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Arithmetic and algebraic circuits

Lloris Ruiz, Antonio.

Arithmetic and algebraic circuits

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Arithmetic and algebraic circuitsby Antonio Lloris Ruiz ... [et al.].
其他作者:	Lloris Ruiz, Antonio.
出版者:	Cham :Springer International Publishing :2021.
面頁冊數:	xvii, 682 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Algebraic fields.
電子資源:	https://doi.org/10.1007/978-3-030-67266-9
ISBN:	9783030672669$q(electronic bk.)

Arithmetic and algebraic circuits
Arithmetic and algebraic circuits[electronic resource] /by Antonio Lloris Ruiz ... [et al.]. - Cham :Springer International Publishing :2021. - xvii, 682 p. :ill., digital ;24 cm. - Intelligent systems reference library,v.2011868-4394 ;. - Intelligent systems reference library ;v.24..

Number Systems -- Basic Arithmetic Circuits -- Residue Number Systems.

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 understanding of arithmetic and algebraic circuits and their implementation.

ISBN: 9783030672669$q(electronic bk.)

Standard No.: 10.1007/978-3-030-67266-9doiSubjects--Topical Terms:

189736
Algebraic fields.

LC Class. No.: QA247

Dewey Class. No.: 512.74

Arithmetic and algebraic circuits
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505 0 $a Number Systems -- Basic Arithmetic Circuits -- Residue Number Systems.
520 $a 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 understanding of arithmetic and algebraic circuits and their implementation.
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