgykg fœbokf féfj mubbgjķbgj totfmboko sfjygbf fbm @@8yo uyiubgjķr7 0bm@@8jfj 4 voyg 4ķ  éķmķœķjngj gbķjgj sfjygb fbo ng+g scjrg ioboj @@ totfmbojfr7 (fēor efrnoyfœbo= @@8bor efrefrfjf totfmborbor7

Xojmrcj sgyķhķbgrng< totfmboko sfjygbborf sgyķhķyķ cbuœturgj e>t>j @@8boro tom efr +gttgj gyjķgjng uyiubgjķr7 &u nurukng novrono eubujgj t>k @@8bor efrbfmto totfmbojfr7

99

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķhķbgr 

E- Xgyķhķbgrķ sgykg y&*" $&r" sķķ'bg(ķrķbkgsķ) 

Xgyķhķbgr sgykg yðj>jo iðro >é iruptg fjhobojoefbfr1

f6 Vumgrķ / 0borf sgyķhķbgr -p hcujtors$1 Xgyķhķ 28ngj egœbgyķp yumgrķ ncēru sgykg

fœbokf ioréomboœtfrfycrsg< ‑y#mgrķ sgyķhķ‖ nojfr7ff6 Gœgēķ / .orf sgyķhķbgr (c;j hcujtors$1 Xgyķhķ eobfrbf efr sgyķngj egœbgyķp 28g

ncēru sgykg fœbokf ygpķycrsg< ‑gœg+ķ sgyķhķ‖ cbgrgm gnbgjnķrķbķr7

fff6 Vumgrķ6Gœgēķ sgyķhķbgr -p6(c;j 'cujtors$1 Xgyķhķ +or fmf yðjno sgykg fœbokfjfioréomboœtfroefbfycrsg< ‑y#mgrķ-gœg+ķ sgyķhķ‖ cbgrgm fsfkbojnfrfbfr7

H- Xgyķhķbgrķ sgykg m,(bgkgsķg $&r" sķķ'bg(ķrķbkgsķ) 

Xgyķhķbgr< sgyķhķjķj tgmfp onohoēf sgykg nf"fsf ro`orgjs gbķjgrgm irupbgjnķrķbgefbfr7 Xgyķhķbgrifrfœborfjo uyiubgjgj ngreo kfmtgrķjg egēbķ cbgrgm :j  noēfœfm nuruk gbgefbfr7 (fēor efr

noyfœbo= j sgyķngmf @@ fbo< :j

  sgyķng sgykg fœbokf ygpķbķr7 3é gnot @@ mubbgjgj sgyķhķ Lmgnoko< nðrt gnot @@ mubbgjgj sgyķhķ E mgnoko sgykg ioréomboœtfrfr7 Xgyķhķbgr< sgygefbohoēfkgmsfkuk noēorf sgygefbohoēf ifef< eobfrbf efr noēoro mgngr sgykg ygpgefbfr7 Xgyķhķbgr<sgyķbgj nf"fjfj mcnbgjkgsķjg iðro1 0mfbf sgyķhķ< &'( sgyķhķ< 9cn sgyķhķ ve7 irupbgrggyrķbgefbfr7

  Vgpķbgj irupbgjnķrkgbgrng= irueuj efrfsf fjhobojfrmoj< nfēor irupbgrķj obokgjbgrķjķjð"obbfmborf fbo mgrœķbgœķbgefbfr7 &u jonojbo< totfmboko fœgrotborfjfj uyiubgjkgsķ œombfjo iðrosgyķhķbgrķj sķjķ`bgjnķrķbkgsķjngj egœbgjgrgm< yorf iobnfméo nfēor irupbgjnķrkgbgr féorfsfjno

 eubujgj gbt irupbgrngj eg+sonfbohomtfr7

7 Gs"mr, Xgyķhķbgr&fr @@8jfj éķmķœķjķj cju tgmfp onoj @@8jfj ifrfœfjf totfmbokom féfj mubbgjķbnķēķ sgyķhķbgr<‑gs"mr,  sgyķhķbgr‖  cbgrgm gnbgjnķrķbķr7 Gsojmrcj sgyķhķbgr< ‑(gb$gbķ sgyķhķ‖  voyg ‑s"rfsgyķhķ‖ cbgrgm tg fsfkbojnfrfbfr7 &u tfp sgyķhķbgrng @@8bor Htciibo8 kcnujng égbķœķrbgr< ygjfuyiubgjgj +or totfmboko sfjygbf fbo nuruk noēfœtfrfrbor7

Gsojmrcj sgyķhķbgrķj ðjokbf ð"obbfmborfjnoj kg+surbgrķjngj$ efrfsf< égbķœkg +ķ"ķ ygjfygyķbķk iohfmkosfnfr7 5>jm>< N gnot sorf egēbķ @@8jfj mubbgjķbnķēķ efr sgyķhķng +orefr @@8jfjygyķbķk iohfmkosf 2 jsj fso< novrono eubujgj N7 @@8jfj mcjuk noēfœtfrkosf féfj Nx2jsj ON2 jsj8bfm efr "gkgjķj ioékosf ioromfr7

Gsojmrcj sgyķhķbgrķ< yumgrķ vo gœgēķ gsojmrcj sgyķhķbgr cbgrgm sķjķ`bgjnķrkgm k>km>jn>r7

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Xgyķhķbgr   

77 Gs"mr, V#mgrķ Xgyķhķ /<mfbf gb$ghķm Xgyķhķ5

Gsojmrcj yumgrķ sgyķhķ< novronomf fbm @@8noj egœbgygrgm< @@ éķmķœķjķj efr scjrgmf @@8jfjtotfmboko ifrfœfjo nf"f œombfjno egēbgjkgsķybg obno onfbfr7 (ovrono eubujgj @@8bor tciibo

kcnujng égbķœtķmbgrķjngj< totfmboko sfjygbfjfj y>msoboj mojgrķ fbo fbifbf @@8jfj nuruku8noj 28g ygng 28ngj 8o noēfœfr7

Iomfb 77g8ng iðr>boj gsojmrcj sgyķhķng< oj n>œ>m noēorbfmbf @@ cbgj vo ioboj totfmbokosfjygbborfjf gbgj G @@8sf< fbm ioboj totfmboko sfjygbfjfj y>msoboj mojgrķ fbo nuruk noēfœtfrfrvo 4G éķmķœķ cbur7 0mfjhf ioboj totfmboko sfjygbf< G @@8sfjfj nurukuju 8noj 28g noēfœtfrfr7&u gjng G @@8sfjfj 4G

 éķmķœķjķj egēbķ cbnuēu & @@8sf totfmbojfr vo 4& éķmķœķ noēorfjf gbķr7

8"mfb 777 Gsojmrcj fmfbf sgyķhķ novrosf vo ngbig œomfbborf7

?otfmboko sfjygbborf fbo @@8borno cbuœgj éķmķœ noēorborf tgebc cbgrgm iðstorfbfrso< fmfbf sgykgnf"fsfjfj cbuœtuēu iðr>b>r Iomfb 77e$7 &u jonojbo novro< Hfmfbf sgyķhķ8 cbgrgm gnbgjnķrķbķr7Abuœgj cbgybgrķj ngbig œombf `crkujng éf"fbkosf fbo< Iomfb 77h8no ið">moj éķmķœ sfjygbœomfbborf cbuœur7 Abuœgj ngbig œombf< @@8borno totfmboko sfjygbfjo egēbķ cbgrgm cbuœgj éķmķœnoēorborf fbo fbifbf géķmbgyķhķ efbif vorkomtonfr7 Xgykg nf"fsfjno< F7totfmboko pgbsķ fboéķmķœbgrķj H228 noēorborfjf gbnķēķ vo sgykg fœbokfjo tomrgr egœbgjghgēķ iðr>boefbfr7

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķhķbgr 

8"mfb 776 (ðrt eft gsojmrcj yumgrķ sgyķhķ vo @@ éķmķœbgrķjngmf ngbig œomfbborf7

(ovrono eubujgj @@8bor Htciibo8 kcnujng égbķœtķmbgrķjngj< totfmboko sfjygbfjfj n>œoj mojgrķfbo fbifbf @@8jfj nuruku 8noj 28g ygng 28ngj 8o noēfœfr7 !j n>œ>m noēorbfmbf @@ cbgj voioboj totfmboko sfjygbborfjf gbgj G @@8sf< fbm ioboj totfmboko sfjygbfjfj n>œoj mojgrķ fbonuruk noēfœtfrfr vo 4G  éķmķœķ H8 cbur7 0mfjhf ioboj totfmboko sfjygbfjfj n>œoj mojgrķ G@@8sfjfj nurukuju 8noj 28g noēfœtfrfr7 &u gjng G @@8sfjfj éķmķœķjķj egēbķ cbnuēu & @@8sf

totfmbojfr vo 4& éķmķœķ noēorfjf gbķr7)or totfmboko sfjygbf fbo nuruk noēfœtfroj G @@8sf< nðrn>jh> sfjygbfj scjujng &8yf tomrgrtotfmboyorom 4& éķmķœķjķj 8noj 28g n>œkosfjo jonoj cbur7 &u noēfœfk ' @@8sfjf totfmboyorom4' éķmķœķjķj cbkgsķjķ sgēbgr7 ?otfmboko sfjygbborfybo @@8borfj éķmķœbgrķjng cbgj noēfœfkborvo +orefr @@8jfj éķmķœķjng cbuœghgm ngbig œombf< Iomfb 7:7e8no iðr>bkomtonfr7 Iomfbnoiðr>bn>ē> ifef< @@8borfj éķmķœķ efror efror noēfœorom< sfjygbfj sgyķhķ ecyujhg efr ngbighķmœombfjno ygyķbkgsķjķ sgēbgr7

Xgyķhķ novrosfjnomf efr @@8jfj ifrfœ vo éķmķœ sfjygbborfjfj mgrœķbgœtķrķbkgsķ nurukujng= +or efr @@ éķmķœķjngmf sfjygbfj `romgjsķjķj< ifrfœfjnomf sfjygbfj `romgjsķjķj ygrķsķ cbnuēu iðr>b>r7&u nuruk< @@8jfj `romgjs eðb>h> cbgrgm mubbgjķbgefbohoēf fkmgjķjķ crtgyg éķmgrķr7

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Xgyķhķbgr   

mgnokobf efr sgyķhķng ifrfœtoj uyiubgjgj sfjygb E8yg eðb>jk>œ cbgrgm obno onfbkomtonfrIomfb 7:7e$7

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sgyķhķ novrosf iðr>bkomtonfr7

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķhķbgr 

%ubbgjķbgj @@8borfj sķ`ķrbgkg ifrfœborfjfj sovfyosfjno otmfbf cbkgsķ nurukujng< sķ`ķrbgkgnovrosfjnomf ' fbo ,  obokgjbgrķjķj yor noēfœtfrkosf ioromfr Iomfb 7M7e$7 &u yojf novrono<fbm œgr gmķkķ sķrgsķjng t>k iorfbfk ,  nfrojhf >"orfjno n>œohoēfjnoj novro sķ`ķrbgjķr7 (g+gscjrg mcjngjsgtðr>j œgr cbkgsķybg novronoj gmgj gmķk sķ`ķrbgjghgēķjngj sķ`ķrbgkg ifrfœborf

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Xgyķhķbgr   

Xgykg fœbokfjfj egœbgyghgēķ noēorf fstoēo iðro gygrbgygefbohoēfkf" novro ðrjoēf< Iomfb7N8no iðr>bkomtonfr7 HL,m s"é""mbf &m#rkgbķ sgyķhķ‖  gnķ vorfboj eu novrono< sgykgfœbokfjfj egœbgtķbkgsķjķ fstonfēfkf" noēor fmfbf sgyķ cbgrgm G&'( ifrfœborfjo uyiubgjķr7Jrjoēfj= sgykg fœbokfjo F$2O222$:8noj egœbgkgm fstojfycrsg< ifrfœboro GO&O(O2 vo

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76 Gs"mr, Gœg+ķ Xgyķhķ

&obfrbf efr noēornoj egœbgyķp 28g ncēru sgykg fœbokf ygpgj vo efr @@8jfj éķmķœķjķj ng+gscjrgmf @@8jfj totfmboko ifrfœf cbgrgm mubbgjķbnķēķ novroboro< ‑Gs"mr, gœg+ķ sgyķhķbgr‖nojfr7 Gsojmrcj gœgēķ sgyķhķjķj gsojmrcj yumgrķ sgyķhķngj `grmķ1 @@8bor grgsķjngmf egēbgjtķng4 éķmķœķ yorfjo 4 éķmķœbgrķjķj mubbgjķbkgsķ vo sgykg yðj>n>r7 &u `grm nķœķjng< gsojmrcjyumgrķ sgyķhķ vo gœgēķ sgyķhķjķj égbķœkg projsfpborf gyjķnķr7

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(ovrojfj égbķœkgsķjķ fjhobokom féfj< egœbgjiķétg t>k @@ éķmķœbgrķjķj H28 cbnuēu mgeub onfbfr7@@8bor joigtf` mojgr totfmbokobf cbnumbgrķjngj< fbm ioboj totfmboko sfjygbfjfj joigtf` mojgrķfbo G @@8sf nuruk noēfœtfrfr7 4G éķmķœķ 8o ifnormoj< 4G éķmķœķ 8noj 28g ifnor7 &u nurukng& @@8sfjfj totfmbojkosf féfj uyiuj œgrt sgēbgjķr7 &u jonojbo & @@8sf nuruk noēfœtfrfr vo 4&

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķhķbgr 

sgykg fœbokf egœbgr7 Xgykg fœbokfjfj H28 noēorfjo orfœtfēf nuruk tospft onfbfr vo sgykgfœbokf nurnurubur 7  *%6@@8bf ??C \F\E ojtoirosf vo ðj murkg fœbokf ygrnķkķybg< N62grgsķjng fstojfboj sgyķngj iorfyo ncēru sgykg fœbokf ioréomboœtfrfboefbfr7

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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uyiubgjnķēķjng fso< G mgpķsķ gmtf` cbgrgm 4 éķmķœķjķ efr scjrgmf @@8jfj totfmboko ifrfœfjouyiubgr vo yumgrķ ncēru sgykg fœbokf ioréomboœfr7

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķhķbgr 

7: Gs"mr, Xgyķhķbgrbg E"bfrbf Efr "+"r" g(gr Xgykg <œb"kf

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:j  noēorf nķœķjng sgykg fstojfycrsg< sgyķhķ tgsgrķkķjng noēfœfmbfmbor ygpķbkgsķ ioromfr7 &uœomfbnomf efr sgykgyķ ioréomboœtfrkom féfj iorombf fœbok= sgyķbkgsķ fstojoj oj scj sgyķyķtospft onorom< eu sgyķngj scjrg novroyf egœbgjiķé jcmtgsķjg nðjn>rkomtfr7 &u fœbok=‑sķ'ķrbgkg‖ cbgrgm fsfkbojnfrfbfr7 Xķ`ķrbgkg fœbokf féfj fmf `grmbķ yðjtok mubbgjķbķr1 (cbgybķsķ`ķrbgkg kcnbgrg iðro sķ`ķrbgkg$ yðjtokf vo (cērungj sķ`ķrbgkg yðjtokf7

7:7 ,bgybķ Xķ'ķrbgkgbķ Gs"mr, Xgyķhķbgr

Xgyķhķbgrķ eobfrbf efr noēornoj scjrg sķ`ķrbgkgm féfj ygyiķj cbgrgm mubbgjķbgj yðjtokbornojfbmf< ncbgybķ sķ`ķrbgkg yðjtokfnfr7 @@8borfj gbnķmbgrķ nurukbgr vo mgpķ novroborf mubbgjķbgrgm<@@8borfj sķ`ķrbgkg ifrfœborf ygrnķkķ fbo sgyķhķ novrosfjnomf sķ`ķrbgkg fœbokf ioréomboœtfrfbkosf<‑(,bgybķ sķ'ķrbgkg‖  cbgrgm gnbgjnķrķbķr7 ‑K,(bgrg $&r" sķ'ķrbgkg y&!"kf‖  cbgrgm nggnbgjnķrķbgj eu yðjtokno< sgykg fœbokfjf ioréomboœtfrohom novrojfj tgsgrķkķ féfj gœgēķngmffœbok sķrgsķ tgmfp onfbfr7

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  :7 ?gebcjuj oj gbt mķskķjg sgyķbghgm oj scj sgyķngj scjrgmf sgyķ yg"ķbķr7

  M7 Xgyķhķng mubbgjķbghgm @@ tfpf vo gnonf tospft onfborom< fstojfboj sgyķhķjķj projsfp œokgsķéf"fbfr7

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Ðr"m 7) N$2O2$:8yo mgngr sgykg fœbokf ygpķp< tomrgr egœg nðjoj sķ`ķrbgjgj$ sgyķhķnovrosfjf tgsgrbgygbķk7

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Xgyķhķbgr   

Xgyķhķ novrosf E mgnokobf sgykg fœbokf ioréomboœtfrnfēfjnoj< 2 nurukujngj scjrg sgykgfœbokfjfj egœbgjiķhg nðjkosf sķ`ķrbgjkgsķ$ ioromfr7 Xgykg fœbokfjnomf oj scj nf"fyf tgmfponoj noēor< sķ`ķrbgkg fœbokfjo ygrnķkhķ cbkgsķ gkghķybg ioéfhf nuruk cbgrgm mubbgjķbķr7(fēor efr noēfœbo= 9cn6E sgyķhķng sķ`ķrbgkg fœbokf< 2$: fbo toksfb onfboj mcjuk ygrnķkķybg

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķhķbgr 

Jrjoēfj= Iomfb 727e8nomf sgyķhķ novrosfjno ' @@8sfjfj éķmķœķ F totfmboko sfjygbf s>rosfjho2 mgbķrmoj< : totfmboko sfjygbf s>rosfjho mgbkgmtgnķr7

 

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķhķbgr 

ioréomboœfr7 &u nurukng= '< (< !< @ @@8borfjfj éķmķœbgrķ HK!(!W0C8 mgpķsķjg egēbgjķr7?>k ifrfœborfjfj H8 cbnuēu gjng HK!(!W0C8 mgpķsķjķj éķmķœķ H28 cbgrgm bcfm novroyfsķ`ķrbgr7

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Xgyķhķbgr   

vo %8jķj noēorf jo cbursg cbsuj @@ mcjuk noēfœtfrko"7 * vo %8jķj nurukujuj ðjokbfcbkgnķēķ eu nurukbgr< *On vo %On cbgrgm mgeub onfbfr7 0bifbf @@8jfj totfmboko ifrfœfjno efbifcbkgsķ nurukujng @@ mcjuk noēfœtfrohoēfjnoj< * vo % ifrfœborfjfj nurukbgrķ Iomfb7M7e8no vorfboj ioéfœ tgebcsujg iðro eobfrbojfr7

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 356/533

 

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Xgyķhķbgr   

8"mfb 77707 (cērungj sķ`ķrbgkgbķ gsojmrcj 9cn6E sgyķhķ7

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>2

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķhķbgr 

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Xgyķhķbgr   

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 360/533

  Xgyķhķbgr 

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Xgyķhķbgr   

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http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 362/533

  Xgyķhķbgr 

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http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 363/533

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scjrg otmfbf cbur7 Vgyķbķk iohfmkosfjfj scjuhu cbgrgm< fbm totfmboko sfjygbf fbo ygbjķ"hg G@@8sf mcjuk noēfœtfrfr< nfēor @@8borno efr noēfœfmbfm cbkg"7

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 364/533

  Xgyķhķbgr 

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http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 365/533

Xgyķhķbgr   

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 366/533

  Xgyķhķbgr 

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http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 367/533

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķhķbgr 

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Xgyķhķbgr   

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķhķbgr 

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Xgyķhķbgr   

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  Xgyķhķbgr 

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http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 376/533

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http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 377/533

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http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 378/533

  Xgyķhķbgr 

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 379/533

Xgyķhķbgr   

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 380/533

  Xgyķhķbgr 

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http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 381/533

Xgyķhķbgr   

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 383/533

Xgyķhķbgr   

Gœgēķ sgyķhķ cbgrgm mubbgjķbgj eu novrojfj pgrgbob y>mboko ifrfœborfjo 22$:  noēorf sgeftcbgrgm uyiubgjkgmtgnķr7 (ovrono< ?'(  éķmķœķ #C  ifrfœfjo egēbgjnķēķjg iðro sgyķhķngmffœbokborf fjhoboyobfk7

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Xgyķhķyķ gjgbf" otkom féfj< sgyķhķjķj egœbgjiķétg t2 gjķjng H228 noēorfjo murubnuēuju vo

gœgēķ sgykg ygpķbnķēķjķ mgeub onohoēf"7

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ygpgrgm sgyķhķjķj H228 mcjukujuj murubkgsķjķ sgēbgr7 ?'( écm mķsg efr s>ro H28 cbgrgmmgbķr7 5>jm> sgyķhķjķj H228 noēorfjo murubkgsķ vo eu noēorf mcrukgsķ ?'(8jfj H28

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 384/533

  Xgyķhķbgr 

(oēfœoefbfr r̀omgjs eðb>h> novrosf< Iomfb 7N:8nomf pgrgbob vorf ifrfœborfjo gjg+tgrbgrmcjubgrgm obno onfboefbfr7 Gjg+tgrbgr< cbuœturubkgm fstojoj `romgjs eðb>h>j>j noēorfjouyiuj cbgrgm sgyķhķyg efbif y>mboyohom œomfbno muruburbgr 7

Xgyķhķ novroborfjno mubbgjķbgj nfēor efr ojtoiro tfpf< fmf gnot egēķksķ" sgyķhķ féoroj \FU2obokgjķnķr Iomfb7NM$7 &frf 9cn6:< nfēorf 9cn6N cbgj eu sgyķhķbgrķj totfmboko ifrfœborf efrefrfjnoj egēķksķ"nķr7 Iomfb 7NM8no œokgbgrķ vorfboj eu sgyķhķbgrķj< efrefrfybo `grmbķ egēbgjtķbgrķ scjuhu :8noj 28g mgngr eðbko fœbokborf ygpķbgefbfr7

 

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http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 385/533

Xgyķhķbgr   

&'( sgyķhķ cbgrgm fsfkbojnfrfboj Iomfb 7NF8nomf novro< 28ngj U8g mgngr sgykg fœbokf ygpķpiðr>jt>boyorom tomrgr 28g nðjor7 (osfkgb sgyķbgrngj ng+g e>y>m sgyķbgrķ sgykgm voiðr>jt>bokom féfj< &'( sgyķhķbgr Iomfb 7NN8nomf ifef mgsmgt cbgrgm egēbgjķr7

 

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 386/533

 

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vo iðstoriobor 28g nðjor7UUU8g mgngr sgykg fœbokf ioréomboœtfroj eu novrono< ygpķbgj sgykg fœbokfjfj ng+g e>y>mnoēorborf sgygefbkosf féfj yojf mgtbgrķj ombojkosf ioromfr7 &'( sgyķhķ cbgrgm< &'( sgykgfœbokf féfj tgsgrbgjgj \FU2 voyg \FU: sgyķhķ ojtoiroborf mubbgjķbgefbohoēf ifef< uyiuj

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http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 387/533

Xgyķhķbgr   

8"mfb 7739 )gbmg sgyķhķ novrosf ngbig œomfbborf7

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 388/533

  Xgyķhķbgr 

h5 Géķm œokgsķ7

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(ovro mgrkgœķmbķēķ egmķkķjngj +gbmg sgyķhķ fbo fmfbf sgyķhķbgr grgsķjng efr novro ygpķsķjgsg+fp cbgj *c+jscj sgyķhķbgr< eobfrbf uyiubgkgbgrng sgēbgnķmbgrķ gvgjtgbgr jonojfybo torhf+onfbfrbor7 #fygsgng ygyiķj cbgrgm eubujgj *c+jscj sgyķhķbgrngj fmfsf< t>k mcn éð">h> novroyfno féoroj F2\ vo F2:: ojtoiroborfnfr7

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\FUM ojtoirosf fbo yumgrķ / gœgēķ sgynķrkg fœbokf ygpķbgefbfr7 2222 fbo noēorborfgrgsķjng yumgrķ/gœgēķ sgykg ygpgj ojtoirojfj éķmķœķ< F +gttgj E +gttg mcn éð">h> cjgbtķbķmcn éð">h>$ cbgj \FNF ojtoirosfjo ifrfœ cbgrgm uyiubgjķr7 &u nurukng E C!(8fj sgēgvoyg scbg ygjkgsķ mcjtrcb> ygpķbgefbfr7 (ovronomf C!(8borfj sgēg / scbg ygjkgsķ fœbokf< HK!(!W0C8 mgpķbgrķ G<&<'<( mgpķbgrķ ygrnķkķ fbo ioréomboœtfrfbfr7

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Xgyķhķbgr   

Iomfb 7NU8ngmf novrojfj égbķœkgsķjķ géķmbgygefbkom féfj= HG8 mgpķsķjķj jcbu ifrfœfjfjHbcfm 28 vo H&8 mgpķsķjķj N jcbu ifrfœfjfj bcfm H8 cbnuēuju mgeub onobfk7 H'8 vo H(8mgpķbgrķjķj egēbgjtķ œomfbborfjnoj ncbgyķ< eobfrtfboj fmf jcmtgngmf bcfm noēorbor novgkbķ

 efrefrfjfj torsfnfr7 H&8 mgpķsķjķj ifrfœborfjnoj efrfsfjfj Hbcfm 8 cbkgsķ jonojf fbo< totfmboko

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  Xgyķhķbgr 

Xgyķhķ éķmķœķjngmf sgykg noēorf H8 noēorfjo ubgœķjhg oj scbngmf C!( ygjgr vo H'8mgpķsķjķj ifrfœborfjnoj efrfsf H28 cbur7 .frfœborfjnoj efrfsf H28 cbgj H'8 mgpķsķjķj éķmķœķ H8 cburvo HG8 mgpķsķjķj H8 jcbu pfjo egēbķ cbgj uhu Hbcfm 8 cbur7 HG8 mgpķsķjķj éķmķœķ H8 noēorfjfgbķr vo \FNF ojtoirosfjfj Hgœgēķ sgykg8 uhuju gmtf` +gbo iotfrfr7 Gyjķ gjng< H'8 mgpķsķjķj

éķmķœķ H(8 mgpķsķjķj ifrfœfjf no H8 ygpgr vo +or fmf ifrfœfjno H8 cbgj H(8 mgpķsķ éķmķœķjngHbcfm 28 cbuœur7 H(8 mgpķsķ éķmķœķjng cbuœgj H28 noēorf< totfmboko sfjygbfjfj H&8 mgpķsķ>"orfjnoj Hyumgrķ sgykg8 uhujg uyiubgjkgsķjg ojiob cbur7 H(8 mgpķsķjķj éķmķœķjngmf Hbcfm28 noēorfjfj H'8 mgpķsķjg ifrfœ cbgrgm uyiubgjkgsķ< mcn éð">h> ojtoirojfj oj scbujngmféķmķœķjķj H28 cbkgkgsķ nurukujng efbo Hgœgēķ sgykg8 uhujuj gmtf` cbgrgm mgbkgsķjķ sgēbgr7

Xgyķhķ ojtoirosfjfj gœgēķ ncēru sgykgsķ< mcn éð">h> éķmķœbgrķjķj scbngj sgēg ncēru gmtf`cbkgsķjķ bcfm 2$ vo C!(8borfj scbngj sgēg ncēru ygjkgsķjķ sgēbgr7 Xgykg fœbokf H22228noēorfjo ubgœtķēķ gjng< H&8 mgpķsķ éķmķœķ tomrgr Hyumgrķ sgykg8 ifrfœfjf gmtf` ygpgr vo C!(8borsgēngj scbg ncēru ygjkgyg egœbgr7

06 fCf!gb Xgg!

Xgyķhķbgrķj ygyiķj mubbgjķbnķēķ yorbornoj efrfsf< nfftgb sgyķsgb$ sggtbornfr Iomfb 7E2$7Xgyķsgb sggtborno= sggt< ngmfmg vo sgjfyo cbgrgm eubujubgj gj iðstorfbfr7

Iomfb 7E28ngmf nfftgb sggt novrosfjfj égbķœkgsķ féfj iorombf eosboko iorfbfkf vo sgykgfœbokf féfj iorombf totfmboko sfjygbf< ::2 K / N2)" œo+fr œoeomosfjnoj obno onfbfr7 ::2 K G'iorfbfk ncērubtkgé novrosf fbo +NK (' iorfbfk œombfjo nðj>œt>r>b>rmoj< N2 )"8bfm sfjygb )"8bfm totfmboko sfjygbf œombfjo nðj>œt>r>b>r7 &u fœbokbor féfj= ngbig œomfbbojnfrfhf vo N28yo

 eðboj novrobor mubbgjķbķr7

Xggt novrosfjnomf sgjfyo sgyķhķ novroyo uyiubgjgj totfmboko sfjygbf< sgjfyo sgykg fœbokfjfjygjķjng ngmfmg vo sggt sgykg fœbokborf féfjno mubbgjķbķr7

Xgjfyo sgyķhķ novro< +or ioboj totfmboko sfjygbf fbo sgykg fœbokf ygpgj 9cn6E2 sgyķhķnovrosfnfr7 E28g mgngr sgykg fœbokf ygpgj sgjfyo sgyķhķngmf 9cn62 sgyķhķsķ U8ngj 28gnðjormoj< 9cn E sgyķhķsķjg totfmboko sfjygbf iðjnorfr7 Xgjfyo sgyķhķngmf noēor NU cbnuēunurukng< sgykg noēorf 28g nðjor vo eu gjng ngmfmg sgyķhķngmf 9cn62 sgyķhķsķjg efrtotfmboko sfjygbf iðjnorfr7

(gmfmg sgyķhķngmf novrono 9cn6E2 sgyķhķ novrosfnfr7 9cn62 sgyķhķsķ fbo U8g mgngr sgykgfœbokf ygpķbķrmoj< 9cn6E sgyķhķ fbo sgykg fœbokfjfj NU8g mgngr cbkgsķ sgēbgjķr7 (ovronomfsgykg fœbokf 28g nðjormoj< 9cn6: sgyķhķ cbgrgm égbķœgj sggt sgyķhķ novroyo efr pgbstotfmboko sfjygbf iðjnorfbfr7 &ujuj uyiubgkgngmf gjbgkķ= E2 ngmfmg scjuhujng sggt iðstorojnovrojfj iðstornfēf noēorfj H8 grtkgsķnķr7

Xggt sgyķhķ novrosf< 9cn62 vo eujg egēbķ cbgrgm égbķœgj 9cn6: sgyķhķ novrosf :8noj M8o

222 22$&'( ioétfēf "gkgj< HG8 mgpķsķjķj DGD( mgpķsķ$ t>k ifrfœborf bcfm H8 vo HG8

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Xgyķhķbgr   

mgpķsķ éķmķœķ bcfm H28 cbur7 H'C,8 ifrfœfjo H28 uyiubgjgj 9cn6: sgyķhķsķ 28g ifnormoj< vorfy>mboko ifrfœfjo H28 uyiubgjgj 9cn62 sgyķhķsķ H8 noēorfjf gbķr7 &u nuruk= sggtfj H1228noēorfjnoj egœbgkgsķjķ< ygjf H:1NU8 noēorfjf iðstornfmtoj scjrg H1228 noēorfjo nðjkosfjfsgēbgr7

 

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  Xgyķhķbgr 

7E$7 HK!8 mgpķsķ< efr mcjtrcb gjg+tgrķ ifef iðrov ygpgr7 5>jm> HK!8 mgpķsķjķj sgyķk pojhorosf pgbsķ uyiubgjgj ifrfœfjno H28 cbkgsķ fbo mgpķ géķm gjg+tgr ð"obbfēf iðstorfrmoj<ifrfœfj H8 cbkgsķ fbo mgpķ mgpgbķ gjg+tgr ð"obbfēf iðstorfr7 %gpķjķj mgpgbķ gjg+tgr ð"obbfēfiðstorkosf fbo< efbfjkoyoj ifrfœ `romgjsķ sgyķhķ novrosfjfj totfmboko ifrfœfjo uyiubgjķr7 Iomfb

7E8nomf novrono< sgyķk pojhorosf pgbsķ s>rosfjno efbfjkoyoj ifrfœ sfjygbf cbgrgm N pgbs8bfm efr sfjygb uyiubgjnķēķjngj< 9cn62 sgyķhķ N moro totfmbojfr vo éķmķœķjng H228 noēorf cbuœur7Xgyķhķ éķmķœķjng cbuœgj noēorfj< &'(8noj yonf pgrégbķ iðstorioyo mcn éð">h> novrosfjouyiubgjkgsķ fbo iðstoriono HN8 noēorf cmujur7 Xgyķk pojhorosf pgbsķ s>rosf cbgrgm sjsoéfbkosf jonojf fbo< cmujgj sfjygbfj `romgjsķ N )"8nfr7

&fbfjkoyoj ifrfœ sfjygbfjfj sgyķk sfjygbf pgbsfjfj gmtf` cbkgsķ sķrgsķjng ðrjombojkosf jonojffbo sgyķk pojhorosf pgbsf< Hðrjomboko pgbsķ8 cbgrgm ng fsfkbojnfrfbkomtonfr7

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@romgjs sgyķhķ novro fbo ðbé>boj `romgjsķj +gssgsfyotf< sgyķk pojhorosf pgbsfjfj +gssgsfyotfjo egēbķnķr7 22 %)"8bfm efr mrfstgb csfbgtðr mubbgjķkķ fbo< %)"8bfm `romgjsķj ðbé>boefbkosf féfjyotorbf +gssgsfyot sgēbgjgefbfr7 %rfstgb csfbgtðrnoj >rotfboj 22 %)"8bfm sfjygb< sgykg

 pojhorosf >rotfhf novrosfjno \FCNE2G$ mgsmgt egēbķ sgyķhķ novroborno eðb>jorom= `romgjs

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Xgyķhķbgr   

ðbé>k>jno )"< 2 )"< 22 )" vo %)" ðbéko mgnokoborfjfj cbuœturubkgsķjķ sgēbgr7 XTécm mcjukbu gjg+tgr mck>bgtðr$ fbo< ðbé>k ygpķbghgm `romgjs mgnokosf soéfbfr7

Xoéfboj `romgjs mgnokosfjo egēbķ cbgrgm< fmfyo eðb>h> @@ novrosfjfj \F\E$ éķmķœķjng sgykg

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Xgyķhķbgr 

onoj sgyķhķyg efr pgbs iðjnorfr vo 28g nðjor7 0jhobojoj novrono< sgykg fœbokf F8o mgngrnovgk onor vo eu nurukng ðbé>bkom fstojoj sfjygbfj `romgjsķ F )" cbgrgm cmujur7

Xgyķhķ novrosf éķmķœķ< &'( cbgrgm mgynonfhfboro< mgynonfhfborfj éķmķœbgrķ fso yonf pgrégbķ

iðstorioborf s>roj &'(8noj yonf pgrégbķ iðstorioyo mcn éð">h> novrosfjo uyiubgjķr7 (fēortgrg`tgj< tom mgrgrbķ kubtfvfergtðr>j 48 éķmķœķ mgynonfhfborfj totfmboko ifrfœfjo uyiubgjķr7 &u pgbs fbo< sgyķhķ novrosfjnoj mgynonfhfboro y>mbojoj noēor sgmbgjķr7 %gynonfhf éķmķœbgrķjngmfnoēorbor< mcn éð">h> novrono yonf pgrégbķ iðstoriono ið">mohom œombo nðj>œt>r>b>r vonoēorfj efr s>ro ið">mkosf mgynonfhfbor ygrnķkķybg sgēbgjķr7

"mrgrbgkg 1" Lgbķœkg X,r#bgrķ

7 HXgyķhķyķ8 tgrf` onfjf"

6 Xgyķhķbgrķ sgykg yðj>jo vo sgykg mcnbgkgsķjg iðro sķjķ`bgjnķrķjķ"7

2 Gsojmrcj vo sojmrcj sgyķhķbgrķ tgrf` onfjf"7

: Gœgēķ< yumgrķ vo gœgēķ / yumgrķ sgyķhķbgrķ tgjķkbgyķjķ"7

3 0mf eftbfm ngbighķm sgyķhķ œokgsķjķ vo éķmķœ ngbig œombfjf éf"orom< novrojfj égbķœkgsķjķgéķmbgyķjķ"7

0 (>œoj mojgr totfmbokobf F @@ mubbgjgrgm< 26N grgsķjng sgygj yumgrķ sgyķhķ novrosfjféf"fjf" vo novrojfj égbķœkgsķjķ géķmbgyķjķ"7

9 @@8bor fbo `romgjs eðbko fœbokfjfj iojob projsfefjf géķmbgyķjķ"

. Gsojmrcj yumgrķ sgyķhķng< gmtf` H8 rosotboko ifrfœfjo sg+fp @@8bor mubbgjķbnķēķjg iðro<sgyķhķyķ sķ`ķrbgyghgm novroyf omboyfjf"7

> Jj murkgbķ sgyķhķyķ œomfbbo géķmbgyķjķ"7

74 5cm soéojombf ðj murkgbķ sgyķhķ jonfr]

77 Gsojmrcj gœgēķ sgyķhķyķ tgjķkbgyķjķ"7

76 3é eftbfm gsojmrcj gœgēķ sgyķhķjķj égbķœkgsķjķ ngbig œomfbborf ygrnķkķ fbo géķmbgyķjķ"7

72 2 noēorfjnoj egœbgygrgm gœgēķ ncēru sgykg fœbokf ioréomboœtfroj novroyf éf"oromégbķœkgsķjķ gjbgtķjķ"7

7: F @@ vo HJ"ob6K!VG8 mgpķbgrķ mubbgjgrgm 26N grgsķjng sgykg ygpgefboj gœgēķ yumgrķsgyķhķ novrosf tgsgrbgygrgm< égbķœkg projsfefjf ð"otboyfjf"7

73 Xgyķhķbgrng mubbgjķbgj H9cn8 torfkfjf géķmbgyķjķ"7

70 Xgyķbgrng ncbgybķ sķ`ķrbgkg yðjtokfjf tgjķkbgyķjķ"7

79 (cbgybķ sķ`ķrbgkg yðjtokf mubbgjķbgj efr sgyķhķ tgsgrķkķjng tgmfp onfbohom fœbokborfsķrgbgyķjķ"7

7. 9cn6N sgyķhķsķjķ ncbgybķ sķ`ķrbgkg yðjtokf mubbgjgrgm tgsgrķkbgyķjķ"7

724

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Xgyķhķbgr   

7> 9cn6: sgyķhķsķjķ ncbgybķ sķ`ķrbgkg yðjtokf mubbgjgrgm tgsgrķkbgyķjķ"7

64 Xgyķhķbgrng ncērungj sķ`ķrbgkg yðjtokfjfj iojob projsfpborf jobornfr]

67 (cērungj sķ`ķrbgkgbķ 9cn62 sgyķhķsķjķ tgsgrbgyķjķ"7

66 (cērungj sķ`ķrbgkgbķ 9cn6: sgyķhķsķjķ tgsgrķkbgyķjķ"762 0bm @@8jfj totfmboko ifrfœfjo uyiubgjgj sfjygbfj `romgjsķjķ :N8o eðboj gsojmrcj sgyķhķ

novrosfjf tgsgrķkbgyķjķ"7

6: HXojmrcj sgyķhķ8 torfkfjnomf Hsojmrcj8 mobfkosf +gjif gjbgkng mubbgjķbkķœtķr7

63 0mf eft sojmrcj yumgrķ sgyķhķ novrosfjf œomfbbo efrbfmto géķmbgyķjķ"7

60 (ðrt eftbfm sojmrcj yumgrķ sgyķhķ novrosfjfj bcfm œokgsķjķ éf"orom égbķœkg projsfefjfgéķmbgyķjķ"7

69 &'( sojmrcj sgyķhķ novrosfjfj œombfjf éf"orom< égbķœkgsķjķ ngbig œombf ygrnķkķ fbogéķmbgyķjķ"7

6. Xojmrcj gœgēķ sgyķhķ tokob projsfefjf géķmbgyķjķ"7

6> (ðrt eftbfm sojmrcj gœgēķ sgyķhķ novrosfjf bcfm œokgsķjķ éf"orom< égbķœkgsķjķ ð"otboyfjf"724 3é eftbfm sojmrcj yumgrķ _gœgēķ sgyķhķ novrosfjf œomfbbo gjbgtķjķ"7

27 Xojmrcj sgyķhķ tgsgrķk gœgkgbgrķjķ sķrgbgyķjķ"7

26 9cn6U sojmrcj sgyķhķ tgsgrķkķjķ ygpķjķ"7

22 9cn6: sojmrcj sgyķhķ tgsgrķkķjķ ygpķjķ"7

2: < :< F< N sgykg nf"fsfjf sgygj sojmrcj sgyķhķ novrosfjf tgsgrbgyķjķ"7

23 N< M< :< sgykg nf"fsfjf tomrgrbgygj sojmrcj sgyķhķ novrosfjf tgsgrbgyķjķ"7

20 HXgyķhķjķj y>mbojkosf8 torfkfjf géķmbgyķjķ"7

29 Xgyķhķ ojtoiroborfjno iojobno eubujgj pfjborf œokg >"orfjno iðstorfjf" vo pfjborfjgjbgkbgrķjķ ð"otboyfjf"7

2. Xgyķhķ ojtoiroborfjno eubujgj torkfjgb sgykg éķmķœbgrķjķj gkghķjķ vo égbķœkg œomfbborfjfgéķmbgyķjķ"7

2> #fygsgng eubujgj gsojmrcj sgyķhķ ojtoiroborfjo ðrjombor vorfjf"7

:4 \FUM gsojmrcj sgyķhķ ojtoiro sokecb>j> éf"fjf"7

:7 \FUM gsojmrcj sgyķhķ ojtoirosf fé ygpķsķjķ œomfbbo géķmbgyķjķ"7

:6 \FUM ojtoirosf fbo 9cn6:N sgyķhķ novrosfjf cbuœturuju"7

:2 .frfœfjo uyiubgjgj `romgjsķ N28yo eðboj sgyķhķ novrosfjf \FUM fbo cbuœturuju"7

:: UU8g mgngr sgygj mgsmgt sgyķhķjķj œokgsķjķ éf"orom égbķœkg projsfefjf ð"otboyfjf"7

:3 UUUU8g mgngr sgygj sgyķhķyķ &'( sgyķhķbgr fbo cbuœturuju"7

:0 H,fji sgyķhķyķ8 tgjķkbgyķjķ"7

:9 \ @@ mubbgjgj rfji sgyķhķ novrosfjf éf"orom< égbķœkg projsfefjf ð"otboyfjf"7

727

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  Xgyķhķbgr 

:. H*c+jscj sgyķhķ8yķ tgjķkbgyķjķ"7

:> 9cn6E *c+jscj sgyķhķ œokgsķjķ éf"fjf"7

34 ,fji vo *c+jscj sgyķhķbgr grgsķjngmf `grmķ ð"otboyfjf"7

726

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Mgynonfhfbor

(Uoifstors)

EÐBÒK

75

Gkgébgr

 

Mgynonfhfborfj tgjķtķbkgsķ vo mgynonfhfborfj irupbgjnķrķbkgsķ

 

Mgynonfhfborfj pgrgbob vo sorf mgynonfhfbor cbgrgm sķjķ`bgjnķrķbkgsķ 

Xorf mgynonfhfborfj sgēg vo scbg mgynonfhfbor œombfjno égbķœkg projsfpborfjfj géķmbgjkgsķ

 

Efbif ifrfœ éķmķœķjg iðro mgynonfhfborfj irupbgjnķrķbkgsķ

 

Mgynonfhf uyiubgkg ðrjomborfjfj fjhobojkosf

Egœbķmbgr

  Mgynonfhfborfj efbifjfj yòmbojkosfjo iðro sķjķ`bgjnķrķbkgsķ

  \grgbob Mgynonfhfbor 

  Xorf Mgykgbķ! Mgynonfhfbor 

  Efbif "frfœ # $ķmķœķjg "ðro Mgynonfhfborfj Xķjķ`bgjnķrķbkgsķ

  Xorf "frfœ # Xorf $ķmķœbķ Mgykgbķ Mgynonfhfbor 

  Xorf "frfœ # \grgbob $ķmķœbķ Mgykgbķ Mgynonfhfbor 

  \grgbob "frfœ % Xorf $ķmķœbķ Mgykgbķ Mgynonfhfbor 

  \grgbob "frfœ % \grgbob $ķmķœbķ Mgykgbķ Mgynonfhfbor 

  &mf 'ðjbò Mgykgbķ vo (grmbķ "frfœ # $ķmķœ Mckefjgsycjbu Mgynonfhfbor 

  Mgykgbķ Mgynonfhf )yiubgkgbgrķ

  *gkgj "ohfmkosf

  Mgykgbķ Mgynonfhfjfj +gbmg Xgyķhķ ,bgrgm Mubbgjķbkgsķ

  Xorfnoj \grgbobo -orf .ðjò òkò

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  Mgynonfhfbor 785

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Mgynonfhfbor 

Ifrfœ

/c<fm mgpķbgr vo ((7bornoj cbuœgj5 fmfbf efbifborf ioéfhf cbgrgm sgmbgkgm féfj mubbgjķbgjnovrobor5 ‑mgynonfhfbor‖ roifstors! cbgrgm gnbgjnķrķbķr8 Mgynonfhfborfj sgyķhķbgrngj tom `grmķ>mgynonfhfborfj sgyķhķbgrng cbnuēu ifef eobfrbf efr sgykg nf?fsfjf novgkbķ tomrgrbgkgkgsķnķr8Mgynonfhfbor> efbifsgygrbgrng efbif nopcbgkg5 fmfbf tcpbgyķhķ 0 éķmgrķhķ novroborno efbif tutkgvo efbif trgjs`orf ifef fœbokborno5 sgyķhķbgrng eobbom efrfkborfjno5 ve8 yorborno mubbgjķbķrbgr8

Mgynonfhfbor5 efbifjfj yòmbojfœfjo vo efbif%ifrfœ éķmķœ œombfjo iðro sķjķ`bgjnķrķbgefbfrbor 9omfb1681!8

  Mgynonfhfborfj efbifjfj yòmbojfœfjo iðro sķjķ`bgjnķrķbkgsķjng> tòk efbifborfj ((7boro gyjķgjng yòmbojnfēf mgynonfhfbor 'pgrgbob mgynonfhfbor'  pgrgbbob roifstors! cbgrgm

fsfkbojnfrfbfrmoj5 efbifborfj tom%tom yòmbojnfēf vo mgynķrķbnķēķ mgynonfhfbor ‑sorfmgynonfhfbor‖  sorfgb roifstors! voyg ‑mgykgbķ mgynonfhfbor‖  s4f t̀ roifstors! cbgrgmfsfkbojnfrfbfr8

Mgynonfhfbor efbif ifrfœ%éķmķœ œombfjo iðro sķjķ`bgjnķrķbķrmoj> efbifjfj sorf voyg pgrgbob cbgrgmifrfœ vo éķmķœbgrng cbuœgefbohoēf ro`orgjs gbķjķr8 Eu ro`orgjsg iðro = `grmbķ nuruk cbuœur2 sorfifrfœ%sorf éķmķœ5 sorf ifrfœ%pgrgbob éķmķœ5 pgrgbob ifrfœ%sorf éķmķœ5 pgrgbob ifrfœ%pgrgbob éķmķœ8

.g4g `grmbķ ð?obbfmboro iðro no sķjķ b̀gjnķrķbgefbohom mgynonfhfbor5 efbif yòmbojkosf vo efbififrfœ%éķmķœ œombf ro`orgjs gbķjgrgm 9omfb 16817nomf irupbgrg gyrķbgefbfrbor8

Mgynonfhfbor

\grgbob Mgynonfhfbor orf !mgykgbķ" Mgynonfhfbor

Efb#f Ifrfœ$%ķmķœķ&g I'ro Mgynonfhfbor

  Xojmrcj ;sojmrcj Xgēg Xcbg Xgēg%Xcbg

Xorf "frfœ Xorf "frfœ \grgbob "frfœ \grgbob "frfœXorf $ķmķœ \grgbob $ķmķœ Xorf $ķmķœ \grgbob $ķmķœ

Efb#f&f& ()mbo&kosf&o I'ro Mgynonfhfbor

 

*omfb 75+7+ Mgynonfhfborfj sķjķ`bgjnķrķbkgsķ8

788

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  Mgynonfhfbor 

7+ Mgynonfhfborf& ,fb#f&f& y)mbo&kosf&o #ro sķ&ķ-bg&nķrķbkgsķ

Mgynonfhfbor5 efbifjfj yòmbojkosf ro`orgjs gbķjgrgm pgrgbob mgynonfhfbor vo sorf mgynonfhfborœombfjno gbt sķjķ`bgrg gyrķbķrbgr8

7+7+ \grgbob Mgynonfhfbor

Eòtòj efbifborfj gyjķ gjng ((7boro yòmbojnfēf mgynonfhfbor5 ‑pgrgbob mgynonfhfbor‖  cbgrgmgnbgjnķrķbķr8 \grgbob mgynonfhfboro efbif yòmboko fœbokf5 sojmrcj voyg gsojmrcj cbgrgmioréomboœtfrfbfr8 :otfmboko ifrfœf mubbgjķbkgngj5 efbifborfj murkg ifrfœf ygrnķkķ fbo yòmbojnfēfmgynonfhf novroborf ‑gso&mr.& pgrgbob mgynonfhf‖  cbgrgm fsfkbojnfrfbfrmoj5 efbifborfjyòmbojkosf féfj totfmboko ifrfœborfjfj mubbgjķbnķēķ novrobor ‑so&mr.& pgrgbob mgynonfhf‖cbgrgm gnbgjnķrķbķr8

'ojf efbif ifrfœf féfj totfmboko ifrfœfjfj mubbgjķbkgnķēķ gsojmrcj pgrgbob mgynonfhfnovrosfjno5 4or yojf efbifjfj yòmbojkosfjnoj ðjho ((7borfj sķ`ķrbgjkgsķ ioromfr 9omfb 1686!8

 

*omfb 75+5+ ;sojmrcj pgrgbob mgynonfhf projsfp œokgsķ8

Efbif yòmbojkonoj ðjho ygpķbkgsķ iorombf sķ`ķrbgkg fœbokf5 sķ`ķrbgkg ifrfœfjfj 3! gmtf`ygpķbkgsķybg ioréomboœtfrfbfr8 ((7borfj ojor<fbojkosfjnoj scjrg5 yòmbojohom efbifbor efbififrfœborf cbgrgm mubbgjķbgj L-G.G&/7 mgpķbgrķjg uyiubgjķr8 Murkg ifrfœfjfj L17 ygpķbkgsķfbo fstojoj efbifbor mgynonfhfyo gmtgrķbķr8 Eujuj gjbgkķ> efbif ifrfœborfjo uyiubgjgj efbifjfjmgynonfhfyo yòmbojkosfjf fstonfēfkf? gjng5 murkg ifrfœfjfj L17 ygpķbkgsķjķj yotorbfcbkgsķnķr8 Mgynonfhfyo yòmbojoj efbifbor5 efr scjrgmf sķ`ķrbgkg fœbokfjo mgngr ((7bornosgmbgjķr8

"frfœ efbifborfjfj mgynonfhfboro yòmbojkosf féfj iorombf totfmboko sfjygbborfjfj gyjķ gjng%gyjķ mgyjgmtgj uyiubgjnķēķ pgrgbob mgynonfhfbor5 'so&mr.& pgrgbob mgynonfhfbor'  cbgrgmfsfkbojnfrfbfr8 . tfpf ((7borfj mubbgjķbnķēķ eu tfp mgynonfhfborno5 LHbm7 ifrfœfjfj N1N ygpķbkgsķfbo ifrfœbornoj uyiubgjgj efbifbor ((7boro yòmbojoefbfr vo éķmķœtgj gbķjgefbfr8 LHbm7 ifrfœfjfj NON

ygpķbkgsķ nurukujng fso5 ifrfœtoj uyiubgjgj efbif éķmķœtgj gbķjgkg? 9omfb 168@!8

78/

 

X X X X

UU

UU

WWW

W W W W 

G E H NM<rkg

ķ-ķrbgkg EG H N

\grgbob Efb#f %ķmķœbgrķ

\grgbob Efb#f Ifrfœborf

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Mgynonfhfbor 

*omfb 75+8+ Xojmrcj pgrgbob mgynonfhf novrosf8

*omfb 75+/+ I=/XIA Xojmrcj pgrgbob mgynonfhf ojtoirosf projsfp œokgsķ8

Xojmrcj pgrgbob mgynonfhfboro ðrjom cbgrgm I=/XIA =%eft mgynonfhf ojtoirosf vorfboefbfr8'gpķsķjng . tfpf ((7borfj mubbgjķbnķēķ eu ojtoiro5 fmf gnot fmf eft voyg efr gnot nðrt eft

mgynonfhf cbgrgm mubbgjķbgefbfr 9omfb 168=!8 Gjtoirono5 ‑o&g,bo$‖  ifrfœborfj eorgeor egēbgjkgsķ fbo eòtòj ((7borfj gyjķ gjng égbķœkgyg 4g?ķr 4gbo iobkosf sgēbgjķr8

7+5+ orf !Mgykgbķ" Mgynonfhfbor

Efbifborfj mgynonfhf novrosfjo sorf cbgrgm yòmbojnfēf vo 4or totfmboko sfjygbf fbo ðjhomf efbifborfj sgēg voyg scbg mgynķrķbnķēķ novro5 ‑sorf mgynonfhf‖  voyg ‑mgykgbķ mgynonfhf‖cbgrgm gnbgjnķrķbķr8 Mgykg fœbokf uyiubgjgj totfmboko sfjygbf fbo ioréomboœtfrfbnfēf féfj5mgynonfhfborno mubbgjķbgj totfmboko sfjygbf ‑mgynķrkg sf&ygbf‖  cbgrgm ng gnbgjnķrķbgefbfr8Efbifjfj sorf cbgrgm iðjnorfbkosf torhf4 onfboj yorborno5 mgykgbķ mgynonfhf s4f`t roifstor!novrobornoj `gyngbgjķbķr8

78

 

WNHbmHbmHbmHbm

NH  NN NE N G 

N N NW WW

Hbm

W G  WN WH WE 

\grgbob Porf Ifrfœborf

\grgbob Porf Éķmķœbgrķ

WNHbmHbmHbmHbm

N7  N< N5 N8 

N N NW  WW

O7O5

W8  W< W7 W5 

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  Mgynonfhfbor 

Xorf mgynonfhfborno5 fbm (( 4grfhfjnomf ((7borfj égbķœkg mcjuku efr ðjhomf ((7jfjégbķœkgsķjg iðro eobfrbojfr8 .fēor efr f`gno fbo5 4or totfmboko pgbsķ fbo efr ðjhomf ((7nomf

 efbifbor scjrgmf ((7boro gmtgrķbķr8

"frfœto eubujgj sorf efbifjfj totfmboko sfjygbf fbo sojmrcjf?obf cbgrgm éķmķœg gmtgrķbnķēķmgynonfhfborno fstojoj sgyķng (( mubbgjķbgefbfr8 Mubbgjķbghgm (( sgyķsķjg uyiuj ojtoiroborsoéfborom5 cbuœturubkgm fstojoj novro ioréomboœtfrfbfr8

Mgykgbķ mgynonfhfbor5 efbifjfj mgynķrķbkg yðjòjo iðro fsfkbojnfrfbfrbor8 Mgynonfhfbor efbifmgynķrķbkg yðjòjo iðro òé irup gbtķjng fjhobojoefbfr2

f% Xgēg mgykgbķ mgynonfhfbor5

ff% Xcbg mgykgbķ mgynonfhfbor5

fff% Xgēg%scbg mgykgbķ mgynonfhfbor8

7+5+7+ gg Mgykgbķ Mgynonfhfbor

Efbifborfj sorf cbgrgm yòmbojnfēf vo yòmbojoj efbifborfj mgynķrkg sfjygbborf fbo ((7borno sgēgncēru 4gromot ottfēf mgynonfhf novroborf5 ‑sgg mgykgbķ mgynonfhf‖ cbgrgm fsfkbojnfrfbfr8

. tfpf ((7borbo cbuœturubgj mgykgbķ mgynonfhf novrosfjno5 fbm totfmboko sfjygbf fbo ; ((7fjoL17 noēorf yòmbojfr 9omfb 168A!8 Efr scjrgmf totfmboko sfjygbf fbo5 E ((7fjo ; ((7fjnomf L17

noēorf gmtgrķbķr8

H ((7f Lt@7 gjķjngmf totfmboko sfjygbf fbo5 . ((7f fso Lt=7  gjķjngmf totfmboko sfjygbf fbo L17

mcjukujg muruburbgr8 t65 t@5 t=  gjbgrķjng ifrfœ efbifsf LO7 cbnuēujngj vo = gnot ((mubbgjķbnķēķjngj5 nðrt totfmboko pgbsķ efbifborfj egœtgj scjg mgynķrķbkgsķjķ sgēbgr8 tF gjķjngtòk ((7borfj éķmķœķ O7g murubkuœ cbur8

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9omfb 168F7ng bc<fm sokecbò iðròboj I=DA ojtoirosfjno5 sorf efbif ifrfœf féfj H\ 15 pgrgbob efbififrfœf féfj fso H\6 mcjtrcb ifrfœf mubbgjķbķr8 X Xoboht # soéko! ifrfœfjfj N1N   ygpķbkgsķybg H\6

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Mgynonfhfbor 

*omfb 75++ I=I= Gjtoiroborf fbo cbuœturubgj =%eft mgykgbķ mgynonfhf vo ?gkgj nfygirgkbgrķ8

*omfb 75+>+ I=DA Gjtoirosfjfj bc<fm sokecbò8

Ðr&om 7?  9omfb 168I8g7ng iðròboj = eft mgykgbķ mgynonfhf novrosfjo 1O1O! 6  efbifsfjfjyòmbojkosf sķrgsķjng cbuœgj cbgybgrķ fjhoboyobfk2

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Xgēngj fmfjhf eft L17 cbnuēujngj5 ((O7ķj . ifrfœfjo uyiubgjkgsķ ioromoj yojf noēor 17nfr8((O7g L17 uyiubgjkgsķ nurukujng> fbm ioboj mgynķrkg sfjygbf fbo efrbfmto ((OB1 noēorfjfgbķrmoj5 O éķmķœķ ((17fj . ifrfœfjo uyiubgjnķēķjngj ((1B O cbur 9omfb 168I8h!8

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Mgynonfhfbor 

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Mgynonfhfbor 

Kéòjhò eftfj LO7 cbkgsķ jonojf fbo5 ((O ifrfœfjo LO7 uyiubgjķr vo totfmboko sfjygbf fbo ((OB Onoēorfjo murubur8 Eu gjng> O éķmķœķ ((17fj . ifrfœfjo L17 noēorf uyiubgnķēķjngj ((1 B 1 vo1 éķmķœķ ((67jfj . ifrfœfjo LO7 uyiubgnķēķjngj ((6BO noēorborfjo sg4fp cbur8 .fēor efr noēfœfbo> ((O7ngmf efbif ((17o5 ((17nomf efbif fso ((67yo gmtgrķbķr8 Eu fœbokbor fbo sgēngj òé eftbfm

 efbif mgynonfhf novroyo yòmbojfr 9omfb 168I8n!8'òmbojohom efbifnomf nðrnòjhò eft L17 cbnuēujngj5 ((O7ķj . ifrfœfjo L17 uyiubgjķr8Mgynķrkg sfjygbf fbo ((67nomf efbif ((@7o mgynķrķbķr8 Xcjuétg5 ((O B 15 ((1 B O5 ((6 B 1 vo ((@

B O noēorborfjo sg4fp cbur8 9omfb 168I8o8!8 Eujuj gjbgkķ> nðrnòjhò eft scjujng = eftbfmsgyķjķj mgynķrķhķ novrosfjo yòmbojkosfnfr8

= eftbfm sgēg mgykgbķ mgynonfhf novrosfjnomf efbifborf éķmķœtgj gbkgm fstfycrsgm> = mgynķrkg pgbsķjķ ((O7g uyiubgkgkķ? vo ((@7òj @ éķmķœķjngmf efbifbor 4or mgynķrkg pgbsķ scjujngcmukgkķ? iorombfnfr8 &bm totfmboko pgbsķ fbo oj sgēngmf eftf toksfb onoj noēor @7toiðròbòrmoj5 nðrnòjhò pgbs fbo oj scbngmf noēor @7no ið?òmòr8

Ðr&om 5? = ((7toj cbuœgj sgēg mgykgbķ mgynonfhf novrosfjo 1OOO!6 efbifsfjfj yòmbojkosf

sķrgsķjng cbuœgj cbgybgrķ fjhoboyobfk8

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Mgynonfhfbor 

Egœbgjiķétg tòk ((7borfj LO7 cbnuēu mgeub onfbfrso5 fbm ioboj totfmboko pgbsķ fbo ; ((7fjo L17noēorf yòmbojfr8 Eu gjng nfēor éķmķœbgr LO7nķr8

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Mgynonfhfbor 

((7boro uyiubgjgj fbm noēor LO7 nķr8 Efrfjhf mgynķrkg pgbsķ fbo tòk ((7bor LO7 nurukujumcrurmoj5 fmfjhf pgbs fbo ((O éķmķœķ L17 noēorfjo murubur8

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Mgynonfhfbor 

WM ((7borfj égbķœkg projsfef> WMBOO voyg WMB11 mcjukbgrķjng mgynonfhf cbgrgmmubbgjķkķjķ ?crbgœtķrķr8 Eu jonojbo5 W%M ifrfœborf efr .G&/ mgpķsķ fbo efrboœtfrfbfrso> WMBO1voyg WMB1O cbgrgm 6 nuruk sð? mcjusu cbur8 WM ((5 eu mcjukbgrng . tfpf (( ifef égbķœgrgm>WBO fso BO vo WB1 fso B1 cbghgm œomfbno efr égbķœkg iðstorfr 9omfb 1681O8g!8

.ovroyo yòmbojkosf ioromoj efbifbor sķrgsķ fbo ((O7ķj vorf ifrfœfjo uyiubgjķrsg5 nðrnòjhò pgbsscjuhujng ((7borno> ((OB 15 ((1B O5 ((6B O vo ((@B 1 noēorborf cbuœur8

Mgynonfhfyo yòmbojoj noēorbor5 4or mgynķrkg sfjygbf fbo sgēg mgygr vo gbtķjhķ pgbs scjuhujng9omfb 1681O8e7nomf noēorbor crtgyg éķmgr8

7+5+5+ .bg Mgykgbķ Mgynonfhfbor

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Mgynonfhfbor 

&bm ioboj totfmboko sfjygbf fbo5 fbm efbif cbgj N1N noēorf oj mòéòm noēorbf eftf toksfb onoj .((7ujg yòmbojfr vo .B1 cbur8 Eu gjng nfēor (( éķmķœbgrķ NON nurukujngnķr8

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.ðrnòjhò totfmboko sfjygbf fbo .7yo yòmbojoj yojf efbif NON cbnuēujngj5 .BO noēorfjf gbķr8Eu gjng ;B1 cburmoj5 nfēor tòk éķmķœbgr NON noēorfjo sg4fptfr8

.ovrojfj totfmboko pgbsborķ fbo gbnķēķ scjuébgr tgebc 4gbfjo iotfrfbfrso5 9omfb 168118e7nomftgebc cbuœur8

Efr efbifjfj scbg mgykgbķ mgynonfhfboro yòmbojkosf5 (( sgyķsķ vo yòmbojohom efbifjfj egsgkgm sgyķsķjg egēbķnķr8 Efbifjfj tòkò ((7boro yòmbojnfmtoj scjrg5 iobohom 4or totfmboko pgbsķ fbo scbg mgykg fœbokf novgk onor vo yojf noēorbor LO7 cbgrgm mgeub onfbfr8

7+5+8+ gg $ .bg Mgykgbķ Mgynonfhfbor Ucrkgbno efbifjfj sgēg voyg scbg sgnoho efr yðjno mgynķrķbnķēķ mgynonfhfborfj ygjķjng5 eg?ķnurukbgrng efbifjfj sgēg voyg scbg mgynķrķbkgsķ fstojoefbfr8 Mgykgjķj yðjòjòj5 ombojojmgykg yðjò ifrfœf fbo eobfrbojnfēf sgēg%scbg mgynķrkgbķ mgynonfhf novrosf5 I=1D= ifefobokgjbgrbg ioréomboœtfrfboefbfr8

$grpkg vo eðbko fœbokborf5 mgynonfhfbornomf efbifjfj sgēg voyg scbg mgynķrķbkgsķ fboioréomboœtfrfboefbfr8 rjoēfj> O111!6 B I!1O sgyķsķ efr scbg mgynķrķbķrsg5 eu sgyķjķj fmf mgtķcbgj 111O!6 B 1=!1O  sgyķsķ obno onfbfr8 Eu nurukng5 4or4gjif efr sgyķjķj scbg efr egsgkgmmgynķrķbkgsķ sgyķjķj 6 fbo égrpķbkgsķ nokomtfr8 1OOO!6 B !1O sgyķsķjķj efr sgēg mgynķrķbkgsķfbo5 O1OO!6 B =!1O sgyķsķ obno onfbfr vo eu fœbok sgyķjķj 67yo eðbòjkosfjo mgrœķbķm iobfr8Eu fœbokborf ioréomboœtfrkom féfj 3X5 WM vo . tfpf ((7borfj mubbgjķbnķēķ mgynonfhfborno5

mubbgjķbgj ((7borfj murkg vo sfbko ifrfœborfjfj% eubujkgsķ ioromfr8Xgēg % scbg mgykgbķ mgynonfhf novrosf ebcm œokgsķ5 9omfb 168168g7ng iðròbkomtonfr8Mgynķrkg yðjò N1N fmoj5 sorf ifrfœtoj uyiubgjgj efbif sgēg ncēru yor noēfœtfrfr8 Mgynķrkgyðjò ifrfœfjo uyiubgjgj NON efbifsf fbo5 sorf efbif ifrfœfjo uyiubgjgj efbif scbg ncērumgynķrķbķr8

Gjtoiroyo5 efbifjfj mgynķrķbkg yðjòjò eobfrboyoj sfjygb fbo efrbfmto5 vorf ifrfœfjfj uyiuj cbgjtgrg`tgj uyiubgjkgsķ ioromtfēf ujutubkgkgbķnķr8

Ebcm œokgsķ vorfboj sgēg 0 scbg mgynķrkg fœbokf5 9omfb 168168e7nomf bc<fm novro fboioréomboœtfrfboefbfr8 Efbif mgynķrkg yðjòjo5 mcjtrcb ifrfœf cbgrgm nòœòjòboefbohom Lsgēg 0scbg7 mgynķrkg ifrfœfjfj noēorfjo iðro mgrgr vorfbfr8

7/8

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Mgynonfhfbor 

Xgēg 0 scbg mgynķrkg yðjò soéfhf ifrfœfjfj N1N ygpķbkgsķ fbo5 sgēg mgynķrkg fœbokfioréomboœtfrfbfr8 Mcjtrcb ifrfœfjfj N1N cbkgsķ sorf vorf ifrfœfjfj M 1  mgpķsķjķj éķmķœķjngið?òmkosfjf vo efbifjfj ; ((7sfjo uyiubgjkgsķjķ sgēbgr8 ; (( éķmķœķjngmf efbif5 M 6ò?orfjnoj E ((7sfjo gmtgrķbķr vo eu œomfbno efbif . ((7sfjo ncēru mgynķrķbķr8 Eu fœbok5 sgēg

mgynķrkg fœbokfjo mgrœķbķm iobfr8Mgynķrkg yðjò ifrfœfjfj NON ygpķbkgsķ fbo5 sorf vorf ifrfœf M  mgpķsķ ò?orfjnoj . ((7sfjouyiubgjķr8 . ((7f éķmķœķjngmf efbif5 efr scjrgmf mgynķrkg pgbsķ fbo M I ò?orfjnoj H ((7sfjouyiubgjķr8 H ((7sfjnomf efbif M F ò?orfjnoj E ((7sfjo5 E ((7sfjnomf efbifno M A ò?orfjnoj ;((7sfjo gmtgrķbķr8 ;jbgtķbgj cbgybgr5 scbg mgynķrkg fœbokfjf crtgyg éķmgrķr8

Xgēg mgynķrkg fœbokfjno éķmķœ @7noj gbķjķrmoj5 scbg mgynķrkg fœbokfjno O7ngj gbķjķr8

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Mgynonfhfbor 

5+ Efb#f Ifrfœ $ %ķmķœķ&g Iro Mgynonfhfborf& ķ&ķ-bg&nķrķbkgsķ

(grmbķ tfp mgynonfhfbor5 efbifjfj mgynonfhfyo yòmbojkosf vo efbifjfj éķmķœbgrngj gbķjkgsķœombfjo iðro irupbgjnķrķbgefbfrbor8 Eu irupbgjnķrkgng nðrt `grmbķ mgynonfhf tfpf crtgyg éķmgr2

f% Xorf ifrfœ % sorf éķmķœbķ mgynonfhfbor5ff% Xorf ifrfœ % pgrgbob éķmķœbķ mgynonfhfbor5

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Xgēg voyg scbg mgykgbķ mgynonfhfborno5 fbm ((7jfj vorf ifrfœfjnoj uyiubgjgj efbif scj((7jfj éķmķœķjngj gbķjķrsg5 ‑sorf #frfœ $ sorf éķmķœbķ‖ mgykgbķ mgynonfhf obno onfbfr8 9omfb 168Avo 168I7no gjbgtķbgj cbgybgr5 sorf ifrfœ vo sorf éķmķœķj mubbgjķbnķēķ mgykgbķ mgynonfhf sfstokfjoðrjom cbgrgm vorfboefbfr8 Efbif trgjs`orfjno crtgyg éķmgj irupbgr5 9omfb 168167nomf projsfp

œokg fbo gjbgtķbgefbfr89omfb 1681@8g7ng efbifjfj sorf cbgrgm ;7ngj ifrfbfp5 éķmķœķj yfjo sorf cbgrgm .7noj gbķjnķēķ sorfifrfœ % sorf éķmķœbķ mgykgbķ mgynonfhf novrosf iðròbkomtonfr8 HJ,X =I@1E ojtoirosf5 sorfifrfœ # sorf éķmķœ fœbokfjf ioréomboœtfroj efr obokgjnķr 9omfb 1681@8e!8 =I@1 ojtoirosfjno =gnot F= eft mgykgbķ mgynonfhf eubujkgmtgnķr8 Eu ojtoironomf mgynonfhfbor egēķksķ? œomfbnoF= eftf sgmbgygj mgynonfhf cbgrgm mubbgjķbgefbohoēf ifef5 = tgjosf sorf egēbgjgrgm 6AF eftmgynonfhf cbgrgm mubbgjķbgefbfr 9omfb 1681@8h!8

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  Mgynonfhfbor 

Efbifborfj sorf cbgrgm ifrfbfp sorf cbgrgm éķmķœtgj gbķjnķēķ nfēor efr ojtoiro5 I=D1; eftmgykgbķ mgynķrķhķ ojtoirosfnfr 9omfb 1681=8g!8 'gpķsķjng 3%X ((7borfj mubbgjķbnķēķ euojtoirojfj fé ygpķsķ 9omfb 1681=8e7no iðròbkomtonfr8

I=D1 ojtoirosfjno fmf gnot vorf ifrfœf eubujkgmtgnķr ; vo E!8 -orf ifrfœbornoj efrfjnojuyiubgjķr fmoj5 nfēor ifrfœfj N1N noēorfjo sg4fp cbkgsķ ioromfr8 Gjtoironoj vorf éķmķœķ5 I voygtorsf cbgj I éķmķœbgrķjķj efrfsfjnoj gbķjgefbfr8

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((7borno eubujgj efbifborf efrbfmto gyjķ gjng! cmukgm kòkmòjnòr8 Xorf ifrfœ # pgrgbobéķmķœbķ mgykgbķ mgynonfhf novrosf5 efr 4gttgj ioboj efbifborf efrnoj écm 4gttg ngēķtkg fœbokfjfno iðrnòēòjnoj nokubtfpbo^oro eoj?otfboefbfr8

I=1F= ojtoirosf5 4or efr (( éķmķœķjg 4grfhf cbgrgm ubgœķbgefboj eft sorf ifrfœ # pgrgbob éķmķœfœbokf sgēbgygj mgykgbķ mgynonfhf ojtoirosfnfr 9omfb 1681A8e!8

;éķm œokgsķ 9omfb 1681A8h7no iðròboj I=1F= ojtoirosfjno eubujgj ; vo E ifrfœborfjo sg4fpL-G7 mgpķsķ5 tom efr sorf ifrfœ yorfjo ; vo E ifrfœborfjfj sorf cbgrgm mubbgjķbkgsķjķ sgēbgr8 :om

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Mgynonfhfbor 

 

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5+8+ \grgbob Ifrfœ $ orf %ķmķœbķ Mgykgbķ Mgynonfhfbor

"frfœ efbifborfjfj pgrgbob ifrfœbor ygrnķkķybg gyjķ gjng tòk ((7boro yòmbojnfēf5 eujg mgrœķbķméķmķœbgrķj sorf cbgrgm tom%tom cmujnuēu mgykgbķ mgynonfhf5 ‑\grgbob #frfœ 3 sorf éķmķœbķmgykgbķ mgynonfhf7 cbgrgm fsfkbojnfrfbfr8 Efbifborfj ncērungj ((7boro yòmbojoefbnfēf eunovroborno5 éķmķœ cbgrgm ygbjķ?hg oj scjngmf ((7fj éķmķœķjg orfœfboefbfr 9omfb 1681F8g!8

\grgbob ifrfœ % sorf éķmķœbķ mgykgbķ mgynonfhf novrosf5 efrnoj `g?bg ifrfœtomf efbifborf tom efr

4gttg eobfrbf sķrg fbo vorkosf jonojfybo kubtfpbo^or7o eoj?otoefbfr8I=1FA ojtoirosf5 pgrgbob ifrfœ # sorf éķmķœbķ eft mgykgbķ mgynonfhf ojtoiroborfjo efr ðrjomtfr9omfb 1681F8e!8 Eu ojtoirono ygbjķ?hg I ((7sfjfj éķmķœķjg orfœfboefbfr8 Eu ojtoironomf 4or

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H\1 vo H\6 ifrfœborfjnoj efrfsfjfj mgykg fœbokf totfmboko ifrfœf cbgrgm mubbgjgefbohoēf I=1FAojtoirosfjno5 .s ifrfœf fbo sorf efbif ifrfœf kòkmòjnòr8

\/ yòmboko ifrfœfjfj L17 ygpķbkgsķ fbo5 pgrgbob ifrfœbornomf efbifboro egēbķ cbgrgm L-G.G&/7mgpķbgrķ fbotfko ioéorom5 nurukg 4g?ķr 4gbo iobfr8 ((7bor5 L-G.G&/7 mgpķbgrķjķj éķmķœķjķjgbghgēķ noēoro iðro yòmbojfrbor sķ`ķrbgjķr voyg muruburbgr!8

 

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Mgynonfhfbor 

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\grgbob ifrfœtomf noēor L17 fso5 gsojmrcj murkg XN! ifrfœfjo egēbķ cbgj L-G.G&/7 mgpķsķéķmķœķ LO7 cbur vo L-G.G&/7 mgpķsķjg egēbķ eubujgj (( L17 noēorfjo murubur8 \grgbobifrfœtomf noēor LO7 fso> pgrgbob ifrfœo egēbķ L-G.G&/7 mgpķsķ éķmķœķ L17 noēorfjf gbķr8 L17noēorfjo sg4fp éķmķœķj egēbķ cbnuēu gsojmrcj sfbko 3N! ifrfœfjo egēbķ L-G.G&/7 mgpķsķjķj4or fmf ifrfœf L17 vo eujg egēbķ cbgrgm éķmķœķ LO7 cbghgēķjngj5 fbifbf (( Lsķ`ķrbgkg7 fœbokfjo tgefmgbķr vo LO7 cbur8 Eu œomfbno5 ifrfœbornomf efbifbor pgrgbob cbgrgm mgykgbķ mgynonfhf novrosfjo

yòmbojfr8((7boro yòmbojoj efbifbor5 4orefr mgynķrkg sfjygbf fbo sgēg ncēru mgynķrķbķr8 +or mgynķrkgfœbokf scjuhujng éķmķœtgj efr eftbfm efbif cmujur8 ,mujgj efbifbor5 ((7boro yòmbojoj efbifborftoksfb ottfmborfjnoj5 pgrgbob efbifbor sorf cbgrgm cmujkuœ cbur8 Eu œomfbnomf vorf nðjòœòkò5

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5+/+ \grgbob Ifrfœ $ \grgbob %ķmķœbķ Mgykgbķ Mgynonfhfbor

Efbifborfj gyjķ gjng pgrgbob cbgrgm yòmbojkosfjf vo eobfrbf fœbokbornoj scjrg tòk éķmķœbgrggyjķ gjng orfœtfrfbkosfjf sgēbgygj mgynonfhf novroborf5 ‑pgrgbob #frfœ 3 pgrgbob éķmķœbķmgykgbķ mgynonfhf‖ cbgrgm fsfkbojnfrfbfr 9omfb 1681I8g!8

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Mgynonfhfbor 

Mgykgbķ mgynonfhf5 ygbjķ?hg pgrgbob ifrfœ # pgrgbob éķmķœ ð?obbfēfjo sg4fp cbgefbohoēf ifefI=1I= ojtoirosf!5 4ok sorf 4ok no pgrgbob ifrfœo vo pgrgbob éķmķœg sg4fp cbgefbfr I=1Iojtoirosf ve8!8 9omfb 1681I8e7no iðròboj I=1I= ojtoirosf fbo5 F eftbfm efbif gyjķ gjng .O % .A

ifrfœborfjnoj novroyo yòmbojfp5 O%A pgrgbob éķmķœbgrķjngj cmujgefbfr8 Mgynonfhfborfj eu

mubbgjķk œombf5 efbifborf mķsg sòrobf sgmbgkgm féfj eobbom cbgrgm mubbgjķbkgbgrķjg uyiuj efrygpķ cbuœturur8

 

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\grgbob ifrfœbornomf efbifborfj yòmbojkosf féfj LHbm7 ifrfœf mubbgjķbķrmoj5 tòk ((7borfjsķ`ķrbgjkgsķ féfj J3 ifrfœf mubbgjķbķr8 Ucrkgbno éķmķœbgr pgrgbob cbgrgm cmujkgsķjg rgēkoj5uyiuj egēbgjtķ vo ygbjķ?hg A  éķmķœķjķj mubbgjķbkgsķ fbo efbifborfj éķmķœtgj sorf cbgrgmcmujkgsķ kòkmòjnòr 9omfb 1681I8h!8

\grgbob ifrfœ % pgrgbob éķmķœg sg4fp nfēor efr ojtoiro I=1DA ojtoirosfnfr8 I=1DA ojtoirosfjo efbifborfj sorf cbgrgmtg yòmbojkosf kòkmòjnòr8

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Mgynonfhfbor 

5++ Lmf (&b) Mgykgbķ o ;grmbķ Ifrfœ $ %ķmķœ M.k,f&gsy.&b< Mgynonfhfbor

Mgynonfhf ojtoiroborf ygpķbgj irupbgjnķrkgbgrngj ygbjķ?hg efrfsfjo ifroj fœbokborfygpgefbohoēf ifef5 irupbgjnķrkgbgrngmf fœbokbornoj efrnoj `g?bgsķjķ ioréomboœtfroefbfrbor8

‑Ò&forsgb Mgynonfhfbor‖  cbgrgm fsfkbojnfrfboj eu obokgjbgrng5 `grmbķ `cjmsfycjbgrngjfstojfbojf soéko fœbokf ombojoj yojf ifrfœbor fbo sgēbgjķr8

Eu tòr mgynonfhfborno5 mgykg yðjò fstojfboj yðjno gygrbgjgefbohoēf ifef5 efbif ifrfœ % éķmķœœombf no mubbgjķbghgm novroyo iðro œomfbbojnfrfboefbfr8

&mf yðjbò mgynķrkg fœbokfjf ioréomboœtfroj ojtoiroboro ðrjom cbgrgm I=1I ojtoirosfvorfboefbfr8

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+ok sorf5 4ok no pgrgbob efbif ifrfœfjo fkmgj tgjķygj I=1I mgynonfhf ojtoirosf bc<fmsokecbò5 9omfb 16818g7ng iðròbkomtonfr8 \G pgrgbob ojgebo % pgrgbob yotmf! vo XG sorfgbojgebo # sorf yotmf! ifrfœborf fbo efbif ifrfœ œombf soéfbfr8 \ O  # \@  ifrfœborfjfj pgrgbob ifrfœbor

cbgrgm mubbgjķbnķēķ ojtoirono5 .X ifrfœf fbo efbifborfj sorf cbgrgm yòmbojkosf kòkmòjnòr8$ķmķœbgr fso pgrgbob cbgrgm O # @7noj gbķjķr8 XGB1 vo \GBO cbnuēu gjng sorf efbif ifrfœfyotmfbojnfrfbfrmoj5 XGBO vo \GB1 nurukujng pgrgbob yòmboko ioréomboœtfrfbfr8

Gjtoironomf mgynķrkg fœbokfjfj yðjò X3 vo X/ ifrfœborf fbo eobfrbojfr8 Xorf efbif ifrfœfjfj X/X4f`t /o`t! uyiubgkgsķ fbo efbif scbg ncēru mgynķrķbķrmoj5 ifrfœ efbifsfjfj X37yo X4f`t 3fit4!uyiubgjkgsķ fbo efbif sgēg ncēru mgynķrķbķr8 Xcbg mgykgng éķmķœ O7ngj gbķjķrmoj5 sgēgmgykgng @7noj gbķjķr8

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Mgynonfhfbor 

8+ Mgykgbķ Mgynonfhf y#<bgkgbgrķ

Mgykgbķ mgynonfhfborfj `grmbķ égbķœkg œomfbborf eubujkgsķ jonojf fbo5 écm éoœftbf uyiubgkggbgjbgrķjng mubbgjķbkgbgrķ kòkmòjnòr8 Eujbgrngj efrmgé tgjosfjf fjhoboyobfk8

8+7+ Hgkg& Iohfmkosf

Xorf ifrfœ % sorf éķmķœbķ mgykgbķ mgynonfhfbor5 mgynonfhfno mubbgjķbgj nuruk sgyķsķ vototfmboko sfjygbfjfj `cjmsfycju cbgrgm òrotfboj ?gkgj iohfmkosf jonojf fbo5 ?gkgjiohfmkosf òrotkom gkghķybg mubbgjgefbfrbor8

Xorf ifrfœ % sorf éķmķœg sg4fp eftbfm I=D1; mgykgbķ mgynonfhf ojtoirosf5 9omfb 1681D8g7ngmfifef egēbgjtķ fbo ?gkgj iohfmkosf òrotfhf cbgrgm mubbgjķbgefbfr8 ; vo E sorf ifrfœborfjfj efrbfmtomubbgjķbnķēķ novroyo5 sorf vorf ifrfœfjfj uyiubgjkgsķ nurukujng5 fbm ioboj mgynķrkg sfjygbffbo vorf fbm ((7yo yòmbojfr 9omfb 1681D8e!8

'òmbojoj efbif5 4or efr mgynķrkg sfjygbf fbo mgynķrķbgrgm5 eobfrbf efr sòro scjuhujng éķmķœ((7sfjno cmujur8 .ovrono 1 J+?7bfm mgynķrkg sfjygbf uyiubgjkgsķ nurukujng5 ojtoirono (( eubujkgsķ jonojf fbo5 ?gkgj iohfmkosf ^1 ¿sj B ¿sj cbgrgm cbuœur8

Mgynķrkg sfjygbfjfj `romgjsķjķ noēfœtfrkom surotf fbo5 cbuœgj ?gkgj iohfmkosfjfj sòrosfnoēfœtfrfboefbfr8 ;yrķhg mgykgbķ mgynonfhfborf mgsmgt egēbgygrgm5 ng4g u?uj ?gkgjiohfmkoborf obno otkom kòkmòjnòr8

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  Mgynonfhfbor 

8+5+ Mgykgbķ Mgynonfhf&f& Ngbmg gyķhķ 4bgrgm M<bbg&ķbkgsķ

Xorf ifrfœ % sorf éķmķœg sg4fp mgykgbķ mgynonfhfno5 éķmķœķj sorf efbif ifrfœfjo egēbgjkgsķ fbo5

‑Ngbmg gyķhķ‖ novrosf obno onfbfr8 Xorf ifrfœ%pgrgbob éķmķœg sg4fp mgykgbķ mgynonfhfno fso5 ojyòmsom noēorbf eftf toksfb onoj éķmķœķj sorf ifrfœo egēbgjkgsķ fbo 4gbmg sgyķhķ novrosfcbuœturubur8

I=1DA nðrt eftbfm mgykgbķ mgynonfhf ojtoirosf5 9omfb 1686O8g7ngmf ifef egēbgjgrgm5 4gbmgsgyķhķ cbgrgm mubbgjķbgefbfr8

Gjtoirono iorombf egēbgjtķ oj yòmsom noēorbf éķmķœķj sorf ifrfœo egēbgjkgsķ! ygpķbnķmtgjscjrg 1OOO!6 efbifsf pgrgbob yòmboko ifrfœborfjo uyiubgjķrsg5 fbm totfmboko sfjygbf fbo efrbfmto

 efbifbor pgrgbob cbgrgm ojtoiroyo yòmbojfr8 Efbifjfj yòmbojkosfjnoj scjrg uyiubgjgjmgynķrkg sfjygbborf fbo5 éķmķœtgmf efbif 9omfb 1686O8e7nomf ?gkgj nfygirgkķjng iðròbojnoēfœfkf iðstorfr8 Eu nurukng novro5 4gbmg sgyķhķ novrosf fœbovfjf ioréomboœtfrfr8

Mgykgbķ mgynonfhf novrosfjno5 éķmķœtgj ifrfœo ncēru cbgj egēbgjtķjķj oj scj ((7jfj éķmķœķ

yorfjo 7 noj gbķjgrgm ygpķbkgsķ fbo Wc4jscj sgyķhķ novrosf obno onfbfr8 Eu egēbgjtķ fbomgykgbķ mgynonfhfjfj Wc4jscj sgyķhķ cbgrgm mubbgjķbgefbohoēf crtgyg éķmgr8

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Mgynonfhfbor 

*omfb 75+52+ I=1DA Gjtoirosfjfj 4gbmg sgyķhķ cbgrgm egēbgjtķsķ vo = eftbfm 4gbmg sgyķhķ éķmķœ sfjygbœomfbborf88+8+ orfno& \grgbobo :orf 6&)œ)k)

Xorf vorf fbotfœfkf5 efr sgyķsgb sfstoknoj nfēorfjo vorf fbotfœfkf sķrgsķjng iorombf egēbgjtķjķj4gt sgyķsķjķ g?gbtkgm gkghķybg mubbgjķbķr8 rjoēfj5 eftbfm efr efbifjfj sorf cbgrgm fbotfbkosftom efr 4gttgj ygpķbgefbfrmoj5 gyjķ efbifjfj pgrgbob cbgrgm fbotfbkosf féfj 4gt iorombfnfr8 Euð?obbfm jonojf fbo5 efbifsgygrbgr vo kfmrcfœbokhfbor grgsķjngmf vorf fbotfœfkfjfj écm 4ķ?bķcbkgsķjķj ioromkonfēf nurukbgrng5 sorf 4georboœko mubbgjķbķr8

Efbifsgygr voyg kfmrcfœbokhf tokobbf sfstokborno vorf fbotfkfjfj sorf cbgrgm ygpķbkgsķnurukujng5 sorf cbgrgm fbotfboj efbifborfj fœbojoefbkosf féfj pgrgbob efbifboro nðjòœtòròbkosfioromfr8 Xorfnoj pgrgbobo vorf nðjòœòkò5 mgykgbķ mgynonfhfbor mubbgjķbgrgm ygpķbgefbfr8

Xorf % pgrgbob vorf nðjòœòkò sķrgsķjng5 sorf efbif fbo efrbfmto egœbgjiķé vo eftfœf toksfb onoj efbifborfj fbotfbkosf ioromfr8 Eu jonojbo5 sorf efbif fbotfkfjno egœbgjiķhķ iðstorkom féfj efr eftbfm LO7 efbifsf5 eftfœf iðstorkom féfj fmf eftbfm L17 efbifsf mubbgjķbķr8

9omfb 168617no5 fmf mgykgbķ mgynonfhf mubbgjķbgrgm ioréomboœtfrfboj5 sorf%pgrgbob vorfnðjòœtòròhò novrosf projsfp œokgsķ iðròbkomtonfr8 Egsftboœtfrfbkfœ novroyo 9omfb 168667noiðròboj eftbfm vorf mķskķ eubujgj tcpbgk 11 eft! sorf efbifjfj uyiubgjkgsķ nurukujngnovrojfj égbķœkgsķjķ ð?otboyobfk2 Egœbgjiķé efbifsf cbgrgm mubbgjķbgj eftfj iobkosf fbo5mcjtrcb ((7sf L17 noēorfjo murubur vo eu noēor LHbm7 sfjygbf òrotohfjf yotmfbojnfrfr8'otmfbojnfrfboj LHbm7 sfjygbf òrotohf5 totfmboko sfjygbf òrotkoyo egœbgr8 Krotfboj sfjygb5 vorfifrfœf mgynonfhf vo 7o eðbòhò novroboro uyiubgjķr8

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Mgynonfhfbor 

*omfb 75+57+  Mgykgbķ mgynonfhf mubbgjķbgrgm ygpķbgj sorf # pgrgbob vorf nðjòœòkò projsfp œokgsķ8

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Mgynonfhfbor 

*omfb 75+55+ Xorf # \grgbob vorf nðjòœòkò fœbokf ?gkgjbgkg nfygirgkbgrķ8

:otfmboko sfjygbf òrotohf novrosfjno òrotfboj LHbm7 sfjygbf5 sorf vorf fbo gyjķ `romgjsg sg4fptfr8Krotfboj LHbm7 sfjygbf fbo5 fbm vorf eftf vorf mgynonfhfsfjo yòmbojfr8 eftbfm . I%.O! sorf efbif5vorf ifrfœ mgynonfhfsfjno sorf cbgrgm mgynķrķbķr8 :gmfp onoj Hbm sfjygbborf fbo5 sorf cbgrgm ioboj

 efbifbor sķrgsķ fbo vorf ifrfœ mgynonfhfsfjo yòmbojfr8

8 totfmboko sfjygbf Hbm! scjuhujng5 7o eðbòhò novrojfj :H éķmķœķjngmf L-G7 mgpķsķjķjéķmķœķ mķsg efr sòro L17 noēorfjf gbgrgm totfmboko pgbsķ cbuœturur8 ,buœgj totfmboko pgbsķ :H%Hbm!5 vorf éķmķœ mgynonfhfsfjf totfmbor vo vorf ifrfœ mgynonfhfsf éķmķœbgrķjngmf eftbfm efbifjfjéķmķœ mgynonfhfsf pgrgbob ifrfœborfjnoj mgynonfhfyo yòmbojkosfjf sgēbgr8 L:H%Hbm7 totfmboko

 pgbsķ5 gyjķ gjng tom%pgbs òrotohfjf totfmbor8 :otfmbojoj sfjygb òrotohf mķsg sòrobf efr pgbs òrotfr8Krotfboj pgbs5 7o eðbòhò novronomf sgyķhķyķ vo gyjķ gjng mcjtrcb ((7fjf sķ ķ̀rbgygrgmtotfmboko sfjygbf òrotohfjf yotmfsf?bojnfrfr8

Xorf # \grgbob nðjòœtòròhò novro5 géķmbgjgj cbgybgrngj scjrg nfēor efr 11 eftbfm efbifyf

gbkgyg 4g?ķrnķr8 .ovro fbm iobohom egœbgjiķé eftfjf eombor8

8+/+ &forsgb Gso&mr.& Gbķhķ :orfhf

Efbifsgygr vo kfmrcfœbokhf tokobbf sfstokbor vorf iðjnorfkf vo gbķkķ fœbokfjno iojobbfmbo pgrgbob 4georboœko sfstokfjf mubbgjķrbgr8 Eujujbg eorgeor5 eu sfstokbor éovro efrfkborf fbovorf gbkg 0 iðjnorko fœbokfjno vorf 4georboœko œombf cbgrgm sorf `crku mubbgjķrbgr8 \grgbobvo sorf 4georboœko œomfbborf grgsķjng nðjòœòkò sgēbgkgm gkghķybg5 L)jfvorsgb gsojmrcj gbķhķ

 # vorfhf )jfvorsgb ;syjh4rcjcus 3ohofvor :rgjskfttor # );3:!7 cbgrgm fsfkbojnfrfbojgrgefrfk obokgjķ mubbgjķbķr 9omfb 1686@!8

*omfb 75+588 )jfvorsgb gsojmrcj gbķhķ vorfhf grgefrfk obokgjķ mubbgjķkķ8

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  Mgynonfhfbor 

);3: grgefrfk obokgjķ5 sorf # pgrgbob vorf nðjòœòkò mķskķjng géķmbgjgj sorf # pgrgbob vorfnðjòœtòròhò fbo efrbfmto5 pgrgbob # sorf vorf nðjòœtòròhò novrosf féorfr 9omfb 1686=!8 -orfycbu5 );3: fbo kfmrcfœbokhfbf sfstok grgsķjng vorf tgœķjkgsķjķ sgēbgygj pgrgbob 4gtbgrsotfnfr8 :gkpcj eu``or!5 vorf mgynonfhfbor fbo vorf tgœķtķ grgsķjng grgefrfk obokgjķnķr8

Xorf `crkgttgmf vorfborf gbgj L);3:75 gbnķēķ vorfyf pgrgbob œombo nðjòœtòròr vo cbuœgj efbifyfsfstok vorf ycbu ò?orfjo yorboœtfrfr8 Xorf%pgrgbob nðjòœtòrko fœbokfjno 9omfb 168617no vorfbojsorf ifrfœ%pgrgbob éķmķœbķ mgynonfhf novrosf mubbgjķbgefbfr8 ;yrķhg5 sfstok vorf ycbujngj pgrgbob`crkgttgmf vorfyf gbgj L);3:75 gbnķēķ vorfyf sorf `crkg nðjòœtòròr vo vorfyf éovro efrfkobokgjbgrķjg iðjnorfr8

\grgbob%sorf vorf nðjòœòkò féfj 9omfb 1681F7ng vorfboj pgrgbob ifrfœ%sorf éķmķœbķ mgynonfhfnovrosf mubbgjķbgefbfr8

*omfb 75+5/+ :okob L);3:7 ebcm œokgsķ8

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Mgynonfhfbor 

Oomrgrbgkg o %gbķœkg .r<bgrķ

7+ LMgynonfhfborf7 tgjķkbgyķjķ?8

5+ Mgynonfhfborf efbifjfj yòmbojkosfjo iðro vo efbif ifrfœ 0 éķmķœķjg iðro sķjķ`bgjnķrķjķ?8

8+ L\grgbob mgynonfhfyf7 tgjķkbgyķjķ?8

/+ Xojmrcj pgrgbob mgynonfhf novrosf éf?orom égbķœkg projsfefjf mķsghg géķmbgyķjķ?8

+ ;sojmrcj pgrgbob mgynonfhf novrosfjfj égbķœkg projsfefjf géķmbgyķjķ?8

>+ LXorf mgynonfhf7 torfkfjf tgjķkbgygrgm57mgynķrkg sfjygbf7jfj mubbgjķbkg yorfjfgéķmbgyķjķ?8

0+ Xorf mgynonfhfborf5 efbif mgynķrkg yðjòjo iðro sķjķ`bgjnķrķjķ?89+ Xgēg mgynķrkgbķ mgynonfhf7yf tgjķkbgygrgm5 sgēg mgynķrkg fœbokfjf œomfbbo géķmbgyķjķ?8

=+ +ok sorf5 4okno pgrgbob vorf ifrfœfjo sg4fp ojtoiroborno cbuœgj cbgybgrķ ðrjom ò?orfjnogéķmbgyķjķ?8

72+ Ké ((7yo sg4fp efr sgēg mgykgbķ mgynonfhfno efbif yòmbojkosf fœbokfjf œomfbbogéķmbgyķjķ?8

77+ .ðrt ((7noj koyngjg ioboj sgēg mgykgbķ mgynonfhfyo5 L1OOO7 efbifsfjfj ifrfœ efbifsfcbgrgm uyiubgjkgsķ nurukujng I8 totfmboko pgbsķ scjuhujng ((7borno koyngjg iobohomnoēorborf tgebc cbgrgm iðstorfjf?8

75+ LXcbg mgykgbķ mgynonfhf7 novrosfjf tgjķkbgygrgm5 égbķœkgsķjķ œomfbbo géķmbgyķjķ?8

78+ Xcbg mgykgbķ mgynonfhf novrosfjo = (( eubujgj! 1O11!6 efbifsfjfj yòmbojkosf fœbokfjfœomfbbo géķmbgyķjķ?8

7/+ 1O11!6  efbifsfjfj yòmbò cbnuēu scbg mgykgbķ mgynonfhf novrosfjo uyiubgjgj 68 totfmbokosfjygbf scjujng yojf yòmbojoj efbifborf eubuju?8

7+ Xgēg 0 Xcbg mgykgbķ mgynonfhf novrosfjno ioréomboœtfrfboefbohom cbgj grftkotfm fœbokborfgéķmbgyķjķ?8

7>+ Xgēg 0 Xcbg mgynķrkg fœbokfjf ebcm œokg ò?orfjno géķmbgyķjķ?8

70+ Xgēg 0 Xcbg mgynķrķhķ novrosf bc<fm novrosfjf éf?orom5 égbķœkgsķjķ? géķmbgyķjķ?8

79+ Efbif ifrfœ # éķmķœķjg iðro mgynonfhfborf sķjķ`bgjnķrķjķ?8

70

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  Mgynonfhfbor 

7=+ Xorf ifrfœ # sorf éķmķœbķ mgynonfhf projsfp œokgsķjķ éf?orom5 égbķœkgsķjķ géķmbgyķjķ?8

52+ I=D1 ojtoirosf iojob ð?obbfmborfjf géķmbgyķjķ?8

57+ Xorf ifrfœ # pgrgbob éķmķœbķ mgynonfhf novrosfjf œomfbbo géķmbgyķjķ?8

55+ I=1F= ojtoirosfjfj iojob ð?obbfmborfjf ebcm œokg fbo géķmbgyķjķ?8

58+ \grgbob ifrfœ # sorf éķmķœbķ mgynonfhf novrosfjf mķsghg géķmbgyķjķ?8

5/+ I=1FA ojtoirosf fé ygpķsķjķ éf?orom5 mubbgjķkķjķ ð?otboyfjf?8

5+ \grgbob ifrfœ # pgrgbob éķmķœbķ mgykgbķ mgynonfhf projsfefjf géķmbgyķjķ?8

5>+ I=1I= ojtoirosf iojob ð?obbfmborfjf mķsghg ð?otboyfjf?8

50+ L)jfvorsgb Mgynonfhfborf7 tgjķkbgyķjķ?8

59+ I=1I ojtoirosf ð?obbfmborfjf ð?otboyfjf?8

5=+ I=1I ojtoirosfjf5 pgrgbob yòmboko vo scbg mgynķrkg fœbokfjf ioréomboœtfrohom œomfbno

tgsgrbgyķjķ?882+ I=1I ojtoirosfjf 4gbmg sgyķhķ cbgrgm egēbgyķjķ?5 égbķœkg projsfefjf ð?otboyfjf?8

87+ Mgykgbķ mgynonfhf uyiubgkg gbgjbgrķjg @ gnot ðrjom vorfjf?8

85+ Mgykgbķ mgynonfhfjfj ?gkgj iohfmkosf gkghķybg mubbgjķbkggsķjķ ðrjom novro fbogéķmbgyķjķ?8

88+ Mgykgbķ mgynonfhfjfj 4gbmg sgyķhķ cbgrgm mubbgjķbkgsķjķ ðrjombo géķmbgyķjķ?8

8/+ Mgykgbķ mgynonfhf novrosf fbo Wcj4scj sgyķhķ novrosf cbuœturgrgm5 égbķœkg projsfefjfð?otboyfjf?8

8+ Efbifjfj sorfnoj pgrgbobo nðjòœòkòjòj iorombf cbnuēu yorbor jorobornfrY

8>+ Xorf # \grgbobo vorf nðjòœòkòjò ioréomboœtfroj novrojfj projsfp œokgsķjķ éf?orom5égbķœkgsķjķ ð?otboyfjf?8

80+ \grgbob % Xorf vorf nðjòœòkò féfj iorombf novrojfj projsfp œokgsķjķ éf?fjf?8

89+ Kjfvorsgb gsojmrcj gbķhķ # vorfhf );3:! obokgjķjķj fœbovfjf géķmbgyķjķ?8

8=+ L);3:7 obokgjķjķj ebcm œokgsķjķ éf?orom5 ygptķēķ fœbokf ð?otboyfjf?8

/2+ Mgykgbķ mgynonfhfjfj mbgvyo mcnbgyķhķ cbgrgm mubbgjķkķjķ grgœtķrķjķ?8

79

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Mgynonfhfbor  7=

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Eobbom (Ag`ķzg)

Novroborf (Kokcrfos)

Gkgébgr

 

Eobbomborno mubbgjķbgj torfkborf tgjķkbgkgm 

 

Eobbomborno ioréomboœtfrfboj tokob fœbokborf géķmbgkgm 

 

Eobbomborf sķjķ`bgjnķrgrgm, eobbom éoœftborfjf iðstorkom 

  Kgjyotfm eobbomborf notgybgjnķrkgm vo kgjyotfm eobbomborfj égbķœkg projsfpborf fbo éoœftborfjfgéķmbgkgm 

  Vgrķ fbotmoj eobbomborf tgjķtgrgm, égbķœkg projsfpborfjf vo `grmbķ ygrķ fbotmoj eobbom ygpķbgrķjķgéķmbgkgm

Vgbjķzhg cmujgefbfr (!K" vo # cmujgefbfr $ ygzķbgefbfr% eobbomborfj égbķœkg projsfpborfjfjiðstorfbkosf

 

#&obfko 'zujbuu% vo #)nros Eðbiosf *gyķsķ% géķbgrķjngj eobbom ðbé+borfjfj iojfœbotfbkosfjfjgéķmbgjkgsķ

Egœbķmbgr

  Eobbomborno &ubbgjķbgj orfkbor vo Vgpķbgj okob -œbokbor 

  .ojob Eobbom -œbokborf

  Eobbomborf *ķjķ`bgjnķrķbkgsķ / Eobbom <oœftborf

  Kgjyotfm Eobbombor 

  !ptfm 7fsm Eobbombor 

  Vgrķ -botmoj Eobbombor 

  Eobbom 5bé+borfjfj .ojfœbotfbkosf

EÐBÒK

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Eobbombor 70<

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Eobbombor 

Ifrfœ

Efbifsgygrbgrng vo prcirgkbgr fbo égbķœgj ojn+strfyob novroborno mubbgjķbgj prcirgkbgrķj voyg prcirgkbgrķj égbķœtķrķbkgsķ sķrgsķjng fœbojoj vorfborfj fmfbf efr ygpķng sgmbgjkgsķ gkghķybgmubbgjķbgj novrobor voyg obokgjbgr, ‑eobbom / ag`ķzg novroborf‖  cbgrgm fsfkbojnfrfbfr8 7for

 efr noyfœbo> efbifborfj ioéfhf voyg ngfkf cbgrgm sgmbgjnķķ efrfkbor #eobbom novroborf% cbgrgmfsfkbojnfrfbfr8 Efbifsgygrķj efr obokgjķ cbnuu nf?ftgb sfstokborfj gjgbci sfstokboro+st+jb+mborfjnoj efrfsf, e+y+m 0ghfkbf efbifborf m+é+m gbgjbgrng uzuj s+robf sgmbgygefbkoðzobbffnfr8

7f?ftgb sfstokborno eobbom obokgjķ cbgrgm> `bfp9`bcp%bgr (11", 11%borfj nofœfm egbgjtķsķybgcbuœturubgj mgynonfhf novroborf (ygrķ fbotmoj obokgjbgr", mcjngjsgtðr vo efbif sgmbgkgmgpgsftobf nfor obomtrcjfm obokgjbgr $ novrobor (kgjyotfm obokgjbgr $ crtgkbgr" mubbgjķbķr8Eobbom novrosfjfj sgyķsgb sfstokfj féfjno eubujnuu nurukbgrng ygrķ fbotmoj eobbombormubbgjķbķrmoj, efbifborfj tgœķjkgsķ fstojoj nurukbgrng kgjyotfm voyg cptfm eobbombornoj`gyngbgjķbķr8 6ķzbķ eobbom obokgjbgrķ cbgj 11%bor vo mgynonfhfbor ygrnķkķybg, efbifborfj

 efrfkbor grgsķjng 0ķzbķ cbgrgm trgjs`orf k+km+jn+r8 Efbifsgygrbgrng ng0fbf cbgrgm ygpķbgjfœbokborno ygyiķj cbgrgm mubbgjķbgj 11%bf mgynonfhfborfj ygjķjng, m+é+m i+é t+motfkfjfjioromtff yorborno eobbom cbgrgm mcjngjsgtðrbor mubbgjķbgefbfr8

g! e!

"omfb 78#7# )jg eobbom vo ygrnķkhķ eobbomborfj 0ķz $ mgpgsfto géķsķjngj mgrœķbgœtķrķbkgsķ, eobbomborno egyt ygpķsķ8

Vgrķ fbotmoj obokgjbgrngj cbuœgj 11 tokobbf eobbombor, 0ķzķj ðjokbf cbnuu yorborno gjg eobbom cbgrgm mubbgjķbķr8 7g0fbf cbgrgm mubbgjķbgj gjg eobbom novrosf, efbifsgygr prcirgkķjķjégbķœkgsķ vo prcirgkķj égbķœkg sķrgsķjng iorombf vorfborfj sgbgjkgsķ fœbokborfjo ygrnķkhķcbur8 Eu nurukng eobbombor mcjusujng yojf torfkbor cbuœur8 Eobbom éoœftborfjf iojob cbgrgm

fjhobonfmtoj scjrg, eobbombor fbo fbifbf tokob torfkborf géķmbgygbķk8

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Eobbombor 

"omfb 78#$# Eobbomborfj sķjķ`bgjnķrķbkgsķ vo eobbom éoœftborf8

70$

 

 Vgrķ botmojEobbombor

 Vgpķbgrķjg iðroEobbom ^òrborf

Cmu /VgzEobbombor  

NgafbfEobbombor

   E  o   b   b  o   m   b

CptfmEobbombor  

PHN UCKbgr   NPN UCKbgr  HN UCKbgr  

Kgj!otfmÉomfrnombfEobbombor  

Kgj!otfmMg"grhķmbķEobbombor  

KgjyotfmEobbombor

VgbjķzhgCmujg"fboj

Eobbombor#UCK$ 

Efpcbgr%rgjsfst&rbor'bo Vgpķbgjbgr  

Kgsmo UCK 

(UCK 

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KC*%omjcbc+fsf

fbo Vgpķbgjbgr  

Kgsmo UCK 

(UCK 

Eubujnumbgrķyoro iðro

Eobbom ^òrborf

AgrfhfEobbombor

 Vgptķmbgrķ œbokoiðro

Eobbom ^òrborf

GjgEobbom

 VgrnķkhķEobbom

Ugs,obo)rf-fkbf

Eobbombor#UGK$ 

Nfjgkfm UGKbgrNUGKbgr  .uhu<cbkg!gjUGKbgr<7PUGKbgr   *tgtfm UGKbgr*UGKbgr  

*tgtfm UGKbgr*UGKbgr  

KC*%omjcbc+fsf

fbo Vgpķbgjbgr  

%rgjsfst&rborfbo

Vgpķbgjbgr  

*ķrgbķ )rf-fkbfEobbombor  

Kgj!otfm%o!p

Kgj!otfmMg"grhķmbķ

5bcpp!Nfsmbor Agrnnfsmbor

CptfmEobbombor

Eobbom Eðbiosfjorfœfk !ombfjo iðro

Eobbom ^òrborf

"gsiobo rfœfkbfEobbombor

#ķrgbķ rfœfkbfEobbombor

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Eobbombor 

Vgpķbnķmbgrķ kgbzoko œombfjo iðro> ygrķ fbotmoj, cptfm eobbombor vo kgjyotfm eobbombor cbgrgmirupbgjnķrķbgefboj eobbombor, yorboœtfrfbnff yor cbgrgm> ng0fbf vo 0grfhf eobbombor, ygptķmbgrķfœbokbor géķsķjngj> gjg eobbom vo ygrnķkhķ eobbom cbgrgm, eobbom eðbiosfjo orfœfk œombfjoiðro> rgsiobo voyg sķrgbķ orfœfkbf eobbombor cbgrgm irupbgjnķrķbgefbfr8

Efbifsgygr kormozf fœbok efrfkf fbo ncrungj frtfegtbķ, efbifsgygrg ng0fbf cbgrgm yorboœtfrfboj,tokobno ygrķ fbotmoj obokgjbgrķj cbuœturnuu eobbom novroborf> yorboœtfrfbnfmborf yor cbgrgm‑ngafbf eobbom‖, ygptķmbgrķ fœbok jonojfybo ‑g%g eobbom‖ cbgrgm fsfkbojnfrfbfr8

<cm e+y+m 0ghfkbf efbifborfj sgmbgjkgsķ gkghķybg mubbgjķbgj vo iojobno efbifsgygrķj nķœķjngcbuœturubgj eobbom obokgjbgrķ, yorboœtfrfbnfmborf yor jonojfybo ‑agrf&f eobbom‖  cbgrgmfsfkbojnfrfbfrmoj, ygptķmbgrķ fœbok géķsķjngj ‑'grnķk&ķ / 'onom eobbom‖  cbgrgmfsfkbojnfrfbfrbor8 Vgrnķkhķ eobbomto sgmbgjgj efbifbor, efbifsgygrķj f0tfyghķ cbnuu gjbgrng

 efbifsgygrg y+mbojorom mubbgjķbķrbgr8

Vgrnķkhķ eobbom cbgrgm> kgjyotfm nfsm voyg kgjyotfm toyp, `bcppy nfsmotbor, kgjyotfmmgegrhķmbķ eobbombor (kgijotfm eueebo kokcry 9 KEK" voyg efrboœfm nfsmbor (hckpght nfsms

9 =7" mubbgjķbķr8 Eft egœķjg kgbfyotf ng0fbf eobbomboro iðro ng0g uhuz cbgj 0grfhf (ygrnķkhķ" eobbombor, écm uzuj s+robf efbif sgmbgkgng torhf0 onfbfrbor8 Kgjyotfm efbif sgmbgkg projsfefjoiðro égbķœgj, gjhgm ygrķ fbotmoj ygpķyg sg0fp kgjyotfm mgegrhķmbķ eobbombor (KEK%bor" ygvgœégbķœkgbgrķ jonojf fbo ng0fbf eobbom cbgrgm mubbgjķbgkgzbgr8 2omfb ;:8;%no ng0fbf $ gjg

 eobbomborfj 0ķz vo mgpgsfto géķsķjngj mgrœķbgœtķrķbkgsķ iðr+bkomtonfr8

1grmbķ ygpķ vo `grmbķ mubbgjķk yorborfjo sg0fp eobbomborf, 2omfb ;:83%nomf irupbgr gbtķjngfjhoboyorom, 0or irueuj tokob ðzobbfmborfjf géķmbgygbķk8 Eujujbg eorgeor, ðjhomubbgjghgķkķz torfkborf, mgvrgkbgrķ vo eobbomborno ygpķbgj tokob fœbokborf tgjķkbgygbķk8

7# Eobbomborno ()bbg%ķbg% *orfkbor vo +g,ķbg% *okob -œbokbor

Eobbombor fbo fbifbf tokob torfkborf $ mgvrgkbgrķ tgjķkbgkgm, eobbom fbo fbifbf fœbokborfj ng0gfyf gjbgœķbkgsķjg ygrnķkhķ cbghgmtķr8

Ef.   #L% voyg #;% noorfjf gbgefboj fmfbf sgyķ E- (Efjgry 7fift" cbgrgm fsfkbojnfrfbfr8 E-,sgyķsgb sfstokborno oj m+é+m efbif efrfkfnfr8

feebo G 7ðrt eftfj efr grgyg ioborom cbuœturnuu efbif irueu #jfeebo% cbgrgm fsfkbojnfrfbfr(2omfb ;:8;8e"8 Efr egyt, nðrt eftbfm fmf irueg gyrķbgefbfr vo 0or irup ‑%feebo‖  cbgrgmgnbgjnķrķbķr8

Eg'. E'.o!   eftbfm efbifjfj géķmbgjkgsķ féfj mubbgjķbgj ðzob torfk8

Egzķ mgyjgmbgrng, jgnfrojno cbsg, egyt torfkf `grmbķ uzujbumbgrngmf eftborf tgjķkbgkgm féfjmubbgjķbsg ng, iojob mgeub egytķj eft cbnuunur8

Eobbom mobfkof Kok5r' 5rn!   )yjķ tfp vorfborf voyg efr mckutu toksfb otkom gkghķybg

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  Eobbombor 

mubbgjķbgj efr eobbom féorfsfjnomf efr irup eft8

;H eftbfm efr mobfkoyf sgmbgkgm gkghķybg mubbgjķbgj ;H 11%jfj cbuœturnuu mgynonfhf, eobbommobfkosf féfj ðrjom cbgefbfr8 Eobbom mobfkosf uzujbuu, efbifsgygrbgrķj ðbé+s+jo egbķ cbgrgm

N eft/ HN eft grgsķjng nofœfr8 Eujujbg eorgeor iojob mgeub, ;H eft ygjf fmf egytbķm efbifjfjmobfko (Ocrn" cbgrgm fsfkbojnfrfbkosf œombfjnonfr8

Eobbom   >?&rof Kok5r' obb!   om efr eftbfm efbifyf (L voyg ;" sgmbgygefbkom féfjmubbgjķbgj obokgj, novro voyg hf0gz8

Eobbom 0+hrosfjo ðrjom cbgrgm> efr 11, œgr? onfbkfœ efr mcjngjsgtðr, kgjyotfm toyp voygnfsmottomf tom efr spct vorfboefbfr8

Eobbom 9fzff Kok5r' Grrg'!  Eobbom 0+hroborfjfj efr grgyg ioborom cbuœturnuu ygpķ8

Eobbom 0+hroborf nfzfborf cbuœtururmoj `grmbķ mckefjgsycjbgrng efr grgyg ioboefbfrbor (2omfb;:8:"8 Eobbom nfzfborfjno, 0+hroborfj ygj ygjg efr grgyg ioborom cbuœturnuu ygpķ ‑g.ķr‖,n+œoy ncrubtung efr grgyg ioborom cbuœturnuu ygpķ ‑?.)%‖ cbgrgm fsfkbojnfrfbfr8

HN 0+hronoj cbuœgj efr eobbom `grmbķ œomfbborno crigjfzo onfboefbfr8 6+hroborfj mgro cbghgmœomfbno efr grgyg iobkosf fbo @ nfzf cbuœur vo tcpbgk HN eftbfm eobbom mgpgsftosfjf eobfrtfr(2omfb ;:8:8g"8 )yjķ sgyķng 0+hro, ;H@N nfzf cbuœturghgm œomfbno (2omfb ;:8:8e" voyg HN@; nfzfœombfjno yorboœtfrfboefbfr (2omfb ;:8:8h"8

"omfb 78#88 Eobbom 0+hroborfjfj `grmbķ mckefjgsycjbgr fbo nfzf œombfjno n+zojbojkosf8

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Eobbombor 

(g,gf.o g,g&f.'!  +k eobbom sfstokfjno voyg eobfrbf efr obokgjng sgmbgjgefbohom eftsgyķsķjķ eobfrtkom féfj mubbgjķbgj torfk8

2omfb ;:8:%no eubujgj eobbomborfj t+k+jno mgpgsfto HN efttfr8 NLFH tgjo 3L9eft mgpgsftobf

 eobbomtoj eg0sottffkfz zgkgj, eobbofj tcpbgk mgpgsftosf>NLFH@3LD;8F3L eft

nokomtfr vo NLFH@3L eft cbgrgmtg f`gno onfboefbfr8

Efr eobboifj mgpgsftosf, 3;LD;L3N eftf f`gno onoj #;&% mķsgbtkgsķ fbo géķmbgjgefbfr8 Eunurukng, N&@3L efr eobbom fbo NLFH@3L mgpgsftobf eobbom f`gno onfbfr8

7g0g e+y+m mgpgsftobf eobbomborfj iobfœtfrfbkosf fbo, 33LD;8LN8IAH eftf f`gno onoj #; Koig/ ;K% vo 3:LD;L3N K eftf f`gno onoj #;.oig9;.% sķjķ`bgjnķrķbkgbgrķ ygpķbkķœtķr8 Vgpķbgjsķjķ`bgjnķrkgyg iðro, 3K@ efr eobbom fbo, 38LFA8;I3@ mgpgsftobf eobbom f`gno onfbkomtonfr8

Ðr%om 7  IK@ vo ;K@;H œombfjno f`gno onfboj eobbomborfj, 0gjifsfjno ng0g écm efbifsgmbgjgefbohofjf eubgbķk8

IK@ D I@;8LN8IAH@ D N;8FN:8LNL eft,

;K@;H D ;8LN8IAH@;H D ;H8AAA83;H eft8

Eu nurukng, IK@ mgpgsftobf eobbom ng0g écm efbif sgmbgygefbfr8

#7opcbgkg ycujbuu% torfkf, ojtoiroborfj efbif sgmbgkg mgpgsftoborfjf mgrœķbgœtķrkgmgkghķybg mubbgjķbķr8 -mf eobbom ojtoirosfjfj mgrœķbgœtķrķbkgsķjng> ng0g écm efbif sgmbgkgmgpgsftosfjo sg0fp cbgj eobbofj #nopcbgkg ycujbuu% ng0g y+msom cbgrgm géķmbgjķr8

Gnrobor Gnnro!  Eobbom nfzfsfjno efr 0+hrojfj voyg mobfkojfj eubujnuu eðbioyf $ yorff`gno onoj sgyķ8

Efr eobbom obokgjķ voyg sfstokno sgmbgjgj 0or efr 0+hro $ mobfko eobfrbf efr gnroso sg0fptfr85rjofj> 2omfb ;:8N8g%ng eubujgj 0+hrojfj gnrosf sgtķr vo s+tuj cbgrgm f`gno onfbfr (sgtķr I,s+tuj N"8 2omfb ;:8N8e%no eubujgj 0+hroborfj gnrosf fso ygbjķzhg :8 sgtķr cbgrgm tgjķkbgjķr8 Eugéķmbgkgbgrngj, eobbom gnrosfjf tgjķkbgkg œombfjfj eobbom crigjfzgsycju fbo fbfœmfbf cbnuuscjuhuju éķmgrgefbfrfz8

)nrosbor somfzbf, cjbu voyg cjgbtķbķ cbgrgm f`gno onfbsobor no, fmfbf sgyķbgr fbo géķmbgjķrbgr8 2omfb;:8I%no somfz mobfkoyf sgmbgkgm gkghķybg mubbgjķbgj vo 0or efr mobfkojfj sgmbgjnķķ gnrosfj:9eftbfm fmfbf sgyķybg toksfb onfbnff eobbom ygpķsķ iðr+bkomtonfr8 Eobbomtomf eobfrbf efr mobfko

 eðbiosfjnoj eg0sottffkfz zgkgj, eðbioyf tgjķkbgkgm féfj mubbgjķbgj gnros mcnujumubbgjķrķz8

)nros mcnbgrķ eobbomborno eubujgj gnros 0gtbgrķ fbo eobbofj gnros ifrfœborfjo uyiubgjķr8

706

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Eobbombor 

 g! om efr 0+hrojfj gnrosf8 e! *gtķr cbgrgm écm sgyķng 0+hrojfj gnrosf8

"omfb 78#1# Eobbom gnros eðbioborfjfj tgjķkbgjkgsķ8

Gnrobor Efb4f

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"omfb 78#6# 6or efr mobfko eobfrbf fmfbf gnroso sg0fptfr8+5bbgr / *gœķ.bgr E)o!   Kfmrcfœbokhfbf efr sfstok féorfsfjnomf efrfkbor voygkfmrcfœbokhfbf sfstok fbo éovro obokgjbgrķ grgsķjng fbotfœfkf sgbgygj 0gtbgr8

Efrfkbor grgsķjng fbotfœfkf sgbgygj vo ‑'5b‖  voyg ‑.gœķ.‖  cbgrgm gnbgjnķrķbgj 0gtbgr, vorffbotfœfkf gkghķybg mubbgjķbķycrsg, ‑vorf '5b)‖ cbgrgm fsfkbojnfrfbfr8 Morf ycbu fbo tom yðjb+voyg éf`t yðjb+ fbotfœfk k+km+jn+r (2omfb ;:8H"8 Morfbor efttoj cbuœuycr fso vorf ycbujng 0gt eubujur8 Morf ycbujng , ;H voyg :3 0gt eubujgefbfr8

Eobbombor +zorfjno ygpķbgj fœbokborf eobfrbokom vo eobbof yotmfbojnfrkom gkghķybgmubbgjķbgj efbifborf tgœķygj 0gtbgr, ‑m5%.r5b '5b)‖  cbgrgm tgjķkbgjķr8 Eobbomborno mcjtrcbycbujng eubujgj 0gt sgyķsķ> eobbofj éoœfnfjo, mgpgsftosfjo, ygpķsķjg, ve8 ðzobbfmboro egbķcbgrgm nofœfr8

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Eobbombor 

Eobbomborfj gnrosborfjf toksfb onoj efbifborf tgœķygj 0gtbgr, ‑gnro '5b)‖ cbgrgm fsfkbojnfrfbfr(2omfb ;:8H"8 )nros ycbujngj ioboj gnros efbifborf, gnros mcn éðz+h+ novroborno éðz+borom,

 eobbomto fbifbf eðbiojfj soéfbkosfjf sgbgr8 )nros ycbujng eubujgj 0gtbgrķj sgyķsķ, eobbommgpgsftosf fbo fbfœmfbfnfr8 N 0gtbķm ycbngj ioboj efbif fbo ;H eobbom eðbiosf tgjķkbgjgefbfrmoj

(3ND;H", 0gt fbo 3IH eobbom eðbiosf toksfb onfboefbfr (3D3IH" vo ;H gnros 0gttķ fbo HN&(3;HDHI8I:HDHN&" eobbom eðbiosf gnrosbojoefbfr8

"omfb 78#0# Eobbomborno fbotfœfk vo ycbbgr8

=m)kg -œbokf 2ogn =,org.f5%!   Eobfrbf efr eobbom gnrosfjno sgmbgjgj fmfbf efbifjfj eobfrbojfp, `grmbķ efr obokgjg gmtgrķbkgsķ fœbokf8

2omfb ;:8A%nomf 3 jcbu eobbom mobfkosfjf mubbgjkgm fstonffkfz zgkgj, #L;L% jcbu gnrosto

cmukg fœbokf ioréomboœtfrkokfz ioromfr8 !mukg fœbokf, egzķ nurukbgrng mobfkojfj eobbomtoj gbķjkgsķ jonojfybo ‑gbkg `o.&a!‖ cbgrgm tg gnbgjnķrķbķr8

Efr eobbom eðbiosfjno eubujgj vorfyf cmukgm féfj, gnros mgynonfhfsfjno eubujgj vo vorfjfjcmujghgķ eobbom eðbiosfjf (gnrosf" toksfb onoj efbifbor gnros ycbu +zorfjo yorboœtfrfbfr8 )nrosycbu +zorfjnomf vorf, gnros mcn éðz+h+ tgrg`ķjngj éðz+borom fbifbf gnros eðbiosf eubujur8#!&'% mckutu fbo, eubujgj gnros eðbiosfjnomf vorfjfj mcpygsķ vorf ycbu +zorfjo yorboœtfrfbfrvo vorf mgynonfhfsfjo nopcbgjķr8 Eobbom eðbiosfjnoj vorf cmujkgsķ fœbokfjno, eobbomto

 eubujgj vorfno efr nofœfmbfm cbkgz8

70;

 

 Gnros mcn&z8h8 Eobbom nfzfsf

Porf !cbu Gnros !cbu

Mcjtrcb!cbu

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  Eobbombor 

"omfb 78#;# Eobbomborno cmukg fœbokf8

"omfb 78#:# Eobbomborno ygzkg fœbokf8

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8 Vgz mckutu, vorfjfj ng0g ðjhomf vorfybo yor nofœ tfrfp I jcbu gnros féorfsfjo yorboœtfrfbkosfjf sgbgr8

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Eobbombor 

+gzkg -œbokf rf.o =,org.f5%!   Eobfrbf efr eobbom eðbiosfjo yojf efr efbifjfjyorboœtfrfbkosf voyg efr gnros eðbiosfjno sgmbgjgj efbifborfj yojf efbifborbo yor nofœtfrkosffœbokf8

Efr eobbom eðbiosfjo vorfjfj mcjubgefbkosf féfj, gnros mgynonfhfsfjnomf noor gnros ycbu+zorfjo yorboœtfrfbfr (2omfb ;:8"8 )nros ycbu +zorfjnomf noor, gnros mcn éðz+h+ tgrg`ķjngjéðz+b+r vo fbifbf eobbom eðbiosf soéfbfr8 Eu grgng #V)B% mckutu fœboko mcjubgrgm, vorfmgynonfhfsfjno eubujgj vorf soéfboj eobbom eðbiosfjo yorboœtfrfbfr (2omfb ;:8"8 Efr eobbom

 eðbiosfjo #V)B% mckutu fbo yojf efr efbif ygzķbkgsķ, osmf efbifjfj mgyecbkgsķjg jonoj cbur8

Lrfœfk gkg%ķ G&&o *fko! Efr eobbom obokgjķjķj fœbok 0ķzķ ðbé+s+n+r vo efr cmukgfœbokfjf ioréomboœtfrkom féfj iorombf tcpbgk zgkgjķ f`gno onor8 7for efr noyfœbo> efr eobbofjyojf efr gnros efbifsf gbkgsķ fbo vorfjfj eobbom éķmķœķjng 0gzķr cbnuu nuruk grgsķjng ioéojs+ro, ‑Lrfœfk zgkg%ķ .G‖ cbgrgm fsfkbojnfrfbfr8

Hé)&) Eobbom 35bg.fbo Kok5r'!  *gmbgkg fœbokf féfj obomtrfm ojor?fsfjfj ioromtff eobbomtfpf8 bomtrfm mgyjgķjķj mosfbkosf fbo eobbomto sgmbgjgj t+k efbif sfbfjfr8 Vgrķ fbotmoj

 eobbomborfj écu uéuhu fmoj, t+k kgjyotfm eobbombor uéuhu cbkgygj (jcjvcbgtfbo" ðzobbfosg0fptfrbor8

2g.4obo Lrfœfkbf Eobbom 2g%n5k G&&o Kok5r' 2GK! !mukg voyg ygzkg fœbokfsķrgsķjng eobbom eðbiosfjo orfœfk féfj, égbķœķbgj eobbom eðbiosfjfj mcjukujuj 0féefr otmfsfjfjcbkgnķķ eobbom t+r+8 7for efr nofœbo, t+k eobbom eðbioborf féfj cmukg voyg ygzkg fœbokforfœfk zgkgjķjķj gyjķ cbnuu eobbom éoœfnf8 Vgrķ fbotmoj vo kgjyotfm j+vobf eobbomborfj écu)K%nķr8 )K%bgr tgmfp onoj mķsķkbgrng notgybķ cbgrgm fjhobojohomtfr8

Nķrgbķ Lrfœfkbf Eobbom NoO)o%.fgb G&&o Kok5r' @ NGK! rfœfk zgkgjķjķj égbķœķbgj eobbom eðbiosfjfj mcjukujg egbķ cbgrgm nofœfk iðstornff eobbom t+r+8 Efr efbif, efbifjfjsgmbgjnķķ gnroso mgngr mf t+k eobbom eðbioborfjfj sķrgsķ fbo mgt onfbkosf scjuhujng eubujur8Eu fœbok, )K tfpf eobbomboro iðro écm ng0g uzuj efr orfœfk zgkgjķ ioromtfrfr8

*)K tfpf eobbomboro ðrjom cbgrgm kgjyotfm toyp%bor, nfsm vo kgjyotfm mgegrhķmbķ eobbomboriðstorfboefbfr8 Eu tfp eobbombornomf fœbok, féfjno œgrmķbgr eubujgj efr mgsotto fstonffkfz efrœgrmķyg orfœkom féfj ygptķķkķz 0ķzbķ orfœfk fœbokfjo eojzotfboefbfr8 -stonffkfz œgrmķygorfœfk zgkgjķ mgsotborno œgrmķjķj mgynonfbnff eðbioyo egbķ cbnuu ifef *)K eobbomborno

 efbfiyo orfœfk, efbifjfj eubujnuu yoro egķkbķnķr8

=m) / +gz Eobbombor 2ogn / rf.o Kok5r' 2K!  !mukg vo ygzkg fœbokborfjfj eojzor fœbok gœgkgbgrķ fbo ioréomboœtfrfbnfif 0or 0gjif efr eobbom t+r+8 Efbifborfj ygzķbķp, ng0gscjrg cmujgefbnfmborf t+k eobbom éoœftborfjo vorfboj iojob gn8 )K eobbombor eu irueg ifror8

+gb%ķz&g =m)%gefbo% Eobbombor 2ogn =%b' Kok5r' @ 2=K!  Vgzkg fœbokfjfj ygbjķzhg efr moro vo +rotfhfbor tgrg`ķjngj ioréomboœtfrfbnff eobbom t+r+8 !K eobbomtomf efbifbor

fstojfboj sgyķng cmujgefbfr8 Vgzkg fœbokfjfj efr moronoj `gzbg ioréomboœtfrfboefbnff !K

70

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  Eobbombor 

tfpborfjno> ygzkg fœbokf cmukg fœbokfjo iðro écm ng0g mgrkgœķm cbnuujngj, ygzkg fœbokfécm sķm cbgrgm ygpķbkgz8 <cm nofœfm t+rborfj eubujnuu !K eobbomborfj 0opsf uéuhucbkgygj tfptonfr vo obomtrfm ojor?fsf mosfbso ng0f efbifbor sgmbgjkgyg novgk onor8 !K%bgrtgmfp onoj mķsķkbgrng notgybķ cbgrgm fjhobojohomtfr8

N.g.fm Eobbom Lbokg%bgrķ N.g.f& Kok5r' 9ovf&o!  

*gmbgjgj efbifjfj obomtrfm ojor?fsfuyiubgjnķķ s+roho yojfnoj ygzkgyg (tgzobokoyo" iorom cbkgngj sgmbgjnķķ ygrķ fbotmoj

 eobbom obokgjbgrķ8

9f%gkfm Eobbom Lbokg%bgrķ 9f%gkf& Kok5r' 9ovf&o! *gmbgjgj efbifjfj uzuj s+rosgeft cbgrgm sgmbgjgkgnķķ, obomtrfm ojor?fsf uyiubgjkgsķ ygjķjng, efbifjfj eobfrbf grgbķmbgrbgtgzobojkosfjf (ro`ros0" ioromtfroj eobbom t+r+8

9gafbf / G%g Eobbom A%.or%gb / Kgf% Kok5r'! &ckutbgrķj vo =J'%juj +zorfjnoégbķœtķķ vorfborfj sgmbgjnķķ, efbifsgygrķj gjg eobbof (Kgfj kokcry"8 7g0fbf eobbombor,

 efbifsgygrbgrng eubujgj oj 0ķzbķ eobbombornfr vo iojobbfmbo ygrķ fbotmoj obokgjbgrķjngjygpķbķrbgr8 Efbifsgygrbgrng eubujgj )K eobbombor, ng0fbf eobbombornfr8

>grf&f / +onom Eobbom LF.or%gb 5r G)Ffbfgr' Kok5r'! .ojobbfmbo efbifsgygrķj nķœķjng eubujgj vo ygvgœ égbķœgj eobbom t+r+8 Vgrnķkhķ eobbom cbgrgm tg fsfkbojnfrfboj eu tfp eobbomto, ng0fbf eobboo iðro écm ng0g e+y+m 0ghfkbf efbifbor sgmbgjgefbfr8 7g0fbf eobbomboroiðro ng0g ygvgœ cbgj eu eobbombor, uéuhu cbkgygj ðzobbfmtonfrbor8 Kgjyotfm toypbor vonfsmbor ygyiķj cbgrgm mubbgjķbgj ygrnķkhķ eobbom t+rborfnfrbor8

okob torfkborf ðzotbonfmtoj scjrg, ng0g scjrgmf mcjubgrķj gjbgœķbkgsķjg ygrnķkhķ cbkgsķgéķsķjngj eobbomborno ygpķbgj iojob fœbokborf fjhoboyobfk8

$# Io%ob Eobbom -œbokborf

Eobbom fœbokborf 0or efr eobbom tfpf féfj `grmbķ cbsg ng, iojob fœbokborfj projsfpborf t+k eobbom

éoœftborf féfj gyjķnķr8 .ojob cbgj fœbokborf géķmbgkgm, eobfrbf tfp eobbom obokgjbgrķjngmffœbokborf gjbgkgyg ygrnķkhķ cbghgmtķr8 5jho eobbom fœbokborfjf ioréomboœtfrkom féfj iorombfifrfœ $ éķmķœ fœbokborfjf ðzotboyobfk8

f9 !mukg voyg ygzkg fœbokf féfj orfœfbohom gnrosf soé,

ff9 !mukg voyg ygzkg fœbokfjf soé,

fff9 Vgzkg fœbokf fso, eobbomto sgmbgjghgm efbifyf sgbg,

fv9 !mukg fœbokf fso, eobbomtoj ioboj vorfyf éķmķœ torkfjgbborfjno tut,

v9 )nros ifrfœborfjo vo cmu $ ygz mckutbgrķjg hovgp vorkom féfj eobbofjyotmfbojnfrko ifrfœfjf uyiuj sfjygb fbo uygr8

!mukg$Vgzkg fœbokborfjnoj uyiuj cbgjķj soéfbkosf féfj $C ifrfœfjo vo ojtoirojfj

soéfbkosf féfj ojtoiro soéko (=0fp *oboht" ifrfœfjo uyiuj sfjygbborfj uyiubgjkgsķ ioromfr8

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Eobbombor 

Eu fœbokborf ioréomboœtfrkom féfj eobbom ojtoirosfjo gebc ;:8;%no ðzotbojoj sfjygbboruyiubgjķr8

 

*geb5 78#7 Eobbom ojtoirosfjno eubujgj mcjtrcb sfjygbborf $ ifrfœborf8

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  Eobbombor 

jtoiro soéko ifrfœfjfj (=*" gmtf` cbkgkgsķ nurukujng ojtoirono 0féefr fœbok ygpķbkgz8=* ifrfœfjfj gmtf` cbkgsķ fbo, cmukg voyg ygzkg fœbokborfjnoj efrfsf soéfboefbfr8

Eobbom ojtoirosfjnomf fœbokbor, Kormozf -œbok Efrfkf (K-E" voyg eobbom yðjotfk efrfkf

(KK'" ifef 0grfhf mcjtrcb efrfkborf tgrg`ķjngj mcjtrcb onfbfr8 &cjtrcb fœbokfjno K-Etotfmboko sfjygbf nofb, eobbom ojtoirosfjo mcjtrcb sfjygbborfjfj uyiubgkg zgkgjbgrķ ro`orgjsgbķjķr8 Eujujbg eorgeor, cmukg vo ygzkg fœbokborf sfstok totfmboko (sggt" sfjygbf fbosojmrcjfzo onfbfr8 Eujuj gjbgkķ> eobbom ojtoirosf orfœfk zgkgjķjķj vo cmukg$ygzkgfœbokborfjfj eobfrbf sgyķng sggt sfjygbf porfycnu féfj K-E fbo uyukbu égbķœkgsķnķr8

5rjom cbgrgm> IL K6z totfmboko `romgjsķ fbo égbķœgj, 0or efr sggt porfycnujuj 3L jsj (; jsjD ;L9F  sj" cbnuu K-E%no> orfœfk zgkgjķjķj HI jsj vo ygzkg zgkgjķjķj AI jsj cbkgsķnurukujng cbuœgj cbgybgrķ fjhoboyobfk8

Eobboo orfœfk féfj 0grhgjgj tcpbgk porfyct s+rosfjfj orfœfk zgkgjķjngj e+y+m (voyg ojgzķjngj oœft" cbkgsķ iorombfnfr8 K-E sggt porfycnujuj 3L jsj vo orfœfk zgkgjķjķj AI jsjcbkgsķ jonojf fbo iorombf porfyct sgyķsķ nðrt cbgrgm eubujur8

2omfb ;:8F%ng, IL K6z K-E sggt sfjygbf fbo efrbfmto AI jsj ygzkg sgymķb zgkgjķ vo HI jsjorfœfk zgkgjķjg sg0fp eobbom ojtoirosfjfj eobbom sgymķb zgkgjbgkg œokgsķ iðr+bkomtonfr82omfb ;:8F8g%ng 0or efrf 3L jsj%bfm ;, 3, :  vo N  sgymķbbgrķ sķrgsķjng ioréomboœtfrfboj#ygzkg% fœbokf notgybgjnķrķbkgmtgnķr8 Vgzkg fœbokfjno, K-E tgrg`ķjngj gnros vo vorf ifrfœfsgbgjķr8 ;  sfjygbfjfj y+msoboj mojgrķjg eobbom ojtoirosf yotmfbojnfrfbfr vo gnros ojtoiroyouyiubgjķr8 3  sgymķbķjķj y+msoboj mojgrķjng fso, ygzķbghgm vorf ojtoiroyo uyiubgjķr8 3

sgymķbķ sķrgsķjng, $C pfjfjno cbuœgj nofœfmbfm cmukg fœbokfjfj ygpķbkgsķ féfj iorombf efbifyf sgbgr8 Vgjbķœ noorborfj ygzķbkgsķjg ojiob cbkgm féfj, vorfbor gnros efbifsfjnoj scjrguyiubgjķr vo $C sfjygbf eobfrbf efr s+ro #L% noorfjno tutubur8 $C sfjygbf #;% noorfjonofœtfmtoj scjrg gnros vo vorf efbifborfjfj eobfrbf efr s+ro ng0g novgk otkosf ioromfr8 Ijsj%bfm eu s+ro, yojf mcjtrcb sfjygbborf fbo yojf ; sfjygbfjfj fœbok ygpkgsķjķ sgbgr8

2omfb ;:8F8e%no, gnros vo eobbom yotmfbojnfrko sfjygbborfjfj uyiubgjnķķ #cmukg% fœbokfiðstorfbkomtonfr8 ;  sfjygbfjfj y+msoboj mojgrķjng gnros vo eobbom yotmfbojnfrko sfjygbborfojtoiroyo uyiubgjķr8 )nros vo eobbom yotmfbojnfrko sfjygbf uyiubgjnķmtgj HI jsj scjrgorfœfboj eobbom eðbiosfjnomf efbif vorf ycbujng iðz+m+r8 Eu vorf, efr scjrgmf ;  sfjygbfsķrgsķjng sfstokno eubujgj mgynonfhfboro gmtgrķbķr8

Eobbom fœbokborfjf ioréomboœtfrkom féfj, eobbom ojtoiroborfjfj uyiuj ifrfœ $ éķmķœ gygmbgrķjg(pfjborfjo" sg0fp cbkgsķ ioromfr8 2omfb ;:8;L8g%ng :3 gnot N eftbfm efbifyf sgmbgkgmgpgsftosfjo sg0fp, :3@N efr eobbofj egsftboœtfrfbkfœ tokob fœbovborf iðstorfbkomtonfr8

)éķmbgjgj obokgj N eftbfm cbnuujngj, WL9W: ifrfœ 0gtbgrķjg vo UL9U: éķmķœ 0gtbgrķjg sg0fptfr8Vgzkg fœbokf sķrgsķjng efbifbor vorf ifrfœborf ygrnķkķybg eobboo y+mbojfrmoj, cmukg fœbokfsķrgsķjng eobbomtoj cmujgj efbifbor vorf éķmķœbgrķjngj gbķjķr8 Eobbom ojtoirosfjno eubujgj

 egbgjtķbgrķ mķsghg ðzotboyobfk8

7;$

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Eobbombor 

Gnro Ifrfœborf  Eobbom :3 mobfkoyf nopcbgnķķjngj ncbgyķ, LLLLL%ngj ;;;;;%o mgngr mffmfbf sgyķbgrbg f`gno onfboj :3 `grmbķ gnroso, nfor efr noyfœbo :3 efbif sgmbgkg eðbiosfjosg0fptfr8 )nros eðbioborfjnoj 0or0gjif efrfsfjo orfkoméfj, )L9)N  fbo toksfb onfboj gnrosifrfœborfjo I eftbfm gnros mcnu uyiubgjķr8

.ojobno, 3 4 mobfko sgmbgkg mgpgsftosfjo sg0fp efr eobbofj, #4% sgyķng gnros ifrfœfjfj cbkgsķioromfr8 Eu gnros ifrfœborf ygrnķkķybg ubgœķbgefboj eobbom eðbioborfjo `grmbķ efbifbor ygzķbgefbfrvoyg eu eðbioborno eubujgj efbifbor cmujgefbfr (2omfb ;:8;L8e"8

2/D Ifrfœf G $CD ifrfœ 0gttķ, eobbomto ygpķbghgm cmu $ ygz fœbokfjf eobfrbor8 Egzķ ojtoiroborfjgyrķ9gyrķ ifrfœbor fbo eobfrbonff eu fœbokbor, tom efr ifrfœfj mubbgjķbnķķ nurukbgrng> $C$D;cbkgsķ fbo cmukg fœbokf, $C$DL cbkgsķ fbo ygzkg fœbokf ioréomboœtfrfr8

Eobbom +o.mfbo%nfrko  Efrécm eobbom sfstokf, sfstokfj t+k+j+j voyg efr mķskķjķj ifrfœboromgrœķ topmfsfz mgbkgsķjķ sgbgygj eobbom yotmfbojnfrko (Kokcry jgebo9K" ifrfœfjosg0fptfr8 1grmbķ eobbom ojtoiroborfjno `grmbķ fsfkborbo toksfb onfboj eu ifrfœo uyiuj sfjygbuyiubgjkgsķ fbo, eobbofj $C$  vo gnros ifrfœborfjo mgrœķ topmfsfz cbkgsķ sgbgjķr8

Votmfbojnfrko ifrfœf, eobbomborfj efr grgyg ioborom e+y+m eobbom sfstokborfjf cbuœturnuun+zojomborno ðjokbf efr fœbovo sg0fptfr8

  g! e!

"omfb 78#7<# :3@N eobbom œokgsķ vo eobbom 0+hroborfjfj gnrosborf $ féorfmborf8

Eobbom ojtoiroborf sg0fp cbnumbgrķ ðzobbfmboro vo mgpgsftoborfjo iðro `grmbķ sgyķng vorf ifrfœ $éķmķœ vo gnros ifrfœ 0gtbgrķjg sg0fp cbgefbfrbor8 5rjofj> N&@ mgpgsftosfjno efr eobbofj>

f9 *g0fp cbghgķ vorf ifrfœ vo vorf éķmķœ 0gtbgrķ sgyķsķjķ,

ff9 *g0fp cbghgķ gnros 0gttķ sgyķsķjķ,

7;8

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Eobbombor 

fff9 Eyto cbgrgm sg0fp cbghgķ sgmbgkg mgpgsftosfjf eubgbķk8

-stojfboj noorborf sķrgsķ fbo eubghgm cbursgm>

f9 &obfko uzujbuu cbnuujngj, vorf ifrfœ vo vorf éķmķœbgrķ 0gttg sg0fp cbkgbķnķr8

ff9 Eobbom N& efbif sgmbgygefbnffjnoj> N @ ;L3N D NLFH mobfko sgmbgkg mgpgsftosfjosg0fptfr8 NLFH eobbom gnrosf cbkgsķ ioromtffjnoj, NLFHD3;3 oœftbffjnoj ;39eft gnros mcnucbkgsķ scjuhuju euburuz8

fff9 ; Eyto D eft cbnuujngj, eobbom NLFH Eyto sgmbgkg mgpgsftosfjo sg0fptfr8

Eurgng mķsghg géķmbgnķķkķz eobbom sfstokborfjno mubbgjķbgj ycbbgr (eusos", eobbofj efbifsgygrbgrķj féorfsfjno mubbgjķbnķķ nurukbgrng eobbom fbo =J' grgsķjng 0georboœkosgbgrmoj, 0georboœko sķrgsķjng tgœķnķmbgrķ efbifyo iðro fsfkbojnfrfbfrbor8 7g0g ðjhogéķmbgjnķķ +zoro> tgœķjķbgj efbifyo iðro +é tfp ycb crtgyg éķmgrG vorf ycbu, gnros ycbu vomcjtrcb ycbu8

=J'%juj ioréomboœtfrohof cmukg $ ygzkg fœbokfjno ðjokbf efr rcb cyjgygj +é tfp ycb, 2omfb

;:8;;%nomf ifef iðstorfboefbfr8 Vcbbgrķj 0or efrfsf `grmbķ sgyķng 0gttķ féorfr vo 0gtbgrķj sgyķsķmubbgjķbnķķ sfstoko iðro nofœfmbfm iðstorfr8

Gnro +5b) Gnnro E)!  G om yðjb+ eu gnros ycbu fbo, =J'%juj fmfbf gnros éķmķœbgrķ eobbom ojtoirosfjo tgœķjķr8

3orf +5b) 9g.g E)!  <f`t yðjb+ eu vorf ycbu fbo, =J' fbo eobbom grgsķjng vorf gmķœķjķsgbgr8

(5%.r5b +5b) 5%.r5b E)!  &cjtrcb ycbu fbo, mcjtrcb sfjygbborf ($C $, K, ve8" =J'%ngj eobbom ojtoiroborfjo tgœķjķr8

"omfb 78#77# =J' fbo eobbomborf egbgygj +é ycb egbgjtķsķ8

7;1

 

Eobbom

AEobbom

A0 

)nros Vcbu

&cjtrcb Vcbu

Morf Vcbu

Kfmr%ļœbokhf&'()*

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Eobbombor 

+, Eobbomborf #ķjķ-bgjnķrķbkgsķ . Eobbom /oœftborf

Eurgyg mgngr géķmbgjgj torfkbornoj vo eobbomborbo fbifbf vorfboj iojob efbifbornoj`gyngbgjgrgm, eobbomborf `grmbķ egmķœ géķbgrķybg `grmbķ œomfbborno irupbgjnķrgefbfrfz8

.rupbgjnķrkg egmķœ géķsķjg egbķ cbgrgm nofœfk iðstorso no, t+k irupbgjnķrkgbgrng iojobcbgrgm 2omfb ;:83%nomf eobbom éoœftborfjf iðroefbfrfz8

.rupbgjnķrkgng crtgyg éķmgj sķjķ`bgr, efrefrfjfj gbt sķjķ b̀grķjng yor gbgefbfrbor8 5rjofj>0grfhf eobbom cbgrgm kgjyotfm voyg ygrķ fbotmoj eobbombor mubbgjķbgefbfrmoj, nfor tgrg`tgjygrnķkhķ eobbombor ng0fbf voyg 0grfhf cbgrgm yorboœtfrfboefbfr8 Eu mgrkgœķmbķķ efr ygjg

 eķrgmgrgm eobbomborf ygpķbgrķjg iðro fjhoboyfp, eu fjhoboko sķrgsķjng nfor irupbgrngmf eobbomborf géķmbgygbķk8

Eobbombor ygpķbgrķjg iðro>

f9 Kgjyotfm eobbombor,

ff9 !ptfm eobbombor,

fff9 Vgrķ fbotmoj eobbombor,

cbgrgm +é irup gbtķjng fjhobojoefbfr8

<, Kgjyotfm Eobbombor 

Kgjyotfm eobbombor, sgmbgkg fœbokfjfj kgjyotfm cbgrgm ioréomboœtfrfbnff vo efbifborfj ioéfhfcbkgyghgm œomfbno (jcjvcbgtfbo" tutubnuu eobbom t+rborfnfr8 <oœftbf ygpķ œomfbborfjo sg0fpkgjyotfm eobbomborf gbt irupbgrg gyķrgrgm géķmbgygbķk8

1#7#Kg%'o.fm Momfrnombf Eobbombor

-mfbf efbifborfj sgmbgjkgsķ féfj kgjyotfm éomfrnomborfj mubbgjķbnķķ, uéuhu cbkgygj )K

 eobbombornfr8 Kgjyotfm éomfrnombf eobbombor (Kgijotfh =cro Kokcrfos", ygrķ fbotmoj eobbomborfj ygyiķj cbgrgm mubbgjķkķjngj ðjho efbifsgygrbgr tgrg`ķjngj ng0fbf eobbom cbgrgmmubbgjķbkgmtgynķbgr8 okob kgjyotfm éomfrnombf eobbom 0+hrosf, kgjyotfm kgbzokonojygpķbkķœ efr obokgjnķr8

)mķk, kgjyotfm gmķ vo iorfbfk œombfjno +é `fzfmsob ðzobbffj mubbgjķbnķķ kgjyotfm éomfrnombf eobbomto, sgmbgkg fœbokf éomfrnofj crtgsķjngj ioéoj efr sgriķyg egbķnķr8 Eu sgriķngj efrgmķk ioétff zgkgj, ioéoj gmķkķj yðj+jo egķkbķ cbgrgm éomfrnom féorsfjno kgjyotfm gmķ(`bu@" cbuœur8 Kgjyotfm gmķjķj mgbķhķbķķ jonojfybo, gmķk mosfbso ng0f éomfrnom féorfsfjnokgijotfzgsycj sgeft mgbķr8 Kgijotfzgsycjuj k+km+j cbgj fmf yðj+ (4 vo * mutupbgrķ", ; voL noorborfjf toksfb otkom féfj mubbgjķbķr8 *ggt ferosfjfj torsf yðj+jno kgijotfzgsycj ;noorfjf, sggt ferosf yðj+jnomf kgijotfzgsycj fso L noorfjf f`gno onor8 2omfb ;:8;3%no

éomfrnom +zorfjnomf sgriķngj ioéoj gmķkķj yðj+ fbo, #L% vo #;% noorborfjfj cbuœkgsķ

7;6

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  Eobbombor 

iðr+bkomtonfr8

Kgjyotfm éomfrnombf eobbom sfstokborf ;LLjs9ILLjsj orfœfk zgkgjķjg sg0fptfrbor vo osmf kfjf efbifsgygr vo kgfj`gko sfstokborno mubbgjķbnķbgr8 1gmgt `fzfmsob e+y+mb+mborf vo mgrkgœķm

grgefrfk novroborf jonojf fbo mubbgjķkngj mgbmtķbgr8

  g! Xc?fm L sgmbgjkgsķ e! Xc?fm ; sgmbgjkgsķ &! 6fstorfz nðji+s+

"omfb 78#7$# Efr eftfj kgjyotfm éomfrnomto sgmbgjkgsķ8

1#$# Kg%'o.fm (gegr&ķmbķ Eobbombor Kg4%o.f& E)eebo Kok5rfoKEK!

Kgjyotfm mgegrhķmbķ eobbomborno, fmfbf efbif kgjyotfm kgbzokonoj ygpķbkķœ fjho efr `fbk+zorfjno fjho mgegrhķmbgr œombfjno sgmbgjķr8 &gegrhķmbgrķj cbkgsķ bc?fm ;, cbkgkgsķ bc?fm Lnoorfjf toksfb onor8 KEK%bor sķrgbķ orfœfkbf eobbombornfr vo vorf efbifborfj nķœ n+jyg fbofrtfegtķjķ sgbgygj efr tcpbgkg (pfhm9up" jcmtgsķjngj 0ķzbg ioéor8

Kgjyotfm mgegrhķmbķ eobbomborfj oj ðjokbf gvgjtg?ķ, mgbķhķ ðzobbfmto cbkgbgrķnķr8 bomtrfmojor?fsf mosfbso ng0f, sgmbgjgj vorf tutubnumbgrķ jcmtgng sgeft mgbgrgm mgyecbkgzbgr8 7formgbķhķ eobbom tfpborfjnoj (!K9J!K9J!K" `grmbķ cbgrgm, KEK eobbomborno ygzkg vocmukg fœbokf gyjķ mcbgybķmtg ioréomboœfr8 &gbķhķ tfp eobbombor cbgj toyp vo nfsm eobbomborbomgrœķbgœtķrķbkgbgrķ nurukujng, KEK sfstokf 0gromotbf pgrégbgrķ cbkgnķķjngj ncbgyķ sossfzvo ng0g 0ķzbķnķr8

<cm m+é+m i+é t+motfkfjo sg0fp eu tfp eobbombor, ng0fbf eobbom cbgrgm mubbgjķbgefbkoborf féfjiorombf 0ķzg sg0fp nofbbornfr (rfœfk zgkgjķ ;^ 3 ksj"8 Kgjyotfm toyp vo nfsm mgynonfhfboroiðro ;LL moro ng0g 0ķzbķ cbgj eu tfp eobbombor, iorombf s+r+k novroborfjfj pg0gbķ cbkgsķjonojfybo ygyiķj cbgrgm mubbgjķbkgzbgr8 1fygtbgrķj n+œkosf fbo, KEK eobbomborfj `bcppy nfsmsfstokborfjfj yorfjf gbnķķjķ iðrkokfz k+km+j cbghgmmoj, ng0g uhuz vo mcbgy +rotfboj sgeft

 eobbombor jonojfybo ygyiķjbgœkgngj crtgngj mgbmkķœbgrnķr8

7;0

 

 4oigtf`

gmķJczftf`

gmķ

 4oigtf` gmķk Jczftf` gmķk

L

;

)mķ

)mķk

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Eobbombor 

1#8# Kg%'o.fm *o', vo 9fm Eobbombor

oyp vo nfsm novroborfjno eubujgj cmu$ygz egœbķķ kgijotfm efr kgbzokojfj y+zoyfjno0gromot onorom kgijotfm spct%u cmukg vo ygzkg fœbokfjf ioéomboœtfrfr8 oyp vo nfsm%bornomf

fmfbf efbifborfj 0ok mgynonfbkosfjno 0ok no cmujkgsķjng gyjķ tokob projsfp mubbgjķbķr82omfb ;:8;:%no, 0gromotbf efr kgijotfm y+zoyno tokob mgynotko fœbokf iðr+bkomtonfr82omfbnomf cmukg $ ygzkg egœbķķ, otrg`ķjg ecefj sgrķbķ yukuœgm nokfrnoj efr éomfrnom vom+é+m efr 0gvg grgbķķjngj cbuœur8 Vgzkg fœbokfjno, ecefjbornoj efr gmķk gmgrgm éomfrnomtokgjyotfm 0gtbgr cbuœturur8 Eu 0gtbgr, kgjyotfm gmķ féfj écm y+msom nfrojho (robumtgjsg" sg0fp0gvg grgbķķybg mgrœķbgœķjhgyg mgngr novgk onor8 V+msom nfrojé, gmķ 0gtbgrķjķj ycbujunofœtfrfp 0gromotbf y+zoyfj kgjyotfm mgpbgkgsķjg ncru yðjbojkosfjo jonoj cbur vo

 ecefjbornomf gmķk 0gromotbf y+zoyno kgjyotfmbojkfœ eðbiobor cbuœturur8 Kgjyotfmbojkfœ eðbiobor cmu $ ygz egœbķķ ioétfmtoj scjrgng kgjyotfmbffjf novgk ottfrfr8

!mukg fœbokf, ygzkg fœbokfjfj torsfnfr vo cmukg fœbokf sķrgsķjng ecefj sojscr 0gttķ cbgrgmmubbgjķbķr8 Kgjyotfm y+zoy cmu $ ygz egœbķķ gbtķjng 0gromot onormoj, kgjyotfm eðbiobor 0gvg

grgbķķjng vo ecefjborno efr gmķ cbuœturur8 Ecefj gmķsķjngmf eu nofœfmbfm, sojscr ecefjborfjno efr iorfbfk cbuœturur vo eu iorfbfk, #;% voyg #L% cbgrgm mgeub onfbfr8

"omfb 78#78# 6gromotbf kgjyotfm y+zoyno mgyķt fœbokfjno mubbgjķbgj tokob pgrégbgr8

1#1# Ngef. 9fm Nf.okborf

*geft nfsm (6grn nfsm" sfstokborfjno vorf, 0or fmf tgrg`ķ kgjyotfm kgbzoko fbo mgpbgjkķœgb+kfjyuk nfsm +zorfjnomf ngfrosob fzboro (trghm%bgrg" mgynonfbfr8 :,I fjh0%toj 3L fjh0%omgngr ðbé+borno cbgj 0grn nfsmbor, ;LLL9A3LL novfr$sj%bfm efr 0ķzbg nðjoefbfr8 6gbg 0gzķrngmfsgeft nfsmborno, vorfjfj eubujnuu eðbioyo cmukg voyg ygzkg fœbokf ygpkgm +zoroubgœkgm féfj iorombf zgkgj ygmbgœķm H8:ksj9ILksj grgsķjng nofœkomtonfr8 )jhgm eunoorbor 0or yojf +r+j fbo m+é+bkomtonfr8

7;;

Agromot V&j8

g>gEc-bu?u

gj!ot Gmķ

Ec"fj

u !gz g- ķ ķ#0g9f9 nokfr j8>o$

Kgj!otfm %g"gmg

gj!ot c kg!gjV8zo!

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Eobbombor 

*geft nfsmbor, 2omfb ;:8;N%no iðr+bn++ ifef ctckgtfm efr pfmgeķj omsoj kfbf +zorfjo nfzfbkfœ pbgmbgrg eojzorbor8 Efbifbor, pbgmbgr +zorfjo sķrgbķ, fjnoms sķrgbķ voyg rgsiobo orfœfkbf cbgrgmnopcbgjķrbgr8 7opcbgjgj efbifborf cmukgm voyg ygzkgm gkghķybg mubbgjķbgj efrfk, #kgjyotfmnfsm s+r+h+% cbgrgm gnbgjnķrķbķr8

*geft nfsm s+r+h+ sfstokf, 2omfb ;:8;N%no iðr+bn++ ifef écm sgyķng cmu $ ygz mg`gsķjg sg0fpcbgefbfr8 !mu $ ygz mg`gbgrķ, nfsmbor grgsķjng eubujgrgm pbgķj 0or fmf y+zoyfjno eubujgjngfrosob fzbor +zorfjno efbifborf mgynotkom voyg cmukgm féfj mubbgjķbķrbgr8 !mu $ ygzmg`gbgrķjķj egbķ eubujnuu orfœfk mcbu gbnķķ mckutbgrg iðro 0gromot onorom mg`gbgrķ

 efbifjfj cmujghgķ voyg ygzķbghgķ eðbiobor +zorfjno mcjukbgjnķrķr8

!mu $ ygz mg`gbgrķjķ 0gromot ottfroj komgjfzkg, cmu $ ygz mg`gbgrķjķj pbgmbgr +zorfjno0gromot otkosfjf sgbgygj uygrķhķ sfstoknfr8 'ygrķhķ sfstoko egbķ cbgj mg`gbgr ngfrosob fzbor+zorfjno 0gromot onor8

Egsmķ novro, sgeft nfsmfj egbķ cbnuu nfor sfstokbor fbo uygrķhķ sfstokbor grgsķjngmf efbifgmķœķjķ sgbgr8 Egsmķ novro +zorfjno eubujgj obokgjbgr fbo, pbgmgbgrķj nðjko vo efbif cmukg

0ķzbgrķ mcjtrcb onfbfr8

"omfb 78#71# 6grn nfsm sfstokfjfj égbķœkg projsfef8

*geft nfsmbor iojobno sgeft cbgrgm kcjto onfbfrbor vo jcrkgb mubbgjķkng 0gromot otkozbor8Eujujbg eorgeor 0gromotbf cbgj vo tgœķjgefboj sgeft nfsmbor eubujkgmtgnķr vo eujbgr #nfsm

 pgmotborf% (nfsm hgrtrfnios" cbgrgm fsfkbojnfrfbfrbor8 Morf ycujbuu> sgeft nfsmborno pbgmg+zorfjno efr fjé mgroyo n+œoj vorf kfmtgrķnķr8 Morf ycujbuujuj e+y+m cbkgsķ sgeft nfsmfj

 por`crkgjsķjķ grttķrsg ng, sgeft nfsmborfj ðj+jno nurgj oj e+y+m ojiob vorf ycujbuujujécm ng0g `gzbg grttķrķbgkgkgsķnķr8 -bmf ;FIH yķbķjng WEK tgrg`ķjngj iobfœtfrfboj sgeft nfsmbor3&E$fjh3 vorf ycujbuujg sg0fptf8 3N fjh%bfm sgeft nfsmbornoj IL gnonf efr grgng mubbgjķbgrgmIKE%bķm nopcbgkg yotojof cbuœturubuycrnu8 3LLL yķbķ egœķjng ;A.E$fjh 3 vorf ycujbuujgubgœķbķrmoj, 3LL3 yķbķ ftfegrf fbo NL.E$fjh3 vorf ycujbuujg orfœfbnf vo mķsg s+ro féorfsfjno

;LL.E$fjh3

 vorf ycujbuujg orfœfbkosf 0ono`bojfycr8 )yrķhg, ygmķj iobohomto sgeft nfsmborfj

7;:

Ngfrosob fzbor #trghms$

Cmu/!gzmg9gbgrķ Egsmķ no>ro

Cmu/!gz mg9gbgrķjķ0gromot ottfrojkomgjfz kg

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Eobbombor 

yorfjf gbgefbohom yojf tomjcbc?fbor +zorfjno égbķœķbķycr8 .obojomsob kgjyotfm nopcbgkgyðjtokborfjfj yorfjf gbghgm eu tomjcbc?fbor fbo 3LL3 yķbķ ftfegrf fbo :LL.E$fjh3  vorfycujbuujg sg0fp 38I fjh%bfm sgeft nfsmbor +rotfbfycr8

1#6# b5,,' 9fmo. Nf.okborfKgjyotfm nfsmotbor fbo gyjķ ygpķng cbgj vo ‑`b5,,' nfmo.‖  voyg mķsghg ‑nfmo.‖  cbgrgmgnbgjnķrķbgj eobbombor, tom efr pbgmg ygpķsķjngmf pbgstfm kgbzokojfj +zorfjfj kgjyotfmkgbzoko fbo mgpbgjkgsķybg obno onfbfr8 6or fmf y+zoyfjo mgyķt ygpķbgefboj (ncupbo9sfnonrohcrnfji" nfsmotbor, I83I fjh0 voyg :,I fjh0 `bcppy nfsmot ðbé+borfjno vo A3L &Egyt voyg;,NN KEgyt mgpgsftosfjno fkgb onfbfrbor8 2u gjng ygyiķj cbgrgm :8I fjh0%bfm e+y+mb+mto vo;,NN KEgyt mgpgsftosfjno nfsmotbor mubbgjķbkgmtgnķr8

*ort pbgstfm ku0g`gzg féorfsfjno eubujgj nfsmotborno, 0or0gjif efr eobbom eðbiosfjo orfœfkzgkgjķ 0grn nfsmboro iðro ;L mgt ng0g `gzbgnķr vo efbif gmtgrķkķ écm ng0g ygvgœtķr8 )jhgm,n+œ+m `fygtbgrķ vo tgœķjgefbfr cbkgbgrķ `bcppy nfsmotborfj oj ðjokbf gvgjtg?bgrķnķr8

"omfb 78#76# 1bcppy nfsmotborno efbifborfj sgmbgjnķķ fz vo somtðrborfj cbuœturubkgsķ8

7;

  Nom.r (?ko&b).or!

-z.rg&m!

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Eobbombor 

7fsmotborfj mubbgjķbgefbkoborf féfj fkgbgtbgrķjngj scjrg `crkgtbgkg cbgrgm gnbgjnķrķbgjfœboko tgef tutubkgsķ ioromfr8 ‑5rkg.bgkg‖  fœbokf fbo nfsmotfj +zorfjnomf fzbor (trghm" vosomtðrbor (sohtcrs" eobfrbojfr8 !buœturubgj fz vo somtðr sgyķsķ, nfsmotfj mgpgsftosfjo iðronofœfr8 2omfb ;:8;I%no iðr+boj mķsķkbgrg gyrķbgj nfsmotfj fstojfboj gnrosfjo, fstojfboj efbif

y+mbojoefbfr86# =,.fm 9fm Eobbombor

!ptfm nfsm eobbombor, yojf efr eobbom tomjcbc?fsfnfr vo pfygsgng otmfj (nckfjgjt" cbkgyg gngyiðz+mkomtonfr8 <gbķœkg projsfef, écm fjho bgzor ķœķjķjķj nfsm +zorfjno ygjsķkgsķ vo#shgttorfji% fœbokfjo ngygjķr8 7fsmot +zorfjno ygjkg cbgyķ scjuhu cbuœgj kfmrcsmcefméumurbgr (pfts" #;% noorfjf, n+zb+mbor (bgjns" fso #L% noorfjf toksfb otkom féfj mubbgjķbķr(2omfb ;:8;H"8 *pfrgb cbgrgm 0gromot onoj fzbor fbo toksfb onfboj vorfbor, osmf pbgmgbgrng cbnuuifef, bgzor ķœķjbgrķ tgrg`ķjngj pfmgpbgrngmf fjojfj sosf cmukgsķ ifef cmujur8 !mujgj efbifjfjyðj+ féorfnoj nķœgrķyg ncrunur8

5jokbf efr ðzobbff écm y+msom efbif sgmbgkg mgpgsftosf cbgj cptfm nfsm eobbomborno, orfœfk

zgkgjķ vo vorf trgjs`or crgjķ 0grn nfsmborbo mķygsbgjghgm mgngr fyf efr nurukngnķr8 Eu eobbombor, ygzķbgefbkoborf nurukujg iðro `grmbķ fsfkborbo gjķbķrbgr8

Vgbjķzhg cmujgefboj nfsmbor, cptfm !K (!ptfhgb !K9!!K" voyg mckpgmt nfsm9!K(=ckpght 7fsm !K9=7 !K" cbgrgm gnbgjnķrķbķrbgr8 7g0g iojfœ eobbom mgpgsftosfjo sg0fpcptfm nfsmbor fso, #écm yðjb+ nf?ftgb nfsm97M7% cbgrgm gnbgjnķrķbķr8 Eu tfp eobbombor, écm

 e+y+m prcirgkbgrķ voyg sðzb+m $ gjsfmbcponf ifef iojfœ 0ghfkbf efbifborf sgmbgkgngmubbgjķbķrbgr8 !ptfm nfsm eobbomborf> =7%bor vo 7M7%bor egœbķmbgrķ gbtķjng fjhoboyobfk8

6#7# 92=K Eobbombor

*cjy vo J0fbfps%fj fœefrbff fbo iobfœtfrfboj =7%bor egœbgjiķétg sosborfj nf?ftgb `crkgttgmgynonfbkosf féfj iobfœtfrfbnf8 K+zfm `crkgtķ fbo mubbgjķbkgyg egœbgygj =7%borf `fbk fzboko`crkgtķ fbo #vfnoc =7%, efbifsgygr uyiubgkgbgrķ féfj #=79!K%, rosfk uyiubgkgbgrķ féfj#p0ctc =7% vo cyuj uyiubgkgbgrķ féfj #cyuj =7% tgmfp ottf8 Vgbjķzhg efr moro efbifygzķbgefboj cptfm nfsmbor, #efr moro ygz9écm moro cmu eobbombor% (Orfto cjho rogn kgjy9C!K" cbgrgm fsfkbojnfrfbfrbor8 Vojf iobfœtfrfboj ygpķk tomjcbc?fborf fbo +rotfboj yojfnojygzķbgefbfr (roOrftgebo" =7 !K%bgrg, fstojfbnff mgngr ygz9sfb fœbokf ygpķbgefbkomto vo eu=7%bor `bcppy nfsmotbor voyg kgjyotfm 0grn nfsmbor ifef mubbgjķbkgmtgnķr8

!ptfm nfsm eobbombor, i+j+k+zno écm mubbgjķbgj eobbom t+rborfjnoj efrfsf nurukujngnķr8Eujuj jonojborfjnoj efrfsf iojfœ eobbom mgpgsftosf fso, efr nforf uhuz efr yonomboko efrfkfcbkgsķnķr8 *tgjngrt =79!K%bgrng ygmbgœķm HL KEgyt vorf nopcbgjgefbkomtonfr8 =7%borfjygpķsķjng egœbgjiķétgj eorf cbgj iobfœkobor, `grmbķ stgjngrtbgrķj cbuœkgsķjg jonoj cbnu8!buœgj `grmbķ stgjngrtbgr, `grmbķ rojmborno mftgpbgr cbgrgm gnbgjnķrķbkgmtgnķrG

7:<

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Eobbombor 

• *os =7%borf tgjķkbgygj #on Eccm%,

• Morf =7%borf cbuœturkgm féfj #VobbcO Eccm%,

• œzgkgjbķ ncsygbgrķ sgmbgkgm féfj mubbgjķbgj =79f%bor (=7 Wjtorghtfvo" féfj

#.rooj Eccm%,• Vojfnoj ygzķbgefbfr =7%bor (=79" féfj #!rgjio Eccm%,

• Mfnoc9=7%bor féfj #Crfto Eccm%,

• =7 Jbus%bgr féfj #Ebuo Eccm%8

=7!K%bgr fbo fbifbf stgjngrtbgrķj notgybgrķ, eobbombor fbo fbifbf mftgpbgrng eubujgefbfr8

 

"omfb 78#70# !ptfm nfsm eobbomboro (=7!K" efbif ygzķbkgsķ fœbokf8

=7%bor +zorfjnomf efbifbor, ygmbgœķm H mk uzujbuujngmf spfrgb œombfjno fétoj nķœg ncrufborboyoj =7 y+zoyfjno yor gbķr8 =7%jfj egœbgjiķhķ (fbm fzf" cbgj #Xogn9fj9grog%jķj oj fémķskķjng != (gebo c` =cjtojts" cbgrgm gnbgjnķrķbgj vo sgeft s+r+h+nomf 1) (`fbogbbchgtfcj tgebo" iðrovfjf ygpgj efr eðb+k eubujur8 != eðbiosf, 0gjif vorfjfj y+zoyfjjorosfjno eubujgefbohof efbifsfjf féorfr8 Eu efbifborfj eubujnuu egœbgjiķé eðb+k+ efr fziojfœbffjnonfr8 Eu eðb+k+ tgmfp onoj FF fz%o sos, rosfk voyg vorf mgynonfboefbfr8 -zbor fbo,0orefrf 3:I3 Eyto%ngj cbuœgj somtðrbor cbuœturubkuœtur8 =7%jfj scj mķskķjng fso =7%jfj scj

mķskķ cbnuuju efbnfroj vo L%bgrngj cbuœgj efbifyf féoroj #Xcgn9!ut9)rog% eubujur8

7:7

  Nfsm

Éumur#pft$

N8zb8m#bgjn$

Cngmbgkg"c"fjf

Korhom

(rfzkg

1gzor

nf!cnu

6-ķm<nu!grbķnf!cn

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Eobbombor 

=7 !K%bgrg efbif ygzķbkgsķ fœbokf mgrkgœķm efr sfstokf ioromtfrfr8 -œbok tokobno, n+z efry+zoy +zorfjo bgzor fbo éumurbgr (pfts" cbuœturubkgsķ osgsķjg ngygjķr8 <umur vo n+zb+mbor fmf`grmbķ sovfyo cbgrgm #L% vo #;% efbifborfjf toksfb otkom gkghķybg mubbgjķbķr (2omfb ;:8;H"8

6opsf ;83 kk mgbķjbķķjng vo ;3 hk égpķjng cbgj =79!K%bgrng efbifbor, =79!K%uj pcbfmgrecjgt mgtkgjķjg écm m+é+m éumurbgr 0gbfjno egsķbķr vo cbuœgj éumurbgr #pft% cbgrgmfsfkbojnfrfbfr8 !buœturubgj pftbor ygmbgœķm L,;3 kfmrcj norfjbffjno, L,I kfmrcj iojfœbffjnovo L,9:,I kfmrcj uzujbuujngnķr8 <umurbgrķj grgsķjng eubujgj y+zoyo #n+zb+m% (bgjn" gnķvorfbfr8

!mukg fœbokf sķrgsķjng =79!K%uj y+zoyf bgzor ķœķm nokotf tgrg`ķjngj tgrgjķr8 grgkgsķrgsķjng n+zb+m vo éumurbgrngj ygjsķygj ķœķm nokotf `grmbķbķm iðstorfr8 Eu `grmbķbķm ķœķgnuygrbķ nfyct tgrg`ķjngj gbiķbgjgrgm, #L% vo #;% œombfjno f`gno onfboj sgyķsgb vorfbor œombfjonðj+œt+r+b+rbor (2omfb ;:8;H"8

=79!K%bgr efr moro ygzķbgefboj ygpķng +rotfbnfmborf ifef, yojfnoj ygzķbgefbfr(=79" ygpķngng +rotfbkomtonfrbor8 -mf =7 grgsķjng ygpķ cbgrgm `grmbķbķm eubujkgmtgnķrG =79!K%bgrng

ygjsķkg y+zoyf gb+kfjyukngj ygpķbķrmoj, =79%borno ygjsķkg y+zoyf gbtķjngjygpķbkgmtgnķr8

6#$# 9fJf.gb 3fno5 9fmborf 939‖bor ! @ 9f4f.gb 3org.fbo 9fm

=7!K%bgr (mķsghg =7" iojfœ eobbom mgpgsftoborf jonojf fbo e+y+m 0ghfkbf efbifborfjsgmbgjkgsķjg vo tgœķjkgsķjg fkmgj tgjķnķbgr8 7fsmotto tgœķjkgsķ k+km+j cbkgygj e+y+m0ghfkbf efbifborfj =7%boro mgynķ k+km+j cbnu8 HL KEyto efbif nopcbgkg mgpgsftosf fbo =7!K%bgr efbifsgygr ygzķbķkbgrķ ygjķ sķrg, `fbkborfj mgynķjķj efbo mgynonfboefbohof crtgkbgrcbuœturnubgr8

Efbifborfj, efr nfsm +zorfjo fjho bgzor nokotf fbo cbuœturubgj éumurbgrķj nurukujg iðromgynonfbnff =7%bor mķsg s+rono écm ygyiķj cbgrgm mubbgjķbkgyg egœbgnķ8 )jhgm, =7!K%bgrķj yorfjf mķsg s+rono 7M7%bor gbnķ8 7M7%bor egœbgjiķétg 7f?ftgb vfnoc crtgkķ féfjtgsgrbgjkķœ cbnumbgrķjngj, ‑9fJf.gb 3fno5 9fm‖ cbgrgm tgjķjnķbgr8 1fbk +rotfhfborf, +r+jborfjf7M7 crtgkķjg mķsg s+rono gngpto onorom, efrécm `fbkf 7M7 crtgkķjng pfygsgyg s+rn+bor87M7%jfj gsķb fskf fso, ‑é5m '%b? nfJf.gb nfm‖ gjbgkķjg ioboj ‑9fJf.gb 3org.fbo 9fm‖tfr87M7 eu fskfjf, fmf yðjb+ (nugb sfno" efbif mgynonfbkosf vo 0or yðj+jno fmf mgtkgj (nugbbgyor" eubujkgsķ jonojf fbo gbkgmtgnķr (2omfb ;:8;A"8 7M7%borno efrfjhf mgtkgjngmf efbifféorfnoj nķœgrķyg ncru cmujurmoj, fmfjhf mgtkgjngmf efbif nķœgrķngj féorfyo ncru cmujur8Eu ðzobbfm, mgtkgjbgr grgsķjng nofœfk sķrgsķjng bgzor mg g̀sķjķj 0gromotf féfj zgkgjmgyeonfbkokosfjf sgbgr8

Efbif sgmbgkg projsfef cbgrgm =7%boro eojzoyoj 7M7 (7f?ftgb Mfnoc 7fsm ygng 7f?ftgbMorsgtfbo 7fsh" eobbomborfj =7%borfj yorfjf 0ķzbķ efr œomfbno gbkgsķ jonojborf>

7:$

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Eobbombor 

f 9 )yjķ gbgjng écm ng0g iojfœ 0ghfkbf efbifborfj sgmbgjgefbkosf,

ff97M7 égbķhķ hf0gzbgrķj iobohofj rosfk mgynotko sfstokf cbgrgm jftobojnfrfbkosf,

cbgrgm sķrgbgjgefbfr8

7M7%bor +zorfjnomf mgpgsftojfj écm y+msom vo vorf gmtgrkg 0ķzķjķj ng0g s+rgtbf cbkgsķ,=7%bor fbo ygpķbgkgygj fœbokborfj ygpķbkgsķjg fkmgj tgjķkgmtgnķr8

939 @ 2=K N?r?&?borf% Mgbķœkg Cro%fef

7M7%bor, +zorf pcbfkor mgyķt mgtkgjķybg mgpbķ cbumbgrngj cbuœur8 7M7%bor égbķœkg projsfefcbgrgm =7%bor fbo e+y+m eojzorbfm tgœķr8 7M7%bor no ;3L kk égpķjng vo ;,3 kkmgbķjbķķjngnķr8 6or fmf obokgjng mubbgjķbgj tokob projsfp gyjķnķr8 6or fmf sfstokno no écmfjho efr bgzor nokotf, nfsm +zorfjno kfmrcsmcefm éumurbgr fbo f`gno onfboj sgyķsgb efbifyf cmur8

7M7 tomjcbc?fsfjfj sķrrķ, =7%no mubbgjķbgj tom mgtkgj yorfjo 7M7%no écm mgtkgjmubbgjķbgefbkosf (2omfb ;:8;A" vo 7M7%borno nfsm +zorfjno cbuœturubgj éumurbgrķj =7%boroiðro écm ng0g m+é+m ecyuttg cbkgsķnķr ( 2omfb ;:8;"8 =7%borno vorfborfj cbuœturnuu

éumurbgr L,:N kfmrcj uzujbuujng fmoj, 7M7%bor no eu ecyut L,N kfmrcjnur8 )yrķhg, =7+zorfjnomf spfrgb fz ;,H kfmrcj grgbķmbgrbg yor gbķrmoj, 7M7 +zorfjno L,AN kfmrcj kosg`ovgrnķr8 Eu ðbé+bor gyjķ ecyuttgmf 7M7%no, =7%yo iðro A mgt ng0g `gzbg efbif sgmbgygefbkomgpgsftosf sgbgr8 7fsm +zorfjnomf éumurbgrķj m+é+m ecyutbu cbkgsķ, 7M7%borno éumurbgrķtgrgygj bgzor nokotfjfj =7%borno mubbgjķbgj bgzor nokotfjo iðro écm ng0g fjho cbkgsķscjuhuju ncurur8

"omfb 78#7;8 om mgtkgjbķ vo éf`t mgtkgjbķ 7M7%jfj ygpķsķ fbo `grmbķ 7M7%borfj efbif sgmbgkgmgpgsftoborf8

Eujuj ygjķjng, 7M7%bor no mubbgjķbgj bgzor tfpf, =7%bor no cbnuu ifef mķzķbðtosf nofbmķrkķzķ bgzornfr8 7for efr nofœbo> =7%bor no AAL9:L kfmrcj grgsķjng ng0g ecyu, 7M7%borno fso H:I9HIL kfmrcj grgsķjng ngbig ecyu mubbgjķbķr8 7+zb+mboro vo éumurbgrg ncruyðjbojnfrfboj ķœķm nokotf, éumurbgrngj ng0g gz n+zb+mbornoj fso ng0g `gzbg ygjsķtķbķr8

Vgjsķtķbgj eu ķœķķj kfmtgrķjg iðro nf?ftgb vorf obno onfbfr8

7:8

g! j egsft 0gbfybo tom tgrg`bķ vo tommgtkgjbķ efr 7M7%jfj ygpķsķ8

e! om tgrg`bķ vo éf`t mgtkgjbķ 7M7%jfj ygpķsķ8 ;83kk%bfm mgbķjbķg sg0fp nfsmto fmf `grmbķ mgtkgj vgr8

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Eobbombor 

7M7%bor no tom y+z vo tom mgtkgj mubbgjķbkgsķ nurukujng N8AH .Egyt efbifnopcbgjgefbfrmoj, tom y+z éf`t mgtkgjng ,IH .Egyt, éf`t y+z tom mgtkgjng F,NH .Egyt voscj cbgrgm fmf y+z 9 0or y+zno éf`t mgtkgj mubbgjķbkgsķ nurukng ;A8H .Egyt%g mgngr efbifsgmbgkg mgpgsftosfjo ubgœķbkgmtgnķr8 =7%no tcpbgk mgpgsftojfj crtgbgkg HL KEgyt cbnuu

n+œ+j+b+rso, osmfnoj efrmgé =7%yo sķgefboj ygzķbķkbgrķj tom efr 7M7%yo yorboœtfrfboefbohof eubujur8 Eu mgpgsfto> tom efr 7M7%yo fmf sggtbfm efr `fbkfj tgkgkķjķj `grmbķ bfsgjng nuebg?vo :3 `grmbķ bfsgjng gbt ygzķ soéojof fbo mgynonfbkosf gjbgkķjg iobkomtonfr8 Eu ðzobbfmborfjonojf fbo, 7M7%yo oj e+y+m f0tfygé obojho vo `fbk somtðr+jnoj iobfycr8

"omfb 78#7:# =79!K vo 7M79!K%ngmf efbif tgœķygj éumurbgrķj mgrœķbgœtķrķbkgsķ8

7M7 s+r+h+borfj iorfyo ncru tomjcbc?f uyukbubuu mķsg s+rono ygyiķjbgœkgsķjķjsoeopborfjnoj efrf cbgrgm vorfboefbfr8 7M7 s+r+h+borno, =79!K%bgr scrujsuz cbgrgmmubbgjķbgefbfr8 =79!K%bgrķ cmukgm féfj, 7M7%borf cmukgng mubbgjķbgj y+msom ycujbumbubgzor nokotf #0cbcirgk bojs% ygrnķkķybg =79!K%bgrķ cmuygefbohom 0gbo iotfrfbfr (2omfb;:8;F" 8 Eu nurukng, gyjķ bgzor nokotf 0ok =79!K, 0ok no 7M79!K%bgrķ cmukgm féfjmubbgjķbķr8 )yrķhg, gyjķ bgzor nokotf 7M7%bornomf `grmbķ mgtkgjbgrg cngmbgjgrgm, cngmbgjnķķmgtkgjķ cmukgm féfj mubbgjķbķr8 _sttomf mgtkgj ygrķ ioéfrioj (trgjspgrojt" fmoj, gbt mgtkgjstgjngrt ygjsķtķhķ ygpķngnķr8 2omfb ;:83L%ng, =7 vo 7M7%borfj ðzobbfmborf

mgrœķbgœtķrķbkgmtgnķr8

7:1

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Eobbombor 

"omfb 78#7#  =79!K vo 7M79!K%bgrķj gyjķ komgjfzkg fbo cmujkgsķ8

Ðzobbfm 92=K 9392=K7fsm égpķ ;3L kk ;3L kk7fsm mgbķjbķķ ;,3 kk ;,3 k (L,H@3-z mgbķjbķķ ;,H kfmrcj L,N kfmrcjXgzor ngbig ecyu AAL9:L kk H:I9HIL kkXgzor tfpf &ķzķb ðtosf &ķrkķzķ bgzor  Morf mgyķt y+z+ ; ; voyg 3

Morf mgtkgjķ ; ; voyg 3&gpgsfto$mgtkgj H3 KE N,ALL KE&gpgsfto$888 H3 KE N8A9,I .Ecpbgk mgpgsfto H3 KE ;A .EMorf gmtgrķk 0ķzķ ;@ ;I:8 H&Eps ;:I &EpsMorf cmukg 0ķzķ :LA83 &Eps 3AAL &Eps

"omfb 78#$<# =79!K fbo 7M79!K%uj mgrœķbgœtķrķbkgsķ8

7M7 hf0gzbgr mubbgjķk yorborfjo iðro> 7M7 vfnoc, 7M7 gunfc, 7M79!K voyg 7M79)K cbgrgm irupbgrg gyrķbkgmtgnķr8

7M7%borno mubbgjķbgj bgzor nokotfjfj ycuj cbkgsķ ygjf ng0g mķsg ngbig ecyujg sg0fpcbkgsķ jonojf fbo éfzfm vo mfrbf 7M7%borno prcebok cbuœghgķ n+œ+j+boefbfr8 )jhgm

7:6

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Eobbombor 

7M7%borno mubbgjķbgj *9J= (oon *cbckcj Jrcnuht =cno" fsfkbf ðzob 0gtg n+zobtkotomjff fbo cbuœgefbohom 0gtgbgrķj ðj+jo ioéfbfr8

7M7 tomjcbc?fsfjfj 0gbg 0gzķrngmf oj e+y+m sgmķjhgsķ, ov mubbgjķhķbgrķ féfj mgyķt

cbgjgmbgrķjķj pg0gbķ cbkgsķnķr8

0# +grķ -bo.mo% Eobbombor 

Efbifsgygrbgrng gjg eobbom cbgrgm mubbgjķbgj vo éoœftbf ojtoirobor œombfjno fkgb onfboj ygrķfbotmoj eobbomborf egœbķhg fmf iruptg tcpbgygefbfrfz8

f9 Vgbjķz cmujgefboj eobbombor (ogn !jby Kokcrfos / !K "

ff9 !mujgefboj $ ygzķbgefboj eobbombor (ogn $ Crfto Kokcrfos / CK"

2omfb ;:83;%no iðstorfboj éoœftbf gbt irupbgrg gyrķbgefboj vo mckpboms efr ygpķyg sg0fp cbgjygrķ fbotmoj eobbomborfj ðzobbfmborfjf gyrķ gyrķ fjhoboyobfk8

   Vgrķ ļbotmojEobbombor

Cmu /VgzEobbombor  

Ugs,obo)rf-fkbf

Eobbombor #UGK$ 

%rgjsfst&rborfbo

Vgpķbgjbgr  

KC*%omjcbc+fsf

fbo Vgpķbgjbgr  

*tgtfm UGKbgr*UGKbgr  

Nfjgkfm UGKbgrNUGKbgr  

.uhu<cbkg!gjUGKbgr<7PUGKbgr  

*tgtfm UGKbgr*UGKbgr  

VgbjķzhgCmujg"fboj

Eobbombor #UCK$ 

Efpcbgr%rgjsfst&rbor'bo Vgpķbgjbgr  

Kgsmo UCK 

(UCK 

Kgsmo UCK 

(UCK 

)(UCK 

))UCK 

KC*%omjcbc+fsf

fbo Vgpķbgjbgr  

*ķrgbķ )rf-fkbfEobbombor  

"omfb 78#$7# Vgrķ fbotmoj eobbom éoœftborf8

0#7# +gb%ķz&g =m)%gefbo% Eobbombor 2=K‖bgr!

)nķjngj ng gjbgœķbghgķ +zoro, ygbjķzhg efbif cmujkgsķ ygpķbgefboj eobbombornfr8 Efbifjfjsgeft cbgrgm tutubkgsķ fstojfboj vo sķm cbgrgm nofœkosfjo iorom cbkgygj nurukbgrng $yorborno mubbgjķbķrbgr8 Efbifsgygrbgr, ygzgr mgsgbgr, i+vojbfm sfstokborf vo ov gbotborf

!K%bgrķj mubbgjķk yorborfjnoj efr mgéķnķr8

7:0

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Eobbombor 

!K eobbomboro efbif, +rotfhf tgrg`ķjngj +rotfk sķrgsķjng voyg ng0g scjrg obomtrfmsob cbgrgmy+mbojfr8 V+mbojoj efbifbor uéuhu nofbnfr vo obomtrfm mosfbso ng0f sfbfjkoz8 Efbif y+mbokofœbokf, !K%uj prcirgkbgkgsķ voyg ygmķbkgsķ cbgrgm fsfkbojnfrfbfr8

"omfb 78#$$# 7g0fbf mcn éðz+h+b+ !K novrosf bc?fm œokgsķ8

7:;

: @ &cn <ðz+h+

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Eobbombor 

Egzķ tfp !K%bgr sgnoho efr moz prcirgkbgjgefbko ðzobbffjno fmoj, efr mķskķ obomtrfmsobcbgrgm sfbfjfp tomrgr prcirgkbgjgefbfrbor8 Jrcirgkbgjgefboj vo sfbfjoefboj !K%bgr gœgķngmfgbt irupbgrg gyrķbķrbgrG

f9 Jrcirgkbgjgefboj !K / J!K (Jrcirgkkgebo ogn !jby Kokcry",ff9 'btrgvfcbo ķœķjbg sfbfjfp prcirgkbgjgefboj !K9J!K (rgsgebo J!K9

J!K",

fff9 bomtrfmbo sfbfjfp prcirgkbgjgefboj !K9J!K93J!K (bohtrfhgbbyrgsgebo J!K"8

Ecœ cbgrgm tokfj onfboj eu +é t+r !K%bgr mubbgjķhķ tgrg`ķjngj fstojfboj œomfbno prcirgkbgjgefbfrbor8

2omfb ;:83:%no ebcm œokg fbo iðstorfboj !K eobbombor, +é `grmbķ tfp sfjygb irueu ifrfœfjosg0fptfrG )nros ifrfœborf, mcjtrcb ifrfœborf vo vorf ifrfœborf8

2omfb ;:83:%nomf !K, 3N

D ;H `grmbķ gnros ifrfœfjo sg0fp cbnuujngj ;H mobfko sgmbgygefbfr86or efr mobfko eft (; egyt" cbnuujngj vorf éķmķœķ vgrnķr vo eujuj scjuhu cbgrgm eobbom,;H@ !K cbgrgm tgjķkbgjķr8

"omfb 78#$8# !K ebcm œokgsķ8

!K eobbomborfj écujuj vorf éķmķœķ +é mcjukbu (trfstgto" ygpķngnķr8 Eu ðzobbfm, eobbomiojfœbotfbkosf sķrgsķjng efrnoj `gzbg !K ojtoirosfjfj gyjķ vorf ycbuju (eus" mubbgjkgsķjgfkmgj tgjķr8

=* (h0fp soboht" cbgrgm tg fsfkbojnfrfboj mcjtrcb ifrfœf, efr yotmfbojnfrko (ojgebo" ifrfœfnfr vo

!K%uj éķmķœķjķj yotmfbf voyg yotmfsfz cbkgsķjķ eobfrbor8 Egzķ +rotfhfbor, mcjtrcb ifrfœfjf =*

7::

 

758>"CK

N4 N= N2 N; N: N3 NL 

 G:  G3  GL  G 

Morf<ķmķœbgrķ

=*(=0fp *oboht"9 yotmfbojnfrko

&cjtrcb .frfœf

_é mcjukbu <ķmķœ

)nrosifrfœborf

PMhh

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Eobbombor 

yorfjo, = (h0fp ojgebo" voyg ! (!utput ojgebo" cbgrgm iðstorkomtonfrbor8 &cjtrcbifrfœborfjfj sgyķsķ efrnoj `gzbg cbgefbfr8 Eu ifrfœbornoj efrfsf, !K%uj mubbgjķbkgnķķnurukbgrng stgjn9ey nurukujg iobkosfjf sgbgr8

 

PM77 PM77 

PMhh PMhh

E6(C1GU

KC*

Lf nopcbgkg

Lf nopcbgkg

ķ nopcbgkg

ķ nopcbgkg

(UCUGK1G7GE'1)7EG1G7%61GU

"CK Kgtrfsf

?/0N)")K9)/$1$!^GK(C69G"$

Gnros 1%n /ð4òhò

N:  N3  NL N 

="ļ /$1$!9G"$

Gnros2frfœborf

'&'afp yotmfbojnfrko*

 G 

 GL 

 G3 

 G

 GL

 G3>8<

"CK

Phh

H)

N

NL

N3 

N: 

 Gnros frf-borf#G3O GLO G$

H0fp !otmfbojnfrkoH)

Porf Éķmķ-bgrķ#N:O N3O NLO N$

)smf Gnros Vojf Gnros

Mg!gj Éķmķ-bgrPorf Éķmķ-bgrķ

L

L

L

t  tL  t3  t: 

)rf-fk@gkgjķ

#tghh$

"omfb 78#$1# !K eobbomborno cmukg fœbokf gœgkgbgrķ8

Ebcm œokgng, cmu $ ygz (rogn $ Orfto 9 $C" ifrfœf ycmtur8 <+jm+ jcrkgb fœbok sķrgsķjng!K%g efbif ygzķbkgsķ k+km+j nofbnfr8 Efbifborfj cmujkgsķ sķrgsķjng fmf fœbokfj ygpķbkgsķioromfrG 'yiuj gnros ifrfœborfjfj uyiubgjkgsķ vo mcjtrcb ifrfœborfjfj gmtf` 0gbo iotfrfbkosf85rjofj> !K féorfsfjnomf #L;;;% gnrosfjnomf efbifborf cmukgm fstfycrsgm> ):)3);)LDL;;;

7:

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  Eobbombor 

noorborfjf gnros ifrfœborfjo uyiubgkgkķz vo =* ifrfœfjf #L% ygpkgkķz ioromfr8 Eu nurukngfbifbf gnrostomf efbif, vorf éķmķœbgrķjng iðz+m+r8 =*%jfj #;% cbkgsķ nurukujng, éķmķœ y+msomokpongjs (6f9B" mcjukujng cbur8

2omfb ;:83N%no yotmfbojnfrko ifrfœfjfj nurukujg iðro @N !K eobbom ojtoirosfjno‑5m)kg‖  fœbokf ðzotbojkomtonfr8 )nros 0gtbgrķjngj ioboj efbifborfj gnros ifrfœborfjouyiubgjkgsķ vo yotmfbojnfrko ifrfœfjo uyiuj sfjygbfj vorfbkosf fbo, eobbomtoj cmujgj efbif#orfœfk zgkgjķ% mgngr scjrg vorf éķmķœbgrķjng iðz+m+r8 2omfbnomf zgkgjbgkg œokgsķjng t; vot: grgsķjng ioéoj zgkgj, ‑orfœfk zgkg%ķ%ķ‖ f`gno onor8 !K tfpf eobbomborfj orfœfk zgkgjķ,trgjsfstcrborbo cbuœturubgjbgrķjng ;L jsj fbo IL jsj grgsķjng nofœfrmoj, K!* tomjcbc?f fbocbuœturubgjbgrķjng :I jsj fbo ILL jsj grgsķjng nofœfr8

0#7#7# 2=K Eobbomborf% +g,ķķ

!K eobbombor nðrt tokob pgrégngj cbuœurG *gtķr mcn éðz+h+, s+tuj mcn éðz+h+, mgynonfhfborvo éķmķœ tgkpcjbgrķ8 <cm mgrķœķm efr ygpķyg sg0fp cbgj !K ojtoirobor, 2omfb ;:83I%nomf ifef

 egsftboœtfrfboefbfr8

;H@ mgpgsftonomf efr !K eobbofj ygpķsķjng eubujgj iojob mķsķkbgrķ 2omfb ;:83I%f ro`orgjsgbgrgm mķsghg géķmbgygbķk8

f (g'nonf&fbor   &gynonfhfbor, !K féorfsfjno vorf nopcbgkgm féfj mubbgjķbķr8 6or efrmgynonfhf, mobfko uzujbuujg oœft sgyķng eobbom 0+hrosf (ðrjofj, eft voyg ;H eft" féorfr8Eobbom 0+hroborf iojobno mgro kgtrfs nfzfsf œombfjno n+zojbojfr vo sgtķr $ s+tuj jukgrgbgrķ fbotgjķkbgjķr8 6or efr mgynonfhfno eubujgj vorf éķmķœbgrķ, t+k novroyf ncbgœgj ng0fbf vorf ycbujg

 egbgjķr8 6or efr mgynonfhf, fmf gnot yotmfbojnfrko (" ifrfœfjo sg0fptfr vo vorfjfj ycbgmcjubgefbkosf féfj 0or fmfsfjfj #;% mcjukujng cbkgsķ ioromfr8

ff Gnro (5n éz?&?borf  )nros mcn éðz+h+b+borf, ‑g.ķr vo ?.)% m5n éz?&?borf‖ cbgrgmfsfkbojnfrfbfr8 )nros mcnu cbgrgm fsfkbojnfrfboj ):)3);)L  ifrfœborfjnomf efbifbor, nfzfnomf0gjif mgynonfhf efbifsfjfj vorf ycbu +zorfjo yorboœtfrfbohofjf eobfrbor8 );)L  gnros eftborf>sgtķr soéko gkghķybg sgtķr mcn éðz+h+s+jo uyiubgjķrmoj, ) :)3  gnros eftborf> efr s+tujujsoéfbkosfjf sgbgkgm féfj s+tuj soéko mcn éðz+h+s+jo uyiubgjķr8 )nros efbifborfjfjuyiubgjkgsķ fbo, ygbjķzhg efr mgynonfhf gnros ifrfœborf tgrg`ķjngj s+tuj vo sgtķr cbgrgm soéfbfrvo soéfboj eu mgynonfhf yotmfbojnfrfbfr8

5rjofj> #;;L;% gnros ifrfœborf fbo, ):)3D;; cbur vo :8 s+tuju soéoj 0gt gmtf` nurukg iobfr8);)L D L; noorborf fbo ;8 sgtķr gmtf` nurukg iobfr vo 0or fmf (yotmfbojnfrko" ifrfœf #;% cbgj;: jcbu mgynonfhf, efbifsfjf tgœķtg mcygr8

fff Mķmķœ *gk,5%bgrķ   )nros ifrfœborf tgrg`ķjngj yotmfbojnfrfboj mgynonfhf, efbifborfjf vorf

ycbujg yorboœtfrfr vo eu vorfbor, vorfyf 0grfhf vorf éķmķœbgrķjg gmtgrgj éķmķœ tgkpcjbgrķjg

7<

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Eobbombor 

uyiubgjķr8 =*%jfj #L% cbkgsķ fbo vorfbor éķmķœbgrg gmtgrķbķrmoj, =*%jfj #;% cbkgsķ fbo tgkpcjbgr6f9B nurukujg iobfr vo 7L 97A éķmķœbgrķ cbuœkgz8

Eobbom ojtoirosfjno eubujgj mķsķkbgrķ géķmbgnķmtgj scjrg, eobbom ygpķsķ fbo fbifbf nfor

ðzobbfmborf fjhoboyobfk82omfb ;:83I%no iðstorfboj ygpķ efrécm ojtoiro féfj eojzornfr, gjhgm eobbom mķsķkbgrķnopcbgjgj efbifjfj sgyķsķjg iðro œomfb gbķr8 5rjofj> Wjtob 3AL ojtoirosf KL* !Kygpķngnķr vo ;L3N gnot 9eft efbifyf nopcbgr8 Eu efbifbor, HNY;H nfzfsf œombfjno sgmbgjķr8

"omfb 78#$6# ;H@ !K%uj ygpķsķ8

77

 

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;FL

Mcn É&z8h8

:

3

L

 G 

 GL  K*E

;FL

Mcn É&z8h8

:

3

L

 G3 

 G:  K*E

*gtķr

*gtķr L

*gtķr 3

*gtķr :

*8tuj *8tuj L *8tuj :*8tuj 3

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=orf V%bu ;>:

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*G%6U *)ÉK)

*D%.7 *)ÉK)*8tuj

*8tuj L

*8tuj :

*8tuj 3

Éķmķ-

) %gkpcjbgrķ

N4 N= N2 N; N: N3 NLN 

H*Aor mg!nonfhf "fr gnot

I<"ft mobfko sgmbgrB

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  Eobbombor 

Ðr%om 7  N &Eyto efbifyf sgmbgkgm gkghķybg mubbgjķbgj vo mgro eobbom nfzfsf œombfjno cbgj efr !K%uj ygpķsķjķ géķmbgygbķkG

N &E efbif N@;L3N D NLFH Eyto cbnuujngj, !K%ng NLFH gnot eftbfm vorf sgmbgjgefbfr8Eu nurukng, 0or efrf eft sgmbgkg mgpgsftosfjno cbgj NLFH gnot mgynonfhf eubujkgsķioromfr8 NLFHDHN3 cbnuujngj, mgynonfhf nfzfsf HN@HN ygpķsķjng cbur vo eobbomto HN sgtķr/HNs+tuj eubujur8 HN%no ; mcn éðz+h+ féfj (sgtķrbgr féfj" H gnros ifrfœf ioromfr8 )yjķ œomfbnos+tujbgr féfjno H gnros ifrfœf eubujur vo 3;3D NLFH cbnuujngj, NLFH `grmbķ gnros crtgygéķmgr8

Eurgng gjbgtķbgj !K tfpf eobbomborno, sgtķr vo s+tujbgrng eubujgj mcn éðz+h+ obokgjbgrbg eobfrbf efr gnroso ubgœķbķr8 'bgœķbgj gnrosto eubujgj efbifbor éķmķœg gmtgrķbķr8 Efbifborfjsgmbgjkgsķjng nfyct9trgjsfstðr voyg K!*1%bornoj `gyngbgjķbķr8

Ðr%om $  2omfb ;:83H%ng :3@:3 kgtrfsfjo iðro égbķœgj vo ;L3N eftbfm eobbom 0+hrosf féoroj,

tfpfm efr !K ojtoirosfjfj ebcm œokgsķ iðr+bkomtonfr8

7$

 

 G2  G=  G4 

*8tujgnrosf

) )L 

Eobbom!otmfbojnfrko

:3 sgtķr0gttķ

*gtķr mcn&z8h82F:3

 G  GL  G3  G:  G; 

*gtķrgnrosf :3F:3

"obbom nfzfsf

:3 s8tuj0gtbgrķ

*8tuj mcn &z8h8borf#; gnot LFI mcn

&z8h8borf$ >o 6/Cno>roborf

Éķmķ-tgkpcjbgrķ

:  3  L   

(; &E"

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Eobbombor 

"omfb 78#$0# :3@:3 kgtrfsbf ;L3N eft mgpgsftobf !K%uj ebcm œokgsķ8

eftbfm gnros ()L 88)A" ygrnķkķ fbo eobbomto eubujgj N eftbfm jfppbo%bor cmujur8 Eu ojtoirono,

eftbfm gnrostoj I tgjosf ()L);)3):)N" :3%no ; éķmķœg sg0fp mcn éðz+h+ ygrnķkķ fbo uyiujgnrosf eobfrbor (sgtķr cbgrgm9 :3@\"8 &gbgj : gnros ifrfœf fbo, ()I)H)A" N gnot %no ; mcnéðz+h+bornoj efrfsf soéfbfr8 N gnot %no ; mcn éðz+h+j+j éķmķœķ, eobbom yotmfbojnfrko (EV"ifrfœborf ygrnķkķybg y+msom okpongjsbķ éķmķœ 0gbfjo nðj+œt+r+r vo eu eobbofj mgpgsftosfjfiojfœbotko nurukbgrķjng mcbgybķm sgbgr8

0#7#$# 2=K Eobbom Moœf.borf

Jrcirgkbgkg, sfbfjko vo yojfnoj prcirgkbgkg egmķœ géķsķ fbo `grmbķ ygpķng !K eobbombor eubujkgmtgnķrG

f9 Kgsmo prcirgkbķ !K%bgr,

ff9 Jrcirgkbgjgefbfr !K%bgr,

fff9 *fbfjoefbfr9prcirgkbgjgefbfr !K%bgr,

fv9 bomtrfmsob cbgrgm sfbfjfp prcirgkbgjgefbfr !K%bgr8

Eu irupbgrķ, gyjķ projsfeo iðro égbķœgjbgrķ gyjķ egœbķm gbtķjng cbkgm +zoro fjhoboyobfk8

f Kgmo Cr54rgkbķ 2=K‖bgr K2=K!

Kgsmo prcirgkbķ !K eobbom (K!K", t+motfhf fstofjo egbķ cbgrgm +rotfhf tgrg`ķjngj prcirgkbgjkķœ nopcbgkg eðbioborfjo sg0fptfr8 jtoiro féorfsfjno obomtrfmsob egbgjtķ, kgsmcbgrgm fsfkbojnfrfboj joigtf` `ctcrg`fm kgbzokojfj mubbgjķbkgsķ fbo sgbgjķr8

!K féorfsfjno nopcbgjgj 0or efr efbif irueu (sotf" féfj ðzob efr kgsmo ioromtffjnoj vo eu

kgsmobor pg0gbķ cbnuujngj, eu tfp !K eobbombor ygbjķzhg gyjķ tfp efbifborfj (eobfrbfkgtokgtfmsob tgebcbgr vo iðstoriobor féfj mgrgmtor ?ojorgtðr mcnbgrķ ifef" !K féorfsfjnosgmbgjkgsķ nurukujng mubbgjķbķr8 Eu tfp eobbomborfj oj ðjokbf nozgvgjtg?ķ> nopcbgjgjvorfjfj nofœtfrfbkosf ioromtffjno, eobbom ygpķsķjķj eujg fkmgj tgjķkgkgsķnķr8 Eujujygjķjng, écm e+y+m 0ghfkbf eobfrbf tfp vorfborf sgmbgkgm féfj mubbgjķbghgm oj omcjckfm eobbomt+r+, K!K eobbombornfr8 Kgsmo prcirgkbķ eobbomborfj kg0suruju crtgngj mgbnķrkgmgkghķybg, mubbgjķhķ tgrg`ķjngj prcirgkbgjgefboj !K eobbombor iobfœtfrfbkfœtfr8

K!K eobbomborno efbif sgmbgkgm féfj nfyct vo trgjsfstðrbornoj `gyngbgjķbķr8 7fyct votrgjsfstðrbor, #L% voyg #;% noorfjf sgmbgyghgm œomfbno œomfbbojnfrfbfr8 2omfb ;:83A%no nðrts+tujngj cbuœgj vo 0or efr s+tujuj nðrt 0+hro féornff, ;H eobbom 0+hrobf m+é+m efr efpcbgrK!K eobbofj ygpķsķ iðr+bkomtonfr8 6or efr 0+hrojfj 4J4 tfpf efr trgjsfstðrbo f`gnoonfbnff eu sfstokno, trgjsfstðrbor mcbbomtðr+ œgso tfpto egbgkķœbgrnķr vo eoyz ifrfœ, okftorfso éķmķœ cbgrgm mubbgjķbkgmtgnķr8 6or efr sgtķr N eft mgynonfhf cbgrgm n+œ+j+boefbfr vo

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  Eobbombor 

trgjsfstcr eoyzborfjfj fbifbf sgtķrķj yotmfbojnfrko 0gttķjg egbgjkgsķ ;%f toksfb onormoj, egbgjkgkgsķ L%ķ toksfb onor8 6or efr eoyz egbgjtķsķjķj nuruku, t+motfhfjfj fstofjo uyiujcbgrgm +rotfk sķrgsķjng `ctcrg`fm kgsmo tgrg`ķjngj mcjtrcb onfbfr8

2omfb ;:83A%noj iðr+bohof +zoro, efrnoj `gzbg trgjsfstðr+j éķmķœķ (okftorf" gyjķ s+tuj 0gttķjg egbķnķr vo eu prcebok cbgrgm n+œ+j+boefbfr8 )jhgm 0or0gjif efr gjng ygbjķzhg efr sgtķrg egbķ obokgj gmtf` cbghgķjngj, eu nuruk efr prcebok cbuœturkgz8 6gjif sgtķrķj gmtf`cbghgķ, );)L gnros ifrfœborfjfj nurukujg iðro mcn éðz+h+ tgrg`ķjngj eobfrbojfr8 &cn éðz+h+novroyo uyiubgjgj yotmfbojnfrko (4" ifrfœfjfj #;% ygpķbkgsķ fbo, mcn éðz+h+ éķmķœbgrķ #L%mcjukuju gbķr vo t+k trgjsfstðrbor eoyz iorfbfkf cbkgkgsķ jonojfybo mosfj nurukujgioéorbor8 Eu nurukng t+k vorf éķmķœbgrķ #L% mcjukujngnķr8 Votmfbojnfrko ifrfœfjfj #L%cbkgsķ nurukujng, gnros ifrfœborfjfj nurukujg egbķ cbgrgm uyiuj sgtķr eobfrbojfr vo fbifbfvorfjfj éķmķœbgrng cbuœkgsķ sgbgjķr8

"omfb 78#$;8 ;H eobbom 0+hrobf K!K eobbofj ygpķsķ8

Efpcbgr K!K eobbomborfj oj ygyiķj cbgjbgrķjngj efrfsf, 3IH@N eobbom ygpķsķjg sg0fp AN;Aojtoirosfnfr8 7for tgrg`tgj, AN) !K ojtoirosf :3@ mgpgsftobf efpcbgr !K ygpķng voK* NA3IH ojtoirosf :3&@ mgpgsftono 4K!* ygpķng eobbombornfr8 2omfb ;:83%no, :3@mgpgsftobf ANN !K ojtoirosfjfj bc?fm œokgsķ iðr+bkomtonfr8

K!*1 ygpķngmf eobbombor, +é mcjukbu éķmķœbgrķ jonojfybo efbifsgygr vorf tgœķtbgrķjg mcbgy

 egbgjķrbgr vo #stgjn9ey% nurukbgrķ jonojfybo eobbofj mubbgjķbkgnķķ gjbgrng écm gz i+é

71

 

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Eobbombor 

t+motfkfjo sg0fp cburbgr8

"omfb78#$:# :3@ mgpgsftobf AN ojtoirosfjfj bc?fm œokgsķ8

ff Cr54rgkbg%gefbfr 2=K‖bgr C2=K!

Kgsmo / prcirgkbķ !K%bgrķj écm pg0gbķ vo ygbjķzhg écm iojfœ 0ghfkbf uyiubgkgbgrnguyiubgjgefbfr cbkgsķ jonojfybo> ng0g m+é+m égpbķ uyiubgkgbgr féfj, +rotfk sķrgsķjng

 prcirgkbgjkgygj, mubbgjķkg iðro t+motfhf tgrg`ķjngj prcirgkbgjgefboj #sficrtg egķjtķbķ%(`usfebo9bfjm" J!K%bgr iobfœtfrfbkfœtfr8 Eu tfp eobbombor, K!K eobbombor ifef efr moro

 prcirgkbgjķjhg sfbfjokoz vo yojfnoj prcirgkbgjgkgz8 Eu jonojbo, prcirgkbgkgng efr 0gtgcbuœtuu voyg féorfsfjnomf prcirgkķj nofœkosf ioromtff nurukbgrng, K!K tfpf

 eobbomborfj gtķbkgsķ ioromfr8 Eu ðzobbfm jonojfybo, eu tfp eobbombor #efr moro prcirgkbgjgefbfr!K%bgr% cbgrgm gnbgjnķrķbķr8 Kgsmo prcirgkbķ !K%bgrg +st+jb++, mubbgjķhķ tgrg`ķjngj

 prcirgkbgjgefbkosf cbgj J!K%bgrķj, prcirgkbgkg fœbokfjno sficrtgbgrķ gttķrkgm féfj ILk)%bfm gmķk mubbgjķbķr8

*ficrtg egbgjtķbķ J!K, ygpķ cbgrgm K!K%bgrg eojzor vo #;% vo #L% nurukbgrķjķcbuœturkgm féfj sficrtgbķ mķsķk cbnuu ifef eķrgmķbķr (;%f toksfb onor" voyg géķm novro (L%ķtoksfb onor" 0gbfjo iotfrfbfr (2omfb ;:83F8g"8 _rotfhf tgrg ķ̀jngj 2omfb ;:83F8e%no iðr+bojœomfbno fkgb onfboj J!K%bgr, sgmbgjkgm fstojoj vorfyo iðro œomfbbojnfrfbfrmoj> sficrtgjķjgrtkgsķjķ sgbgyghgm efr gmķkķ cbuœturghgm iorfbfk mcjtrcbb+ cbgrgm novroyo uyiubgjķr87ovrono cbuœgj gmķk, efr sficrtgjķj gtkgsķ œombfjno otmf cbuœturgrgm géķm novro cbuœkgsķjgjonoj cbur8 )éķm novro cbgj mķsķk tomrgr osmf 0gbfjo nðj+œt+r+bokoz8 6gbg 0gzķrng, J!K

 eobbom obokgjbgrķjķj efbifsgygr ygrnķkķybg fstojfboj œomfbno prcirgkbgjkgsķjķ sgbgygj écmsgyķng prcirgkbgyķhķ novrosf eubujkgmtgnķr8

J!K%uj prcirgkbgjkgsķ fbo cbuœgj ygpķ, J!K%uj mgpgsftosfjo iðro œomfbbojfr8 3IH Eft

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  Eobbombor 

mgpgsftosfjnomf efr J!K%ng> 0or efr 0gttg eftbfm efbif sgmbgjkgsķ nurukujng, gnros mcnéðz+h+ eoœ ifrfœ 0gttķjg mgrœķbķm 3I D :3 éķmķœ 0gttķjķ féorfr8 6or efr éķmķœ 0gttķ fbo soéfboj

 eðbiono eftbfm eðbioyo ubgœķbnķķjngj J!K%uj mgpgsftosf :3Y D 3IH eft cbur

g!

 

70

 

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Eobbombor 

 

e!

"omfb 78#$# J!K%bgrng efr 0+hroyf prcirgkbgkgm féfj mubbgjķbgj sficrtg egķjtķbgrķ8

J!K ojtoirobor efpcbgr trgjsfstðr ygpķsķjng (n+œ+m ycujbum, y+msom 0ķz vo y+msom i+ét+motfkf" voyg K!* ygpķsķjng (y+msom ycujbum, n+œ+m 0ķz vo n+œ+m i+é t+motfkf" fkgbonfbkomtonfrbor8 Eu nurukng, Efpcbgr trgjsfstcrbor mubbgjķbgrgm fkgb onfboj J!K%bgr, K!*tomjcbc?fsf mubbgjgj J!K%bgrg iðro ng0g 0ķzbķ vo uhuznur8 Eujg mgrœķbķm, K!* tomjcbc?fsfmubbgjķbgj ojtoirobor, ng0g y+msom eobbom mgpgsftosfjo sg0fp cbgefbfr8

AN;H ojtoirosf> HN@ mgpgsftosfjno, orfœfk zgkgjķ IL jsj cbgj pcp+bor efr J!Kojtoirosfnfr8 EJ3I;HH ojtoirosf> 3&@ mgpgsftosfjno, K*3AJ=3IH ojtoirosf fso, :3&@mgpgsftosfjno, ;3L jsj orfœfk zgkgjķjg vo #stgjn9ey% mcjukujng ;8N kC i+é t+motfkfjosg0fp J!K tfpf ojtoirobornfr8

J!K%bgrķj mubbgjķk yorfjo ðrjom cbgrgm, égkgœķr kgmfjosf, kfmrc ngbig `ķrķj, eubgœķmkgmfjosf, ve8 uyiubgkg yorborf vorfboefbfr8

fff Nfbf%oefbfr @ Cr54rgkbg%gefbfr 2=K Lrggebo Cr54rgkkgebo 2=K@LC2=K!

*fbfjfp9prcirgkbgjgefbfr !K eobbombor (J!K", mubbgjķhķ tgrg`ķjngj prcirgkbgjgefboj vofstojfbnff nurukbgrng sfbfjorom tomrgr prcirgkbgkg fkmgjķ tgjķygj eobbom t+rborfnfr8 Efr moro

 prcirgkbgjgj J!K%ng, sgmbgjgj efbif uéuhu nofbnfr vo nopcbgjgj efbif scjsuzg mgngrmcrujur8 J!K%uj prcirgkbgjkgsķ féfj ðzob prcirgkbgkg novrosf iorombfnfr vo

 prcirgkbgkg novrosf féfj ;L ∲ 3I M grgsķjng efr iorfbfk mubbgjķbķr8 Eu iorfbfk fbo, ojtoirojfjféorfsfjnomf trgjsfstðrbor L%ķ toksfb otkosf féfj fbotfk (!4" mcjukujg iotfrfbfr voyg ;%f toksfbotkosf féfj cbnuu mcjukng eķrgmķbķr8

6or efr gnrosfj, féorfsfjno sgmbgjghgm vorfyo iðro prcirgkbgjnķķ J!K ojtoirosfféorfsfjnomf efbifborfj sfbfjkosf fstojfbnff nurukbgrng> ojtoirojfj +zorfjnomf pojhorogéķbgrgm J!K%g ygmbgœķm 3L ngmfmg ubtrgvfycbo ('M" ķœķm uyiubgjķr8 'btrgvfycbo ķœķmJ!K féorfsfjno efr gmķk cbuœturgrgm, sfbfmcj obokgjķj ygpķsķjķ fkgbgt sķrgsķjngmfmcjukujg (t+k trgjsfstðrbor !11" iorf nðjnorfr vo t+k 0+hrobor #;% noorfjf gbķr8Jrcirgkbgjkķœ efr J!K%uj ygbjķzhg eobfrbf efr mķskķjķ yojfnoj prcirgkbgkg cbgjgķycmtur8 *fbko fœbokf fbo t+k efbif sgmbgkg 0+hroborf sfbfjfr (#;% nurukg iotfrfbfr" vo sfbfjoj

J!K t+k cbgrgm tomrgr prcirgkbgjgefbfr8 J!K prcirgkbgjnķmtgj scjrg +zorf #stfhmor%

7;

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  Eobbombor 

fbo mgpgtķbķr8 *fbfjkosf féfj +zorf géķbgrgm ojtoirojfj +zorfjnomf pojhoronoj ubtrgvfycbo ķœķķjféorf ifrkosf sgbgjķr8

Jfygsgng écm `grmbķ mgpgsftoyo vo orfœfk zgkgjķjg sg0fp J!K obokgjbgrķ eubujkgmtgnķr8

Jfygsgng 3A\\ sorfsf J!K%bgr ygyiķj cbgrgm mubbgjķbkgmtgnķr8 3A\\ sorfsf J!K%bgr eft iojfœbffjno efbif nopcbgkg mgpgsftosfjnonfrbor8 2omfb ;:8:L%ng ygyiķj cbgrgm mubbgjķbgj3A\\ sorfsf ojtoiroborfj eobbom ygpķsķ vo eobbom mgpgsftosf tgebc œombfjno vorfbkomtonfr8

3A:3 J!K ojtoirosf> N&@ mgpgsftosfjno, PIM i+é mgyjgķ fbo égbķœgj ;3 gnros ifrfœfjo(3;3DNLFH cbnuujngj" vo vorf éķmķœķjg sg0fp efr eobbom obokgjķnķr8 3A:3%no fmf mcjtrcbifrfœf eubujur (2omfb ;:8:;"8 => yotmfbojnfrko mcjtrcb ifrfœf ojtoirojfj i+é t+motfkfjfgzgbkgyķ sgbgygj #stgjney% kcnujng égbķœkg féfj mubbgjķbķrmoj, ! $ M pp> mcjtrcb ifrfœf fmf`grmbķ gkgé féfj mubbgjķbķr8 ! éķmķœ yotmfbojnfrko (!utput jgebo" ifrfœf> ojtoirojfj vorféķmķœ tgkpcjbgrķjķ mcjtrcb féfj mubbgjķbķr vo ojtoirojfj efr kfmrcfœbokhfjfj vorf ycbujgmgrkgœķmbķm cbuœkgngj egbgjkgsķjķ sgbgr8 M pp fso, prcirgkbgkg fœbokf sķrgsķjng iorombfðzob prcirgkbgkg iorfbfkfnfr (3;M"8 M pp  iorfbfkf ygrnķkķybg, prcirgkbgkg kcnujngJ!K%uj féorfsfjo yojf vorf ifrfœf sgbgjķr8 Jrcirgkbgkg fœbokf fbo J!K féorfsfjnomf0or efr gnroso eftbfm mobfko yorboœtfrfbfr8

LC2=K Eobbom +g,ķķ Eobbom (g,gf.of

3AL ;L3NY ;F3

3A;H 3LNY ;H:N

3A:3 NLFHY :3AH

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"omfb 78#8<# Vgyiķj mubbgjķbgj 3A\\ sorfsf J!K ojtoiroborf8

Jrcirgkbgkg fœbokfjno> gnros ifrfœborfjo efbif ygzķbghgm eobbom eðbiosfjf soéohom noorbor vovorf ifrfœborfjo sgmbgjkgm fstojoj noorbor uyiubgjķrmoj, Mpp ifrfœfjo 3;M prcirgkbgkgiorfbfkf vo yotmfbojnfrko ifrfœfjo ojtoiroyf soékom féfj #L% noorf uyiubgjķr8 -mf mcjtrcbifrfœfjfj (MppD3;M, =DL" IL ksj ojtoiroyo uyiubgjkgsķ ioromfr8 )yjķ fœbokfj t+k eobbom

 eðbioborf féfj tomrgrbgjkgsķ ioromfr8

!mukg fœbokfjno> #=DL% efbifsf ygjķjng #!DL% efbifsfjfj uyiubgjkgsķ ioromfr8 )yjķ gjng

féorff cmujkgm fstojoj eobbom eðbiosfjf toksfb onoj noorbor gnrosboko ifrfœborfjouyiubgjķr8 3A:3 ojtoirosf gmtf` nurukng fmoj ILL kC i+é t+motfrmoj, #stgjney% nurukujng

7:

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Eobbombor 

;AI kC i+é t+motfr8

J!K féorfsfjo yorboœtfrfbohom vorfborfj oj 0ķzbķ vo uyiuj yorboœtfrko œombf, efbifsgygr voJ!K prcirgkhķsķ ygrnķkķybg ygpķbgj vorf y+mbojkosf yðjtokfnfr8 J!K eobbomborfj fmf

nozgvgjtg?bgrķ> sfbfjkom féfj scmotfjnoj éķmgrķbkg vo tom efr eftfj nofœtfrfbkosf féfj t+kojtoirojfj yojfnoj prcirgkbgjkgsķ zcrujbubumbgrķnķr8

"omfb 78#87# 3A:3 J!K ojtoirosfjfj bc?fm sokecb+8

fv Lbom.rfmob =bgrgm Nfbf%oefbfr C2=K Lbo&.rf&gbb' Lrggebo C2=K @ LLC2=K!

J!K eobbom t+rborfjfj sg0fp cbnuu fmf nozgvgjtg?ķ crtgngj mgbnķrgj vo J!K%ujiobfœkfœ œombf cbgrgm ;FL%bf yķbbgrng fkgb onfboj eobbom t+r+, mķsghg J!K cbgrgmfsfkbojnfrfboj vo obomtrfm fbo sfbfjoefboj J!K tfpf eobbombornfr8 J!K eobbombornoubtrgvfycbo ķœķg vo ojtoirojfj eubujnuu novronoj éķmgrķbkgsķjg iorom ycmtur8Eu tfp

 eobbomborno, K!*1 eobbom 0+hrosfjfj mgjgbķ (nrgfj" +zorfjo fjho efr cmsft (c@fno" eðbiosfombojorom, obomtrfmsob cbgrgm sfbfjoefbko ðzobbff mgzgjnķrķbķr8

7

 

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Eobbombor 

Jrcirgkbgkg fœbokfjno> K!*1%fj mgpķ vo mgjgb uébgrķ grgsķjg ;L ksj s+ro fbo 3;M%bum efr iorfbfk uyiubgjgrgm, mgpķ9mgjgb uébgrķjng efr œgr? cbuœkgsķ sgbgjķr8 .orfbfk mosfbso ng0fcbuœgj œgr? novgk onor vo efbif sgmbgjķr8 'yiubgjgj iorfbfkfj tors éovrfbkosf, cbuœgj œgr?ķjcrtgngj mgbmkgsķjg vo 0+hronomf efbifjfj sfbfjkosfjo jonoj cbur8 2gr? fœbokf écm m+é+m gmķk

ioromtfrnffjnoj, J!K%uj prcirgkbgjkgsķ vo sfbfjkosf fœbokf ojtoiro novrono fmojioréomboœtfrfboefbfr8

J!K eobbomborfj J!K%bgrg iðro +st+jb+mborf>

f9 bomtrfmsob cbgrgm sfbfjoefbko mgefbfyotf,

ff9 Eobbom nfzfsfjf féorfsfjnomf eðbioborfj efrefrfjnoj egķksķz cbgrgm sfbfjfp prcirgkbgjgefbkosf,

fff9 J!K%ng crtgbgkg IL ksj cbgj efr eobbom eðbiosfjf sfbko s+rosfjfj ;Lksj cbkgsķ,

œombfjno sķrgbgjgefbfr8 J!K%bgrķj oj ðjokbf kg0suru fso> J!K%bgrg iðro ng0g pg0gbķ

cbkgbgrķnķr8)yrķhg J!K eobbombor 3;M$;Lksj efr sfjygb fbo ncrungj sfbfjoefbfr8 Eujujbg eorgeor,J!K eobbombor J!K%bgrg iðro ng0g uhuznurbgr vo ng0g e+y+m eobbom ycujbuujgsg0fptfrbor8

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 468/533

Eobbombor 

 

"omfb 78#8$# 3HN J!K eobbom ojtoirosf sokecb+ vo fœbok kcnbgrķ8

Wjtob 3;H eobbom ojtoirosf> 3&@ mgpgsftosfjno 3IL jsj orfœfk zgkgjķjg sg0fp fbm

J!K%nur8 J!K%bgr zgkgj féorfsfjno mgpgsfto vo orfœfk zgkgjķ cbgrgmiobfœtfrfbkfœbornfr8 2omfb ;:8:3%no sokecb+ vo fœbok kcnbgrķ iðr+boj 3HN J!K eobbomojtoirosf, &@ mgpgsftosfjo sg0fptfr8 V+msom iorfbfk (3;M" +rotohf ojtoirojfj féorfsfjnonfrvo eu jonojbo PIM eosboko iorfbfkfjnoj egœmg efr eosboko novrosfjo f0tfygé ycmtur8

Eu eobbomto vorf pfjborf W$L cbgrgm fsfkbojnfrfbkfœtfr vo fœbok kcnujg iðro vorf ifrfœf voygvorf éķmķœķ féfj mubbgjķbķrbgr8 _é gnot mcjtrcb ifrfœf, mubbgjķbgj fœbok kcnuju eobfrborG =ifrfœf ojtoiroyf yotmfbojnfrkom (yotmfsfzbojnfrkono ojtoiro stgjney kcnujg ioéor" féfjmubbgjķbķrmoj, ! ifrfœf vorf éķmķœ tgkpcjbgrķjķ yotmfbojnfrkom féfj mubbgjķbķr8 !mukg fœbokfsķrgsķjng !%jfj #L% ygpķbkgsķ fbo éķmķœ tgkpcjbgrķ yotmfbojnfrfbfrmoj, ygzkg fœbokf sķrgsķjng!D; ygpķbkgsķ fbo éķmķœ tgkpcjbgrķ yotmfsfzbojnfrfbfrbor vo vorfbor W$L pfjborfjouyiubgjgefbfr8 C ifrfœf fbo ygzkg (Orfto" voyg cmukg (rogn" kcnujuj efrfsf soéfbfr8 Vgzkg

kcnujng> C D L ifrfœf fbo efrbfmto, ygzķbkgsķ fstojfboj vorfbor W$L pfjborfjo uyiubgjķr (2omfb;:8:38e"8

0#7#8# 2=K Eobbom H'4)bgkg Gbg%bgrķ

!K eobbombor, efbifborfj mgyecbkgngj vo sķm cbgrgm nofœtfrfbkonoj uzuj s+ro mcrujkgsķfstojfboj uyiubgkgbgrng ygyiķj cbgrgm mubbgjķbķrbgr8 !K uyiubgkg gbgjbgrķjngj egzķbgrķjķgœgķngmf œomfbno ðzotboyoefbfrfz8

f Kfmr5efb4fg'gr Cr54rgkbgrķ%ķ% Ngmbg%kgķ frk\gro!   Kfmrcefbifsgygrbgr!K%uj ygyiķj cbgrgm mubbgjķbnķķ uyiubgkgbgrngj efrfsfnfr8 Kfmrcefbifsgygr féorojhf0gzbgrķj (ðrjofj, obomtrcjfm cyujbgr, ygzgr mgsgbgr, obomtrcjfm torgzfbor, ve8" mcjtrcb

 prcirgkbgrķjķ sgmbgkgm gkghķybg !K%bgr mubbgjķbķr8 J= efbifsgygrbgrng fso, fœbotfksfstokborfjo gft prcirgkbgrķ vo prcirgkbgkg nfbborfjo gft ycrukbgyķhķbgrķ (fjtorprotor"sgmbgkgm gkghķybg !K%bgr mubbgjķbķr8 !K%bgrng sgmbgjgj vo nofœtfrko fkmgjķ cbkgygjkfmrcefbifsgygr prcirgkbgrķ ‑`frk\gro‖  cbgrgm fsfkbojnfrfbfrmoj, cmu $ ygz eobbomborno(CK%borno" sgmbgjgj vo mcbgyhg nofœtfrfboefboj prcirgkbgr ‑5`.\gro‖  cbgrgmfsfkbojnfrfbfr8

ff 3orf *geb5bgrķ 9g.g *gebo! !K%bgr sķm cbgrgm nofœfmbfm ioromtfrkoyoj vorftgebcbgrķjķ sgmbgkgm féfj mubbgjķbķr8 Morf tgebcbgrķjg ðrjom cbgrgm, trficjckotrfm tgebcbgr vomcn nðj+œt+rko tgebcbgrķ iðstorfboefbfr8 rficjckotrfm `cjmsfycjbgrķj eubujnuu # bccm9up%tgebcbgrķjķ féoroj !K ojtoiroborf pfygsgng 0gzķr 0gbno eubujkgmtgnķrbgr8 5rjofj>#4gtfcjgb *okfhcjnuhtcr% `frkgsķjķj +rottff KKN33LEK ojtoirosf, !L  fbo FLL  grgsķjngmfgéķbgrķj sfj+sborfjf voroj tgebcyu féorfr8 ;3@ cbgrgm nfzgyj onfboj eu !K, A gnros ifrfœfjo

vo vorf éķmķœķjg sg0fptfr8 6or efr gnrosto, L,AL grgbķmbgrbg géķbgrķj sfj+s noorborf eubujur8

$<7

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 469/533

  Eobbombor 

fff 3orf Movfrf&f @ 9%?œ.?r?&?bor 9g.g 5%vor.or!  Morf nðj+œt+r+h+ novrosf, efr mcnfbo f`gno onfboj vorfyf gbgrgm `grmbķ efr mcnbg éķmķœ +rotoj novronfr8 &cn nðj+œt+rko ygpkgjķjoj mcbgy yðjtokborfjnoj efrfsf, !K mubbgjķkķnķr8 !K mubbgjgrgm ygpķbgj nðj+œt+rkofœbokfjno, eobfrbf efr gnrosto nopcbgjgj efbif, nðj+œt+r+bkosf fstojoj yojf mcnng efr vorf

éķmķœķ +rotfr (2omfb ;:8::"8 .frfœ mcnu, !K ojtoirosfjfj gnros ifrfœborfjo uyiubgjķr vo ifrfœmcnbgrķ éðz+borom eobbom féorfsfjnomf efr eobbom eðbiosf soéfbfr8 *oéfboj eobbom eðbiosfjnomf

 efbif éķmķœg gmtgrķbķr8

X AN;I ojtoirosf> H9eft efjgry ifrfœf féfj Efjgry9E=7 mcn nðj+œ+k+j+ ygpgj efbifborfféoroj !K eobbomtfr8 Jfygsgng, A eft )*=WW mcnuju A eft E=7W=%yo éovfroj voyg euéovfrfkfj torsfjf ygpgj ojtoirobor eubujkgmtgnķr8

"omfb 78#88# !K ojtoirojfj mcn éovfrfhf cbgrgm mubbgjķbkgsķ8

fv (grgm.or Òro.oéborf/(o'e5grn agrg&.or Io%org.5r!

Efr omrgjng cbuœturubgj gb`gsgyķsgb mgrgmtorborf (0gr`bor, rgmgkbgr, ve8" fjhobonffkfz zgkgj,mgrgmtorborfj cbuœkgsķjng m+é+m jcmtgbgrķj (nct%bgrķj" nurukbgrķjngj `gyngbgjnķķjķ

iðr+r+z8 !buœturubgj mgrgmtorborfj œombfjo iðro jcmtgbgrngj efr mķskķ pgrbgm fmoj, efr mķskķmgrgjbķm cbgrgm mgbķr8 I@A voyg A@F kgtrfs œombfjnomf jcmtgbgr, uyiuj mckefjgsycjbgrcbuœturgrgm mgrgmtorborf koyngjg iotfrfr8 &grgmtor +rotfhf !K ojtoirosf, +rotfbohom 0or efrmgrgmtor féfj iorombf jcmtg mckefjgsycjuju mgrgmtorbo fbifbf efr gnrosto )*=Q mcnbu cbgrgmsgmbgr8 5rjofj> ) 0gr`fjf cbuœturkgm féfj iorombf jcmtg mckefjgsycju #;LLLLL;% gnrosfjno)*=Q ;LLLLL; cbgrgm sgmbgjķr8 &grgmtor +rotfhf !K%bgr, gb`gsgyķsgb mgrgmtorborfjiðr+jt+bojkosf voyg ygznķrķbkgsķ fstojoj yorborno ygyiķj cbgrgm mubbgjķbķrbgr8

v 5%mf'5% Òro.o&f )%&.f5% Io%org.5r!  1cjmsfycj +rotohf> sfj+s, mgro, tostoro, +éiojve8 ngbig `crkbgrķjķ +rotoj novrobornfr8 2omfb ;:8:N%no efr !K bccm9up tgebcsu vo efrnf?ftgb9gjgbci éovfrfhf (7)=" mubbgjķbgrgm sfj+s ngbigsķjķj jgsķb +rotfbnff iðr+bkomtonfr8!K, 0or efrf `grmbķ efr ngbig œombf noorfjo mgrœķbķm ioboj 3IH `grmbķ eftbfm noorfnopcbgkgmtgnķr8 eftbfm sgyķhķ, !K féfj grnķœķb (souojtfgb" gnros ifrfœborf +rotkomgkghķybg efr totfmboko sfjygbf tgrg`ķjngj novgkbķ cbgrgm totfmbojfr8 *gyķhķ éķmķœķ 3IH `grmbķ

$<$

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 470/533

Eobbombor 

gnrosf tgjķkbgygefbnffjnoj, !K novrosf 7)= féfj 3IH `grmbķ vorf éķmķœķ vorfr8 7)= éķmķœķ,vorf jcmtgbgkg mgrœķbķm ioboj 3IH `grmbķ gjgbci iorfbfk noorfjf f`gno onoj ngbig œombfjnocbur8 )bégm ioéfroj `fbtro, n+zi+j efr sfjygb œombf obno otkom féfj 7)= éķmķœķjngmf noorborfyuvgrbgr vo œombf n+zobtfr8

"omfb 78#81# Efr !K%uj vo efr 7)=%ķj mubbgjķbnķķ `cjmsfycj +rotohf novrosf8

0#$# +grķfbo.mo% =m) / +gz Eobbombor 2K‖bgr!

Xc?fm efr novroyo yorboœtfrfbnfmtoj scjrg scjsuz sgyķng cmukg voyg ygzkg fœbokfjfjioréomboœtfroefbnff eobbombor, ‑5m) / 'gz 2K! eobbombor‖ cbgrgm fsfkbojnfrfbfr8 Efbifborfjsgeft cbgrgm mgynonfbnff !K%bgrngj `grmbķ cbgrgm, cmu$ygz eobbomborno efbifbor ioéfhfcbgrgm sgmbgjķrbgr8 Efr eobbom eðbiosfjo efbifjfj sgmbgjkgsķ #ygzkg% fœbokfjo mgrœķbķmiobfrmoj, efr eobbom eðbiosfjno sgmbgjgj efbifjfj gbķjkgsķ fœbokf #cmukg% fœbokfjf toksfbonor8

!mu$ygz eobbombor iojob cbgrgm, sķrgbķ orfœfkbf eobbombor vo rgsiobo orfœfkbf eobbombor cbgrgm fmf

irueg gyrķbķr8 CK%bor ng0g écm rgsiobo orfœfkbf eobbombor ()K" cbgrgm tgjķjķrbgr8 )K eobbomborf iojfœ œomfbno fjhobojkonoj ðjho, sķrgbķ vo rgsiobo orfœfkbf eobbomborfj iojobðzobbfmborfjf ðzotboyobfk8

0#$#7# Nķrgbķ Lrfœfkbf =m) / +gz Eobbombor

7g0g ðjhomf eðb+kborno géķmbgjgj mgykgbķ mgynonfhfbor ygpķsķjng égbķœgj eobbombor, ‑ķrgbķorfœfkbf eobbombor‖  voyg ‑orf eobbombor‖  (*ouojtfgb )hhoss Kokcrfos / *)K" cbgrgmfsfkbojnfrfbfrbor8 2omfb ;:8:I%no, HN egyt%bķm (HN@ eftD I;3 eft" efbifyf sgmbgkg mgpgsftosfjosg0fp *)K eobbofj ygpķsķ iðr+bkomtonfr8

Eobbomto sgmbgjghgm egyt%bgr L fbo H: grgsķjngmf sgyķbgr fbo eobfrtfbfr vo I;3 eftbfm efbifmgynonfhfbor féorfsfjno sorf cbgrgm sgmbgjķr8 eftbfm efbifborf sorf cbgrgm sgmbgkgm féfj, 0or efr

 egytķj sgmbgjghgķ eobbom eðbiosfjf toksfb onoj H eftbfm gnros efbifsf mubbgjķbķr8 H eftbfm gnros

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 471/533

  Eobbombor 

 efbifsf gnros mgynonfhfsfjo yorboœtfrfbfr vo mgrœķbgœtķrķhķjķj ifrfœborfjnoj efrfsfjo uyiubgjķr8

&gykgbķ mgynonfhf novrosfjo uyiubgjgj 0or #hbchm% sfjygbf fbo, mgykgbķ mgynonfhfnomf efbif efr eft sgg mgynķrķbķr8 #=bchm% sfjygbf gyjķ gjng Kcn9 eft sgyķhķyg uyiubgjgrgm eft sgg

mgykg tgkgkbgjķr8 Kcn9 eft sgyķhķ novrosfjfj éķmķœķ egyt9sgyķhķ novrosfjo ( Kcn9HN "uyiubgjgrgm 0or eftbfm (; egyt" fœbok scjuhujng grtkgsķ sgbgjķr8 Eu fœbok fbo, egyt9sgyķhķnovrosf mgynķrķbgj efbifjfj egyt jukgrgsķjķ sgygr vo éķmķœbgrķjng fœbok ygpķbgj egytjukgrgsķjķ iðstorfr8

5rjofj> #LL;LL;% jcbu (nosfkgb F" gnros eðbiosfjo orfœkom féfj, #LL;LL;% efbifsf gnrosmgynonfhfsfjo y+mbojfr vo mgrœķbgœtķrķhķyg uyiubgjķr8 F jcbu gnros eðbiosfjnomf efbifyoorfœkom féfj (cmukg fœbokf", cmu $ ygz mcjtrcb ifrfœf #;% ygpķbķr vo eu noor ) fbo = fsfkbf#M% mgpķbgrķjķ gmtf` ygpgr8 &gykgbķ mgynonfhfno eubujgj vorf egytķ sgg mgynķrķbķr vo F jcbu

 egyt mgykgbķ mgynonfhfjfj éķmķœķjng iðz+m+jhoyo mgngr, #)% fsfkbf #M% mgpķsķ ifrfœfjo #;%uyiubgjķr8 Egyt sgyķhķjķj féorff fbo mgykgbķ mgynonfhfjfj éķmķœķjngmf egyt jukgrgsķ gyjķcbnuujngj (egyt sgyķhķjķj féorff F%nur", mgrœķbgœtķrķhķjķj 0or fmf ifrfœf oœfttfr vo mgrœķbgœtķrķhķéķmķœķ gmtf` (bc?fm #;%" cbur8 <ķmķœtgmf eu sfjygb = mgpķsķjķ yotmfbojnfrfr vo F jcbu eobbom

 eðbiosfjno eubujgj efbifjfj ( eft" sorf cbgrgm eobbom nķœķjg mgynķrķbkgsķjķ sgbgr8 gnot#hbchm% sfjygbf cbuœtumtgj scjrg, F jcbu eobbom eðbiosfjfj féorffjfj tgkgkķ eobbom éķmķœķjngiðz+m+r vo egyt sgyķhķjķj féorff grtgr8

eftbfm efr efbifyf F jcbu gnros eðbiosfjo mgynotkom (ygzkgm" féfj> #F% sgyķsķ gnrosmgynonfhfsfjo y+mbojfr vo mgykgbķ mgynonfhfnomf efbifbor F jcbu egyt mgykgbķ mgynonfhfjfjéķmķœķjg iobfjhoyo mgngr mgynķrķbķr8 Eu nurukng, egyt sgyķhķjķj noorf #F% cbur vomgrœķbgœtķrķhķ éķmķœķjngmf #oœftbfm mcjtrcb 0gttķ% gmtf` (;" cbgrgm E vo = mgpķbgrķjg uyiubgjķr8Eu gjng cmu$ygz mcjtrcb 0gttķjķj #L% cbkgsķ jonojf fbo, ) vo = mgpķbgrķ yotmfsfzbojnfrfbfrmojE mgpķsķ yotmfbojnfrfbfr8 Vgzķbghgm cbgj eftbfm efbif mgynķrķbgrgm F jcbu eobbom eðbiosfjoyorboœtfrfbfr8 Vgzkg fœbokf sķrgsķjng, ng0g ðjho eubujgj efbif ) mgpķsķjķj gmtf` cbkgkgsķjonojf fbo iorf y+mbojokoz vo mgyecbur8 

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 472/533

Eobbombor 

 

!mu$Vgz

Egœg 7ðj+œ

I;3 Eft &gykgbķ &gynonfhf, 6orefrf Eft HN &gynonfhf

Egyt sgyķhķjķjéķmķœķ, mgykgbķmgynonfhfjfj éķmķœ pczfsycj egyt

jukgrgsķjķ iðstorfr

otfmboko

*fjygbf .frfœf

œftbfm &cjtrcb 6gttķ

($C" &cjtrcb

*orf Morf

.frfœf

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"omfb 78#86#  HN @ sķrgbķ orfœfkbf cmu $ ygz eobbofj ygpķsķ8

)éķmbgjgj fœbokbornoj, sorf eobbomborno efr eobbom eðbiosfjo orfœkom féfj ubgœķbghgm eobbom eðbiosfjo mgngr t+k eobbom eðbioborfjfj sķrg fbo gnķkbgjkgsķ (ioéfbkosf" ioromtff iðr+b+r8Eu jonojbo, sorf eobbombor ‑ķrgbķ orfœfkbf eobbombor‖  (*ouojtfgb ghhoss kokcry9*)K"cbgrgm fsfkbojnfrfbfr8

*ķrgbķ orfœfkbf eobbomborfj sgmķjhgsķ, eobbom orfœfk zgkgjķjķj e+y+m cbkgsķnķr8 Eujujbg eorgeor, y+msom 0ķzbķ orfœfkfj iorombf cbkgnķķ, n+œ+m kgbfyotfj ðjoksojnff uyiubgkgbgrng*)K eobbombor mubbgjķbkgmtgnķr8 Kgjyotfm mgegrhķmbķ eobbombor, ðzob uyiubgkgbgrng

mubbgjķbgj *)K eobbom ygpķsķjngmf eobbombornfr80#$#$ 2g4obo Lrfœfkbf =m) / +gz Eobbombor 2GK!

6or 0gjif efr eobbom eðbiosfjo orfœfkfj ncrungj sgbgjgefbnff vo t+k eobbom eðbioborfjoorfœfkfj oœft zgkgj gbnķķ eobbombor, ‑,grgbob eobbombor‖ voyg ‑rg4obo orfœfkbf eobbombor‖(gjnck )hhoss Kokckcrfos / )K" cbgrgm fsfkbojnfrfbfr8 )K eobbomborfj ygpķsķjng

 eubujgj mcn éðz+h+ novrosfjfj éķmķœķ efr eobbom eðbiosfjf yotmfbojnfrfr vo mubbgjķhķyg rgsiobo efr eobbom eðbiosfjo orfœko fkmgjķ sujgr8

-skfjf, efbif sgmbgjgj eðbioyo orfœfk œombfjnoj gbsg ng, i+jb+m mubbgjķkng )K nojfbnffzgkgj cmujgefboj $ ygzķbgefboj (ogn $ Crfto Kokcry9CK" eobbom éoœfnfmgstonfbkomtonfr8 Eu nurukng )K eobbofj tgrf`fjf ygpgrsgm> prcirgkbgrķ voyg efbifborf

ioéfhf s+ro sgmbgkgm féfj mubbgjķbgj, sgmbgjgj efbifborfj scjsuz moro nofœtfrfboefbnff (sfbfjfp

$<6

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 473/533

  Eobbombor 

9 yojfsfjfj ygzķbgefbnff", cmukg vo ygzkg fœbokborfjfj gyjķ mcbgybķmbg ygpķbgefbnff,ojor?fsfjfj mosfbkosfybo efbifborfj mgyecbnuu (vcbgtfbo" eobbom t+r+, ‑2GK eobbom‖  cbgrgmfsfkbojnfrfbfr8

gsiobo orfœfkbf eobbombor m+é+m orfœfk zgkgjbgrķ cbkgsķ jonojf fbo sķrgbķ orfœfkbf eobbomboroiðro ng0g ygyiķj cbgrgm mubbgjķbķrbgr8 !K eobbombor ygpķ cbgrgm rgsiobo orfœfkbf eobbomygpķsķjng cbkgsķjg rgkoj, rgsiobo orfœfk torfkf ygbjķzhg cmu $ ygz eobbombor fbo ()K"

 efrbfmto gjķbkgmtgnķr8

)K%bgrķj oj ygyiķj mubbgjķk yorf, efbifsgygrng prcirgkbgrķj égbķœkgsķ sķrgsķjng efbifborfjioéfhf cbgrgm sgmbgjkgsķ cbnuujngj, cmukg vo ygzkg fœbokborfjfj écm 0ķzbķ cbgrgmioréomboœtfrfbkosf iorombfnfr8 )K eobbomboro orfœfk sfstokf vo cmukg $ ygzkg mcbgybķķ,)K eobboo eu ðzobbff mgzgjnķrķr8 )K eobbomborfj oj ðjokbf ðzobbfmborfjnoj efr nforf0ķzķnķr vo sgeft eobbomboro iðro vorf cmujup $ ygzķbkgsķ HL efj mgt 0ķzbķnķr8

)K eobbomborfj ðzobbfmborfjf géķmbgkgng, !K eobbombor mķskķjng mubbgjķbgj torfkbornoj`gyngbgjķbķr8 5rjofj> )K eobbomborfj mgpgsftoborf, !K eobbomborno cbnuu ifef, ;&, N&,

&, ;H&, HN&,888 ;K, NK, ;HK, :3K, HNK ve8 œomfbno tgjķkbgjķr vo 0or efr mobfko N, , ;H,:3 voyg HN eftf féoroefbfr8 )K eobbomborf efr grgng mubbgjgrgm, mgpgsftosfjf voyg mobfkouzujbuuju nofœtfrkom k+km+jn+r8 Eu fœbokborf géķmbgkgngj ðjho, )K eobbomborno efbifsgmbgjkgsķ fœbokfjf vo )K eobbofj fé ygpķsķjķ fjhoboyobfk8

0#$#8# 2GK Eobbomborno Efb4f Ngmbg%kgķ vo 2GK Eobbomborf% -é +g,ķķ

Vgrķfbotmoj ygpķngmf )K eobbomborno tokob efbif sgmbgkg obokgjķ, 1bfp91bcp (11"%nur8 Efr eftbfm efbifjfj sgmbgjkgsķ féfj, trgjsfstðrbornoj cbuœgj T;T gnot 11 mubbgjķbķr8 okob obokgjķ11 cbgj T;T eftbfm efbif sgmbgkg novrosf, Weobbom a?&rof E>W cbgrgm fsfkbojnfrfbfr8 Eobbom0+hrosfjno> ifrfœ, éķmķœ, cmu $ ygz, soéko ifrfœborfjfj eubujkgsķ ioromfr (2omfb ;:8:A8g"8

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 474/533

Eobbombor 

"omfb 78#8;# )K eobbom 0+hrosf ebcm œokgsķ vo bc?fm novrosf8

Eobbom 0+hrosfjno efbif ygzkg voyg eubujgj efbifyf cmukg fœbokborfjnoj 0gjifsfjfjygpķbghgķjg, cmu $ ygz ifrfœfjfj noorf fbo mgrgr vorfbfr (2omfb ;:8:A8e"8 !mu $ ygz ifrfœfjo #;%

uyiubgjkgsķ nurukujng> &: jcbu #M% mgpķsķ, 11 U éķmķœķjngmf efbifyf éķmķœ uhujngiðstorohom ifrfœboro sg0fp cbur8 !mu $ ygz ifrfœfjfj #L% cbkgsķ nurukujng fso, &; voyg &3mgpķsķ ifrfœtomf efbifyf 11%o y+mbor8 Efbif y+mbojkosf, 0+hroyo ifrfœtomf efbifjfj ygzķbkgsķnokomtfr8

Votmf voyg soéko ifrfœf cbgrgm fsfkbojnfrfboj ifrfœ fbo, fbifbf 0+hrojfj soéfbkosf(yotmfbojnfrfbkosf" sgbgjķr8 2omfb ;:8:A8e%nomf novrono, #soéko% ifrfœfjfj T;T ygpķbkgsķ fbo

 eobbom 0+hrosf soéfbfr8 Votmf ifrfœf sgyķsķ efrnoj `gzbg cbgefbfr8 )yrķhg, mubbgjķbgj 11%fjtotfmboko sfjygbf ifrfœf eubujkgsķ nurukujng, eobbom 0+hrosfjo totfmboko sfjygbf ifrfœfombojfr8

Eobbom 0+hroborf efr grgng mubbgjķbgrgm, mobfko sgmbgkg mgpgsftosfjo sg0fp 0+hro irupbgrķcbuœturubur8 Eobbom 0+hroborfjnoj cbuœgj irupbgrķj efr grgng mubbgjķbkgsķ fbo iojfœ mgpgsftobf

 eobbom cbuœur82omfb ;:8:%no, 0or efr gnrosfj nðrt eobbom 0+hrosf féornff (mobfko uzujbuu N cbgj" )K

 eobbofj fé ygpķsķ iðr+bkomtonfr8 2ombf egsftboœtfrkom gkghķybg eobbom 0+hroborf ebcm cbgrgmiðstorfbkomtonfr8

Votmfbojnfrko ifrfœf fbo gmtf` 0gbo iotfrfboj N@N mcn éðz+h+ novrosf, gnros ifrfœborfjnoj ioboj efbifyo iðro mcn éðzko fœbokf ioréomboœtfrfr8 )nros ifrfœ noorborfjo iðro mcn éðz+h+éķmķœbgrķjngj efrfsf T;T noorfjf gbķr vo fbifbf eobbom 0+hroborfjf yotmfbojnfrfr8

Votmfbojnfrfboj eobbom 0+hroborf, ygzkg voyg cmukg fœbokf féfj 0gzķrnķr8 *oéfboj eobbom0+hroborf, cmu $ ygz ifrfœfjnomf nooro iðro uyiuj cbgj fœbokf ioréomboœtfrfr8

!mukg fœbokf soéfbfrso, 0+hrobornomf efbifbor novronomf #MV)% mgpķbgrķ +zorfjnoj vorféķmķœbgrķjng iðz+m+r8 !mukg fœbokf, eobbom 0+hroborfjnomf 11%borno eubujgj noorborfjgbķjkgsķnķr8

Vgzkg fœbokfjfj soéfbkosf nurukujng, vorf ifrfœborfjnoj uyiubgjgj efbifbor (; voyg L" fbifbf eobbom 0+hrosfjo y+mbojfr8 V+mboko fœbokf, eobbom 0+hrosfjno eubujgj 11%jfj T;T voyg TLTnoorfjo murubkgsķnķr8

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 475/533

  Eobbombor 

"omfb 78#8:# N@N )K eobbom crigjfzgsycju8

)K eobbom ojtoiroborfjno vorf ifrfœ vo éķmķœ pfjborf gyrķ 9 gyrķ eubujgefbohof ifef, crtgmmubbgjķbghgm œomfbno no cbgefbfr8 !rtgm pfjborfj vorf ifrfœ vo éķmķœķ féfj mubbgjķbkgsķnurukujng, ojtoirono iorombf pfj sgyķsķ gzgbķr vo eu nuruk ðzobbfmbo iojfœ mobfkouzujbuujg sg0fp eobbomborno mcbgybķm sgbgr8

3;NA )K eobbom ojtoirosf> N&@; mgpgsftosfjno, vorf ifrfœ vo éķmķœbgrķ féfj `grmbķ pfjborfjmubbgjķbnķķ eobbom obokgjķnķr (2omfb ;:8:F8g"8 *oéko ifrfœf fbo (gmtf` TLT" ojtoiroyotmfbojnfrfborom, gnros ifrfœborfjnomf mckefjgsycjuj toksfb ottff eobbom 0+hrosf soéfbfr8

3;H )K eobbom ojtoirosf fso, N&@N mgpgsftosfjno, crtgm vorf ifrfœ $ éķmķœ pfjborfjo sg0fp eobbom obokgjķnķr (2omfb ;:8:F8e"8 $C pfjfjnomf efbifyo iðro, crtgm pfjbor eobboo efbifygzkgm voyg eobbomtomf efbifborf cmukgm féfj mubbgjķbķr8

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 476/533

Eobbombor 

 g! e!

"omfb 78#88 3;NA vo 3;H )K eobbom ojtoiroborfjfj sokecbborf8

0#$#1# 2GK Moœf.borf

Vgrķ fbotmoj )K%bgr efpcbgr trgjsfstðr voyg K!* tomjcbc?fborf mubbgjķbgrgm fkgb onfbfrbor8)yrķhg eu fmf tomjcbc?fjfj +st+j tgrg b̀grķjķj mubbgjķbgrgm fkgb onfbnff féfj #E-K!*% cbgrgmfsfkbojnfrfboj +é+jh+ efr )K ygpķk tomjcbc?fsf eubujkgmtgnķr8 Eu nurukng, )K

 eobbomborf mubbgjķbgj kgbzokoyo iðro +é irueg gyķrkgm k+km+jn+rG Efpcbgr )K%bgr,K!*)K%bgr, E-K!* )K%bgr (2omfb ;:8NL"8

Vgrķ fbotmoj )K eobbombor, efbif sgmbgkg féfj ojor?f ioromsfjfkf nuykg nurukbgrķjg vo efbif sgmbgygefbko s+roborfjo iðro fmf irueg gyrķbgefbfrG *tgtfm )K%bgr vo nfjgkfm)K%bgr8 6or fmfsfno #uéuhu9vcbgtfbo% ygpķng cbgj eu eobbomborno ojor?f mosfbnff zgkgj efbifmgyecbur8 1grmbķ efbif sgmbgkg tomjffjo sg0fp )K eobbomborfj fé ygpķsķjķ vo efbif sgmbgkgœomfbborfjf fjhoboyobfk8

"omfb 78#1<# Vgrķ fbotmoj )K éoœftborf8

0#$#6# N.g.fm 2GK‖bgr N2GK!

Efbif sgmbgkg obokgjķ cbgrgm 11%bor mubbgjgj vo ojor?f vorfbnff s+roho efbifyf scjsuzg mgngrsgmbgygefboj )K eobbombor, ‑.g.fm 2GK eobbombor‖ cbgrgm fsfkbojnfrfbfr8 *tgtfm eobbomtomf

 efbif, yojf efbif mgynonfbkosf voyg ojor?fjfj mosfbkosf nurukujng mgyecbnuujngj, uéuhu(vcbgtfbo" eobbombor cbgrgm n+œ+j+b+rbor8

*)K eobbomborfj oj ygyiķj mubbgjķk yorf, kfmrcfœbokhfborno mubbgjķbgj ðjeobbombornfr8

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Nfjgkfm UGK%bgr#NUGK$ 

*tgtfm UGK%bgr#*UGK$ 

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Eobbombor 

Kfmrcfœbokhfborno mubbgjķbgj *)K ygpķsķjngmf ðjeobbombor X; (Xgjth0 ;" vo X3 (Xgjth0 3"cbgrgm fsfkbojnfrfbfr8 5jeobbomborfj iðrovf, fœbokhfjfj écm sķm f0tfygé nuynuu mckutbgrķ obgbtķjng tutkgmtķr8 -œbokhfjfj *)K ygpķsķjg sg0fp ðjeobbomboro orfœfk 0ķzķ, 7)K ygpķsķjgsg0fp cbgj eobbomboro iðro écm ng0g y+msomtfr8 Eujg mgrœķbķm, kfmrcfœbokhfbor féorfsfjno

ðjeobbomborfj m+é+m mgpgsftono cbkgbgrķjķj jonojf> fœbokhf féorfsfjno écm yor mgpbgkgbgrķ voy+msom +rotfk kgbfyotborfnfr8

Vgpķk kgbzokosf cbgrgm efpcbgr trgjsfstðr mubbgjgj efpcbgr )K%bgr vo efpcbgr trgjsfstðr 9K!* obokgj efrboœfkf mubbgjgj E-K!* )K%bgr, stgtfm )K sķjķ`ķjg ifrorbor8 Eujujbg

 eorgeor *)K%bgrķj e+y+m efr mķskķjng 4K!* vo =K!* obokgjbgr mubbgjķbķr8 *tgtfm)K%bgrng efpcbgr trgjsfstðr mubbgjķkķ 0ķzķ grtķrķrmoj, K!* tomjcbc?f mubbgjķkķ fbo mgpgsftogrtgr vo i+é t+motfkf gzgbķr8

2omfb ;:8N;%no efpcbgr trgjsfstðr vo 4K!* obokgjbgr mubbgjķbgrgm cbuœturubgj *)K eobbom0+hroborf iðr+bkomtonfr8 Efpcbgr trgjsfstðrbo ygpķbgj eobbom 0+hrosf fmf trgjsfstðr vo fmfnfrojé mubbgjķbķrmoj, 4K!* eobbom 0+hrosfjno nðrt gnot 4K!* obokgj mubbgjķbķr8 Efpcbgr

tomjcbc?f, ng0g mckpboms efr ygpķyg sg0fp cbnuujngj vo nfrojé mubbgjķkķ ioromtfrnffjnoj eobbom féorfsfjno ng0g iojfœ yor mgpbgrbgr8 K!* tomjcbc?fno fso, nfrojébor yorfjo K!*obokgjbgr mubbgjķbnķķjngj ng0g gz yor mgpbgrbgr8 K!* tomjcbc?fsf yorfjo =K!*mubbgjķbkgsķ nurukujng tom `grm> nfrojé cbgrgm mubbgjķbgj U:9UN obokgjbgrķ yorfjo, JK!*obokgjbgrķ mubbgjķbkgsķnķr8

 

"omfb 78#17# Efpcbgr vo 4K!* stgtfm )K 0+hroborfjfj ygpķsķ8

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 478/533

Eobbombor 

 

"omfb 78#1$# *)K 0+hrosf iojob bc?fm œokgsķ8

1grmbķ kgbzoko mubbgjķbgrgm fkgb onfboefboj *)K eobbom 0+hrosf, 2omfb ;:8N3%no iðstorfbojifrfœ $ éķmķœ uébgrķjg sg0fptfr8 Eobbom 0+hrosfjfj s+tuj vo sgtķrķjķj #;% ygpķbkgsķ fbo fbifbf

 eobbom 0+hrosf soéfbfr8 Vgz uhujuj (L" cbkgsķ nurukujng, ifrfœ efbifsf 0+hroyo #;% voyg #L%cbgrgm mgynonfbfr8 Vgz ifrfœfjfj #;% cbkgsķ nurukujng fso 0+hro ifrfœ efbifsfjnoj otmfbojkoz,gjhgm 0+hrono sgmbgjgj efbif vorf éķmķœ 0gttķjng iðz+m+r8

*)K vo !K eobbom ojtoiroborf grgsķjngmf tokob `grm> *)K ojtoiroborfj vorf ifrfœborfjovo cmu $ ygz mcjtrcb ifrfœborfjo sg0fp cbkgsķnķr8 =K!* H3HN ojtoirosf> &@ efbif sgmbgkgmgpgsftosfjno, ;LL jsj cmukg $ ygzkg s+rosfjo vo #stgjney% nurukujng L,; kC ojor?ft+motfkfjo sg0fp *)K eobbom ojtoirosfnfr (2omfb ;:8N:8g"8 jtoirono, 3;:D;F3D& eobbommgpgsftosf cbkgsķ jonojf fbo ;: gnot gnros ifrfœf vo gnot efbif ifrfœ $ éķmķœķ eubujur8jtoirono eubujgj mcjtrcb ifrfœborfjfj (N gnot" nurukbgrķ obokgjķj égbķœkg nurukuju tospft

otkom féfj mubbgjķbķr (2omfb ;:8N:8e"8

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jtoironomf V)B (C" ifrfœfjfj #L% cbkgsķ fbo, )K féorfsfjo ygzkg fœbokf soéfbfr8 V)Bifrfœfjno #;% cbkgsķ nurukujng fso, #cmukg fœbokf soéfbfr vo ! (éķmķœ yotmf9cutput ojgebo"uhujuj #L% cbkgsķ fbo efbif éķmķœtg iðz+m+r8 jtoiro soéfbkonff nurukbgrng, ojtoiro n+œ+mi+é 0grhgkg nurukujngnķr vo nfor uébgrķj 0féefr otmfsf ycmtur8

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Eobbombor 

g! e!

"omfb 78#18# =K!* H3HN *)K eobbom ojtoirosfjfj sokecb+ vo égbķœkg tgebcsu8

0#$#0# 9f%gkfm 2GK Eobbombor 92GK!

Efbif sgmbgkg obokgjķ cbgrgm 11 yorfjo m+é+m noorbf K!* mcjngjsgtðr+j (efrmgé pfmc`grgn" mubbgjķbnķķ eobbom, ‑9f%gkfm 2GK‖ cbgrgm fsfkbojnfrfbfr (2omfb ;:8NN8g"8

K!* tomjcbc?f mubbgjķbgrgm fkgb onfboj nfjgkfm )K%bgrķj +st+jb+mborf>

f9 Egsft ygpķng vo e+y+m efbif sgmbgkg mgpgsftosfjno cbkgbgrķ,

ff9 7+œ+m i+é t+motfkf,fff9 V+msom fœbok 0ķzķ,

fv9 jtoiro féorfsfjo écm sgyķng eobbom 0+hrosf yorboœtfrfboefbkosf jonojf fbo n+œ+mkgbfyot,

cbgrgm sķrgbgjgefbfr8 Eu ðzobbfmborf fbo 7)K%bor i+j+k+z J= tomjcbc?fsfjno ygyiķj cbgrgmmubbgjķbkgmtgnķr8 -bm cbgrgm ;FA yķbķjng iobfœtfrfboj 7)K tomjcbc?fsf i+j+k+zo iobfjhoyomgngr efrécm nofœfk ioéfrnf vo J= féorfsfjno oj sķm mgrœķbgœtķrnķķkķz eobbom éoœfnf cbgrgmi+jhobbffjf mcruycr8 7)K%ķj ioéfrnff ovrobor $ nofœfkbor gœgķng ðzotboyohofkfz7)K t+rborfjfj cbuœukuju sgbgnķ8

1JK 7)K (`gst Jgio Kcno"G 7)K tomjcbc?fsfjfj efbifsgygrg tgœķjkgsķjķ sgbgygj 1JK7)K%bgr :H vo NH fœbokhfborbo efrbfmto ygyiķj cbgrgm mubbgjķbnķ8 1JK 7)K%bgrķj ojðjokbf fmf ðzobbff> eobbomtomf fœbokborfj eft tokobbf cbgrgm ioréomboœtfrfbkosf vo grt grngfœbok ygpķbgj vorfbor gyjķ sgtķrng fso fœbokhf vo eobbom grgsķjngmf fbotfœfkfj écm 0ķzbķioréomboœkosfnfr8

7! )K (@tojnon 7gtg !ut"G ;FFI yķbķjng pfygsgyg s+r+boj 7! )K%bgrng efr eftfjfœbojkosf tgkgkbgjkgngj yojf efr eftfj fœbojkosfjo egœbgjgefbfycrnu8 1JK )K%bgrg iðro];L ng0g y+msom por`crkgjsg sg0fp cbgj 7! )K%bgr fbm Jojtfuk fœbokhfborbo efrbfmtoygiķj cbgrgm mubbgjķbnķ8

*7)K (*yjh0rcjcus 7)K"G ;FFH yķbķjng pfygsgyg sujubgj vo 0gbg mubbgjķbgj *7)K,sfstok vorf ycbu fbo gyjķ 0ķzng égbķœgefbkosf ðzobbff (fœbokhf fbo gyjķ 0ķzng égbķœgefbko" fbo

 e+y+m efr yojfbff iotfrfycrnu vo eu ðzobbfm fœbokhfjfj eobbomtoj iobohom vorfborf eombormoj

zgkgj mgyeotkosfjf ojiobbfycrnu8 J=HH, J=;LL vo J=;:: cbkgm +zoro +é `grmbķ 0ķzng+rotfboj *7)K%bgr mubbgjķbnķmbgrķ gjgmgrttg eubujgj vorfycbu 0ķzķ fbo gyjķ 0ķzng égbķœķycr8

$7$

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 480/533

Eobbombor 

*7)K%bgr fbo efrbfmto 7WKK kcn+b tomjcbc?fsf mubbgjķbkgyg egœbgjnķ (;H gnotr pfjosg0fp cbgrgm"8

77 *7)K (7cuebo 7gtg gto *7)K"G 3LLL yķbķjng pfygsgyg sujubgj vo i+j+k+zno

oj ygyiķj mubbgjķkg sg0ifp cbgj 77 *7)K%bgrķj oj e+y+m ðzobbff, vorf fbotfk 0ķzķjķjygmbgœķm fmf mgtķjg éķmkgsķnķr8 Eu ðzobbfm 77 *7)K%ķj 0or efr sggt sgymķbķjng y+msobojvo n+œoj mojgrbgrķjng efbif cmukgsķ scjuhujng ioréomboœfr8 -bm cbgrgm J=;HLL fskf fbo 3LLK6z 0ķzķjng pfygsgyg sujubgj 77 *7)K%bgr, écm 0ķzbķ efr iobfœfk iðstororom NHH K6z0ķzķjng J=:ALL vo ILL K6z 0ķzķjng J=NLLL kcn+bborf fbo pfygsgng eubujuycr8 ;N pfjosg0fp 77 *7)K%bgr 7WKK kcn+b+ œombfjno pfygsgy s+r+b+ycr vo i+j+k+znogjgmgrtbgrng ygyiķj cbgrgm 77 nostombf )K%bgr mubbgjķbķycr8

7)K (gkeus 7)K"G sgjhķbķ efr iobfœfk ovrosfjnoj scjrg ygyiķj efr mubbgjķkg sg0fpcbgj gkeus 7)K, 7WKK fbo gyjķ e+y+mb+mto cbkgsķjg mgrœķbķm `grmbķ efr ygpķyg sg0fpcbgj WKK kcn+bborf œombfjno pfygsgyg s+r+b+ycr8 7)K h0fpborf ;H eftbfm ðzob efrvorfycbujg sg0fp vo eu ycb #gkeus mgjgbķ% cbgrgm fsfkbojnfrfbfycr8 V+msom égbķœkg 0ķzķjonojf fbo écm `gzbg ķsķjgj vo eu jonojbo ðzob scutuhubgr fbo éovrobojoj 7)K%bgr LLK6z%no égbķœgj J=LL vo ;LHH K6z%no égbķœgj J=;LHH éoœftborf fbo pfygsgng eubujuycr8Wjtob tgrg`ķjngj nostombojoj gkeus tomjcbc?fsf, y+msom `fygtķ vo 77 *7)K%bgrg iðroðjokbf efr por`crkgjs `grmķ sujkgkgsķ jonojborf fbo pfygsgng fstonff yorf eubgkgnķ8

7fjgkfm )K%bgrķj sgmķjhgsķ fso> efbifjfj mcjngjsgtðrno sgmbgjkgsķ jonojf fbo, sgmbgjgj efbifjfj eobfrbf efr s+ro scjuhujng mgyecbkgsķjķ ojiobbokom féfj iorombf novrobornfr8

7)K tomjcbc?fsf mubbgjgj h0fpbor efr grgyg iotfrfborom #7)K kcn+bu% cbgrgmfsfkbojnfrfboj eobbom mgrtbgrķ cbuœturubur8 7)K eobbombor, kcn+b tfpborfjo iðro +éogyrķbķrbgrG

f9 om sķrgbķ eobbom kcn+b+ (sfjibo fj9bfjo kokcry kcnubo 9 *WKK "

ff9 <f̀ t sķrgbķ eobbom kcn+b+ (nugb fj9bfjo kokcry kcnubo / 7WKK"

fff9 gkeus sķrgbķ eobbom kcn+b+ (gkeus fj9bfjo kokcry kcnubo 9 WKK"

7)K eobbom kcn+bborfjfj fjhobojkosfjnoj ðjho, 7)K eobbomborno ðjokbf efr yoro sg0fpcbgj #eobbom tgzoboko% fœbokfjf notgybgjnķrgbķk8

92GK Eobbomborno eobbom .gzoboko fœbokf

7)K%borno efbif mgyecbkgsķjķ ojiobbokom féfj, efbif sgmbgkgm gkghķybg mubbgjķbgj0+hroborfj eobfrbf (porfycnfm" zgkgjbgrng yojfbojkosf ioromfr8 Efbifborfj yojfbojkosf fœbokf,‑.gzoboko‖  (ro`ros0fji" cbgrgm fsfkbojnfrfbfr8 6+hroborfj tgzoboko zgkgjķ, 39;L ksj cbgrgmnofœfr8 gzoboko fœbokf, yojf novrobor ioromtfrfr vo novrobor 7)K fœbokfjf mgrkgœķm 0gboiotfrfr8

2omfb ;:8NN8e%no egsftboœtfrfbkfœ tgzoboko novrobf 7)K 0+hrosf ygpķsķ iðr+bkomtonfr8

$78

 

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Morf <ķmķœķ

Morf

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*+tuj (efbif 0gttķ"

=

3orf Ifrfœf

3orf Mķmķœķ

Vgzkg gjg0tgrķ

Eft soéko gjg0tgrķcmukg gjg0tgrķ

gzoboko gjg0tgrķ

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 482/533

Eobbombor 

"omfb 78#16# ;H&@; 7)K eobbofj 0+hro n+zojbokosf8

7)K eobbomborno efbif cmukg $ ygzkg vo eobbom tgzoboko fœbokborfjf 2omfb ;:8NN8e%yfmubbgjgrgm ðzotboyobfk8

Eobbom 0+hrosfjo efbif ygzkg fœbokfjno> gnros mcn éðz+h+noj vo cmu $ ygz novrosfjnoj iobojsfjygbbor, *;  vo *3 gjg0tgrbgrķjķ mgpgtķrmoj *:  vo *N gjg0tgrbgrķjķ gégrbgr8 Eu nuruk, vorfifrfœfjo #=% mcjngjsgtðr+j+ egbgr8 #=% mcjngjsgtðr+jo uyiubgjgj #;% efbifsf mcjngjsgtðr+

œgr? onormoj, #L% bc?fm efbifsf mcjngjsgtðr+ noœgr? onor8 )éķm cbgj *: gjg0tgrķ jonojf fbo, #=%mcjngjsgtðr+ novrojfj éķmķœ mķskķjngj gyrķbķr8

-nogb nurukng #=% mcjngjsgtðr+j+j scjsuz cbgrgm œgr?bķ mgbkgsķ ioromfr8 )jhgm gjg0tgryorfjo mubbgjķbgj K!* obokgjbgrķj fé nfrojéborf +zorfjno cbuœgj sķzķjtķ gmķkķ, eobfrbf efr s+roscjrg mcjngjsgtðrnomf efbifjfj mgyecbkgsķjg soeop cbur8 6+hronoj efbif cmukg fœbokfsķrgsķjng *3, *:  vo *N gjg0tgrbgrķ mgpgbķ fmoj, *; gjg0tgrķ géķm nurukngnķr8 Eu egbgjtķbgr,sgmbgjgj efbifjfj 0fssotko y+msobtohfjo egbgjkgsķjķ sgbgr8 6fssotko y+msobtohf, ro`orgjscbgrgm uyiubgjgj iorfbfk fbo mcjngjsgtðrnoj ioboj iorfbfkf mgrœķbgœtķrķr vo vorf éķmķœķ féfj Lvoyg I vcbt iorfbfk +rotfr8 _rotfboj éķmķœ iorfbfkf *3  vo *N  gjg0tgrbgrķ +zorfjnoj #=%mcjngjsgtðr+jo uyiubgjgrgm mcjngjsgtðrnomf vorfjfj tgzobojkosfjf (œgr? voyg noœgr? onorom"sgbgr8 7for efr noyfœbo> efr eobbom 0+hrosfjno eubujgj vorfyf 0or cmukg fœbokfjno eobbom

0+hrosf tgzobojfr8!rtgbgkg 3 ksj%bfm porfyctbgrbg tgzoboko fœbokf ygpķbgj ;H&@; 7)K eobbomto, 0or ;33 ¿

sj%bfm (3 ksj $ ;H8:N D ;33 ¿sj" s+rono #cmukg% fœbokfjfj ygpķbkgsķ ioromfr8 Eu s+ro, 0ķzbķ7)K%borno efbo écm mķsg zgkgj grgbķķnķr vo jcrkgb cmukg fœbokborf sķrgsķjng k+km+jnofbnfr8 Eu jonojbo, 7)K eobbom ojtoiroborfjno cbuœgj 0or efr #cmukg% fœbokfjno cmujgj

 eobbom 0+hrosfybo gyjķ sķrgng eubujgj t+k 0+hrobor tgzobojfr8 Eu ðzobbfm, t+k eobboftgzobokom féfj iorombf cmukg fœbokf sgyķsķjķ gzgbtķr8 *cjuétg, 3 ksj%bfm zgkgjbgkg nfbfkfféorfsfjno ygbjķzhg ;3 sgtķrķj cmujkgsķ fœbokfjf ioréomboœtfrfr8

Efr eobbomto eubujgj t+k sgtķrbgrķj cmujkgsķ fœbokf, uyiuj œomfbno tgsgrbgjgj efr sgyķhķygrnķkķybg ioréomboœtfrfbfr8 #gzoboko sgyķhķsķ% cbgrgm fsfkbojnfrfboj yumgrķ sgyķhķ fbo, fbm

 eobbom eðbiosfjfj eubujnuu sgtķrngj egœbgjgrgm t+k eobbomboro gft sgtķrbgrķj toksfb onfbnff

sgtķr jukgrgbgrķ tgrgjķr8 5rjofj> ;3 sgtķrķj tgrgjkgsķ féfj A eft%bfm tgzoboko sgyķhķsķ ioromfr

$76

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Eobbombor 

vo sgyķhķ #LLLLLLL% noorfjnoj egœbgygrgm sgykgyg egœbgr (L jcbu sgtķr tgzobojfr"8 *gyķhķ,#;;;;;;;% noorfjo mgngr sgygrgm, ;3A jcbu sgtķrg mgngrmf eobbom 0+hroborfjf tgzobor8 *gyķhķmubbgjķbgrgm ygpķbgj tgzoboko fœbokf crtgbgkg IL Rsj féorfsfjno tgkgkbgjgefbfr8

92GK *om%5b5Jff fbo Òro.fbo% Eobbom K5n?bborf;FL%bf yķbbgrng éf`t sķrgbķ pgmot (7ugb fjtfjo Jghmgio97WJ" ygpķsķjng 3IH &Eft mgpgsftobf

 eobbom ojtoiroborfjfj efr grgng mubbgjķbkgsķ fbo cbuœturubgj 3IH &Egyt )K eobbombor yotorbffmoj, i+j+k+zno I;3 KEyto jcrkgb )K eobbom mgpgsftosf cbgrgm iðr+bkomtonfr8Efbifsgygrbgrng f0tfygé nuyubgj )K eobbom kfmtgrķjķj 0or ioéoj i+j grtkgsķ, +rotfhfborfyojf tgsgrķkbgrg vo ng0g iojfœ mgpgsftobf eobbom kcn+bborf iobfœtfrkoyo zcrbgkķœtķr8 Eobbomojtoiroborfjfj efr grgng mubbgjķbkgsķ fbo cbuœturubgj e+y+m mgpgsftobf eobbombor éðz+k cbsg ng,écm sgyķng eobbom ojtoirosfjfj kfmrcfœbokhf vo ifrfœ$éķmķœ efrfkborfjfj eubujnuu gjg mgrtbgr+zorfjo yorboœtfrfbkosf, efbifsgygr gjg mgrtķjķj ecyutuju e+y+tkomtonfr8 Eu prcebokfj+stosfjnoj iobkom vo ngr gbgjng e+y+m eobbom mgpgsftosf cbuœturkgm gkghķybg, eobbomojtoiroborfjfj pbgstfm efr egsmķ novro +zorfjno nfzfbnff eobbom kcn+bborf iobfœtfrfbnf8 Eobbom

kcn+bborf, 7)K h0fpborf fbo J=E gnķ vorfboj novro mgrtķ vo tokgs y+zoyborfjnocbuœkgmtgnķr8 .obfœtfrfboj eobbom kcn+b+, tom sķrgbķ eobbom kcn+b+ (*WKK", éf`t sķrgbķ eobbomkcn+b+ (7WKK" voyg gkeus 7)K%bgr féfj iobfœtfrfboj (WKK" cbgrgm gnbgjnķrķbķr8 Eutfp eobbom mgrtbgrķjng ifrfœ9éķmķœ uébgrķ egsmķbķ novro mgrtķ +zorfjnonfr8

*WKK kcn+bborfjno egœbgjiķétg n+œ+m mgpgsftobf eobbom ojtoiroborf mubbgjķbķrmoj, ng0gscjrgbgrķ y+msom mgpgsftobf eobbom ojtoiroborf mubbgjķbnķ8 gnot ;KEft mgpgsftobf eobbomojtoirosfjfj efr grgng mubbgjķbkgsķ fbo ;Keft @ D Keft%bfm eobbom obno onfbfr8 2omfb ;:8NA%no KEft%bfm eobbofj *WKK eobbom mgrtķ +zorfjno cbuœuku iðr+bkomtonfr8

$70

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 484/533

Eobbombor 

 

AH

IN

:3

LÉ'(

B"ftLB"ft

3B"ft:B"ft

;B"ft2B"ft

=B"ft4B"ft

7 KEgyt É'(  

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LB"ft

3B"ft

:B"ft

LB33 B"ft

LB3: B"ft

LB3; B"ft

; K Eft

"omfb 78#108 ; KEft%bfm eobbom ojtoirosf fé ygpķsķ vo *WKK eobbom mgrtķjķj cbuœuku8

; KEft%bfm eobbom ojtoirosfjno ;8L3N8LLL eft efbif sķrg 0gbfjno mgynonfboefbfr8 Efbifbor egytœombfjno sgmbgjnķķjngj, gnot ; KEft eobbom ojtoirosfjfj efr grgng mubbgjķbkgsķ fbo ;KEgyt eobbom cbuœturubur (2omfb ;:8NH"8 *WKK mgrtbgrķjng, sgmbgjkgsķ ioromoj efbifnoj ; eft`gzbg efbif eubujnurubur8 1gzbgngj ombojoj eu eft ‑oœbfm ef.f‖ cbgrgm gnbgjnķrķbķr8

5rjofj> ; KEft%bfm ojtoirobor fbo ; KEgyt%bķm eobbom cbuœturkgm féfj, gnot yorfjo F gnotojtoiro mubbgjķbķr8 gnot ojtoiro sgmbgjghgm eftf tutkgm féfj mubbgjķbķrmoj, F eftfjsgmbgjnķķ F8 jtoiro oœbfm eftf féfj mubbgjķbķr8 F8 jtoirono sgmbgjgj eft, somfz ojtoironosgmbgjgj efbifjfj mgé gnot bc?fm #;% féornffjf eobfrtfr8 *fstokno éf t̀ (ovoj" oœbfm eftfmubbgjķbķycrsg, eobbomto sgmbgjgj bc?fm ;%borfj sgyķsķ éf`t cbghgm œomfbno oœftbfm eftf ombojfr8Eobbomtomf eftto eubujgj bc?fm ;%borfj sgyķsķ tom fso, oœbfm eftf cbgrgm #;% ombojfrmoj, bc?fm;%borfj sgyķsķ éf`t fso oœbfm eftf cbgrgm #L% ombojfr8

)éķmbgjnķķ œomfbno oœbfm eftf mubbgjgj eobbombor ‑,grf.obf eobbom‖ cbgrgm tgjķkbgjķr8 Jgrftosfz eobbom ioromoj yorborno pgrftobf eobbom mubbgjķbkgsķ nurukujng, efbifsgygr oœbfm eftfjf toksfbonoj ojtoiroyf iðrkoz8

-bm *WKK%bor :L gnot pfjo vo gnot vorfycbujg sg0fp cbkgsķjg mgrœķj, fmfjhf josfb *WKK

kcn+bborfjno A3 gnot pfj vo :3 eft vorfycbu eubujuycrnu8 *WKK kcn+bborfjfj f0tfyghg hovgp

$7;

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 485/533

  Eobbombor 

vorkokosf vo obomtrcjfm tomjcbc?fsfjno ygpķbgj iobfœkobor scjuhujng, *WKK eobbomkcn+bborfjfj yorfjo fmf mgt mgpgsftoyo sg0fp ‑Mf`. Nķrgbķ Eobbom K5n?bborf‖  (7ugb Wj9bfjoKokcry Kcnubo 9 7WKK" iobfœtfrfbnf8 -bm iobfœtfrfboj 7WKK kcn+bborf ;H gnt pfjo vo HN

 eft vorfycbujg sg0fptf8 7WKK eobbom mgrtbgrķjng mubbgjķbgj 7)K ojtoiroborfj nðrt tgrg`ķjng

ng ué eubujkgmtg vo eobbof koyngjg iotfroj mgtkgjbgr vo ncbgyķsķybg tcpbgk eobbommgpgsftosf grtķrķbkgmtgnķr (2omfb ;:8NA"8

 

"omfb 78#1;# 7WKK eobbom kcn+bborfjfj cbuœturubkgsķ8

WKK kcn+bborf gjeus 7)K%bgr féfj iobfœtfrfboj kcn+bbornfr8 ;N gnot pfjo sg0fp cbgjkcn+b y+msom vorf fbotfk 0ķzķjķ nostombokomto vo scutuhuyg f0tfygé cbuœkgmtgnķr8

0#$#;# 2GK Eobbom H'4)bgkgbgrķ

)K eobbomborfj uyiubgkg gbgjbgrķ géķsķjngj, nfjgkfm )K (7)K" eobbombor stgtfm )K(*)K" eobbomboro iðro ng0g iojfœ efr mubbgjķk gbgjķjg sg0fptfr8 Eujuj jonojf,7)K%bgrķj ng0g m+é+m ðbé+boro, ng0g uhuz `fgtg vo ng0g gz i+é t+motfkfjo sg0fpcbkgbgrķjngjnķr8 Eujujbg eorgeor, stgtfm )K%bgr ng0g m+é+m orfœfk zgkgjķjg sg0fptfr vo#tgzoboko% novrosfjo ioromsfjfk ycmtur8

*)K%bgr m+é+m ðbé+no ([HN&" cmu$ygz eobbom ioromsfjfkf cbgj yorborno voyg 0ķzbķ eobbomorfœfkfjfj ðjokbf cbnuu nurukbgrng mubbgjķbķrbgr8 7)K%bgr fso iojfœ ðbéombf cmu$ygz

 eobbom ioromoj yorborno torhf0 onfbfrbor8

)K eobbomborfj oj ygyiķj mubbgjķk yorf kfmrcfœbokhfbf sfstokbornfr8 )K eobbombor, œg0sf efbifsgygrbgrngj nf?ftgb csfbgsmcpbgrg, nf?ftgb mcjtrcb sfstokborfjnoj mbgvyo vo iðr+jt+bokoobokgjbgrķjg mgngr écm `grmbķ yorborno mubbgjķbkgmtgnķr8

2omfb ;:8N%no, kfmrcfœbokhfbf sfstokborno mubbgjķbgj )K%bgrķj ygpķsķ iðr+bkomtonfr8Kfmrcfœbokhfbf sfstokno eubujgj gnros ycbu vo vorf ycbuju mcjtrcb onoj vo mcjtrcb sfjygbborf+rotoj kfmrcfœbokhf ygrnķkķybg efr eobbom eðbiosfjnomf efbif cmujgefbfr voyg efr eobbom

 eðbiosfjo efbif ygzķbgefbfr8

Kfmrcfœbokhfbf sfstokno eubujgj vorf ycbu mubbgjķbgrgm vorfbor sfstok féorfsfjno fbotfbfr8 +k efrfkborfj gyjķ vorf ycbuju mubbgjkgsķ jonojf fbo, vorf ycbu efr gjng ygbjķzhg efr efrfktgrg`ķjngj vorf ygzkgm voyg vorf cmukgm féfj mubbgjķbgefbfr8 -botfbohom vorfjfj vorf ycbu

+zorfjo yorboœtfrfbkosfjnoj ðjho, orfœfbkosf fstojoj eobbom eðbiosfjf toksfb onoj gnros noorf

$7:

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Eobbombor 

gnros ycbujg yorboœtfrfbfr8

 

"omfb 78#1:# )K eobbomborfj kfmrcfœbokhfbf sfstokborno mubbgjķbkgsķ8

2omfb ;:8N%nomf novrono, 0or efrf 3IH@ eft efbif sgmbgkg mgpgsftosfjo sg0fp nðrt gnot )Kojtoirosf eubujkgmtgnķr8 )K ojtoiroborfjnoj 0gjifsfjfj yotmfbojnfrfbohofjo, kfmrcfœbokhftgrg`ķjngj +rotfboj gnros noorf fbo mgrgr vorfbfr8 Votmfbojnfrfbohom )K ojtoirosfjo y+msom

noorbf gnros ycbujng eubujgj noorbor fbo mgrgr vorfbfrmoj, yotmfbojnfrfboj )Kojtoirosfjno orfœfbohom eðbio n+œ+m noorbf gnros ycbujng eubujgj noorbor fbo eobfrbojfr8)nros mcn éðz+h+ cbgrgm mubbgjķbgj AN;: ojtoirosf éķmķœbgrķjngmf noorboro iðro> L / 3IIgrgsķjngmf eobbom eðbioborfjf féoroj )K L, 3IH / I;; grgsķjngmf eobbom eðbioborfjfj féoroj)K ;, I;3 / AHH grgsķjngmf eobbom eðbioborfjf féoroj )K 3 voyg AHA / ;L3: grgsķjngmf

 eobbom eðbioborfjf féoroj )K : ojtoiroborfjnoj efrfsf soéfbfr8 *oéko fœbokf féfj> gnrosycbujng eubujgj ), )F  vo );L 0gtbgrķ mcn éðz+h+ AN;: ojtoirosfjfj soéko ifrfœborfjouyiubgjķrmoj, );; / );I grgsķjngmf 0gtbgr mcn éðz+h+j+j #yotmfbojnfrko% ifrfœfjo uyiubgjķr8);; / );I  0gtbgrķjķj t+k+j+j #L% cbkgsķ fbo mcn éðz+h+ ojtoirosf yotmfbojnfrfbfr vo )9)F9);L  0gtbgrķjķj noorborfjo iðro mcn éðz+h+j+j éķmķœķjng cbuœgj noorbor uyiuj cbgj )Kojtoirosfjfj soéfbkosfjf sgbgr8

0#$#:# ‑BGN>‖ Eobbombor

$7

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 487/533

  Eobbombor 

.ojfœ eobbom 0+hrosf mgpgsftosfjo sg0fp cmu $ ygz eobbom cbgj #1bgs0 eobbombor%, uéuhucbkgygj (jcjvcbgtfbo" eobbombornfr8 #1bgs0% eobbomborno y+msom ycujbuuj (e+y+m efbifnopcbgkg mgpgsftosf" jonojf> eobbom 0+hrosf cbgrgm K!* trgjsfstðr+j mubbgjķbkgsķnķr86+hrono nopcbgjghgm efbifjfj #L% voyg #;% cbkgsķ, K!*%uj mgpķsķ (igto" +zorfjno œgr?

cbuœkgsķ $ cbuœkgkgsķ scjuhuju ncurur8-nogb efr eobbomto eubujkgsķ iorombf> écm efbif sgmbgkg, m+é+m orfœfk zgkgjķ, uéuhu cbkgkg,cmukg $ ygzkg fkmgjķ, y+msom fœbok 0ķzķ, eft egœķjg n+œ+m kgbfyot ifef ðzobbfmboro sg0fp#1bgs0% eobbombor, nfor eobbom tfpborf fbo mgrœķbgœtķrķbķjhg +st+jb+mboro sg0fptfr8 <+jm+, nfor

 eobbom t+rborf eobfrtfboj ðzobbfmborfj efr mķskķjg sg0fp fmoj, 1bgs0 eobbombor fstojoj t+kðzobbfmboro sg0fptfrbor8 1bgs0 eobbombor, !K, )K vo mķsķtbķ nopcbgkg gbgjķjg sg0fp efrnfsmfj mgrķœķkķ cbgrgm noorbojnfrfboefbfr8

1bgs0 eobbombor mcbgyhg yojfnoj prcirgkbgjgefbfrbor8 <+jm+ cmu $ ygz ðzobbffjo sg0fptfrbor8&+é+m mgrtbgr œombfjno +rotfboj `bgs0 eobbombor, uéuhu cbkgygj (jcj9vcbgtfbo" eobbombornfr vo7)K eobbombornoj `grmbķ cbgrgm ojor?f mosfbfjho ng0f sgmbgjgj efbifyf mcrurbgr8

!K%bgrg iðro mcbgyhg yojfnoj prcirgkbgjgefbko +st+jb++jo sg0fp 1bgs0 eobbombor,*)K%bgrg iðro y+msom efbif mgpgsftosfjo sg0fp cbkg vo uéuhu cbkgkg +st+jb+mborfjosg0fptfrbor8 7)K eobbombor fbo mgrœķbgœtķrķbgj #1bgs0% eobbomborfj, tgzobojko fœbokfjo ioromnuykgkg vo n+œ+m i+é t+motfkf ifef +st+jb+mboro sg0fp cbnuu iðr+b+r8

1bgs0 eobbombor 0or efr eyto féfj ;L ¿sj ygzkg zgkgjķjg sg0fptfr8 Eu noorbor 0ķzbķJ!K%bgrng I ksj vo J!K%bgrng ;LL ¿sj%nfr8

V+msom 0ķzbgrķ, i+vojfbfr cbkgbgrķ vo n+œ+m ojor?f t+motfkborf fbo t+k nf?ftgb hf0gzbgrngygyiķj cbgrgm mubbgjķbgj `bgs0 eobbom tomjcbc?fsf eoœ `grmbķ œomfbno +rotfbkomtonfrborG hckpght`bgs0, sohuro nfiftgb, kubtfkonfg hgrn, skgrt konfg vo kokcry stfhm8

0#$## Efb4fg'grbgrng ()bbg%ķbg% Eobbom Moœf.borf

Efbifsgygrbgrng vo ðzobbfmbo J=%borno mubbgjķbgj eobbombor, !K vo )K eobbomborfj `grmbķygpķk œomfbbborfjno f0tfygébgrg iðro iobfœtfrfbkosf fbo cbuœturubuycr8 Eobfrbf efr s+roéféorfsfjno efbifsgygrbgrng mubbgjķbgj eobbomborfj iojob ðzobbfmborf gœgķngmf œomfbnoðzotboyoefbfrfz8

N2GK N.g.fm 2g%n5k G&&o Kok5r'! 7ovroyo gmķk sgbgjnķķ s+roho efbifborfjmgyecbkgnķķ, 3Ljsj%bfm 0ķzg sg0fp, pg0gbķ `gmgt 0ķzbķ, ðjeobbomborno torhf0 onfboj eobbom t+r+8Kfmrcfœbokhfborno X; vo X3 cbgrgm fsfkbojnfrfboj ðj eobbombor *)K ygpķsķjngnķrbgr8gsgrķk zcrbuu, y+msom kgbfyotf jonojfybo stgtfm eobbombor gjhgm y+msom 0ķzg f0tfygénuyubgj yorborno mubbgjķbķr8 Efr eftbfm efbifjfj sgmbgjkgsķ féfj fmf gnot trgjsfstðr mubbgjķbķr vofmfjhf trgjsfstðr fbm trgjsfstðr+j éķmķœķjķ mcjtrcb onor8

92GK 9'%gkf& 2GK! Efr eftbfm efbifyf sgmbgkgm féfj tom efr trgjsfstðr+j mubbgjķbnķķ,

*)K%o iðro ng0g egsft efr ygpķng vo ng0g uhuz cbkgsķjg mgrœķbķm, sgmbgjgj efbifborfj

$$<

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 488/533

Eobbombor 

s+rombf tgzobojkosfjo f0tfygé nuyubgj eobbom t+r+8 'huz vo *)K%o iðro ng0g ygvgœ cbkgsķjonojf fbo eobbom ojtoiroborfjno mubbgjķbķr8

L9=2GK LF.o%non 9g.g =).,). 2GK! 7)K%borfj iobfœtfrfbkosf fbo cbuœturubgj, IL

9 AL jsj orfœfk 0ķzķjng vo HH K6z%no égbķœgj eobbom t+r+8 Eobbom yuvgbgrķjg fmfbf irupbgr0gbfjno tgmķbkgsķ ioromfr8

32GK 3fno5 2GK!.ðr+jt+ efbifborfjf 0ķzbķ efr œomfbno fœbokom vo gmtgrkgm féfjmubbgjķbgj eobbom t+r+8 -mf gyrķ ifrfœ$éķmķœ efrfkfjo sg0fp vo eujbgrngj efrfsf iðr+jt+ efbifsfjfcbuœturkgm féfj mubbgjķbķrmoj, fmfjhfsf efbifborf kcjftðro iðjnorkom féfj mubbgjķbķr8 -mfjhf

 pcrt egjn iojfœbffjf grtķrkgsķjg rgkoj fmf mgtķjg éķmgrkgz vo sgnoho y+msom éðz+j+rb+mtovoyg rojifj sðz mcjusu cbkgsķ nurukujng otmf onor8

2GK f%n5\ 2GK! M)K eobbomborfj iobfœtfrfbkosf fbo obno onfbfr vo ombojoj yojfnovrobor ygrnķkķ fbo ðzob iðr+jt+ `cjmsfycjbgrķjķj ng0g 0ķzbķ ioréomboœtfrfbkosf sgbgjķr85zobbfmbo gjfkgsycjbgrng otmfj cbgj C)K eobbombor, omrgj mgrtbgrķjng mubbgjķbkgmtgnķr8

NI2GK N'%&ar5%5) Irg,af& 2GK! Morfborf tom tom yorfjo ebcmbgr 0gbfjno gbgrgm

fœboyoj vo eu ðzobbff jonojf fbo cmukg$ygzkg por`crkgjsķjķ ðjokbf ðbé+no grtķrgj eobbomt+r+8 5zobbfmbo irg`fm mgrtbgrķjng mubbgjķbkgmtg vo por`crkgjsķ grtķrkgmtgnķr8

N92GK N'%&ar5%5) 92GK! Kfmcfœbokhf sfstok `romgjsķ fbo eobbofj eobbofj égbķœkg`romgjsķjķj efrefrfybo sojmrcjfzobf égbķœkgsķ féfj iobfœtfrfboj eobbom t+r+8 Eobboo ifnojmckutbgrng 0ķzbgjkg vo sfstok por`crkgjsķjng grtķœ sgbgygj eobbom t+r+8 Jfygsgng J= HH,J= ;LL, J= ;:: cbgrgm +é `grmbķ éoœfnf eubujkgmtgnķr8 *7)K%boro ombojoj #eobbommcjtrcb+% novrosf fbo por`crkgjsķj grttķķ eobbomborno efbifyo orfœfk s+rosf crtgbgkg ;Ljsjhfvgrķjngnķr8

9922GK 95)ebo 9g.g 2g.o 2GK! *79)K%borfj iobfœtfrfbkfœ œombf cbgj 779)K%bor, *7)K WW voyg 779*7)K cbgrgmtg fsfkbojnfrfbkomtonfr8 <gbķœkg `romgjsbgrķy+msom cbgj eu eobbomborno ;LL K6z%no égbķœgj J= 3LL vo ;:: K6z%no égbķœgj J= 3HHcbkgm +zoro fmf éoœft eubujkgmtgnķr8 *7)K%borno :,:M cbgj égbķœkg iorfbfkfjfj 3,IM%gfjnfrfbkosf jonojf fbo tgœķjgefbfr efbifsgygrbgrng torhf0 onfbkomtonfr8

2GKEHN  -œ fstgsycjbgrķjng y+r+t+boj :7 irg`fm, vfnoc vo gjfkgsycjbgrng torhf0 onfboj eobbom t+r+8 7)K, =cjhurojt 7)K vo 7froht 7)K cbkgm +zoro +é `grmbķ ygpķng+rotfbkomtonfr8 j egsft ygpķyg sg0fp 7)K%bor, 779*7)K%bornomf ifef n+œoj voy+msoboj mojgrbgrķ vorf fbotfœfkf féfj mubbgjķr8 =cjhurojt )KE'*, 7)K%fj iobfœtfrfbkfœ

 efr t+r+n+r8 Morf trgjs`orfjfj sojmrcj cbgrgm ioréomboœtfrfbnff =cjhurojt )KE'*%bgrngHL K6z%bfm égbķœkg `romgjsķjng sgjfyono HLL KEgyt%bķm vorf trgjs`orfioréomboœtfroefbkomtonfr8 7froht )KE'*%bgr fso oj iobfœkfœ )KE'* éoœfnfnfr vo LLK0z%bfm égbķœkg `romgjsķjng sgjfyono ;,H .egyt%bķm vorf fbotoefbkomtonfr8

:# Eobbom Ðbé?borf%f% Io%fœbo.fbkof

$$7

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 489/533

  Eobbombor 

Eobbombor, 0or efr gnrosto sgmbgjgj mobfko uzujbuu (eft sgyķsķ" voyg sgmbgjgefbohom mobfkokfmtgrķ géķsķjngj iojfœbotfboefbfrbor8 6or fmf iojfœbotko fœbokfjf efrbfmto ygpkgmtgk+km+jn+r8

:#7 Eobbom (obfko Hz)%b)U)%)% Io%fœbo.fbkof

Efr eobbomto sgmbgjgefbohom mobfkojfj uzujbuuju grttķrkgm féfj, vorf ycbujngmf eftborfj(0gtbgrķj" sgyķsķjķ grttķrkgm iorombfnfr8 5rjofj> obfkfzno eubujgj N eft mobfko uzujbuujgsg0fp eobbom ojtoiroborf fbo (2omfb ;:8NF8g", eftbfm mobfko uzujbuujg sg0fp eobbombor+rotkom k+km+jn+r (2omfb ;:8NF8e"8

&obfko uzujbuuju grtķrkgm gkghķybg fmf ojtoiro efrbfmto mubbgjķbkgsķjg rgkoj, iorombfcbgj gnros 0gttķ sgyķsķjng efr nofœfmbfm ycmtur8 7for efr nofœbo, eobbom ygpķsķ gyjķ eobbomgnrosf sgyķsķjg sg0fptfr (2omfb ;:8IL"8 )nros ycbu +zorfjo efr gnrosfj yorboœtfrfbkosf fbo, fmfojtoirono eubujgj gyjķ jukgrgbgrķ gnrosbor soéfbfr vo 0or fmf gnrosto eubujgj noorbor, vorfycbujg yorboœtfrfbfr8 Morf ycbujng 0gttķj eubujkgsķ vo ojtoirobornomf eftbfm efbifjfj gyjķ

gjng vorf ycbujg yorboœtfrfbkosf jonojf fbo mobfko uzujbuu efto y+msobtfbkfœ cbur8 6orefrgnrosto sgmbgjgj efbif fso efto y+msobkfœtfr8

 

g! -mf gyrķ ;H@N !K eobbom ojtoirosf8 e! -mf gnot ;H@N !K fbo ;H@ !K cbuœuku8

"omfb 78#1# -mf gnot ;H@N !K mubbgjgrgm ;H@ eobbom obno onfbkosf8

$$$

 

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 490/533

Eobbombor 

"omfb 78#6<# !K%bgrķj mobfko uzujbuujuj iojfœbotfbkosf féfj iorombf egbgjtķ8

Ðr%om 8  -mf gnot 3IH@N )K eobbom mubbgjgrgm, 3IH@ mgpgsftosfjno eobbom +rotkom féfjiorombf egbgjtķyķ ygpgbķk8

)K eobbombor, gnros 0gttķ egbgjtķsķ cbgrgm !K eobbombor fbo gyjķ egbgjtķyg sg0fptfr8 -mfojtoironomf gyjķ fsfkbf gnrosborfj soéfbkosf fbo mobfko uzujbuu grtķrķbķr (2omfb ;:8I;"8

!K eobbombornoj `grmbķ cbgrgm> cmu $ ygz mcjtrcb ifrfœborfjfj ygjķ sķrg, ygzkg ifrfœborfjosg0fptfr8 Vgzkg fœbokf féfj CDL uyiubgjķr vo eobboo ygzķbghgm efbifbor vorf ycbujgyorboœtfrfbfr8 )yjķ vorf ycbu ygzkg fœbokf sķrgsķjng ygzķbghgm vorfborfj eobboo ifrfbkosf voygcmukg fœbokf sķrgsķjng eobbomtomf efbifborfj gbķjkgsķ féfj mubbgjķbķr8 Vgzkg fœbokf sķrgsķjng,+é mcjukbu éķmķœ yotmfsfzbojnfrfbfr vo éķmķœbgrķj otmfbojkosf ojiobbojfr (2omfb ;:8I;"8

:#$# Eobbom Eb4of Ng'ķķ%ķ% Gr..ķrķbkgķ

Eobbomborno sgmbgjgefbohom mobfko sgyķsķjķj grttķrķbkgsķ féfj, gnros sgyķsķjķj grttķrķbkgsķiorombfnfr8 )nros sgyķsķjķj grttķrķbkgsķ féfj fso, gnrosborf toksfb onoj vo gnros mcn éðz+h+s+jouyiubgjgj eftborfj sgyķsķjķj grttķrķbkgsķ ioromfr8 )nros eft sgyķsķjķj grttķrķbkgsķ ojtoiroborfj

 efrbfmto mubbgjķbkgsķ vo ojtoiroborfj uyiuj œomfbno soéfbkosf fbo sgbgjķr8

Efrefrfjnoj egķksķz cbgrgm mubbgjķbgefboj 3IH@N !K eobbomborf mubbgjgrgm (2omfb ;:8I38g",I;3@N mgpgsftosfjno efr eobbom cbuœturgbķk8

&ubbgjķbgj 3IH@N ðbé+s+jnomf eobbomborno, 3IH gnot gnros eðbiosf eubujur vo eðbioborf toksfbotkom gkghķ fbo eft mubbgjķbķr8 !buœturubkgm fstojoj I;3@N mgpgsftosfjnomf yojf eobbomto

fso, F gnot gnros 0gttķ eubujkgsķ ioromfr (2omfb ;:8I38e"8 F8 gnros 0gttķ cbgrgm, eobbomojtoirosfjfj #yotmfbojnfrko% ifrfœf mubbgjķbķr vo #yotmfbojnfrko% ifrfœf fbo uyiuj cbgj ojtoiro

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 491/533

  Eobbombor 

gmtf` 0gbo iotfrfbfr8 #Votmfbojnfrko% ifrfœf fbo gmtf` 0gbo iotfrfboj ojtoironomf eobbom eðbioborfsoéfbfr vo soéfboj gnros eðbioborfjo orfœfboefbfr8

"omfb 78#67# -mf gnot 3IH@N )K fbo 3IH@ )K eobbom cbuœturubkgsķ8

  g! 3IH@N !K eobbombor8 e! -mf gnot eobbom mubbgjķbgrgm I;3@N eobbom cbuœturubkgsķ8

"omfb 78#6$# Eobbomborno gnros sgyķsķjķj iojfœbotfbkosf8

-mf eobbofj efr grgng mubbgjķbkgsķ fbo 2omfb ;:8I3%nomf bc?fm egbgjtķ crtgyg éķmgr8 !buœgjyojf novrono, vorf tgœķtķjng nðrt 0gt eubujur vo 0or efr gnros eðbiosfjno nðrt eftbfm efbifmgynonfboefbfr8 Eujuj gjbgkķ> gnros eðbioborfjno eobbomto sgmbgjgj mobfko uzujbuujng efrnofœfmbfm ycmtur8

$$1

 

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 492/533

Eobbombor 

jtoironomf ; ifrfœborf efrboœtfrfborom, iojob mcjtrcb ifrfœf cbgrgm mubbgjķbķr8 L ifrfœborf fso,#)% gnros ifrfœf ifef egbgjķr vo )%fj noorfjo iðro !K; voyg !K3 ojtoiroborfjnoj

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) ifrfœf TLT ygpķbnķķ zgkgj #!K;% soéfbfr vo eu ojtoiro féorfsfjnomf 3IH gnros eðbiosfjoorfœfboefbfr8 )L9)A gnros eftborfjfj nurukujg iðro #!K;% féorfsfjnomf gnrosbor soéfbfr8 )D;cbkgsķ nurukujng, T7Z-XT mgpķsķjng torsbojoj vo L ifrfœfjo uyiubgjgj noor, #!K3%ojtoirosfjf gmtf` 0gbo iotfrfr8 T!K3T gmtf` cbkgsķjngj ncbgyķ, )L9)A ifrfœborfjo uyiubgjgjnooro iðro T!K3T féorfsfjnomf gnros eðbioborf soéfboefbfr8

!K eobbombor ifef, )K eobbomborfjno efbif sgmbgkg mgpgsftosfjfj grtķrķbkgsķ k+km+jn+r8)K eobbomborfj mgpgsfto grtķrķkķjg ðrjom cbkgsķ géķsķjngj, fmf gnot ;H@N )K eobbommubbgjgrgm, :3@N )K eobbom obno onfbkosfjf fjhoboyobfk8

"omfb 78#68# !K Eobbomborno gnros sgyķsķjķj grttķrķbkgsķ8

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Eobbombor 

#7Z-X% mgpķsķ +zorfjnoj efrbfmto egbgjkgsķ, fmf ojtoirojfj gyjķ gjng gmtf` cbkgsķjķojiobbor8

-mf gnot ;H@N )K%ķj 2omfb ;:8IN%nomf ifef egbgjkgsķ fbo cbuœgj :3@N mgpgsftosfjnomf

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Eobbombor 

:8 Eobbomborno mgpgsfto 0ķz fbfœmfsfjf géķmbgyķjķz8

N8 Vgrnķkhķ eobbom obokgjbgrķjķ sķrgbgyķjķz8

I8 Eobbomboro efbif yorboœtfrfbkosf yðjtokborf jobornfrS

H8 #Eobbom 0+hrosf% vo #Eobbom mobfkosf% torfkborfjf géķmbgyķjķz8

A8 #Eobbom nfzfsf% torfkfjf géķmbgygrgm ;H@N vo ;3@ eobbom nfzfborf cbuœturujuz8

8 #Eobbom mgpgsftosf% torfkfjfj tgrf`fjf ygpķjķz8

F8 #Eyto% vo #4feebo% mgé eftbfm efbifyf tgrf̀ otkomtonfr8

;L8 #HK@% vo #;LK@;H% mgpgsftobf eobbomborno sgmbgjgefbohom efbif kfmtgrķjķ eubujuz8

;;8 Eobbomborno gnros eðbiosfjf eubkg fœbokfjf ðzotboyfjfz8

;38 #Eobbomborno orfœfk zgkgjķ% torfkfjf géķmbgyķjķz8

;:8 Eobbomborno cmukg fœbokfjf ðzotboyfjfz

;N8 Eobbom ojtoiroborfjno 0gjif ifrfœbor eubujur8

;I8 Eobbomborno eubujgj tgœķt éoœftborf vo fœbovborf jonfrS

;H8 Eobbomborf ̀ grmbķ egmķœ géķbgrķ fbo sķjķ`bgjnķrķjķz8

;A8 #Kgjyotfm eobbomborf% géķmbgyķjķz8

;8 Kgjyotfm eobbom éoœftborf jobornfrS

;F8 !ptfm nfsm eobbomborfj iojob égbķœkg projsfpborfjf ðzotboyfjfz8

3L8 Vgbjķzhg cmujgefboj eobbomborfj (!K" ygpķsķjķ géķmbgyķjķz8

3;8 *fbfjfp9prcirgkbgjgefbfr !K%bgrķj égbķœkg projsfefjf géķmbgygrgm, éoœftborfjf

sķrgbgyķjķz8338 j yojf tomjcbc?f fbo +rotfboj eobbom t+r+ jonfrS

3:8 #Eobbom yotmfbojnfrko% fœbokfjf tgjķkbgyķjķz8

3N8 )K eobbom uyiubgkg gbgjbgrķjg ðrjom vorfjfz8

3I8 )K eobbomborfj ðzobbfmborfjf ðzotboyfjfz8

3H8 )K eobbom fé ygpķsķjķ œomfbbo géķmbgyķjķz8

3A8 N@N )K eobbom crigjfzgsycjuju œomfbbo mķsghg géķmbgyķjķz8

38 )K éoœftborfjf ðzotboyfjfz8

3F8 *tgtfm )K%bgrķj iojob ðzobbfmborfjf géķmbgyķjķz8

$$;

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  Eobbombor 

:L8 *)K 0+hrosf bc?fm œokgsķjķ éfzorom, mķsghg ðzotboyfjfz8

:;8 7fjgkfm )K tokob 0+hrosfjfj iojob ðzobbfmborf jobornfrS

:38 7)K%bgrng #eobbom tgzoboko% fœbokfjf ðzotboyfjfz8

::8 &@; 7)K eobbom 0+hrosfjfj 0+hro n+zojbokosfjf œomfbbo géķmbgyķjķz8

:N8 !K eobbomborno eubujgj iojob mķsķkbgr jobornfr8

:I8 1bgs0 eobbomborf nfor eobbom t+rborf fbo mgrœķbgœtķrķjķz8

:H8 )nros mcn éðz+h+borfj fœbovf jonfrS

:A8 Eobbomborfj ðbé+borfjfj iojfœbotfbkosf fœbokfjf ðzotboyfjfz8

:8 N@N !K eobbombor mubbgjgrgm N@ eobbom obno onfjfz8

:F8 ;H@ !K eobbombor mubbgjgrgm ;H@;H eobbom obno onfjfz8

NL8 ;H@N )K eobbombor fbo, ;H@;H eobbom obno onfjfz8

N;8 )K vo !K eobbomborno mobfko uzujbuujuj grtķrķbkgsķ féfj fœbok ̀ grmķ vgrkķnķrS

N38 ;H@;H !K eobbombor mubbgjgrgm :3@;H eobbom cbuœturujuz8

N:8 ;H@;H )K eobbombor fbo :3@:3 eobbom cbuœturubgefbfr kfS

NN8 3J!K eobbomborfj nfor !K eobbom t+rborfjo +st+jb+mborf jobornfr8

NI8 !K uyiubgkg gbgjbgrķjg : ðrjom vorfjfz8

NH8 !K eobbomborfj vorf tgebcbgrķ cbuœturkgm gkghķybg mubbgjķkķjķ géķmbgyķjķz8

NA8 rgjsfstðr mubbgjgj *)K fbo K!* vo =K!* mubbgjgj *)K%bor grgsķjngmf ygpķ `grmķjonfrS

N8 ;H&@; )K ojtoirosfjfj 0+hro n+zojbokosfjf éfzfjfz8

NF8 1bgs0 eobbomborfj iojob ðzobbfmborf jobornfrS

IL8 7fjgkfm eobbomborno eobbom tgzoboko fœbokf 0gjif fœbok sķrgsķjng ygpķbķrS

$$:

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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Eobbombor  $$

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  \B!‖borfj prcirgkbgjkgsķ

8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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 \rcirgkbgjgefbfr Bcdfm bokgjbgr 

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jtoirojfj prcirgkbgjkgsķ5 ojtoiro ng/fbf vorf /gtbgrķ <&orfjno eubujgj sficrtgbgrķjgrtķrķbkgsķ +\UCK‖bgrng cbnu#u ifef, œombfjno ioréomboœtfrfbfr7 'ficrtg5 ojtoirojfj <rotfkfsķrgsķjng fj%o kotgb œorft voyg nf#or fbotmojbor mubbgjķbgrgm cbuœturubur +1omfb 64767g,7 'ficrtg

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  \rcirgkbgjgefbfr Bcdfm bokgjbgr 

tgjķygj vo KC' tomjcbcdfsf mubbgjķbgrgm cbuœturubgj prcirgkbgjgefbfr obokgjbgr5 ubtrgvfycboķœķjbg sfbfjfp8prcirgkbgjgefboj bcdfm obokgjbgr +rgsogebo \B!8\B!, vo obomtrfmsob cbgrgmsfbfjfp8prcirgkbgjgefboj obokgjbgr +bo%trf%gbby rgsogebo \B!82\B!, cbkgm <&oro fmf(grmbķ ygpķng <rotfbfrbor7 bomtrfmsob cbgrgm sfbfjoefbkosf vo yojfnoj prcirgkbgjgefbkosf féfj

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 504/533

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 505/533

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

http://slidepdf.com/reader/full/lojik-devreler-profdr-hueseyin-ekiz-ders-notlari 508/533

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  \rcirgkbgjgefbfr Bcdfm bokgjbgr 

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  \rcirgkbgjgefbfr Bcdfm bokgjbgr 

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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 \rcirgkbgjgefbfr Bcdfm bokgjbgr 

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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  \rcirgkbgjgefbfr Bcdfm bokgjbgr 

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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8/10/2019 Lojik Devreler - Prof.dr. Hüseyin EKİZ Ders Notları

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