Question

The Boolean expression $\sim (p\vee q)\vee (\sim p\wedge q)$ is equivalent to :

• A. $\sim p$
• B. $p$
• C. $q$
• D. $\sim q$

Answer 1

Answer: (A)

$\sim (p\vee q)\vee (\sim p\wedge q)$
By property, $(\sim p\wedge \sim q)\vee (\sim p\wedge q)$
$=\sim p$