Question:
If the Boolean expression $(\mathrm{p} \Rightarrow \mathrm{q}) \Leftrightarrow(\mathrm{q} *(\sim \mathrm{p}))$ is a tautology, then the Boolean expression $p *(\sim q)$ is equivalent to :
Correct Option: 1
Solution:
$\because \mathrm{p} \rightarrow \mathrm{q} \equiv \sim \mathrm{p} \vee \mathrm{q}$
$\mathrm{SO}, * \mathrm{~V}$
Thus, $p^{*}(\sim q) \equiv p v(\sim q)$
$\equiv q \rightarrow p$