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 $ .