Half Adder and Full Adder using Gates

HALF ADDER AND FULL ADDER USING GATES

AIM:

To realize the arithmetic circuits half adder and full adder using

  1. NAND and XOR gates
  2. NAND gates only
MATERIALS AND TOOLS REQUIRED:

IC 7400, 7486, digital training kit, power supply

THEORY:

A half adder takes in two 1-bit numbers, and adds them.. It has two inputs A and B and two outputs: Sum and Carry.

          The full adder circuit is used for multi bit addition. Here the carry from previous addition is also included. Thus there are three input terminals A,B, C and two outputs sum and carry. The expressions for sum and carry outputs are,

Circuit Diagram:

PROCEDURE:

Test the ICs using digital IC tester. Set up the circuits of half adder and full adder using NAND and EXOR gates and verify the truth table.

RESULT:

Half adder and full adder circuits are realized using NAND and XOR gates and the truth tables are verified.

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