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The following circuit implements a two-input AND gate using two $2-1$ multiplexers.

What are the values of $X_1, X_2, X_3$?

  1. $X_1 = b, X_2 = 0, X_3 = a$
  2. $X_1 = b, X_2 = 1, X_3 = b$
  3. $X_1 = a, X_2 = b, X_3 = 1$
  4. $X_1 = a, X_2 = 0, X_3 = b$
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34 votes
Answer: A

$F = (bX_1' + aX_1)X_3 + X_2X_3'$

Put $X_1 = b, X_2 = 0, X_3 = a$ to get $F = ab.$
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