Arithmetic and Algebraic Circuits

This book presents a complete and accurate study of arithmetic and algebraic circuits.

Arithmetic and Algebraic Circuits

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.

More Books:

Arithmetic and Algebraic Circuits
Language: en
Pages: 682
Authors: Antonio Lloris Ruiz, Encarnación Castillo Morales, Luis Parrilla Roure, Antonio García Ríos, María José Lloris Meseguer
Categories: Technology & Engineering
Type: BOOK - Published: 2021-03-27 - Publisher: Springer Nature

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
Algebraic Circuits
Language: en
Pages: 394
Authors: Antonio Lloris Ruiz, Encarnación Castillo Morales, Luis Parrilla Roure, Antonio García Ríos
Categories: Technology & Engineering
Type: BOOK - Published: 2014-04-05 - Publisher: Springer Science & Business Media

This book presents a complete and accurate study of algebraic circuits, digital circuits whose performance can be associated with any algebraic structure. The authors distinguish between basic algebraic circuits, such as Linear Feedback Shift Registers (LFSRs) and cellular automata and algebraic circuits, such as finite fields or Galois fields. The
Algebraic Circuits
Language: en
Pages: 394
Authors: Antonio Lloris Ruiz, Encarnación Castillo Morales, Luis Parrilla Roure, Antonio García Ríos
Categories: Technology & Engineering
Type: BOOK - Published: 2014-04-17 - Publisher: Springer

This book presents a complete and accurate study of algebraic circuits, digital circuits whose performance can be associated with any algebraic structure. The authors distinguish between basic algebraic circuits, such as Linear Feedback Shift Registers (LFSRs) and cellular automata and algebraic circuits, such as finite fields or Galois fields. The
Systolic Computations
Language: en
Pages: 319
Authors: M.A. Frumkin
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

This monograph is devoted to a new method of parallel computing which uses VLSI technology in an effcient manner. By this method, data are fed to the cells of a systolic processor and results are obtained instantly. Some theoretical and algorithmic questions which arise in the design of hardware and
Arithmetic Circuits
Language: en
Pages: 194
Authors: Amir Shpilka, Amir Yehudayoff
Categories: Computers
Type: BOOK - Published: 2010 - Publisher: Now Publishers Inc

Arithmetic Circuits: A Survey of Recent Results and Open Questions surveys the field of arithmetic circuit complexity. The focus is mainly on the most interesting and accessible research directions. It covers the main results and techniques, with an emphasis on works from the last two decades