Gate2017 ss Q39
0. If w, x, y, z are Boolean variables, then which one of the following is INCORRECT?
- Option : C
- Explanation : A)LHS: wx + w(x + y) + x(x+y) = x + wy
RHS
⇒ wx + wx + wy + x + xy
⇒ wx + wy + x + xy [∵ xx = x]
⇒ x(w+y+1) + wy [∵1 + x = 1]
⇒ x + wy
⇒ L.H.S = R.H.S
L.H.S ≠ R.H.S
D) L.H.S.:(w + y)(wxy + wyz) = wxy + wyz
(w + y)(wxy + wyz)
wxy + wyz + wxy + wyz
wxy + wyz
L.H.S = R.H.S
