Binary Adders are the Combinational logic circuits used to perform the addition of the two binary digits.An adder is performs addition of numbers.
HALF ADDER
A combinational logic circuit that computes the addition of two binary digits is called as a Half Adder.
A half adder has two inputs and two outputs.Input A is called as the addend, Input B is called as the augend.The two outputs are S(sum) and C(carry)
Operation
The half adder is an arithmetic circuit that performs the addition of two binary digits using the rules of binary addition.
Drawback
When we add A0 and B0, the half adder produces output as sum S0 and Carry C0. However, for the addition of the next bit we need to add three bit A1,B1 and previous carry C0.
It is not possible to add three bits with the help of a half adder i.e half adder are not suitable for multi byte addition.
Hence,half adders are not used in practice. Full adder are used in order to overcome of half adder.
Application
The ALU of a computer uses half adder to compute the binary addition operation on two bits.
Half adder is used to make full adder.
FULL ADDER
A Combinational logic circuit that computes the addition of three binary digits is called as a Full Adder.
A full-adder has three input and two output.
Operation
The full adder is an arithmetic circuit that performs the addition of three binary digits. i.e. the full adder adds the bits A and B along with previous carry Cin and produces outputs S(sum) and Cout (carry).
Application
Arithmetic Logic Unit of a computer uses full adders to compute binary addition
Ripple ahead carry adder.
Digital calculators for performing arithmetic addition.
DSP and Networking system.
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