Block Diagram of Full Adder

The Block Diagram and Truth Table of Full Adder is shown below :

Full Adder


Logical Expression for Full Adder

Given below is the Expression for Full Adder which includes Sum and Carry :

Sum=A ⊕ B ⊕ Cin

Cout= AB + ACin + BCin

Where, A, B, Cin are the Inputs of the Full Adder


Implementation of Full Adder using NOR Gates

In Digital Logic Circuit, Full Adder is a Digital Logic Circuit that can add three inputs and give two outputs. The three inputs A, B, and input carry as Cin. Cout is represented as output carry and Sum is represented as output. We can say Cout is called the majority 1’s detector, when more than one input is high (logic 1) then its output will be high.

In Digital Logic Circuits, Full Adders are implemented using digital logic gates such as OR gate, AND gate, NOT gate, NAND gates, NOR gates, etc. In this article, we will explore Full Adders, and NOR Gates and execute the Implementation of Full Adders using NOR Gates.

Table of Content

  • Full Adder
  • Block Diagram of Full Adder
  • Applications of Full Adder
  • NOR Gate
  • Applications of NOR Gate
  • Implementation

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What is a Full Adder?

Full Adder is a Digital Logic circuit that can add three inputs and give two outputs i.e. three inputs such as A, B, and input carry as Cin, and gives a sum output and carry output i.e. two outputs. A Full Adder Circuit performs as the brain of most Digital Logic Circuits that execute addition or subtraction. Full adders are used in multiplexers and Demultiplexers to choose and course information....

Block Diagram of Full Adder

The Block Diagram and Truth Table of Full Adder is shown below :...

Applications of Full Adder

Arithmetic Circuits: Full adders are used in arithmetic circuits to add two double fold numbers. We can say when different Full Adders are connected in a series, they can evaluate numerous-bit paired numbers.Data Handling: Full adders are used in information handling applications such as advanced signal manipulation, encoding of information, and mistake correction.Counters: Full adders are used in counters to perform addition or decrement the count by one.Multiplexers and Demultiplexers: Full adders are used in multiplexers and Demultiplexers to choose and course information.Addressing Memory: In Memory Addressing circuits, Full adders are operated to induce the site of a memory area.ALUs: Full adders are used as a basic part of Number juggling Rationale Units (ALUs) used in chip and computerized signal processors....

What is a NOR Gate?

In Digital Electronics, Logic gates are one of the most important component. It basically works on the theory of boolean function. In Digital Electronics, There are various NOR Gates, which is also comes under Universal Gate because it can be utilized to execute other basic logic gates like AND, OR and NOT gate by connecting NOR gates with each other in particular configurations....

Applications of NOR Gate

Inverter Function: In Inverter function, A NOR gate with single-input can operate as an inverter or NOT gate. When an input signal is associated with one input and ground (0V) is associated to other input , then the output will be the inverse of the input.Memory Components: NOR gates are significant in making basic memory elements like SR and D latches, giving as basic building blocks for complicated digital circuits and memory units.Boolean Logic: NOR gates compete an essential role in executing many Boolean logic functions. They can be merged in many ways to construct AND, OR, and NOT gates, building the foundation for all logic operations.Decoders: NOR gates are important elements in decoder circuits, which transforms binary information into an expanded form, simplifying work like memory addressing and output selection.Arithmetic Circuits: NOR gates are important resources in the configuration of an arithmetic circuits such as adders and subtractors, executing logical operations on binary numbers.Programmable Logic Devices (PLDs): NOR gates are oftenly highlight in PLDs to recognize custom logic functions, building them flexible components in digital circuit design.Clock Circuits: NOR gates put up to clock generation and distribution circuits in digital systems, certifying synchronization and exact timing control.Error Detection: In particular error-detection codes like Reed-Solomon codes, NOR gates are associated for computing the checking of parity bits and error correction in data transmission....

Implementation of Full Adder using NOR Gates

Implementation of Full Adder using NOR Gates is realization of Full Adder by using minimum nine NOR Gates during which we will have 2 outputs at the end namely Cout and Sum....

Conclusion

Here, we saw how we can use a universal gate called the ‘NOR’ gate to implement the Full Adder. This is important as it helps us analyze the working behind universal gates and we can understand how we can implement Full Adder using universal gates. The implementation of a full adder using NOR gates can be achieved by combining multiple NOR gates based on the logical expressions for the Sum and Cout outputs....

Implementation of Full Adder using NOR Gates – FAQs

Why is NOR Gate known as Universal Gate?...

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