1.Fundamental gate:
AND gate gives the true values when all inputs are true otherwise false.
Truth Table :
Truth Table:
Logical Diagram:
NOT gates gives the true value if input and vice-versa.
Truth Table:
Logical Diagram:
NAND gate is a combination of AND and NOT gate.
Truth Table:
Logical Diagram:
5.NOR:
NOR gate is a combination of NOT and OR gates.
Truth Table:
Logical Diagram:
6.XOR :
XOR gate is a combination of OR,AND and NOT gates.
If both values are false ,otherwise true.
Truth Table:
Logical Diagram:
7.XNOR:
XNOR gate gives the true value ,if inputs sets are ,otherwise false.
Truth Table:
- AND gate
- OR gate
- NOR gate
- NAND gate
- NOR gate
- XOR gate
- XNOR
Definition:-The logical diagram which takes inputs and perform its specified operation (logical operation) and throws its throughput called logical gate it is smallest unit of logical circuit .
1.AND gate:
Truth Table :
A
|
B
|
A.B
|
0
|
0
|
0
|
0
|
1
|
0
|
1
|
0
|
0
|
1
|
1
|
1
|
Logical Diagram:
2.OR gate:
OR gate gives the true value,if at least one of the input value is true otherwise false.Truth Table:
A
|
B
|
A+B
|
0
|
0
|
0
|
0
|
1
|
1
|
1
|
0
|
1
|
1
|
1
|
1
|
Logical Diagram:
3.NOT gate:
Truth Table:
A
|
A'
|
1
|
0
|
0
|
1
|
Logical Diagram:
4.NAND:
Truth Table:
A
|
B
|
A.B
|
(A.B)'
|
0
|
0
|
0
|
1
|
0
|
1
|
0
|
1
|
1
|
0
|
0
|
1
|
1
|
1
|
1
|
0
|
5.NOR:
Truth Table:
A
|
B
|
A+B
|
(A.B)'
|
0
|
0
|
0
|
1
|
0
|
1
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
1
|
1
|
0
|
6.XOR :
XOR gate is a combination of OR,AND and NOT gates.
If both values are false ,otherwise true.
Truth Table:
A
|
B
|
B'
|
A.B'
|
A'
|
A'.B
|
Z=(A.B'+A'.B)
|
0
|
0
|
1
|
0
|
1
|
0
|
0
|
0
|
1
|
0
|
0
|
1
|
1
|
1
|
1
|
0
|
1
|
1
|
0
|
0
|
1
|
1
|
1
|
0
|
0
|
0
|
0
|
0
|
Logical Diagram:
7.XNOR:
XNOR gate gives the true value ,if inputs sets are ,otherwise false.
Truth Table:
  |
 |