Truth Tables
AND
INPUT
OUTPUT
A
B
X
1
1
1
1
0
0
0
1
0
0
0
0
OR
INPUT
OUTPUT
A
B
X
1
1
1
1
0
1
0
1
1
0
0
0
XOR, XNOR
INPUT
OUTPUT
A
B
X OR X NOR
1
1
0
1
1
0
1
0
0
1
1
0
0
0
0
1
NOT
INPUT
OUTPUT
A
X
1
0
0
1
17
Performing Logical Calculations
Logical Calculations are performed with Boolean Algebra.
Variables in logical calculations ha ve only two values,
True and False. Truth is represented by a “1” and False is
represented by a “0”.
For Octal or Hexadecimal calculations,
the values are converted to Octal or Hexadecimal.
Type of logical calculations and truth tables
AND
:
Product of propositions
Produces 1 when all input values are 1.
OR
Sum of propositions
Produces 1 when one or more input values are 1.
XOR
Exclusive Sum of propositions
Produces 0 when all input values are either 1 or 0. (Other
cases acts as an OR)
XNOR
Exclusive sum of propositions
Combination of XOR and NOT
NOT
Negation
Produces the opposite value of the Input.
Examples:
1100 AND 1010 =
(1000.)
1100 OR 1010 =
(1110.)
1100 XOR 1010 =
(110)
16
