August 18, 2012
To verify the De-Morgan theorem with truth-table.
Apparatus required:-The following electronics components are required.
•AND Gate (IC-7408)
•OR Gate (IC-7432)
•NOT Gate (IC-7404)
•Digital IC Trainer KIT
•LED
•Breadboard
•Connecting wires
Description:-
De-Morgan’s first theorem states that 'the complement of a sum is equal to the product of Complements'.
Bar (A+B) = Bar (A.B)
NOR gate = Bubbled AND gate
De-Morgan's second theorem states that 'the complement of a product is equal to the sum of the complements'.
Bar (A.B) = Bar (A+B)
NAND gate = Bubbled OR gate
Symbol:-
Truth-table for theorem 1:-
Truth-table for theorem 2:-
Circuit Diagram for Theorem 1:-
Circuit Diagram for Theorem 2:-
Procedure to Perform:-
•Take Digital Trainer KIT including Breadboard, ICs and connecting leads (wires).
•Insert ICs on the Breadboard.
•According to pin configuration of IC perform the connections.
•Connect VCC (+5V) to pin no.14 and Connect Pin no. 7 to GND of IC.
•Apply different input and observe output at LED.
•Verify the output according truth-table.
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.
•AND Gate (IC-7408)
•OR Gate (IC-7432)
•NOT Gate (IC-7404)
•Digital IC Trainer KIT
•LED
•Breadboard
•Connecting wires
Description:-
De-Morgan’s first theorem states that 'the complement of a sum is equal to the product of Complements'.
Bar (A+B) = Bar (A.B)
NOR gate = Bubbled AND gate
De-Morgan's second theorem states that 'the complement of a product is equal to the sum of the complements'.
Bar (A.B) = Bar (A+B)
NAND gate = Bubbled OR gate
Symbol:-
Truth-table for theorem 1:-
Truth-table for theorem 2:-
Circuit Diagram for Theorem 1:-
Circuit Diagram for Theorem 2:-
Procedure to Perform:-
•Take Digital Trainer KIT including Breadboard, ICs and connecting leads (wires).
•Insert ICs on the Breadboard.
•According to pin configuration of IC perform the connections.
•Connect VCC (+5V) to pin no.14 and Connect Pin no. 7 to GND of IC.
•Apply different input and observe output at LED.
•Verify the output according truth-table.
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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Helpful.
ReplyDeleteThank you its really works but here theorem 1 and 2 are interchanged in truthtable and symbol in theory part
ReplyDeleteawesome bro really thanks
ReplyDeleteDear sir plzz help the how to proove it
ReplyDelete