September 2003
Intermediate to advanced
709 pages
26h 51m
English
Content preview from Digital Arithmetic
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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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