The logical statement $\sim(p \vee q) \vee(\sim p \wedge q)$ is equivalent to

The statement $p \to (p \leftrightarrow q)$ is logically equivalent to :-

The logical statement $(p \wedge \sim q) \vee q \vee (\sim p \wedge q)$ is equivalent to

Statement-$I$: $\sim (p \leftrightarrow q)$ is equivalent to $(p \wedge \sim q) \vee (q \wedge \sim p)$.
Statement-$II$: $p$ $\rightarrow (p$ $\rightarrow q)$ is a tautology.

Simplify the following switching circuit and find the corresponding Boolean expression.

The contrapositive of the statement "If it is raining,then $I$ will not come" is