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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
48 CHAPTER 2 / NUMBER SYSTEMS, BINARY ARITHMETIC, AND CODES
to the BCD magnitude according to Eq. (2.11). Thus,
0101 1001.0010 0100)
BCD
= (1 01011001.0010 0100)
BCD,2SM
.
2.6.3 Diminished Radix Complement Representation
The diminished radix complement N
(r1)C
of a number N
r
having n digits is obtained by
N
(r1)C
= r
n
N
r
1, (2.15)
where, according to Eq. (2.12), N
(r1)C
+ 1 = N
rC
. Therefore, it follows that
N
(r1)C
=
¯
N
r
.
This means the diminished radix complement of a number is the digits complement of
that number as expressed by Algorithm 2.7. The range of representable n digit numbers in
diminished radix complement is (r
n1
1) through +(r
n1
1) for radix ...
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Publisher Resources

ISBN: 9780126912951