Full Adder in Digital Electronics

Full Adder is a combinational circuit that performs addition of three bits. It consists of three inputs and two ouputs. Two of the inputs denoted by A and B are augend and addend bits that are to be added, & third input denoted by Ci represents the carry bit from the previous lower significant position. The two O/Ps are the sum ‘S’ of A and B and the carry bit, denoted by Co.

Truth Table of a full adder can be derived as follows:

Ci

A

B

S

Co

0

0

0

0

0

0

0

1

1

0

0

1

0

1

0

0

1

1

0

1

1

0

0

1

0

1

0

1

0

1

1

1

0

0

1

1

1

1

1

1

From the truth table, Boolean Expression can be derived as:

S = Ci ⊕ A ⊕ B

Co = AB + (A ⊕ B) Ci

A full adder circuit can be realized using half adder circuits as shown in the image below:

Full Adder implementation using half adders

Using OR, XOR and AND logic gates, a full adder circuit can be implemented as below:

Full Adder Implementation Using Logic Gates

Hope you find the information presented here useful. Please leave your footprints in the comments section below for any queries, feedback or suggestion.

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  6. Hi asf,

    Thank you for your feedback. There is no difference between the functionality. These are just two ways of implementing Full Adder.

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