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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
Linear Convergence Method 581
Selection by Rounding for (Very) High Radices
Convergence to 1 permits selection by rounding and therefore a high-radix al-
gorithm. However, in the first iterations selection by rounding is not possible, so
that an initial approximation of 1/x by other means is required. This can be done
by table lookup or by a linear approximation (see Section 7.1.3).
In selection by rounding, the digit is obtained by rounding the carry-save
residual (truncated to fractional bit t). Calling this truncated residual G[j ], we
get
The next residual is then
Since
L lj
ss-
U]+j
( L 1j )
w[j+l]--r w[j]-
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Publisher Resources

ISBN: 9781558607989