Negation of statement "If I will go to college, then I will be an engineer" is -
I will not go to college and I will be an engineer
I will go to college and I will not be an engineer.
Either I will not go to college or I will not be an engineer.
Neither I will go to college nor I will be an engineer.
The Boolean expression $\left( {\left( {p \wedge q} \right) \vee \left( {p \vee \sim q} \right)} \right) \wedge \left( { \sim p \wedge \sim q} \right)$ is equivalent to
Which of the following is logically equivalent to $\sim(\sim p \Rightarrow q)$
The contrapositive of the statement "If it is raining, then I will not come", is
If the Boolean expression $( p \wedge q ) \circledast( p \otimes q )$ is a tautology, then $\circledast$ and $\otimes$ are respectively given by
The Boolean expression $ \sim \left( {p \Rightarrow \left( { \sim q} \right)} \right)$ is equivalent to