c
(c)Output of upper \(OR\) gate \(= W + X\)
Output of lower \(OR\) gate \(= W + Y\)
Net output \(F = (W + X) (W + Y)\)
\(= WW + WY + XW + XY\) (Since \(WW = W\))
\(= W(1 + Y) + XW + XY\) (Since \(1 + Y= 1\))
\(= W + XW + XY = W (1 + X) + XY = W + XY\)