Question
Write the symbolic form of the following switching circuits construct its switching table and interpret it.
✓
Answer
Let p : the switch $S _1$ is closed
$q$ : the switch $S_2$ is closed
$\sim p$ : the switch $S _1{ }^{\prime}$ is closed or the switch $S _1$ is open
$\sim q$ : the switch $S _2{ }^{\prime}$ is closed or the switch $S _2$ is open.
Then the symbolic form of the given circuit is:
$(p \vee \sim q) \vee(\sim p \wedge q)$
$q$ : the switch $S_2$ is closed
$\sim p$ : the switch $S _1{ }^{\prime}$ is closed or the switch $S _1$ is open
$\sim q$ : the switch $S _2{ }^{\prime}$ is closed or the switch $S _2$ is open.
Then the symbolic form of the given circuit is:
$(p \vee \sim q) \vee(\sim p \wedge q)$
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