‹ Back to the paper
Choose the correct option.
The equivalent of P ∧ Q ∨ ~ P ∧ ~ Q will be:
The equivalent of $P \land Q \lor \sim P \land \sim Q$ will be:
- (a)$((P \land Q) \lor \sim P) \land \sim Q$
- (b)$(P \land Q) \lor (\sim P \land \sim Q)$
- (c)$P \land (Q \lor \sim P) \land \sim Q$
- (d)$P \land (Q \lor (\sim P \land \sim Q))$
Answer
Answer
Correct option: (b)
Answer: (b) $(P \land Q) \lor (\sim P \land \sim Q)$
Since $\land$ (AND) has higher precedence than $\lor$ (OR), $P \land Q \lor \sim P \land \sim Q$ is evaluated as $(P \land Q) \lor (\sim P \land \sim Q)$.