GATE EC 2014 Set 3 — Question 26
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Digital Circuits → Combinational Logic → MUX, DEMUX, Decoders & Encoders
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Question
Consider the multiplexer based logic circuit shown in the figure.
Correct answer
(D) F = W ⊕ S₁ ⊕ S₂
Solution
The output of the first 2:1 multiplexer with select line and inputs (at ) and (at ) is:
The second 2:1 multiplexer has select line and inputs (at ) and (at ). Its output is:
Substituting :
Thus, the correct option is (D).
The second 2:1 multiplexer has select line and inputs (at ) and (at ). Its output is:
Substituting :
Thus, the correct option is (D).
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