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(A) Given the expression $(p \Rightarrow q) \Leftrightarrow (q * (\sim p))$ is a tautology.We know that $p \Rightarrow q \equiv \sim p \vee q$.Compari

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$q \Rightarrow p$

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(A) Given the expression $(p \Rightarrow q) \Leftrightarrow (q * (\sim p))$ is a tautology.We know that $p \Rightarrow q \equiv \sim p \vee q$.Comparing $(p \Rightarrow q)$ with $(q * (\sim p))$,we observe that the operator $*$ corresponds to the disjunction operator $\vee$.Thus,$p * (\sim q) \equiv p \vee (\sim q)$.Using the implication rule $\sim a \vee b \equiv a \Rightarrow b$,we get $p \vee (\sim q) \equiv \sim (\sim p) \vee (\sim q) \equiv \sim p \Rightarrow \sim q$,which is not directly listed.Alternatively,$p \vee (\sim q) \equiv \sim q \vee p \equiv q \Rightarrow p$.Therefore,$p * (\sim q) \equiv q \Rightarrow p$.

If the Boolean expression $(p \Rightarrow q) \Leftrightarrow (q * (\sim p))$ is a tautology,then the Boolean expression $p * (\sim q)$ is equivalent to

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