Question

discrete math, please use the K-map to find the simpler circuit with the same output

c) - w ing Fral(x + ) + y+ L+7 十三 4-4-4 74LT (ax+3)+(y+z)

Answer 1

Given ,

Output = Tyz (:1 + 7) + (y + 2)

Output = īyz|(1+z)+(+ ) = qyz|(2+y+z) = zīyz + xyyz + xyzz

Output = 0 (TT= yy= zā=0)

Truth Table:

x	y	z	Output
0	0	0	0
0	0	1	0
0	1	0	0
0	1	1	0
1	0	0	0
1	0	1	0
1	1	0	0
1	1	1	0

K Map:

The gate gives output always 0. So simplified circuit doesn't require any gates.

그 00 o ft 10 ||0|0|0 output = o. No gates are requind.

Note that since output is always 0, no gates are required. In case if you still want a circuit: (trivial circuit).

3 i/P AND gate: ☆ ON output = 0 O 4 ilp AND: - output o