Examples of determining the rank of a number represented in the non-position system of residual classes
DOI:
https://doi.org/10.30837/rt.2018.2.193.14Keywords:
rank, deduction, number system, remainder, overflow, code tag, speed, arithmetic operationAbstract
Possible methods are considered for determining the positional feature of the non-position code (PFNC) of the number system in residual classes (SRC) of the rank of a number. Two methods for determining the rank of a number in a SRC are presented. The main attention is paid to the method of determining the rank of a number based on using the result of the proof of the theorem on the rank of the sum of two numbers. Examples of a specific definition of the rank of a number are given.References
Kuznetsov O., Gorbenko Y., Kolovanova I. Combinatorial properties of block symmetric ciphers key schedule // 2016 Third International Scientific-Practical Conference Problems of Infocommunications Science and Technology (PIC S&T), Kharkiv, 2016. pp. 55-58. DOI: 10.1109/INFOCOMMST.2016.7905334.
Sergey G. Rassomakhin. Mathematical and Physical Nature of Channel Capacity // ISCI’2017: Information Security in Critical Infrastructures. Collective monograph. Edited by Ivan D. Gorbenko and Alexandr A. Kuznetsov. ASC Academic Publishing, USA, 2017. 207 p.
Акушский И. Я., Юдицкий Д. И. Машинная арифметика в остаточных классах. Москва : Сов. радио, 1968. 440 с.
Торгашов В. А. Система остаточных классов и надежность ЦВМ. Москва : Сов. радио, 1973. 118 с.
Krasnobayev V. A., Koshman S. A., Mavrina M. A. A method for increasing the reliability of verification of data represented in a residue number system // Cybernetics and Systems Analysis. November 2014. Vol. 50, Issue 6. pp 969-976.
Краснобаев В.А., Кошман С. А., Маврина М. А. Метод исправления однократных ошибок данных, представленных кодом класса вычетов // Электрон. моделирование. 2013. Т. 35. № 5. С. 43–56.
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