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Karnaugh map K-map
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Gate Level Minimization
Nugroho Adi P, S.Si, M.Sc [email protected], [email protected]
http://aravir-rose.blogspot.com
untuk mendapatkan jumlah gerbang yang optimal
Map Method
lebih tersturktur dari metode aljabar
Karnaugh Map
K-map
Karnaugh Map
Karnaugh Map
Karnaugh Map
m1 +m2 +m3 =x’y+xy’+xy
=x+y
xy
x+y
K-map 3 variabel
K-map 3 variabel
m5+m7
m5 +m7 =xy’z+xyz =xz(y’+y)
=xz
F(x,y,z) = (2,3,4,5)
F(x,y,z) = (2, 3, 4, 5)
F = x’y + xy’
m0 dan m2
m0 +m2 =x’y’z’+x’yz’ =x’z’(y’+y)
=x’z’
m4 dan m6
m4 + m6 = xy’z’ + xyz’ = xz’+(y’ + y)
=xz’
F (x, y, z) = (3, 4, 6, 7)
F(x,y,z) = ( 3, 4, 6, 7)
F = yz + xz’
m0 +m2 +m4 +m6 F(x,y,z) = ∑(0,2,4,5,6)
F = A’C + A’B + AB’C + BC !
!
K-map 4 variabel
K-map 4 variabel
F(w,x,y,z) = ∑(0,1,2,4,5,6,8,9,12,13,14)
F(w,x,y,z) = ∑(0,1,2,4,5,6,8,9,12,13,14)
F = y’ + w’z’ + xz’
F = A’B’C’ + B’CD’ + A’BCD’ + AB’C’
F = A’B’C’ + B’CD’ + A’BCD’ + AB’C’
F = B’D’ + B’C’ + A’CD’
