
Combinational Logic Design | 4.45
f(w, x, y, z) = Σm
(1, 3, 4, 6, 9, 11, 12, 14)
= xz + xz
= x ⊕ z
1
1
1
1
1
1
1
1
wx
yz
0 1
00
0
00
01
z
z
f(w, x, y, z)
11 10
3
01
11
x
x
10
15 14
101198
12 13
2
45
1
1
1
1
1
1
1
1
wx
yz
01
00
00
01
f(w, x, y, z)
11 10
3
01
11
x
10
15 14
101198
12 13
2
45
z
z
f(w, x, y, z) = Σm(0, 2, 5, 7, 8, 10, 13, 15)
= xz + xz
= x ⊕ z = x z
1
1 1
1
1
1
1
1
wx
yz
0 1
00
00
01
f(w, x, y, z)
11 10
3
01
11
10
15 14
101198
12 13
2
45
f(w, x, y, z) = Σm(0, 1, 2, 3, 8, 9, 10, 11)
= x
x
f(w, x, y, z) = Σ
m(4, 5, 6, 7, 12, 13, 14, 15)
= x
1
1
1
1
1
1
1
1
wx
yz
01
00
00
01
(w, x, y, z)
11 10
3
01
11