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Question

Digital Electronics Question on Logic Gates

If ⊕ and ⊙ denote the exclusive OR and exclusive NOR operations, respectively, then which one of the following is not correct?

A

PQ=PQ\overline{P\oplus Q}=P\odot Q

B

PˉQ=PQ\bar{P}\oplus Q=P\odot Q

C

PˉQˉ=P\plusQ\bar{P}\oplus \bar{Q}=P\plus Q

D

(PPˉ)+Q=(PPˉ)Qˉ(P\oplus \bar{P})+Q=(P\odot \bar{P})\odot \bar{Q}

Answer

(PPˉ)+Q=(PPˉ)Qˉ(P\oplus \bar{P})+Q=(P\odot \bar{P})\odot \bar{Q}

Explanation

Solution

The correct answer is(D): (PPˉ)+Q=(PPˉ)Qˉ(P\oplus \bar{P})+Q=(P\odot \bar{P})\odot \bar{Q}