Generalized look-ahead number conversion from signed digit to complement representation with optical logic operations

Feng Qian; Guoqiang Li

doi:10.1117/12.449664

6 December 2001 Generalized look-ahead number conversion from signed digit to complement representation with optical logic operations

Feng Qian, Guoqiang Li

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Proceedings Volume 4470, Photonic Devices and Algorithms for Computing III; (2001) https://doi.org/10.1117/12.449664
Event: International Symposium on Optical Science and Technology, 2001, San Diego, CA, United States

Abstract

In this paper a generalized look-ahead logic algorithm for number conversion from signed-digit to its complement representation is developed. By properly encoding the signed digits, all the operations are performed by binary logic, and unified logical expressions can be obtained for conversion from modified-signed-digit (MSD) to 2's complement, trinary signed-digit (TSD) to 3's complement, and quaternary signed-digit (QSD) to 4's complement. For optical implementation, a parallel logical array module using electron-trapping device is employed, which is suitable for realizing complex logic functions in the form of sum-of-product. The proposed algorithm and architecture are compatible with a general-purpose optoelectronic computing system.

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Feng Qian and Guoqiang Li "Generalized look-ahead number conversion from signed digit to complement representation with optical logic operations", Proc. SPIE 4470, Photonic Devices and Algorithms for Computing III, (6 December 2001); https://doi.org/10.1117/12.449664

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KEYWORDS

Logic

Binary data

Computer programming

Algorithm development

Optical logic

Computing systems

Computer architecture

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