Question: The Boolean expression $\sim(\mathrm{p} \Rightarrow(\sim \mathrm{q}))$ is equivalent to :
$(\sim p) \Rightarrow q$
$\mathrm{p} \vee \mathrm{q}$
$\mathrm{q} \Rightarrow \sim \mathrm{p}$
$p^{\wedge} \mathrm{q}$
Correct Option: , 4
Solution:
$\sim(\mathrm{p} \rightarrow(\sim \mathrm{q}))=\sim(\sim \mathrm{p} \vee \sim \mathrm{q})$
$=\mathrm{p} \wedge \mathrm{q}$