Basic Electronics (3110016)

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 ⊕ .
• $\mathrm{X} = \mathrm{A} \oplus \mathrm{B}$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 $\mathrm{X} = \mathrm{A} \oplus \mathrm{B} = \overline{\mathrm{A}} · \mathrm{B} + \mathrm{A} · \overline{\mathrm{B}}$

Truth Table

• 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 $\odot$.
• $\mathrm{X} = \mathrm{A} \odot \mathrm{B}$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 $\mathrm{X} = \mathrm{A} \odot \mathrm{B} = \mathrm{A} · \mathrm{B} + \overline{\mathrm{A}} · \overline{\mathrm{B}}$

Truth Table

• For Boolean Expression, Logic Diagram Symbol, and Logic circuit diagram, follow Fig - 2.