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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
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Performing Logical Calculations
Logical Calculations are performed with Boolean Algebra.
Variables in logical calculations have 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)
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