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To Study of Half-Adder using Logic gates and verification with Truth Table.

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Apparatus required:-The following electronics components are required.
  • EX-OR Gate (IC-7486)
  • AND Gate (IC-7408)
  • Digital Trainer KIT
  • Breadboard
  • Connecting wires
Description:-
Adder circuit is a combinational digital circuit that is used for adding two numbers. A typical adder circuit produces a sum bit (denoted by S) and a carry bit (denoted by C) as the output.
The simplest half-adder design, incorporates an XOR gate for S and an AND gate for C. With the addition of an OR gate to combine their carry outputs, two half adders can be combined to make a full adder.
 
Symbol:-
  
 Truth-Table:-
  
 K Map:-
  
 
 Boolean Expression: -
 Inputs are A and B Then S = A’B + AB’ = A ⊕ B and C (Carry) = A.B
 
Procedure to Perform:-
  • Take Digital Trainer KIT including Breadboard, IC 7408 (AND) and IC 7486 (EX-OR) and connecting leads (wires).
  • Insert ICs on the Breadboard.
  • According to pin configuration of ICs perform the connections.
  • Connect VCC (+5V) to pin no.14 and Connect Pin no. 7 to GND of ICs.
  • Make short Pin No 14 of both ICs for VCC and Pin No 7 of both ICs for GND.
  • Provide Input to Pin No 1 and 2 into EX-OR gate and Get Sum from Pin No 3.
  • Make short pin no 1 and 2 of EX-OR to Pin No 1 and 2 of AND Gate and now pin No 3 of AND gate will give the Carry.
  • Connect one gate input connections to the input switches D0 and D1 on Digital IC Trainer KIT for IC (XOR Gate); these are connection for adding the input.
  • Connect same input connections to the input switches D0 and D1 on Digital IC Trainer KIT for IC (AND Gate); these are connection for the Carry.
  • Switch On the Digital IC Trainer KIT.
  • Now Verify after Apply the various combination of Truth table and verify the output at LED's for Half-Adder.
  • One output will check the carry and 2nd output will check the SUM.
  • If output LED glows RED it shows logic high or 1/Carry generated.
  • Switch off the Digital Trainer KIT after performing the Experiment.
Conclusion: - All the output verified the result of Truth Table.
Precaution in lab:-
  •  All the connections should be tight and proper.
  •  Handle the ICs carefully.
  •  Check the connection once again before Switching on the Digital Trainer KIT.
  •  Switch of the Trainer Kit after performing the Experiment.

4 comments:

  1. i want a pdf or doc file of this..:(

    ReplyDelete
  2. I want pics of practicals (connection)on my email. my email is zeeshangyk@gmail.com

    ReplyDelete
  3. I want circuit diagrams of that experiment

    ReplyDelete