# Datexx 6518206 User Manual

## Page 9

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 ha ve only two values,
True and False. Truth is represented by a “1” and False is
represented by a “0”.

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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