Digital optical arithmetic

15 September 1986

journal article
Published by Optica Publishing Group in Applied Optics

Vol. 25 (18) , 3021-3032
https://doi.org/10.1364/ao.25.003021

Abstract

Since development of the first computing system, there has been a continual quest for faster systems. This is a result of successful accomplishments with a given system which lead to desires to do even more, thereby requiring better performance. In many applications, better performance requires faster arithmetic. Recent progress in optical processing suggests that digital optical arithmetic may eliminate many of today’s performance bottlenecks. This paper provides an introduction to the concepts (and literature) of digital arithmetic. The primary emphasis is on number systems and on algorithms for addition, subtraction, multiplication, and division, since these operations are the basis for current systems.

Keywords

This publication has 19 references indexed in Scilit:

Sign/Logarithm Arithmetic for FFT Implementation
IEEE Transactions on Computers, 1983
The Sign/Logarithm Number System
IEEE Transactions on Computers, 1975
The Quasi-Serial Multiplier
IEEE Transactions on Computers, 1973
Digital filtering using logarithmic arithmetic
Electronics Letters, 1971
A fixed-point fast Fourier transform error analysis
IEEE Transactions on Audio and Electroacoustics, 1969
Number Systems and Arithmetic
Published by Elsevier ,1966
High-Speed Arithmetic in Binary Computers
Proceedings of the IRE, 1961
Binary Arithmetic
Published by Elsevier ,1960
Fast Carry Logic for Digital Computers
IEEE Transactions on Electronic Computers, 1955
Arithmetic Operations in a Binary Computer
Review of Scientific Instruments, 1950