Let ⊕ and ⊙ denote the Exclusive OR and Exclusive NOR operations, respectively. Which one of the following is NOT CORRECT?

\(\overline{{(P⊕Q)}} =P⊙Q\)
\(\bar P⊕Q=P⊙Q\)
\(\bar P ⊕\bar Q =P⊕Q\)
\((P⊕\bar P)⊕Q=(P⊙\bar P)⊙\bar Q\)

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 4 : \((P⊕\bar P)⊕Q=(P⊙\bar P)⊙\bar Q\)

The correct answer is option 4

Calculation:

LHS = (P ⊕ P̅) ⊕ Q=1 ⊕ Q=Q̅

RHS = (P ⊙ P̅) ⊙ Q̅= 0 ⊙ Q̅ =Q

Hence LHS is not equal to RHS in option 4

4 views Answered 2022-09-04 04:29

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