Question:
The negation of the Boolean expression $p \vee(\sim p \wedge q)$ is equivalent to:
Correct Option: , 2
Solution:
Negation of given statement $=\sim(p \vee(\sim p \wedge q))$
$=\sim p \wedge \sim(\sim p \wedge q)=\sim p \wedge(p \vee \sim q)$
$=(\sim p \wedge q) \vee(\sim p \wedge \sim q)$
$=F \vee(\sim p \wedge \sim q)=\sim p \wedge \sim q$
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