Write the following statement in the form "if $p$,then $q$":
$p$: It is necessary to have a password to log on to the server.

If $p$: It is raining. $q$: Weather is pleasant. Then the simplified form of the statement "It is not true that,if it is raining then the weather is not pleasant" is

Negation of the statement $(p \vee r) \Rightarrow (q \vee r)$ is :

Which one of the following Boolean expressions is a tautology?

If $(p \wedge \sim r) \Rightarrow (q \vee r)$ is false and $q$ and $r$ are both false,then $p$ is

For the circuit shown below,the Boolean polynomial is