Logic Gates
There are
total seven types of gates
·
AND
·
OR
·
NOT
·
NAND
·
NOR
·
Ex-OR
·
Ex-NOR
Primary gates
AND, OR, NOT
are known as primary gates.
Universal Gates
NAND, NOR
are Universal gates. By different combination of these gates we can make any
gate so it’s known as universal gate.
Symbols, Truth Table and Boolean equations of gates.
AND
Symbol
| AND GATE |
|
Truth Table
A
|
B
|
Y
|
0
|
0
|
0
|
0
|
1
|
0
|
1
|
0
|
0
|
1
|
1
|
1
|
Boolean equations
Y=A×B
NAND
Symbol
| NAND GATE |
Truth Table
A
|
B
|
Y
|
0
|
0
|
0
|
0
|
1
|
0
|
1
|
0
|
0
|
1
|
1
|
1
|
Boolean equations
Y=(A×B)'
OR
Symbol
| OR GATE |
Truth Table
A
|
B
|
Y
|
0
|
0
|
0
|
0
|
1
|
1
|
1
|
0
|
1
|
1
|
1
|
1
|
Boolean equations
NOR
Symbol
| NOR GATE |
Truth Table
A
|
B
|
Y
|
0
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
0
|
1
|
1
|
0
|
Boolean equations
Y=(A+B)'
NOT
Symbol
| NOT GATE |
Truth Table
A
|
Y
|
0
|
1
|
1
|
0
|
Boolean equations
Y=A'
Ex-OR
Symbol
| EX OR GATE |
Truth Table
A
|
B
|
Y
|
0
|
0
|
0
|
0
|
1
|
1
|
1
|
0
|
1
|
1
|
1
|
0
|
Boolean equations
Y= A'B+AB'
Ex-NOR
Symbol
| EX NOR GATE |
Truth Table
A
|
B
|
Y
|
0
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
0
|
1
|
1
|
1
|
Boolean equations
Y= A'B'+AB