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Author Lloris Ruiz, Antonio, author
Title Arithmetic and algebraic circuits / by Antonio Lloris Ruiz, Encarnacion Castillo Morales, Luis Parrilla Roure, Antonio Garcia Rios, Maria Jose Lloris Meseguer
Imprint Cham : Springer International Publishing : Imprint: Springer, 2021
book jacket
Descript 1 online resource (xvii, 682 pages) : illustrations, digital ; 24 cm
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Series Intelligent systems reference library, 1868-4394 ; volume 201
Intelligent systems reference library ; volume 201
Note 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
Host Item Springer Nature eBook
Subject Algebraic fields
Logic, Symbolic and mathematical
Digital electronics
Computational Intelligence
Symbolic and Algebraic Manipulation
Alt Author Castillo Morales, Encarnacion, author
Parrilla Roure, Luis, author
Garcia Rios, Antonio, author
Lloris Meseguer, Maria Jose, author
SpringerLink (Online service)
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