Half Adder in Digital Electronics

Half Adder is a combinational circuit that performs addition of two bits. It has two inputs and two outputs. The two I/Ps are the two 1-bit numbers A and B designated as augend and addend bits. The two O/Ps are the sum ‘S’ of A and B and the carry bit, denoted by ‘C’.

Truth Table of a half adder can be derived by performing binary addition of augend and addend bits as follows:

A

B

S

C

0

0

0

0

0

1

1

0

1

0

1

0

1

1

0

1

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

S = A’B + AB’ = A B

C = AB

A Half Adder circuit can be implemented using AND & OR logic gates or by using XOR & AND logic gates. Both these implementations are shown in the image below:

Half adder implementation using logic gates

Since NAND is considered as Universal Logic Gate which means that all other logic gates can be derived from it, below is the implementation of a Half Adder circuit using NAND logic gate:

Half adder implementation using NAND gate

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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