The symbolic form of the given switching circ | vedclass

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

Question

(D) Let $S_1 \equiv p$ and $S_2 \equiv q$. Then $S_1' \equiv \sim p$ and $S_2' \equiv \sim q$. The circuit consists of two parallel branches. The firs

Vedclass · Accepted Answer

$\sim(p \leftrightarrow q)$

Vedclass · Answer

(D) Let $S_1 \equiv p$ and $S_2 \equiv q$. Then $S_1' \equiv \sim p$ and $S_2' \equiv \sim q$. The circuit consists of two parallel branches. The first branch has switches $S_1$ and $S_2'$ in series,which corresponds to $(p \wedge \sim q)$. The second branch has switches $S_1'$ and $S_2$ in series,which corresponds to $(\sim p \wedge q)$. Since the branches are in parallel,the total expression is $(p \wedge \sim q) \vee (\sim p \wedge q)$. This expression is equivalent to the exclusive $OR$ operation,which is $\sim(p \leftrightarrow q)$.

The symbolic form of the given switching circuit is equivalent to $..........$

Similar Questions

Which one of the following is a tautology?

If the inverse of the conditional statement $p \to (\sim q \wedge \sim r)$ is false,then the respective truth values of the statements $p, q,$ and $r$ are:

Write the following statement in the form of "if-then":
The banana trees will bloom if it stays warm for a month.

Which of the following sentences are statements? Give reasons for your answer.
The sum of all interior angles of a triangle is $180^{\circ}.$

The dual of $(x \vee y) \wedge (x \vee 1) = x \vee (x \wedge y) \vee y$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module