Construct the switching circuit of the following: (p wedge sim q wedge r) vee [p wedge (sim q vee sim r)]

Exercise 1.5 · Q122

(p \wedge \sim q \wedge r) \vee [p \wedge (\sim q \vee \sim r)]

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The expression $(p \wedge \sim q \wedge r) \vee [p \wedge (\sim q \vee \sim r)]$ is a disjunction of two terms, giving two parallel branches.

Branch 1: $p \wedge \sim q \wedge r$ — three switches $p$ , $\sim q$ , $r$ all in series.

Branch 2: $p \wedge (\sim q \vee \sim r)$ — switch $p$ in series with the parallel pair $\{\sim q, \sim r\}$ . …

Q.Construct the switching circuit of the following: $(p \wedge \sim q \wedge r) \vee [p \wedge (\sim q \vee \sim r)]$