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Engineering Digital Design
book

Engineering Digital Design

by Richard F. Tinder
January 2000
Intermediate to advanced content levelIntermediate to advanced
884 pages
29h 39m
English
Academic Press
Content preview from Engineering Digital Design
62 CHAPTER 2 / NUMBER SYSTEMS, BINARY ARITHMETIC, AND CODES
Therefore, at the end of four iterations the quotient is
Q = D
D
k
0
k
1
k
2
k
3
=0.1011111111111111010
2
=0.75
10
after rounding.
In 32-bit FPN notation the quotient Q would be given as

0
S
01111111

E
011111111111111010 ···00

M
,
where the most significant 1 bit in the mantissa M has been omitted in agreement the IEEE
normalized FPN notation discussed in Section 2.8.
In the simple example just given the value of α was determined by the value of D
S
.
Because this is a quadratic convergence algorithm, the process starts off slowly, particu-
larly if the divisor is close to
1
2
. The division calculations ...
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Publisher Resources

ISBN: 9780126912951