Half Adder:-
The half adder is a digital circuit that adds two binary digits called as AUDEND & ADDEND and produces two outputs as SUM & CARRY. XOR gate is applied to both inputs to produce SUM and OR gate is applied to both inputs to produce CARRY.

Here, it must be kept in mind that a Half Adder adds only two single digit binary numbers. Thus we can get a total of four different addition operations which are:


From this table, it is clear that the CARRY is not involved in further addition process, if it is so, we’ll have to use two serially connected Half Adders or legally speaking, we’ll have to use a Full Adder.

Circuit of a Half Adder:-


Truth Table of a Half Adder: