The following Truth Table compares
the logical functions of the 2-input logic gates:
Inputs
|
Truth Table Outputs for each Gate
|
||||||
A
|
B
|
AND
|
NAND
|
OR
|
NOR
|
EX-OR
|
EX-NOR
|
0
|
0
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
0
|
1
|
1
|
0
|
1
|
0
|
1
|
0
|
0
|
1
|
1
|
0
|
1
|
0
|
1
|
1
|
1
|
0
|
1
|
0
|
0
|
1
|
The following table gives a list of
the common logic functions and their equivalent Boolean notation:
Logic Function
|
Boolean Notation
|
AND
|
A.B
|
OR
|
A+B
|
NOT
|
A
|
NAND
|
A.B
|
NOR
|
A+B
|
EX-OR
|
(A.B) + (A.B) or A⊕B
|
EX-NOR
|
(A.B) + or A ⊕ B
|
