Full Adder

Full Adder-

 

  • Full Adder is a combinational logic circuit that 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 unlike half adder which can add only two bits.
  • It contains 3 inputs and 2 outputs (sum and carry).

 

 

Designing a Full Adder-

 

Step-01:

 

Identify the input and output variables-

  • Input variables = A , B , Cin (either 0 or 1)
  • Output variables = S , Cout where S = Sum and Cout = Carry

 

Step-02:

 

Draw the truth table-

Inputs
Outputs
ABCinCout (Carry)S (Sum)
00000
00101
01001
01110
10001
10110
11010
11111

Truth Table

 

Step-03:

 

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

 

 

Step-04:

 

Draw the logic diagram-

 

Logic Diagram

 

Here, Full Adder has been implemented using 1 XOR gate, 3 AND gates and 1 OR gate.

 

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Summary
Full Adder
Article Name
Full Adder
Description
Full Adder is a combinational logic circuit that is used for the purpose of adding two single bit numbers with a carry. Full Adder has the ability to perform the addition of three bits unlike half adder. It contains 3 inputs and 2 outputs (sum and carry).
Author
Publisher Name
Gate Vidyalay
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