Mathematical Logic And Boolean Algebra Question 130

Question: $ \tilde{\ }(p\Leftrightarrow q) $ is

Options:

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

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

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

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

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