GATE EE 2024 Set 1 — Question 26
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Analog & Digital Electronics → Digital Logic Circuits → MUX, DEMUX, Decoders
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Question
To obtain the Boolean function , the inputs in the figure should be
Correct answer
(B) 1110
Solution
1.The output of a 4:1 Multiplexer with select lines and is given by:
2.The target Boolean function is .
3.Expand the target function to include all minterms of and :
4.Rearrange to match the standard MUX output form:
5.Comparing the coefficients:
6.Thus, the inputs must be .
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