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Question

If the Boolean expression (pq)(q*(~P))is a tautology, then the Boolean expression p*(~q) is equivalent to:


A

p~q

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B

pq

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C

qp

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D

~qp

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Solution

The correct option is C

qp


Explanation for the correct option.

The table for boolean expression (pq)(q*(~P)) is:


~(~qp)=q~p=~pq*isequivalentto=~qp=qp

Hence, option C is correct.


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