Mathematical Logic And Boolean Algebra Question 35
Question: Which of the following is logically equivalent to $ \tilde{\ }(\tilde{\ }p\Rightarrow q) $
Options:
A) $ p\wedge q $
B) $ p\wedge \tilde{\ }q $
C) $ \tilde{\ }p\wedge q $
D) $ \tilde{\ }p\ \wedge \tilde{\ }q $
Show Answer
Answer:
Correct Answer: D
Solution:
Since $ \tilde{\ }(p\Rightarrow q)\equiv p\ \wedge \tilde{\ }q $ $ \tilde{\ }(\tilde{\ }p\Rightarrow q)=\ \tilde{\ }p\ \wedge \tilde{\ }q $