Question

The diagram of a logic circuit is given below. The output F of the circuit is represented by

• A.
  W(X+Y)
• B.
  W(XY)
• C.
  W+(XY)
• D.
  W+(X+Y)

Answer 1

The correct option is C

W+(XY)
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