If the Boolean expression (p oplus q) wedge ( | vedclass

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

Question

(C) We test the possible combinations for $(\oplus, \Theta)$ where $\oplus, \Theta \in \{\wedge, \vee\}$.Case $1$: $(\oplus, \Theta) = (\wedge, \vee)$

Vedclass · Accepted Answer

$(\wedge, \vee)$

Vedclass · Answer

(C) We test the possible combinations for $(\oplus, \Theta)$ where $\oplus, \Theta \in \{\wedge, \vee\}$.Case $1$: $(\oplus, \Theta) = (\wedge, \vee)$$(p \wedge q) \wedge (\sim p \vee q) \equiv (p \wedge q \wedge \sim p) \vee (p \wedge q \wedge q)$$\equiv (F \wedge q) \vee (p \wedge q) \equiv F \vee (p \wedge q) \equiv p \wedge q$.This matches the given expression.Case $2$: $(\oplus, \Theta) = (\wedge, \wedge)$$(p \wedge q) \wedge (\sim p \wedge q) \equiv (p \wedge \sim p) \wedge q \equiv F \wedge q \equiv F$.Case $3$: $(\oplus, \Theta) = (\vee, \vee)$$(p \vee q) \wedge (\sim p \vee q) \equiv (p \wedge \sim p) \vee q \equiv F \vee q \equiv q$.Case $4$: $(\oplus, \Theta) = (\vee, \wedge)$$(p \vee q) \wedge (\sim p \wedge q) \equiv (p \wedge \sim p \wedge q) \vee (q \wedge \sim p \wedge q) \equiv F \vee (q \wedge \sim p) \equiv q \wedge \sim p$.Thus,the correct ordered pair is $(\wedge, \vee)$.

If the Boolean expression $(p \oplus q) \wedge (\sim p \Theta q)$ is equivalent to $p \wedge q$,where $\oplus, \Theta \in \{\wedge, \vee\}$,then the ordered pair $(\oplus, \Theta)$ is:

Similar Questions

If $p \equiv$ The switch $S_1$ is closed,$q \equiv$ The switch $S_2$ is closed,$r \equiv$ The switch $S_3$ is closed,then the symbolic form of the following switching circuit is equivalent to:

Are the following pairs of statements negations of each other:
$1$. The number $x$ is not a rational number.
$2$. The number $x$ is not an irrational number.

The statement pattern $[p \wedge (q \vee r)] \vee [\sim r \wedge \sim q \wedge p]$ is equivalent to

Let $\Delta \in \{\wedge, \vee, \Rightarrow, \Leftrightarrow\}$ be such that $(p \wedge q) \Delta ((p \vee q) \Rightarrow q)$ is a tautology. Then $\Delta$ is equal to

If the statement $(p$ $\rightarrow q)$ $\rightarrow (q$ $\rightarrow r)$ is false,then the truth values of statements $p, q, r$ respectively,can be-

Vedclass Test Series

Exam Paper Generator

Online Exam Module