2 Bit Addition

s = a . b’ + a’ . bc = a . b

3 Bit Addition

Full Adder

Full Adder

Example 1

Example 1

Example 1

Example 2

Example 2

Example 2

Example 3

Example 3

Example 3

Example 4

Example 4

Example 4

Carry in

Carry out

4-Bit Binary Adder

n-Bit Binary Adder

8-Bit Binary Adder using 4-bit Adder Modules

16-Bit Binary Adder using 8-bit Adder Modules

A = {A3 , A2 , A1 , A0} = {{a15, … , a12}, {a11, … , a8}, {a7, … , a4}, {a3, … , a0}}B = {B3 , B3 , B1 , B0} = {{b15, … , b12}, {b11, … , b8}, {b7, … , b4}, {b3, … , b0}} S = {S3 , S3 , S1 , S0} = {{s15, … , s12}, {s11, … , s8}, {s7, … , s4}, {s3, … , s0}}

16-Bit Binary Adder using 4-bit Adder Modules