Mathematical Logic And Boolean Algebra Question 116

Question: For the circuits shown below, the Boolean polynomial is

[Karnataka CET 1999]

Options:

A) $ (\tilde{\ }p\vee q)\vee (p\ \vee \tilde{\ }q) $

B) $ (\tilde{\ }p\wedge p)\wedge (q\wedge q) $

C) $ (\tilde{\ }p\ \wedge \tilde{\ }q)\wedge (q\wedge p) $

D) $ (\tilde{\ }p\wedge q)\vee (p\ \wedge \tilde{\ }q) $

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Answer:

Correct Answer: D

Solution:

For the given circuit, Boolean polynomial is $ (\tilde{\ }p\wedge q)\vee (p\ \wedge \tilde{\ }q) $ .