GATE | Gate IT 2007 | Question 8

The following circuit implements a two-input AND gate using two 2-1 multiplexers. What are the values of X1, X2, X3 ?
(A) X1=b, X2=0, X3=a
(B) X1=b, X2=1, X3=b
(C) X1=a, X2=b, X3=1
(D) X1=a, X2=0, X3=b

Answer: (A)

Explanation: 2007_8_2
F = (bX1‘ + aX1)X3 + X2X3
By putting following values: X1 = b, X2 = 0, X3 = a
We will get F = ab.

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