Parallel modified signed-digit algorithms for division, square root, logarithmic, and exponential functions

Abdallah K. Cherri; Mohammad S. Alam

doi:10.1117/12.408546

29 November 2000 Parallel modified signed-digit algorithms for division, square root, logarithmic, and exponential functions

Abdallah K. Cherri, Mohammad S. Alam

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Proceedings Volume 4114, Photonic Devices and Algorithms for Computing II; (2000) https://doi.org/10.1117/12.408546
Event: International Symposium on Optical Science and Technology, 2000, San Diego, CA, United States

Abstract

Parallel one-step addition (subtraction), multiplication, and division is proposed to perform the computation of complex functions such as the square root, logarithm, exponential, and other related operations. An optoelectronic correlator based architecture is suggested for implementing the proposed modified singed-digit (MSD) number system representations based. We utilized the symbolic substitution technique to reduce the number of the computation rules involved.

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Abdallah K. Cherri and Mohammad S. Alam "Parallel modified signed-digit algorithms for division, square root, logarithmic, and exponential functions", Proc. SPIE 4114, Photonic Devices and Algorithms for Computing II, (29 November 2000); https://doi.org/10.1117/12.408546

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KEYWORDS

Optical correlators

Symbolic substitution

Computer programming

Algorithm development

Matrices

Optoelectronics

Computer engineering

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