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Engineering Digital Design
book

Engineering Digital Design

by Richard F. Tinder
January 2000
Intermediate to advanced content levelIntermediate to advanced
884 pages
29h 39m
English
Academic Press
Content preview from Engineering Digital Design
2.8 FLOATING-POINT NUMBER SYSTEMS 49
2.7 EXCESS (OFFSET) REPRESENTATIONS
Other systems for representing negative numbers use excess or offset (biased) codes. Here,
a bias B is added to the true value N
r
of the number to produce an excess number, N
xs
,
given by
N
xs
= N
r
+ B. (2.16)
When B = r
n1
exceeds the usable bounds of negative numbers, N
xs
remains positive.
Perhaps the most common use of the excess representation is in floating-point number sys-
tems the subject of the next section. The biased-weighted BCD code, XS3, was discussed
in Subsection 2.4.1.
Two examples of excess 127 representation are given below.
Example 2.18
43
10
11010101 N
2’s Compl.
+127
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Publisher Resources

ISBN: 9780126912951