Digital Arithmetic (Hardcover)

Miloš D. Ercegovac, Tomás Lang

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商品描述

Digital arithmetic plays an important role in the design of general purpose digital processors and of embedded systems for signal processing, graphics and communications. In spite of a mature body of knowledge in digital arithmetic, each new generation of processors or digital systems creates new arithmetic design problems. Graduate students, researchers and designers will find good solutions to these problems with this comprehensive state-of-the-art exposition of digital arithmetic.  
 
Ercegovac and Lang provide a unified treatment of digital arithmetic, tying the underlying theory and design practice in a technology-independent manner. They consistently use an algorithmic approach in defining arithmetic operations, illustrate concepts with examples of designs at the logic level, and discuss cost/performance characteristics throughout. Students and practicing designers alike will find Digital Arithmetic a definitive reference and a consistent teaching tool for developing a deep understanding of the "arithmetic style" of algorithms and designs.

Contents


Preface  
1. Review of Basic Number Representations and Arithmetic Algorithms  
2. Two-Operand Addition  
3. Multi-Operand Addition  
4. Multiplication  
5. Division by Digit Recurrence  
6. Square Root by Digit Recurrence  
7. Reciprocal, Division, Reciprocal Square Root and Square Root by Iterative Approximation  
8. Floating-Point Representation, Algorithms, and Implementations  
9. Digit-Serial Arithmetic  
10. Function Evaluation  
11. CORDIC Algorithm and Implementations  

商品描述(中文翻譯)

數位算術在通用數位處理器和用於信號處理、圖形和通信的嵌入式系統設計中扮演著重要角色。儘管數位算術已有成熟的知識體系,但每一代新的處理器或數位系統都會帶來新的算術設計問題。研究生、研究人員和設計師將在這本全面的數位算術最新著作中找到這些問題的良好解決方案。

Ercegovac和Lang以技術無關的方式統一處理數位算術的基礎理論和設計實踐。他們始終以算法方法定義算術運算,通過邏輯層面的設計示例來說明概念,並在整個過程中討論成本/性能特性。學生和實踐設計師都會發現《數位算術》是一本權威的參考書,也是一個一致的教學工具,用於深入理解算法和設計的“算術風格”。

目錄:
前言
1. 基本數字表示和算法回顧
2. 雙操作數相加
3. 多操作數相加
4. 乘法
5. 通過數字循環除法
6. 通過數字循環求平方根
7. 通過迭代逼近進行倒數、除法、倒數平方根和平方根
8. 浮點表示、算法和實現
9. 數字串行算術
10. 函數求值
11. CORDIC算法和實現