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The Boolean expression  \sim \left ( p\vee q \right )\left ( \sim p\wedge q \right )  is equivalent to :

  • Option 1)

    \sim q

  • Option 2)

    \simp\sim p

  • Option 3)

    p

  • Option 4)

    q

 

Answers (1)

best_answer

\sim (p\vee q)\vee (\sim p\wedge q)

(\sim p\wedge \sim q)\vee (\sim p\wedge q)

(\sim p\wedge ( \sim q\vee q)\Rightarrow \sim p

 

Negation of Conjunction "And" -

Negation of p \wedgeq is \sim p \vee \sim q

-

 

 

Negation of Disjunction "OR" -

\sim (p\vee q)=\sim p\wedge \sim q

-

 

 


Option 1)

\sim q

Option 2)

\simp\sim p

Option 3)

p

Option 4)

q

Posted by

gaurav

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