GATE EC 2026 Set 1 — Question 48
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Digital Circuits → Combinational Logic → MUX, DEMUX, Decoders & Encoders
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Question
A Boolean function, with as MSB and as LSB is realized by 4:1 multiplexer (MUX) with select lines, and ( is MSB, is LSB) and inputs, as shown in the Figure.Which of the following options is the correct expression of ?
Correct answer
(C) xy + z
Solution
The output of a 4:1 MUX is given by the expression:From the given figure:
- The select lines are (MSB) and (LSB).
- The inputs are connected as follows:
- is connected to logic '1'.
- is connected to logic '0'.
- is connected to logic '1'.
- is connected to the variable .
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