# 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:

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

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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2. Ya it is very useful for my exam preparation. You can updates the definitions also that will be very useful for students who are refer this website

3. Hi Akila,

Thank you for your comment. Please let us know which definitions should we update in above post?

Regards

4. this text not compelete for me …..
beacuse i need a more help in digital electronic for univercity

plz help me

5. it is very useful to my examination .what is the difference between full adder using nand logic and nor logic

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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