Question

Reduce the above expression X (A, S, C, L) by using 4-variable Karnaugh map, showing the various groups (i.e., octal, quads and pairs). Draw the logic gate diagram using NOR gates only for the reduced expression. Assume that the variables and their complements are available as inputs.

Answer 1

Karnaugh Map Simplification

4-variable K-map for X(A, S, C, L)

AS\CL	00	01	11	10
00	0	0	0	0
01	0	0	0	0
11	0	0	1	1
10	0	0	1	1

K-map grouping, the simplified expression is:

X = C(A + S)