NIMCET 2018 Question Paper with solutions

The exclusive NOR and exclusive OR of x and y is given by the expressions
x ◉ y = xy + x'y' (exclusive NOR or XNOR)
x ⊕ y = xf y + xy' (exclusive OR or XOR)
So, option (A) is automatically true.
Option (B)is x ⊕ y' which evaluates to x' y' + x(y')'
= x'y' + xy which is equivalent to x ⊙ y.
Option (C) is x' ⊕ y which evaluates to
(x')'y + x' y' = xy + x' y' which is equivalent to x ⊙ y
Option (D) is x ' ⊕ y ' which evaluates to (x')'y' + x'(y')'
= xy' + x'y which is not equivalent to x ⊙ y.