On (A={0,1}), (a*b) is the remainder when (a+b) is divided by (2). Which statement is correct for this operation?

Correct answer: It is both commutative and associative

Step 1: The remainder is always (0) or (1), so the operation is closed. Step 2: The remainder of (a+b) does not change with order, and associativity follows from addition modulo (2). Step 3: For small sets, an operation table quickly verifies properties.