Q.Construct the truth table for the following statement pattern.
$(p \wedge \sim q) \leftrightarrow (q \rightarrow p)$

Build columns for $p$, $q$, $\sim q$, $p \wedge \sim q$, $q \rightarrow p$, then combine the last two with the biconditional $\leftrightarrow$ (true only when both sides have the same truth value).

We need $2^2 = 4$ rows. Recall $\sim q$ flips $q$; $p \wedge \sim q$ is true only when both $p$ is true and $q$ is false; $q \rightarrow p$ is false only when $q$ is true and $p$ is false; and $A \leftrightarrow B$ is true exactly when $A$ and $B$ agree.