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Question

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

A
pq
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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
(pq)(qp)
p q pq qp q qp (qp)
T T T T F F T
T F F F T T F
F T T T F F T
F F T T T F T

(qp)=q p=pq is equivalent to pq=p q
=qp
=qp

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