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The negation of the Boolean expression $$\sim q \wedge p \Rightarrow \sim p \vee q$$ is logically equivalent to
Given statement,
$$\sim q\land p\Rightarrow \sim p\lor q$$
Now,
$$\sim p\lor q\equiv p\Rightarrow q$$
and
$$\sim q\land p\equiv \sim(p\Rightarrow q)$$
Therefore, the statement becomes
$$\sim(p\Rightarrow q)\Rightarrow (p\Rightarrow q)$$
Let
$$A=(p\Rightarrow q)$$
Then the statement is
$$\sim A\Rightarrow A$$
The negation of
$$\sim A\Rightarrow A$$
is
$$\sim A\land \sim A$$
$$=\sim A$$
Substituting back,
$$=\sim(p\Rightarrow q)$$
Hence, the required negation is $$\boxed{\sim(p\Rightarrow q)}$$.
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