Question
Express the following circuits in the symbolic form. Prepare the switching table :
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Answer
Let $p :$ the switch $\mathrm{S}_1$ is closed
$q$ : the switch $S_2$ is closed
$\sim \mathrm{p}$ : the switch $S_1^{\prime}$ is closed or the switch $S_1$ is open
$\sim \mathrm{q}$ : the switch $\mathrm{S}_2{ }^{\prime}$ is closed or the switch $\mathrm{S}_2$ is open.
Then the symbolic form of the given circuit is :
$(p \wedge q) \vee(\sim p) \vee(p \wedge \sim q)$
$q$ : the switch $S_2$ is closed
$\sim \mathrm{p}$ : the switch $S_1^{\prime}$ is closed or the switch $S_1$ is open
$\sim \mathrm{q}$ : the switch $\mathrm{S}_2{ }^{\prime}$ is closed or the switch $\mathrm{S}_2$ is open.
Then the symbolic form of the given circuit is :
$(p \wedge q) \vee(\sim p) \vee(p \wedge \sim q)$
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