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Question:

The Boolean expression P+P̅Q where P and Q are the inputs of the logic circuit, represents.

AND gate

NAND gate

NOT gate

OR gate

Solution:

Correct option is D. OR gate
Given that
P+P¯Q
where P and Q are the inputs of the logic circuit,
Let
Y=P+P¯Q=P(1)+P¯Q=P(1+Q)+P¯Q∵1+X=1=P+PQ+P¯Q=P+Q(P+P¯)∵X¯+X=1=P+Q
Hence the following expression represents OR gate