Logic NOR GATE - Truth Table , Properties , Advantage , Disadvantage

The NOR gate is a type of universal logic gate that can take two or more inputs but has only one output. It is essentially a combination of two basic logic gates: the OR gate and the NOT gate. This means the output of the NOR gate is the opposite (inverted) result of the OR gate's output.

Logic gates are small digital switching circuits that determine the output based on two or more input Boolean functions in binary format. A logical 1 represents True or High, while a logical 0 represents False or Low. The output varies depending on the logical operation being performed. Although a logic gate can have multiple inputs, it will always have just one output. Each logic gate has a Truth Table that shows all possible input and output combinations.

The NOR gate is considered a universal gate, and its output is the opposite or complement of the OR gate.

For two-input NOR gate, the Boolean expression is given by,

Truth Table of NOR Gate:

The truth table of a two input NOR gate is given below:


INPUT OUTPUT
A B A NOR B
0 0 1
0 1 0
1 0 0
1 1 0

Properties of NOR Gate:

The following are two important properties of NOR gate:

  • A NOR gate can have two or more inputs and gives an output.
  • A NOR gate gives a high or logic 1 output only when its all inputs are low or logic 0.

Advantages of NOR Gate:

  1. Universal Gate: The NOR gate is a universal gate, meaning it can be used to create any other logic gate (AND, OR, NOT, etc.), which simplifies circuit design.
  2. Simplifies Circuits: It can replace multiple logic gates in a circuit, reducing complexity and saving space.
  3. Low Power Consumption: NOR gates often use less power compared to other combinations of gates when used in large-scale circuits.
  4. Cost-Effective: Since it can perform the function of multiple gates, using NOR gates can reduce the number of components, making the design more economical.

Disadvantages of NOR Gate:

  1. Slower Operation: In complex circuits, using NOR gates in place of simpler gates (like AND or OR) can introduce delays, making the circuit slower.
  2. Limited by Single Function: While it is universal, using a NOR gate alone for all functions might not be efficient in every situation.
  3. Increased Complexity in Some Designs: In some circuits, using NOR gates in place of specific logic gates can make the design more complex and harder to manage.

Applications of NOR Gate:

  1. Digital Circuits: Used in digital systems for performing logic operations, especially in places where a NOT or OR function is needed.
  2. Combination Logic Circuits: Can be used to design any other type of logic gate (AND, OR, NOT) and are used in creating combinational logic circuits.
  3. Microprocessors: Used in microprocessors for implementing logic functions and controlling operations.
  4. Control Systems: Applied in control systems where specific decision-making circuits are required.

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