Ex-OR It also means Inequality detector because it gives output high when both inputs are different. Exclusive OR gate gives output equal to 1 when the two inputs are exclusively different. It is represented by a symbol ⊕ . X = A ⊕ B is read as “ X is equal to A XOR B ". The logic expression of this gate in terms of AND, OR and NOT operation is X = A ⊕ B = A¯ · B + A · B¯ Truth Table A B X 0 0 0 0 1 1 1 0 1 1 1 0 For Boolean Expresssion, Logic Diagram Symbol and Logic circuit diagram, follow Fig - 1. Ex-NOR It also means equality detector because it gives output high when both inputs are same. Exclusive NOR gate is XOR gate followed by an inverter. Thus, it is the complement of XOR gate. This is the reason why it is also known as equality gate. It is represented by a symbol ⊙. X = A ⊙ B is read as “ X is equal to A XNOR B ". The logic expression of this gate in terms of AND, OR and NOT operation is X = A ⊙ B = A · B + A¯ · B¯ Truth Table A B X 0 0 1 0 1 0 1 0 0 1 1 1 For Boolean Expression, Logic Diagram Symbol, and Logic circuit diagram, follow Fig - 2.
