The document explains the function of adders, which are digital circuits that perform addition, primarily on binary numbers. It details two types of adders: the half adder, which takes two binary digits and outputs their sum and carry, and the full adder, which processes three input bits to generate a sum and carry. Key equations for the sum and carry outputs of both half and full adders are provided.

1. Half And Full
Adder

2. BY: Adeel Rasheed
 For More Information and Slides Visit
https://chauhantricks.blogspot.com/

3. What is Adder
 An adder is a digital circuit that performs addition of
numbers.
 It can be constructed for many numerical
representations, such as binary-coded decimal
 The most common adders operate on binary numbers.

4. Types Of Adder
 Half Adder
 Full Adder

5. Half Adder
 The half adder accepts two binary digits on its
inputs and produce two binary digits outputs
 The half adder adds two single binary digits A and
B.
 It has two outputs, sum (S) and carry (C).
 Sum = AB’+A’B. (XOR Gate)
 Carry=A*B. (AND Gate)

6. Half Adder

7. Full Adder
 A combinational circuit that adds 3 input bits to
generate a Sum bit and a Carry bit
 Where X,Y,Z(Cin) are inputs and C & S are
outputs.
 Sum= X+Y+Z.
 Cout= XY’+YZ’+ZX’.

8. Full Adder

9. Full Adder

10. In Processor