The symbolic form of the given switching circ | vedclass

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(D) Let $S_1 \equiv p$ and $S_2 \equiv q$. Then $S_1' \equiv \sim p$ and $S_2' \equiv \sim q$. The circuit consists of two parallel branches. The firs

Vedclass · Accepted Answer

$\sim(p \leftrightarrow q)$

Vedclass · Answer

(D) Let $S_1 \equiv p$ and $S_2 \equiv q$. Then $S_1' \equiv \sim p$ and $S_2' \equiv \sim q$. The circuit consists of two parallel branches. The first branch has switches $S_1$ and $S_2'$ in series,which corresponds to $(p \wedge \sim q)$. The second branch has switches $S_1'$ and $S_2$ in series,which corresponds to $(\sim p \wedge q)$. Since the branches are in parallel,the total expression is $(p \wedge \sim q) \vee (\sim p \wedge q)$. This expression is equivalent to the exclusive $OR$ operation,which is $\sim(p \leftrightarrow q)$.

The symbolic form of the given switching circuit is equivalent to $..........$

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