Which of the following are pairs of equivalen | vedclass

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(D) We represent the circuits using Boolean algebra,where a closed switch is $1$ and an open switch is $0$. The lamp $L$ glows if the circuit is close

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$(A)$ and $(C)$

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(D) We represent the circuits using Boolean algebra,where a closed switch is $1$ and an open switch is $0$. The lamp $L$ glows if the circuit is closed.$(A)$ The circuit has two parallel branches: $(S_1 \land S_2)$ and $(S_1 \land S_3)$. The expression is $(S_1 \land S_2) \lor (S_1 \land S_3) = S_1 \land (S_2 \lor S_3)$.$(B)$ The circuit has two parallel branches: $S_1$ and $(S_2 \land S_3)$. The expression is $S_1 \lor (S_2 \land S_3)$.$(C)$ The circuit has $S_1$ in series with a parallel combination of $S_2$ and $S_3$. The expression is $S_1 \land (S_2 \lor S_3)$.$(D)$ The circuit has $S_1, S_2, S_3$ in series. The expression is $S_1 \land S_2 \land S_3$.$(E)$ The circuit has two parallel branches: $(S_1 \land S_2)$ and $S_3$. The expression is $(S_1 \land S_2) \lor S_3$.Comparing the expressions,circuit $(A)$ and circuit $(C)$ have the same Boolean expression: $S_1 \land (S_2 \lor S_3)$.Therefore,$(A)$ and $(C)$ are equivalent circuits.

Which of the following are pairs of equivalent circuits?

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