Correct Answer - Option 2 : I and III

**Formula:**

XNOR(x, y) = x ⊙ y = x.y + x'.y'

XOR(x,y) = x ⊕ y = x.y' + x'y

**Statement I:** Represents exclusive NOR operation

x.y + x'y' = x ⊙ y

__Statement II:__ It does not represents exclusive NOR operation

XOR (x', y') = x' ⊕ y' = x'.(y')' + (x')'.(y')'= x'.y + x.y' = x ⊕ y

It does not exclusive OR operation

__Statement III:__ Represents exclusive NOR operation

XOR (x', y) = x' ⊕ y = x'.y' + (x')'.y = x'.y' + x.y = x ⊙ y

Therefore option 2 is correct.

**NOTE:**

⊙ → XNOR

⊕ → XOR