[EBOOK]Synthesis.of.Arithmetic.Circuits.FPGA.ASIC.and.Embedded.Systems

rachel0131

Wiley.Interscience.

<Synthesis.of.Arithmetic.Circuits.FPGA.ASIC.and.Embedded.Systems>

PDF

Preface xvii
About the Authors xix
1 Introduction 1
1.1 Number Representation, 1
1.2 Algorithms, 2
1.3 Hardware Platforms, 2
1.4 Hardware–Software Partitioning, 3
1.5 Software Generation, 3
1.6 Synthesis, 3
1.7 A First Example, 3
1.7.1 Specification, 3
1.7.2 Number Representation, 6
1.7.3 Algorithms, 6
1.7.4 Hardware Platform, 8
1.7.5 Hardware–Software Partitioning, 8
1.7.6 Program Generation, 9
1.7.7 Synthesis, 10
1.7.8 Prototype, 12
1.8 Bibliography, 14

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2 Mathematical Background 15
2.1 Number Theory, 15
2.1.1 Basic Definitions, 15
2.1.2 Euclidean Algorithms, 17
2.1.3 Congruences, 19
2.2 Algebra, 25
2.2.1 Groups, 25
2.2.2 Rings, 27
2.2.3 Fields, 27
2.2.4 Polynomial Rings, 27
2.2.5 Congruences of Polynomial, 32
2.3 Function Approximation, 35
2.4 Bibliography, 36
3 Number Representation 39
3.1 Natural Numbers, 39
3.1.1 Weighted Systems, 39
3.1.2 Residue Number System, 42
3.2 Integers, 42
3.2.1 Sign-Magnitude Representation, 42
3.2.2 Excess-E Representation, 43
3.2.3 B’s Complement Representation, 44
3.2.4 Booth’s Encoding, 47
3.3 Real Numbers, 51
3.4 Bibliography, 54
4 Arithmetic Operations: Addition and Subtraction 55
4.1 Addition of Natural Numbers, 55
4.1.1 Basic Algorithm, 55
4.1.2 Faster Algorithms, 57
4.1.3 Long-Operand Addition, 66
4.1.4 Multioperand Addition, 67
4.1.5 Long-Multioperand Addition, 70
4.2 Subtraction of Natural Numbers, 71
4.3 Integers, 71
4.3.1 B’s Complement Addition, 71
4.3.2 B’s Complement Sign Change, 72
4.3.3 B’s Complement Subtraction, 74

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5 Arithmetic Operations: Multiplication
6 Arithmetic Operations: Division
7 Other Arithmetic Operations
8 Finite Field Operations
9 Hardware Platforms
10 Circuit Synthesis: General Principles
11 Adders and Subtractors
12 Multipliers
13 Dividers
14 Other Arithmetic Operators
15 Circuits for Finite Field Operations
16 Floating-Point Unit

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rachel0131 发表于 2007-4-2 15:09

                               
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