September 2003
Intermediate to advanced
709 pages
26h 51m
English
Content preview from Digital Arithmetic
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xii Contents
7.4
7.5
7.6
7.7
7.8
7.3.1 Newton-Raphson Method 381
7.3.2 Multiplicative Normalization Method 382
7.3.3 Implementation and Error Issues 383
Example of Implementation of Division and Square Root
Concluding Remarks 385
Exercises 387
Further Readings 391
Bibliography 392
383
CHAPTER
8
Floating-Point Representation, Algorithms, and
Implementations
397
8.1 Floating-Point Representation 397
8.1.1 Significand, Exponent, and Base 398
8.1.2 Advantage: Dynamic Range 398
8.1.3 Disadvantages: Less Precision, Roundoff Error,
and Complex Implementation 399
8.1.4 Range of Significand and Unit in the
Last Position (ulp) 400 ...
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