Question

Show how the sum of two five-bit integers can be found using full and half adders.

Short answer

So, this shows that the sum of two five-bit integers can be found using full and half adders.

Step-by-step solution

Defining of gates

There are three types of gates.

It is also called NOT gate.

Construct a circuit

As the sum of two five-bit integers using full and half adders. Here is the \({{\rm{S}}_{\rm{i}}}\) sum of the integers that will be carried to the next adder by \({{\rm{C}}_{\rm{i}}}\).Again do this process \({{\rm{x}}_{{\rm{i + 1}}}}{\rm{,}}{{\rm{y}}_{{\rm{i + 1}}}}\)will be added to the \({{\rm{C}}_{\rm{i}}}\)and displayed at \({S_{i + 1}}\)which is also carried to the next full adder by\({C_{i + 1}}\).

Therefore, the result is

Hence, this shows that sum of two five-bit integers can be found using full and half adders.