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  4. In the given circuit P and Q form the inputs. The output Y is <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-tubcbhr3pfkajffe.jpg />

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Q. In the given circuit $P$ and $Q$ form the inputs. The output $Y$ is
Question

NTA AbhyasNTA Abhyas 2022

Solution:

From the given circuit, the output $Y$ is
$Y=\overline{(\bar{P}+Q)(P+Q)}$
$Y=\overline{\bar{P} \cdot P+\bar{P} Q+Q \cdot P+Q \cdot Q}$
$Y=\overline{Q+P Q+\bar{P} Q}(\because \bar{P} \cdot P=0)$
$Y=\overline{Q(1+P+\bar{P})}(\because 1+A=1)$
$Y=\bar{Q}$