BITSAT 2024 Shift 1 Paper

The Boolean expression ∼(p∨q)∨(∼p∧q) is simplified as follows:
Start with the given expression:
∼(p∨q)∨(∼p∧q)
Apply De Morgan's Law:
(∼p∧∼q)∨(∼p∧q)
Use the Distributive Law:
∼p∧(∼q∨q)
By the Complement Law, ( ∼q∨q ) is a tautology (t) :
∼p∧t
Finally, apply the Identity Law:
∼p
Therefore, the expression simplifies to ∼p.