7 August 2017 High-speed counters in Fibonacci numerical system
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Proceedings Volume 10445, Photonics Applications in Astronomy, Communications, Industry, and High Energy Physics Experiments 2017; 1044522 (2017) https://doi.org/10.1117/12.2280939
Event: Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2017, 2017, Wilga, Poland
Abstract
Possibility of executing the carriers and borrowings by means of elementary additive transformations in the process of calculation in Fibonacci numerical system is substantiated. Methods of counting in the given numerical system, based on the usage of information redundancy are suggested. The methods consist in the fact that at every step executed all possible elementary addition transformations of code in the counter simultaneously with adding one. The suggested methods enable to construct up-, down- and up/down counters with high speed, independent on the data capacity and small hardware cost that linearly grow with the increase of the capacity. Schemes of structural organization of one digit for each of the suggested methods are given.
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Olexiy Azarov, Olexiy Azarov, Olexandr Chernyak, Olexandr Chernyak, Paweł Komada, Paweł Komada, Miergul Kozhambardiyeva, Miergul Kozhambardiyeva, Aliya Kalizhanova, Aliya Kalizhanova, } "High-speed counters in Fibonacci numerical system", Proc. SPIE 10445, Photonics Applications in Astronomy, Communications, Industry, and High Energy Physics Experiments 2017, 1044522 (7 August 2017); doi: 10.1117/12.2280939; https://doi.org/10.1117/12.2280939
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