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Half adder is a combinational circuit,which is used for addtion of two bits.But Full adder is a combinational circuit,which is used for addition of three bits.
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Full Adder. The full-adder circuit adds three one-bit binary numbers (C A B) and outputs two one-bit binary numbers, a sum (S) and a carry (C1). The full-adder is usually a component in a cascade of adders, which add 8, 16, 32, etc. binary numbers.

The half adder is an example of a simple, functional digital circuit built from two logic gates. The half adder adds to one-bit binary numbers (AB). The output is the sum of the two bits (S) and the carry (C). Note how the same two inputs are directed to two different gates.

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