Mathematical Logic And Boolean Algebra Question 126

Question: $ \tilde{\ }(p\vee (\tilde{\ }q)) $ is equal to

Options:

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

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

C) $ \tilde{\ }p\ \vee \tilde{\ }p $

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

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Answer:

Correct Answer: B

Solution:

$ \tilde{\ }(p\vee (\tilde{\ }q))\equiv \ \tilde{\ }p\ \wedge \tilde{\ }(\tilde{\ }q)\equiv \ (\tilde{\ }p)\wedge q $ .