Adders in Digital Logic

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Definition of Half Adder

A half adder is a logic circuit that adds two bits. It generates two outputs: SUM and CARRY. The boolean equations for SUM and CARRY are:

Equation

SUM = A ⊕ B = A'B + AB'
CARRY = A . B

Truth Table

ABCARRYSUM
0000
0101
1001
1110

Following is the logic circuit diagram for half adder:

Circuit Diagram








Definition of Full Adder

A full adder is a logic circuit that adds three bits. It generates two outputs: SUM and CARRY.

Equation

SUM = A ⊕ B ⊕ C = (A'B'C + A'BC' + AB'C' + ABC)
CARRY = AB + BC + CA

Truth Table

ABCCARRYSUM
00000
00101
01001
01110
10001
10110
11010
11111

Circuit Diagram



Location: Asansol, West Bengal, India

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