ECE 130 HW#6 – Due Thursday, March 25
1. Consider the following truth table where the four-bit number A (A3, A2, A1, A0) is
input and X is output:
A3 A2 A1 A0 X
0 0 0 0
1
0 0 0 1
0
0 0 1 0
1
0 0 1 1
1
0 1 0 0
0
0 1 0 1
0
0 1 1 0
0
0 1 1 1
0
1 0 0 0
1
1 0 0 1
1
1 0 1 0
1
1 0 1 1
1
1 1 0 0
0
1 1 0 1
0
1 1 1 0
1
1 1 1 1
0
a. Convert the truth table into a K-Map.
b. Use the K-Map to develop a minimized sum-of-products equation for the output X.
c. Use the K-Map to develop a minimized product-of-sums equation for the output X.
