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Question

Which of the following Boolean expression is a tautology?


A

pqpq

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B

pqpq

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C

pqpq

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D

pqpq

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Solution

The correct option is D

pqpq


A tautology is a compound statement in Maths that always results in a Truth value.

It doesn’t matter what the individual part consists of, the result in tautology is always true.

Explanation for the correct option(D):

The truth table is:

pqpqpqpqpq
TTTTT
TFFFT
FTFTT
FFFTT

All outputs of pqpq are true.

So, it is a tautology.

Hence, the correct option is D)pqpq

Explanation for the incorrect options:

The truth table is:

pqpqpqpqpqpqpqpqpqpq
TTTTTTTT
TFFTFFTF
FTFTTFTT
FFFFTFFT

All outputs of options A),B),C) are not true.

So, these options are incorrect.


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