Implementation of NOT Gate using NOR Gate

Understanding the concept of logic gates is Fundamental to understanding digital logic circuits. Logic gates are the building blocks of digital circuits responsible for performing the logical operations on binary inputs(0s and 1s) to produce a binary Output. There are many gates such as AND, OR, NOT, NAND, and other logical gates but in this Article, we will focus on the NOT gate and NOR Gate. These gates can be combined in various ways to perform various logical operations. Understanding these logical gates and their combinations can help us design the digital circuit as per our requirements.

In this article, we will be going through the Implementation of NOT Gate using NOR Gate. It is one of the Important Concepts used in digital electronics to design the circuit. We will start our Article with a Brief introduction about Not Gate and Nor Gate with their Diagram and Truth table. Then we will see 2-input and 3-input or more input of NOR gate. Then we will go through the logic of how to implement NOT Gate using NOR Gate in depth.

What is NOT Gate?

NOT gate is one of the simplest types of logic gate. It is also known as Inverter. The NOT gate only has one input and output. The function of the NOR gate is to invert the input signal and Produce the output which is Inverse of the Input. The output of the logic gate is 1 when its input is 0 and 0 when the input is 1. The NOT gate is represented by a Triangle with a Small circle at its output which indicates the inversion. The NOT gate is used where the Inversion is required such as signal inversion, Complementing the binary input, and Designing more Complex circuit. Given Below is Diagram of the NOT gate.

NOT Gate

Equation of the NOT gate can be written as

B=[Tex]\overline{\rm A}[/Tex]

Where A is the Input given to the NOT gate and B is the Output Obtained.

What is NOR Gate ?

The NOR is one of the Universal Gate in the Digital Electronics. It performs the Logical NOR operation().The Nor gate is usually Represented by OR gate with the added small circle at the output which indicates the inversion. It can has two or more inputs and has a Single output. The output of the NOR gate is 1 when all of its inputs 0 and 0 when any of its inputs are 1.NOR gates are used in the Digital circuits to design Various applications. In this Article we will see how to implement this NOT gate using NOR gate.

Types of NOR Gate

NOR gates are of two types

• 2 Input NOR Gate
• 3 Inputs NOR Multi-Input

2 Input NOR Gate

In this Type of NOR gate, Two inputs are taken and a single output obtain. The Output will be 1 if and only if both inputs are 0 and 0 if any of the inputs are 1.Given below is the diagram and Equation of the 2 Input Nor gate.

O=\overline{(A+B)}

where O is the Output and A and B is the Input given

2 Input NOR Gate

3 Inputs or Multi Input NOR Gate

In this NOR gate three or more input provided and a single output is obtained. In this gate the output is 1 only when all the Input is 0 and 0 when any of the input is 1.Given Below is the diagram and Equation of 3 Inputs or Multi Input Nor Gate.

O=\overline{(A+B+C)}

Where O is the Output and A,B and C is the Input given

3 Input NOR Gate

Implementation of NOT Gate using NOR Gate

After going through both the gate now we will discuss how we can Implement NOT Gate using NOR Gate. Given below is the connection diagram and Explanation of the implementation.

Implementation of NOT Gate using NOR Gate

• The output Equation of the the NOT gate is [Tex]\overline{A}[/Tex] and the Output of the NOR gate is [Tex]\overline{A+B}[/Tex].
• NOT gate can be simply Implemented from NOR gate by Providing Single Input to both the input terminals of the NOR gate.
• In the Output Equation of the NOR gate Instead of two inputs A and B only single input A is taken and the output obtain is Z which can be written as Z=[Tex]\overline{\rm A+A}=\overline{A}[/Tex]
  

So, this is how we can implement NOT gate using NOR gate.

Conclusion

In this Article, We have gone through the important concepts of NOT and NOR gate which are important for designing and analyzing digital logic circuits. Both gates Play important role in the digital circuit. By combining these gates and understanding their properties, We can design a complex digital circuits as per our requirement. We have explored the concept of how we can implement NOT Gate using NOR Gate.

Implementation of NOT Gate using NOR Gate – FAQs

What is the difference between a NOT gate and a NOR gate?

A NOT gate (inverter) has one input and one output, producing the inverse of the input signal. A NOR gate has two or more inputs and produces an output of 1 only when all inputs are 0, otherwise producing an output of 0.

Why is the NOR gate considered a universal gate?

The NOR gate is considered a universal gate because any other logic gate can be constructed using only NOR gates.

What are some common applications of logic gates?

Logic gates are used in various applications, including arithmetic operations, data processing, control systems, and digital signal processing.