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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
300 c H ApT E R 5
Division by Digit Recurrence
1 l
(redundant)
REDUNDANT ADDER
w[j +
1] I
(redundant)
(a)
t
WS X X X. X X X X X X X'~
WC X X X. X X X X X X
- +
+.+++ ++\++
\
rwIj]
Y Y Y. YYY
- +
+.+++
O_<e <_ 2-t+l-ulp
(truncation error)
(estimate)
t
X X X. X X X X X X X X)
+ + +'+ ++. ++~N~
Y Y Y. YYY
+ + +.+++
rw[j]
-(2-t-ulp) _< ~ <_ 2-t-ulp
(truncation error)
(estimate)
(b) (e)
FIGURE 5,28
Use of redundant adder: (a) Redundant adder. (b) Carry-save case. (c) Signed-
digit case.
A A
for the region in which rnk can be located we use U and L located on the grid.
That is,
A A A A
max(Lk(di) ...
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Publisher Resources

ISBN: 9781558607989