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


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