Principles of fast count in modified Fibonacci numerical system

Olexiy D. Azarov; Sergii V. Pavlov; Olexandr I. Chernyak; Igor D. Ivasyuk; Waldemar Wójcik; Aigul Syzdykpayeva

doi:10.1117/12.2501565

1 October 2018 Principles of fast count in modified Fibonacci numerical system

Olexiy D. Azarov, Sergii V. Pavlov, Olexandr I. Chernyak, Igor D. Ivasyuk, Waldemar Wójcik, Aigul Syzdykpayeva

Proceedings Volume 10808, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2018; 1080829 (2018) https://doi.org/10.1117/12.2501565
Event: Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2018, 2018, Wilga, Poland

Abstract

The theoretical aspects of count in the modified Fibonacci numerical system are proposed in the article. It allows constructing of high-speed Fibonacci counters where the hardware costs are comparatively small and increase proportionally at code length growth. Fibonacci transformations of codes are described that play the role of carryings and borrowings at increment and reverse count. The admissible forms of codes for specifying the initial states of counters are explored.

Citation Download Citation

Olexiy D. Azarov, Sergii V. Pavlov, Olexandr I. Chernyak, Igor D. Ivasyuk, Waldemar Wójcik, and Aigul Syzdykpayeva "Principles of fast count in modified Fibonacci numerical system", Proc. SPIE 10808, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2018, 1080829 (1 October 2018); https://doi.org/10.1117/12.2501565

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