Question: Which of the following is equivalent to the Boolean expression $p \wedge \sim q$ ?
$\sim(\mathrm{q} \rightarrow \mathrm{p})$
$\sim \mathrm{p} \rightarrow \sim \mathrm{q}$
$\sim(\mathrm{p} \rightarrow \sim \mathrm{q})$
$\sim(\mathrm{p} \rightarrow \mathrm{q})$
Correct Option: , 4
Solution:
$\mathrm{p} \wedge \sim \mathrm{q} \equiv \sim(\mathrm{p} \rightarrow \mathrm{q})$
Option (4)
