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  • Let be such that the Boolean expression <img alt="(p * \sim q) \Rightarrow(p \square q)" src="https:/

Let *, \square \in\{\wedge , \vee] be such that the Boolean expression (p * \sim q) \Rightarrow(p \square q) is a tautology. Then :
Option: 1 *=\vee,\square=\wedge
Option: 2 * =\vee, \square=\vee
Option: 3 * =\wedge, \square=\vee
Option: 4 * =\wedge, \square=\wedge

Answers (1)

best_answer

Tautology is a statement in which all the outcomes are True.
To Make max True in p\rightarrow q, p should be contain maximum False statements.
so try \: \ast = \wedge \, and\,\: \square = \vee
\left ( p\wedge \sim q \right )\Rightarrow \left ( p\vee q \right )
Truth Table

p     q \sim q p\wedge \sim q p\vee q \left ( p\wedge \sim q \right )\Rightarrow \left ( p\vee q \right )
T T F F T T
T F T T T T
F T F F T T
F F T F F T

Option (3)

Posted by

Kuldeep Maurya

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