Question #109954

A combinational circuit has four inputs (A, B, C, D) and three outputs (X, Y, Z). XYZrepresents a binary number whose value equals the number of 1’s at the input. For example if ABCD 1011,XYZ 011. (a) Find the minterm expansions for X,Y,and Z. (b) Find the maxterm expansions for Y and Z.

Expert's answer

As per the given question,

The truth table are given below,

a) Min term expansion,

"F=x'yz+x'yz+x'yz+x'yz"

"F=\\Sigma(7, 11,13, 14)"

b) similarly,

Max term expansion,

"F=\\Sigma(0,1,2,3,4,5, 6,8,9,10,12,15)"

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