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To Study of Full-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)
  • OR Gate (IC-7432)
  • 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.
 A full adder is a combinational circuit that forms the arithmetic sum of input; it consists of three inputs and two outputs. A full adder is useful to add three bits at a time but a half adder cannot do so. In full adder sum output will be taken from X-OR Gate, carry output will be taken from OR Gate
 
Symbol:-
 
 
 
K-Map for SUM:
SUM = A’B’C + A’BC’ + ABC’ + ABC
 
  
 
K-Map for CARRY:
CARRY = AB + BC + AC
  
 
Truth-Table:-
  
Boolean Expression: -
Inputs are A and B and Cin Then S = A⊕ B⊕ Cin and Out (Cout)= AB+AC+BC
 
Procedure to Perform:-
  • Take Digital Trainer KIT including Breadboard, IC 7408 (AND), IC 7432 (OR) 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.
  •  Provide first and Second input to pin no 1 and 2 to EX-OR and make short output (pin no-3) of EX-OR to pin no 4 and provide the third input to pin no.5, now pin no.6 will give the SUM of three inputs.
  •  Make short the pin no 1 and 2 of EX-OR to pin no. 1 and 2 of AND gate, now output from pin no 3 will first input to OR gate.
  •  Make short pin no 4 and 5 of EX-OR to pin no 4 and 5 of AND gate, now output from pin no 6 will second input of OR gate.
  •  OR gate will give output as Carry.
  •  Connect the Input connections to the input switches D0, D1, D3 for the ICs on Digital IC Trainer KIT.
  •  Connect Output connections to the LED 1 and LED 2 of Digital IC Trainer KIT.
  •  Switch On the Digital IC Trainer KIT.
  •  Now Verify after Apply the various combination of Truth table and verify the output at LEDs for Full-Adder.
  •  If output LED glows GREEN it shows logic Low or 0.
  •  If output LED glows RED it shows logic HIGH or 1.
  •  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.

3 comments:

  1. Anonymous02 July, 2014

    Include theory of experiment

    ReplyDelete
  2. Anonymous02 July, 2014

    Please Include theory of experiment

    ReplyDelete
  3. Anonymous02 July, 2014

    Please Include theory of experiment

    ReplyDelete