Efficient optical negabinary modified signed-digit arithmetic: one-step addition and subtraction algorithms

Abdallah K. Cherri; Husain A. Kamal

doi:10.1117/1.1636766

1 February 2004 Efficient optical negabinary modified signed-digit arithmetic: one-step addition and subtraction algorithms

Abdallah K. Cherri, Husain A. Kamal

Author Affiliations +

Optical Engineering, Vol. 43, Issue 2, (February 2004). https://doi.org/10.1117/1.1636766

Efficient one-step addition and subtraction algorithms are proposed. The arithmetic operations use the negabinary modified signed-digit number representation, which is an extension of the negabinary number system. Truth tables representing the required symbolic substitution computation rules are determined. Then a reduction of the number of the symbolic substitution computation rules is achieved by considering the digits in the lower positions of the negabinary modified signed digits in the computation. The proposed algorithms are very suitable for optical holographic and nonholographic implementations. An incoherent correlation based on the efficient shared content-addressable memory (SCAM) is suggested as an optoelectronics implementation.

©(2004) Society of Photo-Optical Instrumentation Engineers (SPIE)

Citation Download Citation

Abdallah K. Cherri and Husain A. Kamal "Efficient optical negabinary modified signed-digit arithmetic: one-step addition and subtraction algorithms," Optical Engineering 43(2), (1 February 2004). https://doi.org/10.1117/1.1636766

Published: 1 February 2004

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