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Titlebook: Arithmetic and Algebraic Circuits; Antonio Lloris Ruiz,Encarnación Castillo Morales,M Book 2021 Springer Nature Switzerland AG 2021 Galois

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发表于 2025-3-21 16:37:26 | 显示全部楼层 |阅读模式
期刊全称Arithmetic and Algebraic Circuits
影响因子2023Antonio Lloris Ruiz,Encarnación Castillo Morales,M
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发行地址First self-contained reference guide to arithmetic and algebraic circuits.Offers the necessary background for the design of specific circuits.Describes cutting-edge algorithms and optimized circuits
学科分类Intelligent Systems Reference Library
图书封面Titlebook: Arithmetic and Algebraic Circuits;  Antonio Lloris Ruiz,Encarnación Castillo Morales,M Book 2021 Springer Nature Switzerland AG 2021 Galois
影响因子This book presents a complete and accurate study of arithmetic and algebraic circuits. The first part offers a review of all important basic concepts: it describes simple circuits for the implementation of some basic arithmetic operations; it introduces theoretical basis for residue number systems; and describes some fundamental circuits for implementing the main modular operations that will be used in the text. Moreover, the book discusses floating-point representation of real numbers and the IEEE 754 standard.  The second and core part of the book offers a deep study of arithmetic circuits and specific algorithms for their implementation. It covers the CORDIC algorithm, and optimized arithmetic circuits recently developed by the authors for adders and subtractors, as well as multipliers, dividers and special functions. It describes the implementation of basic algebraic circuits, such as LFSRs and cellular automata. Finally, it offers a complete study of Galois fields, showing some exemplary applications and discussing the advantages in comparison to other methods. This dense, self-contained text provides students, researchers and engineers, with extensive knowledge on and a deep
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Residue Number Systems,dvantage is the absence of carry propagation between channels in addition, subtraction and multiplication. Thus, high-performance systems may be built for applications involving only these operations using Residue Number Systems.
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Floating Point,describes the basis of this number representation and analyses the different rounding schemes. The standard IEEE 754is introduced as well as circuit designs to implement the main floating-point arithmetic operations. To close this chapter, the logarithmic system of real number representation is desc
发表于 2025-3-22 09:51:04 | 显示全部楼层
Addition and Subtraction,dition and the circuits implementing the addition operation in their different variations. Addition is the basic arithmetic operation, so the circuits presented in this chapter are the foundation for the implementation of the remaining arithmetic operations, as it will be discussed in the following
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Galois Fields GF(,),ifically to the circuits related to the finite fields GF(.) and GF(.), being . prime, following the same structure of Chap. .. The theoretical foundations related to the Galois fields, algebra of polynomials and, particularly so now interested, related to GF(.) and to GF(.) are summarized in Appendi
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