Switch B can rest at either 1 or 2,and switch | vedclass

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(C) In the given circuit,the output is high only when the circuit is closed.Let $A=0$ when switch $A$ is at $3$,and $A=1$ when switch $A$ is at $4$.Le

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$A \cdot \bar{B} + B \cdot \bar{A}$

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(C) In the given circuit,the output is high only when the circuit is closed.Let $A=0$ when switch $A$ is at $3$,and $A=1$ when switch $A$ is at $4$.Let $B=0$ when switch $B$ is at $1$,and $B=1$ when switch $B$ is at $2$.The circuit is closed if the path is completed. This happens when $A$ and $B$ are in different states (i.e.,one is at $1/3$ and the other is at $2/4$).Specifically,the circuit is closed if ($A=1$ and $B=0$) or ($A=0$ and $B=1$).This corresponds to the Boolean expression $A \cdot \bar{B} + B \cdot \bar{A}$,which is the logic for an $XOR$ gate.

Switch $B$ can rest at either $1$ or $2$,and switch $A$ can rest at either $3$ or $4$. Determine the output expression.

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