August 14, 2012
To Study of Half-Adder using Logic gates and verification with Truth Table.
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.
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i want a pdf or doc file of this..:(
ReplyDeleteits just perfect..,,thnx..
ReplyDeleteI want pics of practicals (connection)on my email. my email is zeeshangyk@gmail.com
ReplyDeleteI want circuit diagrams of that experiment
ReplyDelete