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Optical Engineering

Optical Multiplication And Division Using Modified-Signed-Digit Symbolic Substitution
Author(s): Kai Hwang; Ahmed Louri
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Paper Abstract

The modified-signed-digit (MSD) number system offers parallel addition and subtraction of any two numbers, with carry propagation constrained only between two adjacent digits. Based on MSD addition, parallel algorithms for multiplication and division are developed in this paper. The optical implementations of these MSD arithmetic algorithms are developed on the basis of symbolic substitution (SS). The space-invariant nature of SS matches well with the parallel nature of the MSD arithmetic algorithms presented. The potential advantages of using these algorithms for optical computing include the significant increase in speed, full exploitation of parallelism, and higher system throughput compared with existing electronic arithmetic processors. The performance of the proposed optical arithmetic system is analyzed and compared with that of state-of-the-art electronic counterparts.

Paper Details

Date Published: 1 April 1989
PDF: 9 pages
Opt. Eng. 28(4) doi: 10.1117/12.7976963
Published in: Optical Engineering Volume 28, Issue 4
Show Author Affiliations
Kai Hwang, University of Southern California (United States)
Ahmed Louri, University of Arizona (United States)


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