6.7.25

Full Adder

Full Adder Truth Table and Implementation

Truth Table

A B Cin Sum (S) Cout
0 0 0 0 0
0 0 1 1 0
0 1 0 1 0
0 1 1 0 1
1 0 0 1 0
1 0 1 0 1
1 1 0 0 1
1 1 1 1 1

Implementation using Logic Gates

  • Sum (S) = A XOR B XOR Cin
  • Cout = (A AND B) OR (A AND Cin) OR (B AND Cin)

Logic Gate Diagram

  • Two XOR gates for Sum (S)
  • Three AND gates and one OR gate for Cout

Full Adder Circuit

  • Inputs: A, B, and Cin
  • Outputs: Sum (S) and Cout

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