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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
22 ~i~ ~.~ i~ ~ ~i~i ~ :~ Review of Basic Number Representations and Arithmetic Algorithms
n =4 C =24
X= 1011 xR=ll x =-5
Y=0101 yR=5 y =5
W -- 10000 wR -- 16
Z = 0000 zR = 0 z = 0
n =8 C =2 s
X = 11011010 xR = 218 x = -38
Y = 11110001 yR = 241 y = -15
W = 111001011
WR
-- 459
Z = 11001011 zR = 203 z = -53
Ones" Complement System
We now consider the mod operation in the ones' complement system. In this
system the complementation constant is 2 n - 1. To perform z R = wR mod (2 n - 1)
consider the following three cases:
1. IfwR <
2 n --
1, then wR mod
(2 n --
1) = wR and ...
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Publisher Resources

ISBN: 9781558607989