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# How does Half Adder work with the truth table?

How does Half Adder work with the truth table? Half Adder is a combinational logic circuit that adds two binary digits i.e 0 and 1.Combinational circuits are half adder and full adder, subtractor, encoder, decoder, multiplexer, and demultiplexer.

#### What is Combinational Logic Circuits

• The output of a combinational circuit at any instant of time depends only on the levels present at input terminals.
• The combinational circuit does not use any memory. The previous state of input does not have any effect on the present state of the circuit.
• A combinational circuit can have an n number of inputs and an n number of outputs.

The block diagram is shown below in which A and B two inputs and S(Sum) and C(Carry) are outputs.

• Half Adder is a combinational logic circuit.
• It is used for the purpose of adding two single-bit numbers.
• It contains 2 inputs and 2 outputs (sum and carry).

Keep in mind Half Adder is Combinational logic circuit whose output at any instant in time depends only on the combination of its inputs. Unlike Sequential Logic Circuits whose outputs are dependent on both their present inputs and their previous output state giving them some form of Memory.

The addition of 2 bits is done using a combination circuit called a Half adder. The input variables are augend and addend bits and the output variables are sum & carry bits. A and B are the two input bits.

There are two inputs and two outputs in a Half Adder. Inputs are named as A and B, and the outputs are named as Sum (S) and Carry (C). The Sum is X-OR of the input A and B. Carry is AND of the input A and B. With the help of a half adder, one can design a circuit that is capable of performing simple addition with the help of logic gates.