Which of the following are pairs of equivalen | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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

Vedclass · Accepted Answer

$(A)$ and $(C)$

Vedclass · Answer

(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?

Similar Questions

The compound statement $(P \vee Q) \wedge (\sim P) \Rightarrow Q$ is equivalent to:

$\sim (p \vee (\sim q))$ is equal to .......

The symbolic form of the statement "If it does not rain today or $I$ will not go to school,then $I$ will meet my friend and $I$ will go to watch a movie" is:
$p$: It rains today
$q$: $I$ am going to school
$r$: $I$ will meet my friend
$s$: $I$ will go to watch a movie

$(p \wedge r) \Leftrightarrow (p \wedge (\sim q))$ is equivalent to $(\sim p)$ when $r$ is.

Are the following pairs of statements negations of each other:
$1$. The number $x$ is a rational number.
$2$. The number $x$ is an irrational number.

Vedclass Test Series

Exam Paper Generator

Online Exam Module