Question

If the Boolean expression $(p\wedge q)*(p\otimes q)$ is a tautology, then $\star$ and $\otimes$are respectively given by :

• A. $\wedge ,⟶$
• B. $\to ,\to$
• C. $V,\to$
• D. $\wedge ,V$

Answer 1

The correct option is B

$\to ,\to$

Explanation for the correct option.
$$\begin{gathered} (p\wedge q)\to (p\to q) \\ (p\wedge q)\to (~p\vee q) \\ (~p\vee ~q)\vee (~p\vee q) \\ ~p\vee (~q\vee q)\Rightarrow \text{Tautology} \\ \otimes \Rightarrow \to \end{gathered}$$
Hence, option B is correct.