Explore the design and implementation of full adder circuits, fundamental components in digital arithmetic. This guide explains the functionality of full adders, their Boolean algebra representation, simplification using Karnaugh maps (K-maps), and their construction using logic gates. Learn how to design and implement half adder and full adder circuits using NAND and NOR gates. Half adder adds two bits and full adder adds three bits with carry input and output. Full adder Introduction Full adder is developed to overcome the drawback of Half Adder circuit. It can add two one-bit numbers A and B, and carry c. The full adder is a three-input and two output combinational circuit. Block diagram Truth table Circuit diagram Full adder from 2 half adder Full Adder is a combinational circuit that adds three inputs and produces two outputs. The first two inputs are A and B and the third input is an input carry as C-IN. The output carry is designated as C-OUT and the normal output is designated as S which is SUM.
