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Arithmetic and algebraic circuits

Lloris Ruiz, Antonio.

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Arithmetic and algebraic circuits

Record Type:	Electronic resources : Monograph/item
Title/Author:	Arithmetic and algebraic circuits/ by Antonio Lloris Ruiz ... [et al.].
other author:	Lloris Ruiz, Antonio.
Published:	Cham :Springer International Publishing : : 2021.,
Description:	xvii, 682 p. :ill., digital ;24 cm.
[NT 15003449]:	Number Systems -- Basic Arithmetic Circuits -- Residue Number Systems.
Contained By:	Springer Nature eBook
Subject:	Algebraic fields. -
Online resource:	https://doi.org/10.1007/978-3-030-67266-9
ISBN:	9783030672669

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.201..

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

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

532032
Algebraic fields.

LC Class. No.: QA247

Dewey Class. No.: 512.74

Arithmetic and algebraic circuits
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245 0 0 $a Arithmetic and algebraic circuits $h [electronic resource] / $c by Antonio Lloris Ruiz ... [et al.].
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a xvii, 682 p. : $b ill., digital ; $c 24 cm.
490 1 $a Intelligent systems reference library, $x 1868-4394 ; $v v.201
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.
650 0 $a Algebraic fields. $3 532032
650 0 $a Logic, Symbolic and mathematical. $3 532051
650 0 $a Digital electronics. $3 584066
650 1 4 $a Computational Intelligence. $3 1001631
650 2 4 $a Symbolic and Algebraic Manipulation. $3 891222
650 2 4 $a Cryptology. $3 3382308
650 2 4 $a Algorithms. $3 536374
700 1 $a Lloris Ruiz, Antonio. $3 2062803
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Intelligent systems reference library ; $v v.201. $3 3491430
856 4 0 $u https://doi.org/10.1007/978-3-030-67266-9
950 $a Intelligent Technologies and Robotics (SpringerNature-42732)