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Author Lloris Ruiz, Antonio, author.

Title Arithmetic and algebraic circuits / Antonio Lloris Ruiz, Encarnación Castillo Morales, Luis Parrilla Roure, Antonio García Ríos, María José Lloris Meseguer
Published Cham, Switzerland : Springer, [2021]


Description 1 online resource
Series Intelligent systems reference library ; volume 201
Intelligent systems reference library ; v. 201.
Contents Number Systems -- Basic Arithmetic Circuits -- Residue Number Systems
Summary 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
Bibliography Includes bibliographical references and index
Notes Online resource; title from digital title page (viewed on March 26, 2021)
Subject Algebraic fields.
Logic, Symbolic and mathematical.
Digital electronics.
Algebraic fields.
Digital electronics.
Logic, Symbolic and mathematical.
Form Electronic book
Author Castillo Morales, Encarnación, author
Parrilla Roure, Luis, author
García Ríos, Antonio, author
Lloris Meseguer, María José, author
ISBN 9783030672669