NIMCET 2023 Question Paper with solutions

Question : 13 of 120

Marks: +1, -0

The negation of

∼ s ∨(∼ r ∧ s)

is equivalent to:

Solution:

∼(∼ S ∨(∼ R ∧ S))

\;=S ∧(R ∨ ∼ S)

\;=S ⋅(R+\ov{S})=S ⋅ R+S ⋅ \ov{S}

\;=S ∧ R+S ∧ \ov{S}=S ⋅ R+φ

\;=(S ∧ R) ∧ φ

\;=S ∧ R .

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