GATE 2023 EC – Question 23

Digital Circuits · Combinatorial Circuits · 1 mark · Multiple choice

In the circuit shown below, P and Q are the inputs. The logical function realized by the circuit shown below is

Diagram for GATE 2023 EC question 23

$Y=PQ$
$Y=P+Q$
$Y=\overline{PQ}$
$Y=\overline{P+Q}$

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Show answer and explanation

Correct answer: (A) $Y=PQ$

Explanation

The 2×1 MUX has $I_0$ tied to ground (0), $I_1=P$ and select $=Q$. $Y=\bar Q\cdot0+Q\cdot P=PQ$.