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Digital Arithmetic
book

Digital Arithmetic

by Miloš D. Ercegovac, Tomás Lang
September 2003
Intermediate to advanced content levelIntermediate to advanced
709 pages
26h 51m
English
Morgan Kaufmann
Content preview from Digital Arithmetic
MSDF: Online Arithmetic 517
The selection constants
ink'S
are obtained from
A
L k < m k < Uk_ 1
9.63
where
Uk -- [1
- 2 -2 +
k
- 2-2J2 --
k +
2-1
"Lk
--
['--1 + 2 -2
+
k]2 - k - 3 x 2 -2
9.64
So Uk_ 1
--
k-2-1,~k
- k-3 x 2-2, so thatmk - k-2 -1 is acceptable.
Therefore, the selection constants are
_ _2-1 1
mo , ml--2-
9.65
The range of ~[j ] is
7
-2 < ~[j] < -
4
The corresponding selection function
SELM(~[j])
is
9.66
1 A 7
1 if~ <
v[j]<~
1 -"- 1
9.67
Pj+I --
SELM(~[j]) -- 0 if-~ < v [j] <
~- 3
-1 if -2 < v[j] <-~
This selection function has a simple implementation. The assimilated
estimate ...
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Publisher Resources

ISBN: 9781558607989