Experiment No. 4 bsc.3rd semester
Object
To verify NAND gate as a universal gate .
Apparatus Required
Trainer board connecting wires DC power
supply .
Theory
We can create any logical Boolean expression for any
other gates ( such as NOT , OR , AND gate ) by using NAND gate therefore NAND
is also called Universal Gate .
1.
NAND
gate as NOT gate
NOT gate can be implemented using NAND
gate as the Boolean expression for NOT gate .
Y = Ᾱ
Truth table
|
Input |
Output |
|
A |
Y = Ᾱ |
|
0 |
1 |
|
1 |
0 |
2.
NAND
gate as OR gate
OR gate can be implemented using NAND gate .
By De – Morgan ‘ s Law
1.
A bar . B
bar = A bar + B bar
2.
A bar . B
bar = A bar + B bar
Y
= A bar . B bar = A bar + B bar
Y
= A +B
Truth table
|
Input |
Output |
||
|
A |
B |
Y = A .B ( Bar ) |
|
|
0 |
0 |
0 |
|
|
0 |
1 |
1 |
|
|
1 |
0 |
1 |
|
|
1 |
1 |
1 |
|
3. NAND gate as
AND gate
AND Gate can be implemented using NAND gate .
Truth Table
|
Input |
Output |
||
|
A |
B |
Y = A .B ( Bar ) |
|
|
0 |
0 |
0 |
|
|
0 |
1 |
0 |
|
|
1 |
0 |
0 |
|
|
1 |
1 |
1 |
|
Observation
1.
Truth table for
NOT Gate implemented by using NAND Gate .
|
Input |
Output |
|
A |
Y = Ᾱ |
|
0 |
1 |
|
1 |
0 |
2.
Truth table for
OR gate implemented by using NAND Gate
|
Input |
Output |
||
|
A |
B |
Y = A + B |
|
|
0 |
0 |
0 |
|
|
0 |
1 |
1 |
|
|
1 |
0 |
1 |
|
|
1 |
1 |
1 |
|
3.
Truth table for
AND gate implemented by using NAND Gate .
|
Input |
Output |
||
|
A |
B |
Y = A .B |
|
|
0 |
0 |
0 |
|
|
0 |
1 |
0 |
|
|
1 |
0 |
0 |
|
|
1 |
1 |
1 |
|
Result
NAND Gate as a universal gate is verified .
Precautions
1.
Connection should
be right and proper .
2.
Switch ‘ON’ the
power after completing the circuit .
3. Carefully read the logic ‘High’ and logic ‘low’ conditions.
Note.
(Please note: if a particular experiment is not visible, please search for it using the search box—for example, Experiment No. 5. (To verify NOR gate as universal gate .
कृपया ध्यान दीजिये अगला एक्सपेरिमेंट न दिख रहा हो वो आप सर्च बॉक्स में सर्च कर लीजिये . जैसे , एक्साप्रिमेंट नंबर.5 या फिर (To verify NOR gate as universal gate .