The output of the following circuit is

The statement pattern $(p \wedge q) \wedge [(p \wedge q) \vee (\sim p \wedge q)]$ is equivalent to

If $p \equiv$ The switch $S_1$ is closed,$q \equiv$ The switch $S_2$ is closed,$r \equiv$ The switch $S_3$ is closed,then the symbolic form of the following switching circuit is equivalent to:

Let $p$ and $q$ be any two logical statements and $r: p \to (\sim p \vee q)$. If $r$ has a truth value $F$,then the truth values of $p$ and $q$ are respectively

Which of the following is false?

The negation of the contrapositive of the statement pattern $(p \vee \sim q) \rightarrow (p \wedge \sim q)$ is