Exclusive-OR binary operation can be represented as

The Exclusive-OR (XOR) binary operation, denoted as A ⊕ B, is a fundamental logic operation that outputs true (1) only when the inputs are different (i.e., one is 0 and the other is 1). The standard Boolean expression for XOR in its Sum of Products (SOP) form is A'B + AB' (where ' denotes the complement or NOT operation).

In the provided options, Option B corresponds to this standard representation, where the specific spacing/formatting typically indicates the complement of the variables (representing A¯B + ¯AB). While XOR can also be expressed in Product of Sums (POS) form as (A + B)(A' + B'), the SOP form is the primary definition used in digital logic design. Option C represents the XNOR operation (AB + A'B'), which is the logical inverse of XOR, and Option A simplifies to a standard AND operation (AB + AB = AB).