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M o d e l
Service
NEGATIVE
Alternatively, by assigning the relationship
L=l
at both input and output, Device
can
perform the OR function and Device
can perform the AND function. Such
a
consistent
assignment
i s
referred to as negative logic. The corresponding logic symbols would be:
DEVICE
DEVICE
8-22. MIXED LOGIC. The use of the polarity indicator symbol
automatically invokes a
mixed-logic convention. This is, positive logic is used at t h e i n p u t and outputs that d o n o t have
polarity indicators, negative logic
i s
used at the inputs and outputs that have polarity indicators.
EXAMPLE
6
EXAMPLE
7
FUNCTION
T A B L E
FUNCTION TABLE
H
L
This may be shown either of two ways:
This may be shown either of two ways:
Note the equivalence of these symbols to ex-
Note the equivalence of these symbols to ex-
amples
and
2
and the fact that the function
amples
3
and
and the fact that the funcion
table
is a
positive-logic translation
L=O
table
i s
a positive-logic translation
of the NAND truth table, and also note that the
of the NOR truth table, and
note that the
function table
i s
the negative-logic translation
function table
is
the negative-logic translation
of the NOR truth table, given in
of the NAND truth table, given in
Example
3.
Example
1 .
8-23.
It
should b e noted that
can easily convert f r o m thesymbology of positive-logic merely
b y substituting a polarity indicator
for each negative indicator
while leaving the
distinctive shapes alone. T o convert f r o m t h e symbology of negative logic, a polarity indicator
is substituted for each negation indicator
(
o )
and the
OR
shape
i s substituted for t h e A N D
shape o r vice versa.
8-24.
It
was shown that any device that can p e r f o r m
OR
logic can also perform
AND
and vice versa. D e Morgan's transformation i s illustrated
in Examples
1
through
7.
The rules o f
the transformation are:
1.
A t each input o r output having a negation
o r polarity
indicator, delete t h e
indicator.
2.
A t each i n p u t or output n o t having an indicator, add a negation
o r polarity
indicator.
3.
Substitute t h e A N D symbol
for t h e
OR
symbol
o r vice versa.
These steps d o n o t alter the assumed convention; positive-logic stays positive,
logic stays negative, and mixed-logic stays mixed.
L
L
H
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