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Official PYQ · 2003

GATE EC 2003 Set 1 Q54 — Combinatorial Circuits

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If the functions W,X,YW, X, Y and ZZ are as follows
W=R+PˉQ+RˉSX=PQRˉSˉ+PˉQˉRˉSˉ+PQˉRˉSˉY=RS+PR+PQˉ+Pˉ⋅Qˉ‾Z=R+S+PQ+Pˉ.Qˉ.Rˉ+PQˉ.Sˉ‾\begin{array}{l} W=R+\bar{P} Q+\bar{R} S \\ X=P Q \bar{R} \bar{S}+\bar{P} \bar{Q} \bar{R} \bar{S}+P \bar{Q} \bar{R} \bar{S} \\ Y=R S+\overline{P R+P \bar{Q}+\bar{P} \cdot \bar{Q}} \\ Z=R+S+\overline{P Q+ \bar{P} . \bar{Q} . \bar{R} + P \bar{Q} . \bar{S}} \end{array}
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Answer: A

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