Computer Arithmetic Algorithms
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This text explains the fundamental principles of algorithms available for performing arithmetic operations on digital computers. These include basic arithmetic operations like add…
Book Summary
Computer Arithmetic Algorithms by Israel Koren is a comprehensive textbook that explains the fundamental principles of arithmetic operations in digital computers. It covers basic fixed-point and floating-point operations, square root extraction, and evaluation of exponential, logarithmic, and trigonometric functions. The algorithms are technology-independent, making the book valuable for students and professionals in computer engineering and computer science.
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About Computer Arithmetic Algorithms
This textbook provides an in-depth exploration of algorithms for computer arithmetic. It begins with number systems and then covers addition, subtraction, multiplication, and division in both fixed-point and floating-point representations. Advanced topics include square root extraction and the evaluation of elementary functions such as exponential, logarithmic, and trigonometric functions. The algorithms are presented in a technology-independent manner, emphasizing fundamental principles rather than specific hardware implementations. The book includes numerous examples and exercises, making it suitable for a one-semester course. It is a classic reference that bridges the gap between theoretical computer arithmetic and practical algorithm design, offering insights into performance trade-offs and design considerations for arithmetic units.
Who should read Computer Arithmetic Algorithms?
This book is ideal for undergraduate and graduate students in computer engineering, computer science, and electrical engineering who are studying computer arithmetic or digital design. It is also valuable for practicing engineers and researchers involved in the design of arithmetic units, processors, and embedded systems. Additionally, professionals working on numerical algorithms or hardware acceleration will benefit from the clear explanations of fundamental arithmetic algorithms and their trade-offs.
Pros & Cons
Pros
- ✓ Comprehensive coverage of both basic and advanced arithmetic algorithms
- ✓ Technology-independent approach makes concepts timeless and widely applicable
- ✓ Clear explanations with numerous examples and exercises
- ✓ Well-organized structure suitable for classroom use or self-study
- ✓ Authored by a recognized expert in the field
Cons
- ✗ Some algorithms may be considered dated relative to the latest hardware developments
- ✗ Assumes prior knowledge of digital logic and basic computer organization
- ✗ Not a hands-on implementation guide; lacks code examples
- ✗ Limited coverage of emerging arithmetic paradigms like approximate computing
- ✗ Exercises vary in difficulty, with some lacking solutions
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Frequently asked questions
Is this book suitable for self-study?
Yes, the book is written in a clear, pedagogical style with examples and exercises, making it suitable for self-study, though some background in digital logic is helpful.
Does the book cover floating-point arithmetic?
Yes, it covers floating-point addition, subtraction, multiplication, division, and square root, along with rounding and precision issues.
Are the algorithms presented in a specific hardware description language?
No, the algorithms are described in a technology-independent manner, focusing on principles rather than implementation details.
Is this book up-to-date with modern processors?
While the fundamental algorithms remain relevant, some specific implementations may not reflect the latest processor architectures. However, the core concepts are timeless.
Does the book include exercises and solutions?
Yes, each chapter includes exercises, but solutions are not provided in the book, making it more suitable for course adoption.
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