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Question 10717 – GATE 2007-IT

The following circuit implements a two-input AND gate using two 2-1 multiplexers. What are the values of X1, X2, X3 ?

Correct Answer: A

Question 8 Explanation: 
F = (bX1′ + aX1)X3 + X2X3′
If we put
X1 = b
X2 = 0
X3 = a
Then we get,
F = ab
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
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