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Question

The negation of the Boolean expression p(~pq) is equivalent to:


A

p~q

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B

~p~q

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C

~pq

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D

~p~q

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Solution

The correct option is D

~p~q


Find negation of the given Boolean expression

Given, p(~pq) can be simplified as,

p(~pq)=p~ppq

=Tpq

=pq

Now negation of pq is

~(pq)=~p~q

so the negation of p(~pq) is ~p~q,

Hence the correct option (D).


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