If the Boolean expression left( {p oplus | vedclass

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Question

check all option repeatedly

$\left( i \right)\left( {A \wedge B} \right) \wedge \left( { \sim A \vee B} \right) \equiv A \wedge \left( {B \wedge \l

Vedclass · Accepted Answer

$\left( { \vee , \wedge } \right)$

Vedclass · Answer

check all option repeatedly

$\left( i \right)\left( {A \wedge B} \right) \wedge \left( { \sim A \vee B} \right) \equiv A \wedge \left( {B \wedge \left( { \sim A \vee B} \right)} \right)$

$ \equiv A \wedge \left( B \right) \equiv A \wedge B$

$ \Rightarrow \left( i \right)$ is correct

 

$\left( {ii} \right)\left( {A \wedge B} \right) \wedge \left( { \sim A \vee B} \right) \equiv \left( {A \wedge  \sim A} \right) \wedge B$

$ \equiv f \wedge B \equiv f$

 

$\left( {iii} \right)\left( {A \vee B} \right) \wedge \left( { \sim A \vee B} \right) \equiv B$

$\left( {iv} \right)\left( {A \vee B} \right)\left( { \sim A \vee B} \right)$

$ \equiv B \vee \left( {A \wedge  \sim A} \right) \equiv B \vee f \equiv f$

$ \Rightarrow $ only $(1)$ is correct

If the Boolean expression $\left( {p \oplus q} \right) \wedge \left( { \sim p\,\Theta\, q} \right)$ is equivalent to $p \wedge q$, where $ \oplus $ , $\Theta \in \left\{ { \wedge , \vee } \right\}$ , ,then the ordered pair $\left( { \oplus ,\Theta } \right)$ is

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