**Half Adder-**

Before you go through this article, make sure that you have gone through the previous article on **Half Adder**.

We have discussed-

- Half Adder is used for the purpose of adding two single bit numbers.
- Half adders have no scope of adding the carry bit resulting from the addition of previous bits.
- To overcome this drawback, full adder comes into play.

In this article, we will discuss about Full Adder.

**Full Adder-**

- Full Adder is a combinational logic circuit.
- It is used for the purpose of adding two single bit numbers with a carry.
- Thus, full adder has the ability to perform the addition of three bits.
- Full adder contains 3 inputs and 2 outputs (sum and carry) as shown-

**Full Adder Designing-**

Full adder is designed in the following steps-

**Step-01:**

Identify the input and output variables-

- Input variables = A, B, C
_{in }(either 0 or 1) - Output variables = S, C
_{out}where S = Sum and C_{out}= Carry

**Step-02:**

Draw the truth table-

Inputs | Outputs | |||

A | B | C_{in} | C_{out} (Carry) | S (Sum) |

0 | 0 | 0 | 0 | 0 |

0 | 0 | 1 | 0 | 1 |

0 | 1 | 0 | 0 | 1 |

0 | 1 | 1 | 1 | 0 |

1 | 0 | 0 | 0 | 1 |

1 | 0 | 1 | 1 | 0 |

1 | 1 | 0 | 1 | 0 |

1 | 1 | 1 | 1 | 1 |

**Truth Table**

**Step-03:**

Draw K-maps using the above truth table and determine the simplified Boolean expressions-

**Also Read-** **Full Subtractor**

**Step-04:**

Draw the logic diagram.

The implementation of full adder using 1 XOR gate, 3 AND gates and 1 OR gate is as shown below-

To gain better understanding about Full Adder,

**Next Article-** **Half Subtractor**

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Summary

Article Name

Full Adder | Definition | Circuit Diagram | Truth Table

Description

Full Adder is a combinational logic circuit used for the purpose of adding two single bit numbers with a carry. Full Adder Definition, Block Diagram, Truth Table, Circuit Diagram, Logic Diagram, Boolean Expression and Equation are discussed. Full Adder overcomes the limitation of Half Adder.

Author

Akshay Singhal

Publisher Name

Gate Vidyalay

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