JEE Main On 08 April 2018 Question 12
Question: The Boolean expression $ \sim (p\vee q)\vee (\sim p\wedge q) $ is equivalent to: [JEE Main Online 08-04-2018]
Options:
A) q
B) $ \tilde{\ }q $
C) $ \tilde{\ }p $
D) p
Show Answer
Answer:
Correct Answer: C
Solution:
$ \tilde{\ }(p\vee q)\vee (\tilde{\ }p\wedge q) $ $ (\tilde{\ }p\wedge \tilde{\ }q)\vee (\tilde{\ }p\wedge q) $
Demorgans Laws $ \tilde{\ }p\wedge (\tilde{\ }q\vee q) $
Distribution Law $ \tilde{\ }p\wedge T $ $ \tilde{\ }p $
