The Boolean expression ~ p ∨ q ∨ ~ p ∧ q is equivalent to

The Boolean expression ~p∨q∨~p∧q is equivalent to
  1. ~$q$
  2. $p$
  3. ~$p$
  4. q

Solution

Venn diagram of ~p∨q


Venn diagram of ~ p∧ q



Venn diagram of ~p∨q∨~p∧q



~p∨q=~p∧~q∨~p∧q

=~p∧~q∨q

=~p∧T=~p

Asked in: MHT CET Full Test 5

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