CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Logical Connectives

If the Boolea...

Question

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

A

(\land, \land)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

(\land, \lor)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

(\lor, \lor)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

(\lor, \land)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $(\land, \lor)$
$\begin{matrix} p & q & \sim p & p \lor q & p \land q & \sim p \lor q & \sim p \land q T & T & F & T & T & T & F T & F & F & T & F & F & F F & T & T & T & F & T & T F & F & T & F & F & T & F \end{matrix}$
$\begin{matrix} (p \lor q) \land (\sim p \lor q) & (p \lor q) \land (\sim p \land q) & (p \land q) \land (\sim p \lor q) & (p \land q) \land (\sim p \land q) T & F & T & F F & F & F & F T & T & F & F F & F & F & F \end{matrix}$
From the truth table, we observe that $(p \oplus q) \land (\sim p ⊙ q) = p \land q$

Suggest Corrections

thumbs-up

6

Similar questions

Q. If the Boolean expression

(p \oplus q) \land (\sim p ⊙ q)

is equivalent to

p \land q

\oplus, ⊙ ϵ {\land, \lor}

, then the order pair

(\oplus, ⊙)

Q. The Boolean expression

\sim (p \Rightarrow (\sim q))

is equivalent to :

Q. The Boolean expression

((p \land q) \lor (p \lor \sim q)) \land (\sim p \land \sim q)

is equivalent to :

Q. The Boolean expression

(p \land \sim q) \lor q \lor (\sim p \land q)

is equivalent to

Q. The Boolean expression

(p \land \sim q) \lor q \lor (\sim p \land q)

is equivalent to

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Logical Connectives

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon