Which one of the following Boolean expression | vedclass

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$\left( {p \vee q} \right) \wedge \left( { \sim p \vee  \sim q} \right) = \left( {p \vee q} \right) \wedge  \sim \left( {p \

Vedclass · Accepted Answer

$\left( {p \vee q} \right) \vee \left( {p \vee  \sim q} \right)$

Vedclass · Answer

From options

$\left( {p \vee q} ight) \wedge \left( { \sim p \vee  \sim q} ight) = \left( {p \vee q} ight) \wedge  \sim \left( {p \wedge q} ight) 	o $ Not a tautology

$\left( {p \vee q} ight) \vee \left( {p \vee  \sim q} ight) = p \wedge \left( {q \vee  \sim q} ight) 	o $ tautology

$\left( {p \wedge q} ight) \vee \left( {p \wedge  \sim q} ight) \equiv p \wedge \left( {q \vee  \sim q} ight) 	o $ Not a tautology

$\left( {p \vee q} ight) \wedge \left( {p \wedge  \sim q} ight) \equiv p \vee \left( {q \wedge  \sim q} ight) 	o $  Not a tautology

Which one of the following Boolean expressions is a tautology?

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