Full Adder

For three bit additions, full adder is used. First step in designing the full Adder circuit is to have truth table. Before that let see the binary addition rules.

Truth Table for Full Adder

Using the k-map, we can get the optimised Boolean expression for sum and carry.
Boolean expression for sum

Boolean Expression for carry

From the above booleaan expression , we can Implement of sum and carry as shown below

Full Adder