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)

16

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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Datexx 6518206 Performing Logical Calculations, Type of logical calculations and truth tables, Examples, Truth Tables

6518206 specifications

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