Arithmetic and Algebraic Circuits

1. Auflage 2021
ISBN: 978-3-030-67268-3
Verlag: Springer International Publishing

Buch, Englisch, Band 201, 682 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1042 g

Reihe: Intelligent Systems Reference Library

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.

Zielgruppe

Research

Autoren/Hrsg.

Lloris Ruiz, Antonio

Castillo Morales, Encarnación

Lloris Meseguer, María José

Parrilla Roure, Luis

García Ríos, Antonio

Fachgebiete

• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Algorithmen & Datenstrukturen
• Mathematik | Informatik EDV | Informatik Informatik Künstliche Intelligenz
• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker
• Mathematik | Informatik EDV | Informatik Daten / Datenbanken Kryptologie, Informationssicherheit

Inhaltsverzeichnis

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