N E G A T I O N - HP 5363B Operating And Service Manual

EQUIVALENT
SYMBOLS
EQUIVALENT
SYMBOLS
8 - 38 .

N e g a t i o n

I n l o g i c sym b o l og y , t h e p r e s e n c e of t h e n e g a t i o n i n d i c a t i o n s y m b o l 0 p r o v i d e s f o r t h e
8-39.
re p re s e n ta t i o n o f t h e l o g i c f u n c t i o n i n p u ts a n d o u t p u ts i n te rms i n d e pe n d e n t o f t h e i r p h ys i c a l
va l u e s : t h e O-state o f t h e i n p u t a n d o u t p u t bei n g t h e i -state o f t h e sym b o l refe rred t o b y t h e
sy m b ol d e s c r i pt i o n .
In t h i s m a n u a l the l o g i c n e g a t i o n s y m b o l i s NOT u sed .
1
EXA M P L E
EXAMP L E 2
:� z
A B V
T R UT H T A B L E
Y i s true i f a n d o n ly
,
, ,
g ne ra l ly, i f a l l i n puts a re true ' .
, 0 0
=
0 , 0 Y 1 if a n d o n l y
0 0 0
Y = A · B
A B V
T R U T H TABLE
Y i s true if a n d o n l y if
, , ,
g e n e ral l y , if o n e or m o re i n pu t l s · is
, 0 ,
1
,
0 ,
Y = i f a n d o n l y i f A
0 0 0
Y = A + B
O
N T E
A B Z
T R U T H TABLE
Says that Z i s not true
,
, 0
Z is true if A a n d B a re not both t r u e . Z
B.
, 0 ,
+
T h i s i s f re q uently referred to as N A N D
, ,
0
A N D ! .
0 ,
0
A B
T R U T H TABLE
Z
Says that Z i s t r u e i f A i s n ot true o r i f B i s n o t true. Z =
A B.
, , 0
+ Note that t h i s t ruth table is identi cal to that of
,
, 0
Example 1 . This logic equ ation is merely a DeMorgan's
0 , ,
transformat i o n of the equations i n Exa m p le 1 . The
0 ,
0
symbols are e q uivalent.
if
A is true a n d B is true l or m o re
i f
A = 1 a n d B = 1 .
A
is true or B is true l o r m o re
I I
are t rue
1 or B = 1
A
if
is tru e a n d B is true or t h at
=
AB or Z
I
for N O T
M o d e l 5 3 6 3 B
S e rv i c e
I .
A
=
8 - 7