What is NOR gate? Write its symbol, truth table and Boolean equation.

A NOR gate is a fundamental digital logic gate that performs a logical operation on two or more inputs. It produces an output that is true only when all its inputs are false. In other words, the output is the negation of the OR operation.

Symbol of NOR Gate

The symbol for a NOR gate is represented as follows:

Truth Table

The truth table for a 2-input NOR gate is shown below:

Input A	Input B	Output (A NOR B)
0	0	1
0	1	0
1	0	0
1	1	0

Boolean Equation

The Boolean expression for a NOR gate with inputs A and B can be written as:

Y = ¬(A + B)

Here, Y is the output, and the symbol "¬" denotes negation, while "+" represents the OR operation.

A NOR gate is a fundamental digital logic gate that performs a negative OR operation. It outputs true (1) only when all its inputs are false (0). Here's a closer look at its symbol, truth table, and Boolean equation.

Symbol of NOR Gate

The symbol for a NOR gate is represented as follows:

Truth Table

The truth table for a NOR gate with two inputs (A and B) is shown below:

Input A	Input B	Output (A NOR B)
0	0	1
0	1	0
1	0	0
1	1	0

Boolean Equation

The Boolean equation for a NOR gate can be expressed as:

Y = ¬(A + B)

In this equation, Y represents the output, A and B are the inputs, and the symbol "¬" denotes the NOT operation.

Key Takeaways

• A NOR gate outputs true only when all inputs are false.
• It is a universal gate, meaning it can be used to create any other logic gate.

A NOR gate is a fundamental digital logic gate that performs a logical operation on two or more inputs. It produces an output that is true only when all of its inputs are false. In other words, it outputs a low signal (0) when at least one input is high (1).

Symbol of NOR Gate

The symbol for a NOR gate is represented as follows:

Truth Table

The truth table for a two-input NOR gate is shown below:

Input A	Input B	Output (A NOR B)
0	0	1
0	1	0
1	0	0
1	1	0

Boolean Equation

The Boolean expression for a NOR gate with inputs A and B is:

Output = ¬(A + B)

Here, the symbol "¬" represents the NOT operation, and "+" indicates the OR operation. This equation signifies that the output is true only when both inputs are false.