Optical Multiplication And Division Using Modified-Signed-Digit Symbolic Substitution

Kai Hwang; Ahmed Louri

doi:10.1117/12.7976963

1 April 1989 Optical Multiplication And Division Using Modified-Signed-Digit Symbolic Substitution

Kai Hwang, Ahmed Louri

Author Affiliations +

Optical Engineering, Vol. 28, Issue 4, 284364 (April 1989). https://doi.org/10.1117/12.7976963

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.

Citation Download Citation

Kai Hwang and Ahmed Louri "Optical Multiplication And Division Using Modified-Signed-Digit Symbolic Substitution," Optical Engineering 28(4), 284364 (1 April 1989). https://doi.org/10.1117/12.7976963

Published: 1 April 1989

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available