Engineering
Mathematics
Logical Operator Reasoning AND and OR
Question

The negation of the Boolean expression ~s ∨ (~ r ∧ s) is equivalent to

s ∧ r

r

s ∨ r

~s ∧ ~ r

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Solution

~(~ s∨(~ ∧s))

s∧(r∨~ s)

(s ∧ r) ∨ (s ∧ ~ s)

(s ∧ r) ∨ (ϕ)

(s ∧ r)