Upload
eem-ders-notlari
View
267
Download
0
Embed Size (px)
Citation preview
8/9/2019 Lojik Tasarım - İTÜ Çözümlü Uygulamalar
http://slidepdf.com/reader/full/lojik-tasarim-itue-coezuemlue-uygulamalar 1/21
!.X.Ù =4.=4.4==" Dfinfsjyjr Kùloghfsif#f DõiùkùVrh.H`î.Hr. Eozj D_SI_BJ
I@C!A HOUTOIOT ! HÕGOK R@G_ RFGJUFJÎFAIJKJIJT3". Rĺgjv Rùrosf ""= hjafajhĺr.4. Nõzotkogioro s`ru s`rkjyĺgĺz.2. A`pyj îoatf#f doifriogogior Ejaùito Hfsfpifg Auruiugj sova ohfioboatfr.
R@T_ "3Du s`rugug $ĺaijr ĺ dfrdfrfghog dj#ĺksĺz `ijrja îõzùiodfifr.j) J$j#ĺhj vorfiog ùî nfrf$if, ùî îĺa ĺ$iĺ nogoi e`gasfy`gu, uynug d`yuttj dfr jhot a`h îõzùbù vo
sjhobo 4 nfrf#if i`cfa dj#ijîijr auiijgjrja tjsjrijyĺgĺz.e :(j,d,b) ; jdb' + d'b
e 4(j,d,b) ; d'b' + dbe 2(j,d,b) ; j'db' + jd'
d) Dfr jhot vorf nfrf$f (\), dfr jhot vorf îĺa ĺ$ĺ (S) `ijg vo 8 jhot H tfpf fzfg nfrf$if tutubu (ijtbl)fîorog dfr hovro tjsjrijgjbjatĺr. Hovrogfg auiijgĺbĺsĺ, \ nfrf$fghog noiog vorfyf du tutubuijr-hjg fstohf#fgo yjzhĺrjdfioboatfr1 S îĺa ĺ$ĺghj hj fstohf#f tutubugug fîorf#fgf nõrodfioboatfr.Hovrogfg noroaif sjyĺhj yjzkj soîko nfrf$f (VR) vo `aukj soîko nfrf$f (@R) `ijbjatĺr. VR nfrf$iorf vorfgfg ljgnf tutubuyj yjzĺijbj#ĺgĺ, @R nfrf$iorf fso ljgnf tutubugug fîorf#fgfgîĺa ĺ$j jatjr ĺijbj#ĺgĺ doifrioyoboatfr. Du hovroyf, noroaif d`yutijrhj dfr jhot a`h îõzùbù vo dfrjhot vorf soîfbf auiijgjrja tjsjrijyĺ p îfzfgfz. Xutubuijr ĺg fî yjpĺijr ĺgĺ nõstorkogfzo noroay`atur1 du oiokjgijr ĺ di`a hfyjnrjk `ijrja nõstorodfifrsfgfz.
R@T_ 43 {=,",4,2,8} aùkosf fîfgho sjyĺk yjpjbja `ijg dfr sjyĺbĺ tjsjrijgjbjatĺr. Rjyĺbĺgĺg sjjt nfrf$fhĺ$ĺghj dfr ho hogotfk nfrf$f (\) vjrhĺr. \;= `ihu#ughj sjyĺbĺ, sjjt f$jrotfgfg îĺajg aogjrijr ĺghj4 jhĺk norfyo, \;: `ihu#ughj fso " jhĺk fiorfyo sjykjatjhĺr. Rjyĺbĺ fia îjiĺ$kjsĺgj sĺe ĺrsjyĺsĺghjg dj$ijkjatjhĺr.j) Rjyĺbĺyĺ sogar`g jrhĺ$ĺi dfr hovro `ijrja tjsjrijkja ùzoro huruk tjdi`sugu `iu$turuguz.d) Rjyĺbĺyĺ X eifp-ei`pijr ĺ vo noroaif sjyĺhj i`cfa ajpĺ auiijgjrja tjsjrijyĺ p îfzfgfz.b) Jygĺ sjyĺbĺyĺ H eifp-ei`pijr ĺ, uynug d`yuttj vorf soîfbfior auiijgjrja tjsjrijyĺ p îfzfgfz.
Noroakosf hurukughj oa `ijrja tùkioko ajpĺijr ĺ auiijgjdfifrsfgfz.h) Xjsjrijhĺ#ĺgĺz sjyĺbĺ lorljgnf dfr gohogio “?‖ hurukugj noîorso dfr s`grjaf huruku go `iur0
Vuajr ĺ
hjaf d vo b $ĺ
aijr ĺ
ghj yjptĺ
#ĺ
gĺ
z lor faf tjsjr ĺ
k fîfg jyr ĺ
jyr ĺ
bovjpijyĺ
gĺ
z.o) Auiijgĺbĺg fsto#fgo dj#iĺ `ijrja sjyĺbĺgĺg, sjjt f$jrotfgfg p`zftfe yj hj gonjtfe aogjr ĺghjîjiĺ$kjsĺ fstogfy`r vo dugug fîfg hovroyo yogf dfr nfrf$ oaiogfy`r (]G). ]G;= fso sjyĺbĺ p`-zftfe aogjrhj, ]G;: fso gonjtfe aogjrhj îjiĺ$jbjatĺr. Rjyĺbĺgĺg du $oafiho îjiĺ$jdfikosf fîfghovroyo ]G nfrf$fgfg gjsĺi oaiogobo#fgf îfzoroa nõstorfgfz. Xùk syĺbĺyĺ yogfhog îfzkogfzonoroa y`atur, sjhobo ho#f$og a ĺskĺ nõstorodfifrsfgfz.
R@T_ 23j) Dfr XXI tfpf i`cfa ajpĺgĺg sjhobo îĺa ĺ$ ajtĺgĺ îfzoroa îjiĺ$kjsĺgĺ jîĺaijyĺgĺz.d) Dfr XXI ajpĺgĺg îĺa ĺ$ĺgj dj#ijgjbja oiokjg sjyĺsĺ gohog sĺgĺriĺhĺr0 !zfg vorfioghog hjlj
ejzij sjyĺhj oiokjg dj#ijgkjsĺ s`gubughj goior `ijbj#ĺgĺ îĺa ĺ$ ajtĺ ùzorfgho jîĺaijyjrja s`-
ruyu bovjpijghĺr ĺgĺz.
8/9/2019 Lojik Tasarım - İTÜ Çözümlü Uygulamalar
http://slidepdf.com/reader/full/lojik-tasarim-itue-coezuemlue-uygulamalar 2/21
BOUJ] :3
j) e :(j,d,b);jdb' + d'b ; jdb' + jd'b + j'd'be 4(j,d,b);d'b' + db ; jd'b' + j'd'b' + jdb + j'dbe 2(j,d,b);j'db' + jd' ; j'db' + jd'b + jd'b'
23< A`h îõzùbù auiijgĺijbjatĺr. A`h îõzùbùgùg îĺa ĺ!ijr ĺ sĺrjsĺyijr !u kfgtorfkioro ajr !ĺ hù!-
koatohfr3 j'd'b', j'd'b, j'db', j'db, jd'b', jd'b, jdb', jdb.Dugj nõro yuajr ĺhjaf e`gasfy`gijr ĺ norîoaio!tfrkoa fîfg noroaif `ijg îĺa ĺ!ijr UOVJ ajpĺijr ĺ fio
dj"ijgjrja hovro îfzfifr.d) Durjhj a`h îõzùbù ljgnf tutubuyj yjzĺijbj"ĺgĺ (yjgf fzfg vorfiobo"fgf), vorf soîfbf fso ljgnftutubugug fîorf"fgfg îĺa ĺ!j jatjr ĺijbj"ĺgĺ doifrior. Dugj nõro hovro j!j"ĺhjaf nfdf îfzfifr3
BOUJ] 43 j) Z4+Z:
+Z=
+ \
Z4Z:Z= = :
=== =:: ==:
==: :== =:=
=:= === =::
=:: ==: :==:== =:= ===
:=: ÜÜÜ ÜÜÜ
::= ÜÜÜ ÜÜÜ
::: ÜÜÜ ÜÜÜ
d)
Z4+
Z=\
Z:+
Z=\
Z=+
Z=\
Z4Z: == =: :: :=== = = = :=: = = : =
:: Ü Ü Ü Ü
:= = = Ü Ü
X4
Z=\
X:
Z=\
X=
Z=\
H
OZ
H
OZ
H
OZ
H
OZ
VR: VR=
@=
@:
@4
@2
F=
F:
F4
F2
438AÎ 83:UR S
@R: @R=
\
Z4Z: == =: :: :=
== : = : =
=: = : = =:: Ü Ü Ü Ü
:= : = Ü Ü
Z4Z: == =: :: :=
== : : = =
=: = : = ::: Ü Ü Ü Ü
:= = = Ü Ü
Z4Z: == =: :: :=
== : = : ==: : = : :
:: Ü Ü Ü Ü := : = Ü Ü
Z4Z: == =: :: :=
== : : : :=: = : : =
:: Ü Ü Ü Ü := = = Ü Ü
Z4Z: == =: :: :=
== = = = :=: = = : =
:: Ü Ü Ü Ü := : : Ü Ü
Rjyĺbĺ K``ro k`hoifgo nõro tjsjrijgĺr.
Îĺa ĺ!ijr3S4;Z4S:;Z:S=;Z=
? ]_JG
#? ]_JG
#? ]_JG
8/9/2019 Lojik Tasarım - İTÜ Çözümlü Uygulamalar
http://slidepdf.com/reader/full/lojik-tasarim-itue-coezuemlue-uygulamalar 3/21
Vuajr ĺhj duiugjg X fejhoiorfgo nõro hovro îfzfifr.b) H eifp-ei`pijr ĺ vo vorf soîfbfior fio tjsjr ĺk yjpjraog Ajrgjunl tjdi`ijr ĺgĺ yogfhog `iu!turkjyjnoroa y`atur, sjhobo huruk tjdi`sugu auiijgkja yotorifhfr. Ùî huruk ho"f!aogf `ihu"ugj nõro<3# vorf soîfbfior auiijgĺiĺr vo vorf soîfbfiorfg soîko uîijr ĺgj huruk ho"f!aogiorf dj"ijgĺr.j) !ĺaa ĺghjaf huruk tjdi`sugug sjtĺrjijr ĺgj dja ĺijrja vorf soîfbfiorfg nfrf!iorfgo noioboa `ijg
ho"orior doifriogfr.
h)
d) !ĺaa ĺ fîfg3 ? huruku Z4Z#Z= ;#=# hurukuhur. Durhjg ljgnf hurukj nfhfiobo"f X ho"oriorf doifriogfraog Ü‖iorfg gjsĺi soîfihf"fgo dj"iĺhĺr. Dugu X fejhoiorfgfg doifrioghf"f tjdi`ijrhjg jg-ijyjdfifrfz yj hj X fejhoiorfgo #=# ho"orfgf a`yjrja losjpijyjdfifrfz. Dugj nõro #=# hurukughj3\;= fîfgX4 ; : hokoa af Z4 ho"or ho"f!tfroboa yjgf Z4+ ; = X: ; = hokoa af Z# ho"or ho"f!tfrkoyoboa yjgf Z:+ ; = ==: hurukugj noîfifr. X= ; = hokoa af Z= ho"or ho"f!tfrkoyoboa yjgf Z=+ ; : \;: fîfgX4 ; : hokoa af Z4 ho"or ho"f!tfroboa yjgf Z4+ ; =
X: ; : hokoa af Z# ho"or ho"f!tfroboa yjgf Z:
+
; : =:: hurukugj noîfifr. X= ; = hokoa af Z= ho"or ho"f!tfrkoyoboa yjgf Z=+ ; : b) !ĺaa ĺ fîfg3 ? huruku Z4Z#Z= ;#=# hurukuhur. Durhjg ljgnf hurukj nfhfiobo"f vorfsoîfbfiorfg ? g`.iu nfrf!iorfgo go dj"ijghĺ"ĺgj dj"iĺhĺr. D`! dĺrja ĺijg nfrf!ior i`cfa # `ijrja ho"or-ioghfrfihf"fghog yuajr ĺhjaf tjsjr ĺkhj lok \;= lok ho \;# fîfg ### hurukughj noîfifr.o) ]G;= `ihu"ughj sjjt f!jrotfgfg aoghfsf, ]G;# `ihu"ughj sjjt f!jrotfgfg tùkioyogfgfg hovroyouynuijgkjsĺ fstogfy`r. Du f!iok og djsft `ijrja dfr VJ HJ dj"ijbĺ fio norîoaiogodfifr.
H
BZ
HZ
HZ
B
B
sjjt
S=
S:
S4
s4s:s=
s4s:s=
s4s:s=
“:‖“=‖
“=‖
D`!
“=‖
D`!
<3:UR
<3:UR
<3:UR
“=‖“=‖“=‖
D`!
\ \‖
]G
Rjjt f!jrotf
Eifp-ei`pijr ĺg sjjtnfrf!iorfgo dj"ijgjbja
#? ]_JG
? ]_JG
#= ]_JG
? ]_JG
8/9/2019 Lojik Tasarım - İTÜ Çözümlü Uygulamalar
http://slidepdf.com/reader/full/lojik-tasarim-itue-coezuemlue-uygulamalar 4/21
BOUJ] 23
j)
Z# fiotfkho, Z4 aosfkhoyaog îĺa ĺ! Ubb‖yo yja ĺg dfr ho"or, yjgf i`cfa # `iur.Z# aosfkho, Z4 fiotfkhoyaog îĺa ĺ! yjaij!ĺa =.4U, yjgf i`cfa = `iur.Lor faf trjgzfst`r hj aosfkhoyso îĺa ĺ! yùasoa okpohjgs hurukughj ̀ iur.
$af trjgzfst`r jygĺ jghj fiotfkho `ijkjz.
d) Dfr i`cfa oiokjgĺg îĺa ĺ!ĺgj î`a sjyĺhj oiokjg dj"ijgkjsĺ hurukughj du oijkgĺg îĺa ĺ!ĺghjg
jajg ja ĺk kfatjr ĺ jrtjr. Du hj oiokjgĺg h`"ru !oafiho îjiĺ!kjsĺgĺ ognoiior.Îĺa ĺ! i`cfa =‖hjyaog Z4 fiotfkhohfr. Hĺ!jrhjg noiog ja ĺk du trjgzfst`r ùzorfghog t`prj"j jajr.Ja ĺkĺg jrtkjsĺ hurukughj Z4‖gfg fî hfrogbf gohogfyio durjhjaf norfifk ho jrtjr U;T*F.Dõyiobo îĺa ĺ! norfifkf i`cfa = ho"orfgf j!kjyj dj!ijr.Îĺa ĺ! i`cfa #‖hoyaog Z# fiotfkhohfr. Îĺa ĺ! ja ĺkĺ du trjgzfst`r ùzorfghog hĺ!jr ĺyj h`"ru jajr.Îoafiog ja ĺkĺg jrtkjsĺ hurukughj Z#‖fg fî hfrogbf vo Tb hfrogbf gohogfyio durjhjaf norfifk hojrtjr. Du norfik Ub hog îĺajr ĺijbj"ĺ fîfg îĺa ĺ!tjaf norfifk jzjiĺr vo i`cfa # ho"orfgfg jitĺgj hù!-koyo dj!ijr.
ĺaĺ
Ubb
Tb
Z:
Z4
#? ]_JG
#? ]_JG
8/9/2019 Lojik Tasarım - İTÜ Çözümlü Uygulamalar
http://slidepdf.com/reader/full/lojik-tasarim-itue-coezuemlue-uygulamalar 5/21
!.X.Ù ">."".4=== Dfinfsjyjr Kùloghfsif#f Dõiùkù Vrh.H`î.Hr. Eozj D_SI_BJ
I@C!A HOUTOIOT ! ". VFI!Î! RFGJUF
JÎFAIJKJIJT3
". Rĺgjv Rùrosf <= hjafajhĺr.4. Nõzotkogioro s`ru s`rkjyĺgĺz.2. A`pyj îoatf#f doifriogogior Ejaùito Hfsfpifg Auruiugj sova ohfioboatfr.
R@T_ "3
j) Vuajr ĺhj vorfiog i`cfa hovroyo fif$afg fejhoyf îjrpĺkijr ĺg t`pijkĺ $oaifgho yjzĺgĺz. Xùkio-
yogiorf nõstorkoa fîfg ho#f$aogiorfg ùstùgo îfznf a`yuguz ( j nfdf).d) Duihu#uguz fejhoyf D``io bodrfgfg jasfy`k vo to`rokiorfgf auiijgjrja djsftio$tfrfgfz.b) Djsftio$tfrfikf$ fejhoyf sjhobo XUO (GJGH) dj#ijîijr ĺ fio norîoaioyfp îfzfgfz. Dj#ijîijr ĺg
nfrf$ sjyĺijr ĺghj dfr sĺgĺrijkj y`atur.
R@T_ 43e(j,d,b,h) ; :(4,2,5,<,::,:2,:?) + Υ(=,8,>,6,:=)
j) Vuajr ĺhj vorfiog e`gafsy`gug tùk tokoi fîorog tjdjgĺgĺ Ajrgjunl hfyjnrjkĺ fio duiuguz.d) J$j#ĺhj vorfiog kjifyot arftorfgf auiijgjrja soîogoaior tjdi`sugu `iu$turup fghfrnoyfgfz.
Vjptĺ#ĺgĺz fghfrnokogfg j$jkjijr ĺgĺ a ĺsjbj jîĺaijyĺgĺz. !ghfrnoko s`gubu oiho ottf#fgfz ’ogubuz‛ e`gasfy`gug fejhosfgf vo t`pijk kjifyotfgf yjzĺgĺz.Kjifyot Arftorf3 Lor dfr ho#f$aog 4 dfrfk, lor tùkioko f$iokf " dfrfk.
b) E`gafsy`gug ’og ubuz‛ fejhosfgf sjhobo 4 nfrf#if XUO dj#ijîijr ĺ auiijgjrja norîoaioyfpîfzfgfz.
j d b h
x
8/9/2019 Lojik Tasarım - İTÜ Çözümlü Uygulamalar
http://slidepdf.com/reader/full/lojik-tasarim-itue-coezuemlue-uygulamalar 6/21
!.X.Ù ">."".4=== Dfinfsjyjr Kùloghfsif#f Dõiùkù Vrh.H`î.Hr. Eozj D_SI_BJ
I@C!A HOUTOIOT ! ". VFI!Î! RFGJUF BOUJ]IJTF
BOUJ] "3
j) x ; jdb‖h‖ + jdb‖h + jdb + j‖db + jbh + jd‖bh + j‖dbh‖
d) !ghfrnoko R`gubu3 (Jrj f$iokior durjhj nõstorfikokf$tfr)x ; jd + db + jbh
b)
j d b h
x
8/9/2019 Lojik Tasarım - İTÜ Çözümlü Uygulamalar
http://slidepdf.com/reader/full/lojik-tasarim-itue-coezuemlue-uygulamalar 7/21
BOUJ] 43
j) Xùk tokoi fîorog tjdjgĺ3j‖h‖, j‖b, d‖b, bh, jh, jd‖, d‖h‖
J D B H O E N
5 ? ? 8 8 ? 5
d)
4 2 5 < "" "2 "? K
J \ \ 5D \ \ \ ?B \ \ \ ?H \ \ \ 8O \ \ \ 8E \ \ ?N \ \ \ 5
4 2 5 < K
J \ \ 5D \ \ \ ?B \ \ ?H \ 8E \ ?N \ \ \ 5
4 2 5 < K
D \ \ \ ?H \ 8E \ ?N \ \ \ 5
Dugj nõro og ubuz yotorif tjdjg3 e ; O+D+E ; jh + j‖b + jd‖
X`pijk Kjifyot ; "8 dfrfk.
b)
∓∓∓∓
O noroaif fîorog `ihu#u fîfg jiĺghĺ.
D, J vo B‖yf õrtor. Kjifyotf J‖hjg jz, B fio o$ft. Dugj õroJ vo B‖yf sfiorfz.H!AAJX3 D, H‖yf ho õrtor, jkj H hjlj ubuz `ihu#u fîfgsfifgkoz.H!AAJX3 N, E‖yf õrtor, jkj E hjlj ubuz `ihu#u fîfgsfifgkoz.
D noroaif fîorog ljifgo noihf vo jiĺghĺ. < g`atjsĺgĺ E hjlj
ubuzj õrttù#ù fîfg E ho jiĺ
ghĺ
j d b h
∓∓∓∓
∓∓∓∓
8/9/2019 Lojik Tasarım - İTÜ Çözümlü Uygulamalar
http://slidepdf.com/reader/full/lojik-tasarim-itue-coezuemlue-uygulamalar 8/21
!.X.Ù 4"."4.4==" Dfinfsjyjr Kùloghfsif#f DõiùkùVrh.H`î.Hr. Eozj D_SI_BJ
I@C!A HOUTOIOT ! 4. VFI!Î! RFGJUF
JÎFAIJKJIJT3
".
Rĺgjv Rùrosf "== hjafajhĺr.4.
Nõzotkogioro s`ru s`rkjyĺgĺz.2. A`pyj îoatf#f doifriogogior Ejaùito Hfsfpifg Auruiugj sova ohfioboatfr.
R@T_ "3
j)
Dfr jhot p`zftfe aogjr totfaiokoif H eifp-ei`pu vo noroaif sjy ĺhj i`cfa dj#ijî auiijgjrja, p`zftfe aogjrtotfaiokoif dfr RT eifp-ei`pu tjsjrijyjrja îfzfgfz.
d)
Jgj-uyhu (kjstor-sijvo) tfpf dfr RT eifp-ei`pu fio, aogjr totfaiokoif dfr RT eifp-ei`pugug îji ĺ$kjsĺ jrjsĺghj go ejra vjrhĺr0 Du ejra ĺ nõstorog dfr zjkjgijkj hfyjnrjkĺgĺ îfzfgfz.
R@T_ 43
j)
Vuajr ĺhj îfzfkf vorfikf$ `ijg sogar`g jrhĺ$ĺi hovroyf îõzùkioyoroa huruk noîf$/îĺa ĺ$ tjdi`sugu vohuruk noîf$ hfyjnrjkĺgĺ îfzfgfz.d)
Jygĺ hovroyf vorf soîfbf auiijgkjhjg, i`cfa ajpĺijr vo H tfpf eifp-ei`pijr fio tjsjrijyĺ p îfzfgfz.
R@T_ 23
Dfr ijkdjyĺ a`gtr`i otkoa ùzoro1 dfr sjjt nfrf$f, faf jhot vorf nfrf$f (\,V) vo dfr jhot îĺa ĺ$ĺ (S) `ijg dfrsogar`g jrhĺ$ĺi hovro tjsjrijgjbjtĺr. Rjjt f$jrotfgfg porfy`hu " sjgfyo `ijg hovroho, \ nfrf$f og jz 4 sjgfyo
d`yugbj '"' `iursj S ; " `ijbja vo ijkdj yjgjbjatĺr. Ijkdjgĺg yjgkjhĺ#ĺ hurukijrhj (S ; =) V nfrf$fg-hog noiog ho#oriorfg dfr otafsf y`atur. Ijkdj yjgĺy`raog p`zftfe dfr sjjt aogjr ĺghj V;" `iursj ijkdjsõgor vo ijkdjgĺg toarjr yjgkjsĺ fîfg \ nfrf$fgfg og jz 4 sjgfyo d`yugbj '"' `ikjsĺ doaiogfr. Ijkdjgĺgyjghĺ#ĺ hurukijrhj \ nfrf$fghog noiog ho#oriorfg dfr otafsf y`atur.Hfaajt3 \ nfrf$fgfg og jz 4 sjgfyo d`yugbj '"' `ikjsĺ fîfg, sjjt f$jrotfgfg 2 aogjr ĺghj \ ;" `ikjiĺhĺr. Hov-rogfg zjkjgijkj hfyjnrjkĺ j$j#ĺhj nõstorfikf$tfr3
j) Hovrogfg huruk noîf$ hfyjnrjkĺgĺ îfzfgfz, huruk/îĺa ĺ$ tjdi`sugu `iu$turuguz.d)
Hovroyf X eifp-ei`pijr ĺ vo noroaif sjyĺhj i`cfa dj#ijî auiijgjrja tjsjrijyĺ p îfzfgfz.
H ZBIA
H ZBIA
Z: H:
H= Z=
Rjjt
s: s=
F=
F: F4 F2
83:
URS
Z:'
Z=' J D
RJJX
\
V
S
8/9/2019 Lojik Tasarım - İTÜ Çözümlü Uygulamalar
http://slidepdf.com/reader/full/lojik-tasarim-itue-coezuemlue-uygulamalar 9/21
!.X.Ù 4"."4.4==" Dfinfsjyjr Kùloghfsif#f DõiùkùVrh.H`î. Hr. Eozj D_SI_BJ
I@C!A HOUTOIOT ! 4. VFI!Î! RFGJUF BOUJ]IJTF
BOUJ] "3j)
RT Eifp-ei`p3 Z(t+:); R + Z(t)T', RT;= H Eifp-ei`p3 Z(t+:); H
Dugj nõro H tfpf eifp-ei`pug nfrf$fgo R + Z(t)T' fejhosf uynuijgjbjatĺr.
d) Jgj-uyhu (kjstor-sijvo) tfpf eifp-ei`pijrhj, sjjt f$jrotf '"'ho `ihu#u sùrobo nfrf$o noiog ho#orior, îĺa ĺ$ĺ doifriokoa ùzoro ho#orioghfrfifr. Doifriogog ho#or sjjt f$jrotfgfg fgog aogjr ĺghj ajyĺt ohfifr vo îĺa ĺ$jyjgsĺtĺiĺr.Aogjr totfaiokoif eifp-ei`pijrhj nfrf$ior sjhobo sjjt f$jrotfgfg otafg aogjr ĺghj ho#orioghfrfifr vo îĺa ĺ$jyjgsĺtĺiĺr.
Vuajr ĺhjaf hfyjnrjkhj sjjt f$jrotf "'hoyaog R;" T;= `iuy`r. Jgj-uyhu eifp-ei`p du nfrf$fho#orioghfrfy`r vo fîorf#fgf " yjpkjyj ljzĺrijgĺy`r. Hjlj s`grj yfgo sjjt f$jrotf "'hoyaog R;= T;=`iuy`r. Du nfrf$ fîorfa ho#f$koyoboa (yjgf jgj-uyhu ee "'ho ajijbja) hokoatfr. Rjjt f$jrotfgfg fgogaogjr ĺghj fso ljzĺrijgjg ho#or (yjgf ") jgj uyhu eifp-ei`pug îĺa ĺ$ĺgj yjgsĺy`r. Ajr $ĺij$tĺrkjyj jihĺ#ĺkĺzgonjtfe aogjr totfaiokoif eifp-ei`p fso sjhobo fgog aogjrhjaf nfrf$iorf ho#orioghfrfy`r. Durjhj R;=,T;=`ihu#ugj nõro efip-ei`pug fîorf#f ho#f$kfy`r vo ='hj ajiĺy`r.
BOUJ] 43
j) H tfpf ee'ijrhj Z+;H `ihu#ugj nõro Z=
+ vo Z:
+ doifriokoa fîfg H= vo H: doifriogkoif.Hovrohog H= ; J
⋏D vo îĺa ĺ$ĺg S ; J
⋏D
⋏Z:' + Z='`ihu#u nõrùiùy`r.
Uorf soîfbf fso hovrogfg lor huruku fîfg vorf nfrf$iorfghog dfrfgf îĺa ĺ$ĺgj jatjrjbjatĺr. Dugj nõro3Z: Z= H:
== J⋏D
=: (J⋏D)':= J+D:: D'
H ZBIA
R
T
Z
Z'
Rjjt
Rjjt
R
T
Z (J-_)
Z (AX)
Z: Z= == =: := ::
== ==,: ==,: ==,: ::,:
=: :=,= :=,= :=,= =:,:
:= ==,: :=,: :=,: ::,:
:: :=,= ==,= :=,= =:,=
Z+Z
+S
J D Xjdi`yu `iu$turkja fîfgvorf soîfbfgfg fejhosfgfyjzkjyj noroa y`atur.Vjghjaf tjdi` Ajrgjunlhfyjnrjkĺ ho#fihfr.
8/9/2019 Lojik Tasarım - İTÜ Çözümlü Uygulamalar
http://slidepdf.com/reader/full/lojik-tasarim-itue-coezuemlue-uygulamalar 10/21
b) Vuajr ĺhj duiugjg tjdi` Ajrgjunl hfyjnrjkĺ ljifgonotfrfifp Z:
+ fîfg yogfhog yjzĺiĺr3
H: ; D'⋏
Z= + J'⋏
Z:'⋏
Z= + J⋏
D⋏
Z=' + D⋏
Z:⋏
Z=' + J⋏
Z:⋏
Z='Rjhobo H" nfrf$fgo noiog hovro ho#f$oboatfr. Vuajr ĺhjaf fejhoyo nõro hovro îfzfifr.
R@T_ 23
Sjkjgijkj hfyjnrjkĺghjg hj nõrùihù#ù nfdf nfrf$iorfg îĺa ĺ$ ùzorfghoaf otafsf sjjt f$jrotfghog s`grjnorîoaio$koatohfr. Du gohogio hovro K``ro k`hoifgo nõro tjsjrijgjbjatĺr.
(Nfrf!ior \V !oaifgho nõstorfikf!tfr.)
X:; \⋏Z"'⋏Z= + \'⋏Z"⋏Z= + V⋏Z"⋏Z=' X=; \⋏Z"'⋏Z=' + \'⋏Z= + ⋏Z"⋏Z= S; Z"⋏Z='
Vuajr ĺhjaf fejhoioro nõro hovro îfzfifr.
R == =: := ::
H: H:,: H:,: H:,: H8,:
H4 H2,= H2,= H2,= H4,:
H2 H:,: H2,: H2,: H8,:
H8 H2,= H:,= H2,= H4,=
R+
S J D
H"
H4
H2
H8
==,:
=:,:
:=,:
::,:
::,:::,:
==,=
=:,=
:=,=
=:,:
:=,:
==,:
::,:
==,=
:=,=
::,=
=:,=
Z: Z= == =: :: :=
== = = : =
=: : : = :
:: : = = :
:= = : : :
Z:+
J D
J,=
D,=
B,=
H,"
==
=:
==
=:
:=
::
:=
::
==
=:
:=
::==
:=
=:
::
Dj!ijgnĺî
Huruku R == =: :: := S
J J J D D =
D J J B B =
B J J H H =H H J J H :
R+
\V
Z: Z= == =: :: := S
== == == =: =: =
=: == == :: :: =
:: == == := := =
:= := == == := :
Z:+ Z=
+ \V
Z: Z
= == =: :: :=
== = = = =
=: = = : :
:: : : = =
:= = : : =
X: \V
Z: Z= == =: :: :=== = = : :
=: : : = =
:: : : : :
:= = = = =
X= \V
8/9/2019 Lojik Tasarım - İTÜ Çözümlü Uygulamalar
http://slidepdf.com/reader/full/lojik-tasarim-itue-coezuemlue-uygulamalar 11/21
Ľ.X.Ù =6.=:.4==2Dfinfsjyjr KùloghfsifĐf DõiùkùVrh.H`î.Hr. Eozj D_SI_BJ
I@CĽA HOUTOIOT Ľ HÕGOK R@G_ RFGJUFJÎFAIJKJIJT3:. Rĺgjv Rùrosf :=? hjafajhĺr.4. Nõzotkogioro s`ru s`rkjyĺgĺz.
2. Xùkioyogiorf nõstorkoa fîfg hoĐfŐaogiorfg ùstùgo îfznf a`yuguz ( j nfdf).
R@T_ :3j) JŐjĐĺhj vorfiog i`cfa e`gasfy`gug dfrfgbf ajg`gfa jîĺiĺkĺgĺ (îjrpĺkijr ĺg t`pijkĺ) yjzĺgĺz.
DuihuĐuguz fejhoyf D``io bodrfgfg jasfy`k vo to`rokiorfgf auiijgjrja sjhoioŐtfrfgfz.e(j,d,b,h) ; :(=,:,2,8,?,:2)
d) JŐjĐĺhj vorfiog 2 nfrfŐif, faf îĺa ĺŐiĺ e`gasfy`gu sjhobo uynug d`yuttj dfr jhot a`h îõzùbù vonoroaif i`cfa djĐijîijr auiijgjrja tjsjrijyĺ p îfzfgfz.
e :(j,d,b) ; jb' + dbe 4(j,d,b) ; (j'+d)(d'+b)(j+b)
R@T_ 43j) JŐjĐĺhj vorfiog e`gasfy`gug tùk tokoi fîorog tjdjgĺgĺ Zufgo-KbBiusaoy yõgtokf fio duiu-guz. e(j,d,b,h) ; :(?, >, :=, ::, :4, :8, :?) + Υ(2, 8, <)
d) JŐjĐĺhj vorfiog kjifyot arftorfgf auiijgjrja soîogoaior tjdi`sugu `iuŐturup fghfrnoyfgfz. Vjp-tĺĐĺgĺz fghfrnokogfg jŐjkjijr ĺgĺ a ĺsjbj jîĺaijyĺgĺz. Ľghfrnoko s`gubu oiho ottfĐfgfz ’og ubuz‛
e`gasfy`gug fejhosfgf vo t`pijk kjifyotfgf yjzĺgĺz.Kjifyot Arftorf3 Lor dfr hoĐfŐaog 4 dfrfk, lor tùkioko fŐiokf : dfrfk.b) E`gasfy`gug ’og ubuz‛ fejhosfgf sjhobo 4 nfrfŐif XUO djĐijîijr ĺ auiijgjrja norîoaioyfp îfzf-gfz.
R@T_ 23Dfr sjjt nfrfŐf, faf jhot vorf nfrfŐf (\,V) vo dfr jhot îĺa ĺŐĺ (S) `ijg jrhĺŐĺi dfr sogar`g hovro tjsjr-ijgjbjatĺr. \ nfrfŐf dfrdfrfgf fzioyog og jz 4 p`zftfe sjjt aogjr ĺghj i`cfa : `ihuatjg s`grj, S;: `iur. Îĺa ĺŐĺg toarjr sĺe ĺr `ikjsĺ fîfg V nfrfŐf dfrdfrfgf fzioyog og jz 4 p`zftfe sjjt aogjr ĺghj i`cfa :`ikjiĺhĺr. Îĺa ĺŐtj '=' vjraog (S;=) V nfrfŐfghog noiog hoĐorior îĺa ĺŐĺ otafiokoz. Dogzor Őoafihoîĺa ĺŐtj ':' vjraog (S;:) \ nfrfŐfghog noiog hoĐorior îĺa ĺŐĺ otafiokoz. Hovrogfg zjkjgijkj hfyjn-
rjkĺ jŐjĐĺhj nõstorfikfŐtfr3
j) Hovrogfg huruk noîfŐ hfyjnrjkĺgĺ îfzfgfz, huruk/îĺa ĺŐ tjdi`sugu `iuŐturuguz.
d)
Hovroyf X eifp-ei`pijr ĺ vo noroaif sjyĺhj i`cfa djĐijî auiijgjrja tjsjrijyĺ p îfzfgfz.
RJJX
\
V
S
8/9/2019 Lojik Tasarım - İTÜ Çözümlü Uygulamalar
http://slidepdf.com/reader/full/lojik-tasarim-itue-coezuemlue-uygulamalar 12/21
Ľ.X.Ù =6.=:.4==2Dfinfsjyjr KùloghfsifĐf DõiùkùVrh.H`î.Hr. Eozj D_SI_BJ
I@CĽA HOUTOIOT Ľ HÕGOK R@G_ RFGJUF ÎÕSÙKIOT Ľ
BOUJ] :3j) Dfrfgbf ajg`gfa jîĺiĺk3
e(j,d,b,h) ; j'd'b'h' + j'd'b'h + j'd'bh + j'db'h' + j'db'h + jdb'hA`gsjgsùsior auiijgĺijrja fghfrnoko yjpĺijdfifr. Ľghfrnoko s`gubu3
e(j,d,b,h) ; j'b' + db'h + j'd'hd) Dfr jhot 23< a`h îõzùbù vo UOVJ djĐijîijr ĺ auiijgĺijbjatĺr. Xjsjr ĺk fîfg fejhoiorfg :.ajg`gfa jîĺiĺkijr ĺgĺ yjzkja (yj hj õrttùaiorf h`Đru g`atjijr ĺ duikja) noroafr.
e :(j,d,b) ; jdb' + jd'b' + jdb + j'db (5, 8, >, 2 gukjrjijr)e 4(j,d,b) ; (j'+d)(d'+b)(j+b) (îjrpĺk yjpĺiĺp sjhoioŐtfrfifr)
; j'b + db; j'db + j'd'b + jdb (ajg`gfa jîĺiĺk) 2, :, > gukjrjijr
Jrj djĐijgtĺijr uynug Őoafiho yjpĺiĺr.
BOUJ] 434) e(j,d,b,h); (?,>,:=,::,:4,:8,:?) + υ(2,8,<)
A.G` j d b h8 = : = =< : = = =
2 = = : :? = : = ::= : = : =:4 : : = =
> = : : ::: : = : ::8 : : : =:? : : : :
A.G` j d b h8,? = : = -8,:4 - : = =<,:= : = - =<,:4 : - = =2,> = - : :2,:: - = : :?,> = : - ::=,:: : = : -
:=,:8 : - : =:4,:8 : : - =>,:? - : : :::,:? : - : ::8,:? : : : -A.G` j d b h
2,>,::,:? - - : :<,:=,:4,:8 : - - =:=,::,:8,:? : - : -
23< AÎ
@=@:
@4
@2
@8
@?
@5
@>s4 s: s=
j d b
@2
@8
@5
@>
e :
@:
@2
@>
e 4
ĽŐjrotsfz (d`yjgkjkĺŐ) `ijg a`kdfgoz`gijr tokoifîorogioro ajr Őĺ hùŐorior.
8/9/2019 Lojik Tasarım - İTÜ Çözümlü Uygulamalar
http://slidepdf.com/reader/full/lojik-tasarim-itue-coezuemlue-uygulamalar 13/21
Xùk tokoi fîorogior 3 j‖db‖ , db‖h‖ , j‖dh , bh , jh‖ , jb Kjifyot 3 (<) (<) (>) (8) (?) (8)Õrtùiogior ? :4 ?,> >,::,:? :=,:4,:8 :=,::,:8,:?
:. tjdi`
? > := :: :4 :8 :? Kjifyotj‖db‖ \ <
db‖h‖ \ <j‖dh \ \ >jb \ \ \ \ 8jh‖ \ \ \ ?bh \ \ \ 8
j‖dh, j‖db‖ dfioŐogfgf õrtor.jh‖, db‖h‖ dfioŐogfgf õrtor.
4. tjdi`
? > := :: :4 :8 :? Kjifyotj‖dh \ \ >jb \ \ \ \ 8jh‖ \ \ \ ?bh \ \ \ 8
DjŐiĺbj G`atjijr 3 (?) , (:4) Ľinfif sjtĺr vo a`i`gijr sfifgfr.Roîfiog DfioŐogior 3 j‖dh , jh‖
2. tjdi`
:: :? Kjifyotjb \ \ 8bh \ \ 8
DfioŐogiorfg kjifyotiorf oŐft `ihuĐughjg ’og ubuz‛ e`gasfy`g fejhosf
f) e; j‖dh + jh‖ + jb (Kjifyot ; :5 dfrfk)
voyj
ff) e; j‖dh + jh‖ + bh (Kjifyot ; :5 dfrfk) `iur.
8/9/2019 Lojik Tasarım - İTÜ Çözümlü Uygulamalar
http://slidepdf.com/reader/full/lojik-tasarim-itue-coezuemlue-uygulamalar 14/21
BOUJ] 23NfrfŐiorfg îĺa ĺŐ ùzorfghoaf otafsf sjjt fŐjrotfghog s`grj norîoaioŐkoatohfr. Du gohogio hovroK``ro k`hoifgo nõro tjsjrijgjbjatĺr.
(NfrfŐior \V Őoaifgho nõstorfikfŐtfr.)
X:; \⋏Z:'⋏Z= + V⋏Z:⋏Z=' X=; \⋏Z:'⋏Z=' + \'⋏Z:'⋏Z= + V⋏Z:⋏Z='+ V'⋏Z:⋏Z='S; Z:
Vuajr ĺhjaf fejhoioro nõro hovro îfzfifr.
J,=
D,=
B,:
H,:
==
=:
==
=:
:=
::
:=
::
==
:=
=:
::
==
:=
=:
::
DjŐijgnĺ
îHurukuR == =: :: := S
J J J D D =
D J J B B =
B B H H B :
H B J J B :
R+
\V
Z: Z= == =: :: := S
== == == =: =: =
=: == == :: :: =
:: :: := := :: =:= :: == == :: :
Z:+ Z=
+ \V
Z: Z= == =: :: :=
== = = : :
=: : : = =
:: = : : =
:= : = = :
Z: Z= == =: :: :=
== = = = =
=: = = : :
:: = = = =
:= = : : =
X: \V
X= \V
X ZZ=
Z'=
X=
BIA
X ZZ:
Z':
X:
BIA
Eifp-ei`pRùrko
Hovrosf
E S
Rjjt
\
V
8/9/2019 Lojik Tasarım - İTÜ Çözümlü Uygulamalar
http://slidepdf.com/reader/full/lojik-tasarim-itue-coezuemlue-uygulamalar 15/21
8 Ľ.X.Ù =:.::.4==4Dfinfsjyjr KùloghfsifĐf DõiùkùVrh.H`î.Hr. Eozj D_SI_BJ
I@CĽA HOUTOIOT Ľ :. VFIĽÎĽ RFGJUF
JÎFAIJKJIJT3
:. Rĺgjv Rùrosf 6= hjafajhĺr.4. Nõzotkogioro s`ru s`rkjyĺgĺz.2. A`pyj îoatfĐf doifriogogior Ejaùito Hfsfpifg Auruiugj sova ohfioboatfr.
8. Xùkioyogiorf nõstorkoa fîfg hoĐfŐaogiorfg ùstùgo îfznf a`yuguz ( j nfdf).
R@T_IJT3
:) j. JŐjĐĺhj nõstorfiog to`rokfg ("Dfe`rk ajroior a`gsjgsùsiorfgf yutjr") h`Đru `ihuĐugu,D``io bodrfgfg jasfy`k vo to`rokiorfghog yjrjrijgjrja ajgĺtijyĺgĺz. Ajgĺt, h`Đruiua tjdi`suyj hj Ajrgjunl hfyjnrjkĺ auiijgĺikjhjg, bodfrsoi `ijrja yjpĺijbjatĺr.
jd + j'b + db ; jd + j'b
d. Vuajr ĺhjaf to`rfkfg hujifgf yjzĺ p jygĺ Őoafiho h`Đru `ihuĐugu nõstorfgfz.
4) JŐjĐĺhj vorfiog i`cfa e`gasfy`gug dfrfgbf ajg`gfa jîĺiĺkĺgĺ (kfgtorfkiorfg t`pijkĺ) yjzĺgĺz.DuihuĐuguz fejhoyf bodfrsoi `ijrja djsftioŐtfrfgfz vo sjhobo 4 nfrfŐif XUO djĐijîijr ĺ auiijgjrja tjsjrijyĺ p îfzfgfz.
e(j,d,b,h) ; (j+d') ¾ (d+h) ¾ (j'+b)
2) JŐjĐĺhj vorfiog i`cfa e`gasfy`gug tùkioyogfgf Ho K`rnjg to`rokfgf auiijgjrja duiuguz.DuihuĐuguz fejhogfg h`Đru `ihuĐugu, D``io bodrfgfg jasfy`k vo to`rokiorfghog yjrjrijgj-rja bodfrsoi `ijrja nõstorfgfz. Ľejhogfg h`ĐruiuĐugu nõstorfraog toarjr Ho K`rnjg to`rokfgfauiijgjkjzsĺgĺz.
e(j,d,b,h) ; jh' + db' + j'd'
8) j. JŐjĐĺhj vorfiog e`gasfy`gug tùk tokoi fîorog tjdjgĺgĺ Ajrgjunl hfyjnrjkĺghjgyjrjrijgjrja duiuguz.
e(j,d,b,h) ; :(=,2,8,>,<,:=,::,:4,:8,:?)
d. JŐjĐĺhj vorfiog kjifyot arftorfgf auiijgjrja soîogoaior tjdi`sugu `iuŐturup fghfrnoyfgfz.VjptĺĐĺgĺz fghfrnokogfg jŐjkjijr ĺgĺ a ĺsjbj jîĺaijyĺgĺz. Ľghfrnoko s`gubu oiho ottfĐfgfz ’ogubuz‛ e`gasfy`gug fejhosfgf vo t`pijk kjifyotfgf yjzĺgĺz.Kjifyot Arftorf3 Lor dfr hoĐfŐaog 4 dfrfk, lor tùkioko fŐiokf : dfrfk.b. E`gasfy`gug ’og ubuz‛ fejhosfgf sjhobo 4 nfrfŐif XUO djĐijîijr ĺ auiijgjrja norîoaioyfpîfzfgfz.
8/9/2019 Lojik Tasarım - İTÜ Çözümlü Uygulamalar
http://slidepdf.com/reader/full/lojik-tasarim-itue-coezuemlue-uygulamalar 16/21
8 Ľ.X.Ù =:.::.4==4Dfinfsjyjr KùloghfsifĐf DõiùkùVrh.H`î.Hr. Eozj D_SI_BJ
I@CĽA HOUTOIOT Ľ :. VFIĽÎĽ RFGJUF ÎÕSÙKIOT Ľ
:) j) jd + j‖b + db ;(0) jd + j‖bjd + j‖b + db ; jd + j‖b + db(j+j‖)
; jd + j‖b + dbj + dbj‖; j(d+db) + j‖(b+db); jd + j‖b
d) (j+d)(j‖+b)(d+b) ; (0) (j+d)(j‖+b) H_JI(j+d)(j‖+b)((d+b)+j⋏j‖) ; (j+d)(j‖+b)(d+b+j)(d+b+j‖)
; ( j + d⋏(d+b) )( j‖ + b⋏(d+b) )
; (j+d)(j‖+b)
4) H`Đruiua tjdi`su auiijgjrja, Ajrgjunl hfyjnrjkĺ yjrhĺkĺyij yj hj bodfrsoi `ijrja duiugjdfifr.Ljtĺrijtkj3 :. ajg`gfa jîĺiĺk kfgtorfkiorfg t`pijkijr ĺghjg `iuŐur. Lor kfgtorfk sjhobo dfrh`Đru g`atjyj (a`kdfgoz`g) ajr Őĺ noifr vo kfgtorfkiorho tùk hoĐfŐaogior duiugur.
Ajrgjunl Hfyjnrjkĺ yjrhĺkĺyij3
j‖d‖b‖h + j‖d‖bh + jd‖bh + jdbh‖ + jdbh: 2 :: :8 :?
:. Ajg`gfa jîĺiĺk
Jygĺ fejhogfg bodfrsoi `ijrja duiugkjsĺ3 Õgbo îjrpĺk yjpĺiĺr, jrhĺghjg lor k`g`khjaf oasfahoĐfŐaogf tjkjkijkja fîfg fejhoyo D``i bodrfgo uynug oaiokoior yjpĺiĺr.ÕrgoĐfg jdb k`g`kughj h hoĐfŐaogf oasfatfr. Du gohogio jdb yorfgo `gj oŐft `ijg jdbh + jdbh' yjzĺiĺr.
e; (j+d‖)(j‖d+db+j‖h+bh) ; jdb+ jbh + j‖d‖h + d‖bhe; jdbh + jdbh‖ + jd‖bh + j‖d‖bh + j‖d‖b‖h :. Ajg`gfa jîĺiĺk
RjhoioŐko s`gubu 3
e; j‖d‖h + jdb + jbh (:)e; j‖d‖h + jdb + d‖bh (4)
jd
bh
== =: :: :=
==
=:
::
:=
:8
2
:?
::
:
8/9/2019 Lojik Tasarım - İTÜ Çözümlü Uygulamalar
http://slidepdf.com/reader/full/lojik-tasarim-itue-coezuemlue-uygulamalar 17/21
8/9/2019 Lojik Tasarım - İTÜ Çözümlü Uygulamalar
http://slidepdf.com/reader/full/lojik-tasarim-itue-coezuemlue-uygulamalar 18/21
8) j) Xùk tokoi fîorog tjdjgĺ3Ľejhoior 3 bh, b‖h‖, jb, jh‖Rfknoior3 J D B H
Kjifyotior3 8 5 8 ?
d)
= 2 8 > < := :: :4 :8 :? KJ \ \ \ \ 8D \ \ \ \ 5B \ \ \ \ 8H \ \ \ \ ?
:= :8 KB \ \ 8H \ \ ?
Dugj nõro og ubuz yotorif tjdjg3 e ; J+D+B ; bh + b‖h‖ + jb
X`pijk Kjifyot ; :8 dfrfk.
b)
J vo D noroaif tokoi fîorogiorhfr.B H‖yf õrtor vo kjifyotf hjlj hùŐùatùr. Du hurukhj Hsifgfr.
j d b h
e
8/9/2019 Lojik Tasarım - İTÜ Çözümlü Uygulamalar
http://slidepdf.com/reader/full/lojik-tasarim-itue-coezuemlue-uygulamalar 19/21
Ľ.X.Ù :2.:4.4==4Dfinfsjyjr KùloghfsifĐf DõiùkùVrh.H`î.Hr. Eozj D_SI_BJ
I@CĽA HOUTOIOT Ľ 4. VFIĽÎĽ RFGJUF
JÎFAIJKJIJT3
:. Rĺgjv Rùrosf :== hjafajhĺr.4. Nõzotkogioro s`ru s`rkjyĺgĺz.2.
A`pyj îoatfĐf doifriogogior Ejaùito Hfsfpifg Auruiugj sova ohfioboatfr.
R@T_ :3
Vjghj di`a hfyjnrjkĺ nõstorfiog, 2 jhot vorf nfrfŐf (j,d,b), dfr jhot soîko nfrfŐf (s)`ijg dfr i`cfa hovro tjsjrijgjbjatĺr. Hovrogfg s nfrfŐfgo i`cfa = uynuijgĺrsj z îĺa ĺŐĺghje(j,d,b) i`cfa e`gasfy`gugug hoĐorf, s nfrfŐfgo i`cfa : uynuijgĺrsj jygĺ e e`gasfy`gugtùkioyogf (e') oiho ohfikoatohfr.
s;= vorfifrso z ; e(j,d,b) ; j'd +db + d'b'
s;: vorfifrso z ; e'(j,d,b)Xjrfe ohfiog hovroyf, og ejzij faf jhot tùkioko ajpĺsĺ vo og dùyùĐù 83: `ijg noroaif sjyĺhj vorf soîfbfiorauiijgjrja tjsjrijyĺ p îfzfgfz. Dugijr ĺg hĺŐĺghj lorljgnf dfr i`cfa djĐijî auiijgĺikjyjbjatĺr.
R@T_ 43
j) Lok Z lok ho Z' îĺa ĺŐĺ `ijg dfr jhot p`zftfe aogjr totfaiokoif H eifp-ei`pu vo sjhobo dfr jhot uynug d`yuttj vorf soîfbf auiijgjrja, p`zftfe aogjr totfaiokoif dfr CA "eifp-ei`p"u tjsjrijyjrja îfzfgfz.
d) Vjghjaf Őoafiho nõstorfihfĐf nfdf dfr X eifp-ei`pugug nfrfŐfgo dfr VJ HJ (O\@T) djĐijbĺ djĐijgjrja dfr \ "eifp-ei`p"uoiho ohfikfŐtfr. Du \ "eifp-ei`p"ugug fŐiov tjdi`sugu (\ nfrf-Őfgo nõro "eifp-ei`p" fîorfĐfgfg hoĐfŐfkf) îfzoroa îjiĺŐkjsĺgĺ
jîĺaijyĺgĺz. \ "eifp-ei`p"ugug zjkjg hfyjnrjkĺgĺ îfzfgfz.
R@T_ 23
Vuajr ĺhj îfzfkf vorfikfŐ `ijg sogar`g jrhĺŐĺi hovroyf îõzùkioyoroa huruk noîfŐ/îĺa ĺŐ tjdi`sugu vo hu-ruk noîfŐ hfyjnrjkĺgĺ îfzfgfz.
CZ
BIA
X ZBIA
Z=
Z:
Rjjt
SZ='
Z:'
J D
A
s e / e'
z
j d b
X\Z
8/9/2019 Lojik Tasarım - İTÜ Çözümlü Uygulamalar
http://slidepdf.com/reader/full/lojik-tasarim-itue-coezuemlue-uygulamalar 20/21
Ľ.X.Ù :2.:4.4==4Dfinfsjyjr KùloghfsifĐf DõiùkùVrh.H`î. Hr. Eozj D_SI_BJ
I@CĽA HOUTOIOT Ľ 4. VFIĽÎĽ RFGJUF BOUJ]IJTF
BOUJ] 43
R;= fso z ; e(j,d,b) ; j‖d + db + d‖b‖R;: fso z ; e ‖(j,d,b)
j d b e(R;=)
= = = :
= = : =
= : = :
= : : :
: = = :
: = : =
: : = =: : : :
Hovro
83:
K_\
:
b b'
j d
43:
K_\
s
e
e '
BOUJ] 43
j) CA Eifp-ei`p fŐiov tjdi`su3C A Z(t+:)= = Z(t)= : =: = :: : Z(t)'
d) X tfpf eifp-ei`p3 Z(t+:) ; X⊟ Z(t)Uorfiog eifp-ei`p3 X ; \ ⊟ Z(t) ↔ Z(t+:) ; ( \ ⊟ Z(t) ) ⊟ Z(t)
Z(t+:) ; \ H tfpf eifp-ei`p nfdf hjvrjgĺr.ĽŐiov tjdi`su3\ Z(t+:) = = (sjjt fŐjrotfgfg îĺajg aogjrijr ĺghj): : (sjjt fŐjrotfgfg îĺajg aogjrijr ĺghj)υ Z(t) (sjjt fŐjrotfgfg hfĐor hurukijr ĺghj)
HZ
BIA
Z
Z'
Rjjt
Z
F=F:F4F2 s: s=
C A
':'
'=' 83:UR
b'
:
b'
b
F=F:
F4
F2 s: s= s=
F=
F:
z
8/9/2019 Lojik Tasarım - İTÜ Çözümlü Uygulamalar
http://slidepdf.com/reader/full/lojik-tasarim-itue-coezuemlue-uygulamalar 21/21
BOUJ] 23
C;(J¾D)' + Z= Z=+ ; C¾Z=' + A'⋏Z=
A;(J¾D)' + Z: Z=+ ; ((J¾D)' + Z= )⋏Z=' + ((J¾D)' + Z:)'⋏Z=
Z=+ ; J'¾Z=' + D'¾Z=' + J¾D¾Z=¾Z:'
X; (J+D)¾Z:' Z:+ ; X ⊟ Z
Z:+ ; J + D + Z:
Rjjt
\
X
Z
R == =: := ::
H: H4,: H8,: H8,: H2,:H4 H:,: H2,: H2,: H8,:
H2 H8,: H8,: H8,: H2,=
H8 H2,= H2,= H2,= H2,=
R+,S J D
Z: Z= == =: := ::
== =:,: ::,: ::,: :=,:=: ==,: :=,: :=,: ::,:
:= ::,: ::,: ::,: :=,=
:: :=,= :=,= :=,= :=,=
Z:+Z=
+,S J D
H:
H4
H2
H8
==,:=:,:
:=,:
::,:::,:
=:,:
:=,:
::,=
::,:
==,:
=:,:
:=,:==,=
=:,=
:=,=
::,=
::,:
==,:Huruk-noîfŐ hfyjnrjkĺghjnfrfŐior vo îĺa ĺŐ JD,S ŐoaifghonõstorfkfŐtfr.