Mathematical Logic And Boolean Algebra Question 146
Question: $ \tilde{\ }(p\vee q)\vee (\tilde{\ }p\wedge q) $ is logically equivalent to
Options:
A) ~p
B) p
C) q
D) ~q
Show Answer
Answer:
Correct Answer: A
Solution:
$ \tilde{\ }(p\vee q)\vee (\tilde{\ }p\vee q)) $ $ \equiv (\tilde{\ }p\ \wedge \tilde{\ }q)\vee (\tilde{\ }p\wedge q $ ) $ \equiv \ \tilde{\ }p\wedge (\tilde{\ }q\vee q)\equiv \ \tilde{\ }p $ .
BETA
