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Question:

The Boolean expression ¬(p∨q)∨(¬p∧q) is equivalent to:

q

¬p

p

¬q

Solution:

Given Boolean expression is ¬(p∨q)∨(¬p∧q) = ¬p∧¬q∨(¬p∧q) = ¬p∧(¬q∨q) = ¬p∧T = ¬p
Hence, option B is correct.