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Journal articles on the topic 'Number System'

Author: Grafiati

Published: 4 June 2021

Last updated: 26 July 2025

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1

Joy, Pretty, Linda Sebastian, and Anitha Abraham. "Automatic Number Plate Recognition System." International Journal of Scientific Engineering and Research 7, no. 3 (2019): 12–17. https://doi.org/10.70729/ijser18672.

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2

Kuchukov, V. A., M. G. Babenko, and N. N. Kucherov. "Investigating the rank of the number in a residue number system." Sovremennaya nauka i innovatsii, no. 2 (42) (2023): 41–49. http://dx.doi.org/10.37493/2307-910x.2023.2.4.

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The rank of a number in a residue number system indicates the count of transitions through a range when a number is converted to a positional number system and allows for more efficient non-modular operations and detection of values out of range. The main approach to calculate the rank is the use of the Chinese Remainder Theorem. In this article the approach which allows to compute the rank using a set of special numbers for which ranks are computed in advance is proposed. The simulation of the considered methods is done in the Python programming language. The results are analyzed and recommen

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3

Trivedi, Nripesh. "Number system." International Journal of Scientific Research and Management (IJSRM) 11, no. 12 (2023): 996. http://dx.doi.org/10.18535/ijsrm/v11i12.ec04.

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We use numbers in daily life without examining a pattern in numbers [1]. We solve problems through equations everyday without generalizing our results [2]. This happens because we do not express numbers simply enough to get a sense of the numbers. In other words, numbers are not expressed in terms of their occurrences to understand the numbers and express them in the same form. This paper expresses numbers in the form of their occurrences.

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4

Deliang Shi. "A new binary number system for real numbers." Naturalis Scientias 01, no. 04 (2024): 286–302. https://doi.org/10.62252/nss.2024.1020.

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A number system uses a set of digits and sign to represent all the numbers. Different number systems use different amount of digits and sign. To compare the leanness of a number system, the cardinality of the complete set of digits and sign are employed in this work. The 01 binary number system is used by almost all the modern computers. It can represent all the real numbers by two digits 0, 1 and a sign (-), which means its cardinality is 3. Thus, the 01 binary system is not a true binary system. After reviewing all the existing number systems it is found that no true binary system exists for

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5

Haug, Espen Gaarder, and Pankaj Mani. "Killing Imaginary Numbers? From Today’s Asymmetric Number System to a Symmetric System." Advances in Pure Mathematics 11, no. 08 (2021): 741–54. http://dx.doi.org/10.4236/apm.2021.118049.

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6

Borysenko, Oleksiy, Svitlana Matsenko, and Vjaceslavs Bobrovs. "Binomial Number System." Applied Sciences 11, no. 23 (2021): 11110. http://dx.doi.org/10.3390/app112311110.

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This paper presents and first scientifically substantiates the generalized theory of binomial number systems (BNS) and the method of their formation for reliable digital signal processing (DSP), transmission, and data storage. The method is obtained based on the general theory of positional number systems (PNS) with conditions and number functions for converting BNS with a binary alphabet, also allowing to generate matrix BNS, linear-cyclic, and multivalued number systems. Generated by BNS, binomial numbers possess the error detection property. A characteristic property of binomial numbers is

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7

Jha, Anil Chandra. "Positional Number System." NUTA Journal 7, no. 1-2 (2020): 1–9. http://dx.doi.org/10.3126/nutaj.v7i1-2.39924.

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In a positional number system, the numerical value of each symbol depends on its position in the sequence of digits representing the number. Any integer greater than 1 may serve as a base, and in a base b system there are b digits represented conventionally by the digits 0,1,2,..., b-1. In this paper we introduce the following four positional number systems: decimal (base-10), binary (base-2), Octal (base-8) and hexadecimal (base-16). We focus on representations of these number systems together with arithmetical operations defined on them. The study of this paper ends with the conversions of n

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8

Bagai, Shobha. "Balanced Number System." Resonance 23, no. 12 (2018): 1395–410. http://dx.doi.org/10.1007/s12045-018-0749-1.

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9

Malikovich, Karimov Madjit. "Random Number Generation in Operating Systems." American Journal of Applied Science and Technology 5, no. 5 (2025): 74–81. https://doi.org/10.37547/ajast/volume05issue05-17.

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Random number generation (RNG) plays a foundational role in security, cryptography, and system design. Operating systems today implement complex mechanisms for generating random numbers securely. This survey paper presents an overview of RNG techniques used in major operating systems, including Microsoft Windows, Linux, and macOS. We examine entropy sources, deterministic random bit generators (DRBGs), system APIs, and quality testing mechanisms. The survey highlights key differences between OS-level RNG designs and emphasizes best practices, challenges, and potential vulnerabilities. This wor

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10

Yi-Bing Lin. "Signaling System Number 7." IEEE Potentials 15, no. 3 (1996): 5–8. http://dx.doi.org/10.1109/45.535225.

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11

Margolis, Eric. "The Small Number System." Philosophy of Science 87, no. 1 (2020): 113–34. http://dx.doi.org/10.1086/706087.

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12

Germán, L., and A. Kovács. "On number system constructions." Acta Mathematica Hungarica 115, no. 1-2 (2007): 155–67. http://dx.doi.org/10.1007/s10474-007-5224-5.

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13

Wang, Lijuan, Xiao Liang, Yueyang Yin, and Jingmei Kang. "Bidirectional Mapping Between the Symbolic Number System and the Approximate Number System." Experimental Psychology 68, no. 5 (2021): 243–63. http://dx.doi.org/10.1027/1618-3169/a000533.

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Abstract. Previous studies have discussed the symmetry of bidirectional mapping between approximate number system (ANS) and symbolic number system (SNS). However, these studies neglected the essential significance of bidirectional mapping in the development of numerical cognition. That is, with age, the connection strength between the ANS and SNS in ANS-SNS mapping could be higher than that in SNS-ANS mapping. Therefore, this study attempted to explore the symmetry of bidirectional mapping by examining whether the connection between the ANS and SNS is the same. Using two types of dot array mat

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14

Qu, Chuyan, Sam Clarke, Francesca Luzzi, and Elizabeth Brannon. "Rational number representation by the approximate number system." Cognition 250 (September 2024): 105839. http://dx.doi.org/10.1016/j.cognition.2024.105839.

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15

Babatunde, Akinbowale Nathaniel, Ebunayo Rachael Jimoh, Oladipupo Oshodi, and Olujuwon Ayoseyi Alabi. "Performance analysis of gray code number system in image security." Jurnal Teknologi dan Sistem Komputer 7, no. 4 (2019): 141–46. http://dx.doi.org/10.14710/jtsiskom.7.4.2019.141-146.

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The encryption of digital images has become essential since it is vulnerable to interception while being transmitted or stored. A new image encryption algorithm to address the security challenges of traditional image encryption algorithms is presented in this research. The proposed scheme transforms the pixel information of an original image by taking into consideration the pixel location such that two neighboring pixels are processed via two separate algorithms. The proposed scheme utilized the Gray code number system. The experimental results and comparison shows the encrypted images were di

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16

R.V, Shalini, and Dr P. Sam path. "Multiplier Design Incorporating Logarithmic Number System for Residue Number System in Binary Logic." International Journal of VLSI & Signal Processing 5, no. 3 (2018): 10–21. http://dx.doi.org/10.14445/23942584/ijvsp-v5i3p102.

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17

Rahman, Md Masudur, and Md Tanzil Mehadi Bappy. "Combined Balanced Ternary Number System: An Approach to a New Computational Number System combining The Ternary Number System and the Balanced Ternary Number System in the field of Computational Mathematics." International Journal of Computer Applications Technology and Research 7, no. 7 (2018): 286–91. http://dx.doi.org/10.7753/ijcatr0707.1008.

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18

Vitulyova, Ye S., K. N. Kadyrzhan, and I. E. Suleimenov. "Quasi-Mersenne numbers for the case of the ternary number system." Bulletin of the National Engineering Academy of the Republic of Kazakhstan 94, no. 4 (2024): 250–62. https://doi.org/10.47533/2024.1606-146x.021.

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The feasibility of considering quasi-Mersenne numbers represented in the form p = 3k + 2 is justi- fied. The first prime numbers represented in this form are 11, 29, 83, 6563, i.e. there exist specific Galois fields corresponding to such numbers. It is shown that computations in such Galois fields can be reduced to computations in finite algebraic rings, specifically, in rings of subtraction classes modulo 3k + 1. It is found that the numbers under consideration have a property similar to that possessed by the Mersenne prime numbers in binary representation. Specifically, when multiplying numb

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19

Khaparde, Devesh, Heet Detroja, Jainam Shah, Rushikesh Dikey, and Bhushan Thakare. "Automatic Number Plate Recognition System." International Journal of Computer Applications 179, no. 49 (2018): 26–29. http://dx.doi.org/10.5120/ijca2018917277.

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20

Escultura, Edgar E. "The Constructivist Real Number System." Advances in Pure Mathematics 06, no. 09 (2016): 593–607. http://dx.doi.org/10.4236/apm.2016.69048.

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21

Rousseau, Cecil. "The Phi Number System Revisited." Mathematics Magazine 68, no. 4 (1995): 283. http://dx.doi.org/10.2307/2690574.

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22

Nakerikanti, Madhu. "Intelligent Number Plate Detection System." Bioscience Biotechnology Research Communications 14, no. 5 (2021): 355–58. http://dx.doi.org/10.21786/bbrc/14.5/61.

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23

LI, Hongxia, Jiwei SI, Zejian CHEN, and Tangzheng ZHANG. "Approximate Number System in Human." Advances in Psychological Science 23, no. 4 (2015): 562. http://dx.doi.org/10.3724/sp.j.1042.2015.00562.

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24

Jeong, Eui-Chai. "A NUMBER SYSTEM IN ℝn". Journal of the Korean Mathematical Society 41, № 6 (2004): 945–55. http://dx.doi.org/10.4134/jkms.2004.41.6.945.

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25

Wassmann, Jürg, and Pierre R. Dasen. "Yupno Number System and Counting." Journal of Cross-Cultural Psychology 25, no. 1 (1994): 78–94. http://dx.doi.org/10.1177/0022022194251005.

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26

Jamil, T. "The complex binary number system." IEEE Potentials 20, no. 5 (2002): 39–41. http://dx.doi.org/10.1109/45.983342.

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27

Thun, R. "On residue number system decoding." IEEE Transactions on Acoustics, Speech, and Signal Processing 34, no. 5 (1986): 1346–47. http://dx.doi.org/10.1109/tassp.1986.1164938.

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28

Rousseau, Cecil. "The Phi Number System Revisited." Mathematics Magazine 68, no. 4 (1995): 283–84. http://dx.doi.org/10.1080/0025570x.1995.11996335.

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29

Gilmore, Camilla, Nina Attridge, and Matthew Inglis. "Measuring the Approximate Number System." Quarterly Journal of Experimental Psychology 64, no. 11 (2011): 2099–109. http://dx.doi.org/10.1080/17470218.2011.574710.

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Recent theories in numerical cognition propose the existence of an approximate number system (ANS) that supports the representation and processing of quantity information without symbols. It has been claimed that this system is present in infants, children, and adults, that it supports learning of symbolic mathematics, and that correctly harnessing the system during tuition will lead to educational benefits. Various experimental tasks have been used to investigate individuals' ANSs, and it has been assumed that these tasks measure the same system. We tested the relationship across six measures

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30

Das, Subrata, Joy Prakash Sain, Parthasarathi Dasgupta, and Samar Sensarma. "Algorithms for Ternary Number System." Procedia Technology 4 (2012): 278–85. http://dx.doi.org/10.1016/j.protcy.2012.05.043.

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31

Lakshmikantham, V., and Danny Kovach. "The hybrid real number system." Nonlinear Analysis: Hybrid Systems 1, no. 1 (2007): 119–23. http://dx.doi.org/10.1016/j.nahs.2006.07.001.

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32

Inglis, Matthew, and Camilla Gilmore. "Indexing the approximate number system." Acta Psychologica 145 (January 2014): 147–55. http://dx.doi.org/10.1016/j.actpsy.2013.11.009.

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33

Pulver, Sandra. "Quaternions: The hypercomplex number system." Mathematical Gazette 92, no. 525 (2008): 431–36. http://dx.doi.org/10.1017/s0025557200183639.

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Are there solutions of the equation x2 + 1 = 0 ? Carl Fredrich Gauss (1777–1855) conjectured that there was a solution and that it was the square root of - 1 . But since the squares of all real numbers, positive or negative, are positive, Gauss introduced a fanciful idea. His solution to this equation was , which he named i. He integrated i with the real numbers to form a set known as , the complex numbers, where each element in that set was of the form a + bi, where a, . Gauss illustrated this on a graph, the horizontal axis became the real axis and represented the real coefficient, while the

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34

Etomi, Emina E., and Donatus U. Onyishi. "Automated number plate recognition system." Tropical Journal of Science and Technology 2, no. 1 (2021): 38–48. http://dx.doi.org/10.47524/tjst.21.6.

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Automatic Number Plate Recognition (ANPR) system is an automated mass surveillance method that uses several Digital Image Processing (DIP) technique and Optical Character Recognition (OCR) on images to read and identify vehicle registration plates. ANPR has yielded multiple positive results in practical applications such as: access control, traffic law enforcement, inventory and property management, security systems surveillance, parking space allocation, and road traffic surveillance. The automatic number plate recognition system (ANPR) developed in this research work focused mainly on number

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35

Ambadkar, Dipali. "Automatic Number Plate Recognition System." International Journal of Science, Engineering and Technology 13, no. 2 (2025): 1–5. https://doi.org/10.61463/ijset.vol.13.issue2.215.

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36

Mamun, Munzur-ul, A. H. M. Zadidul Karim, and Md Istiaq Mahbub. "Low Power Microcontroller Based Intelligent Token Number Speaker and Display System." International Journal of Engineering and Technology 3, no. 2 (2011): 199–202. http://dx.doi.org/10.7763/ijet.2011.v3.224.

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37

Zlatopolski, D. M. "Non-standard methods for converting numbers from one number system to another." Informatics in school 1, no. 9 (2020): 28–30. http://dx.doi.org/10.32517/2221-1993-2020-19-9-28-30.

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The article describes a number of little-known methods for translating natural numbers from one number system to another. The first is a method for converting large numbers from the decimal system to the binary system, based on multiple divisions of a given number and all intermediate quotients by 64 (or another number equal to 2n ), followed by writing the last quotient and the resulting remainders in binary form. Then two methods of mutual translation of decimal and binary numbers are described, based on the so-called «Horner scheme». An optimal variant of converting numbers into the binary

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38

Mukhopadhyay, Sourangshu, Jitendra Nath Roy, Aparesh Jana, Pradip Dutta, and Rajesh Misir. "An Optical Conversion System: From 2n Radix Based Number to It Modified Trinary Number System." Journal of Optics 25, no. 1 (1996): 69–74. http://dx.doi.org/10.1007/bf03549304.

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39

Watanabe, Hajime. "Social Security and Tax Number System and Individual Number Card." Journal of The Institute of Image Information and Television Engineers 70, no. 7 (2016): 593–602. http://dx.doi.org/10.3169/itej.70.593.

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40

Odic, Darko, Mathieu Le Corre, and Justin Halberda. "Children’s mappings between number words and the approximate number system." Cognition 138 (May 2015): 102–21. http://dx.doi.org/10.1016/j.cognition.2015.01.008.

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41

Wang, Tao, and Hsiao-Dong Chiang. "On the Number of System Separations in Electric Power Systems." IEEE Transactions on Circuits and Systems I: Regular Papers 63, no. 5 (2016): 661–70. http://dx.doi.org/10.1109/tcsi.2016.2556121.

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42

Ogawa, Keisuke, and Masayuki Sakamoto. "Number of subscribers and system cost in mobile communication systems." Electronics and Communications in Japan (Part I: Communications) 72, no. 9 (1989): 103–13. http://dx.doi.org/10.1002/ecja.4410720911.

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43

R, Lalitha. "Vehicle Number Plate Recognition System to Identify the Authenticated Owner of Vehicles." International Journal of Psychosocial Rehabilitation 24, no. 5 (2020): 7102–7. http://dx.doi.org/10.37200/ijpr/v24i5/pr2020719.

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44

Krishna C P, Sugesh. "Natural Number System and Its Fundamental Relationships (Proof of Fermat's Last Theorem)." International Journal of Science and Research (IJSR) 11, no. 8 (2022): 176–86. http://dx.doi.org/10.21275/sr22723172902.

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45

Abdulrahman, Najmadin Wahid. "Network Intrusion Detection System Based on Matching Logical Address and Port Number." Journal of Zankoy Sulaimani - Part A 12, no. 1 (2008): 103–7. http://dx.doi.org/10.17656/jzs.10200.

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46

Lutsenko, Vladislav Vyacheslavovich, Mikhail Grigoryevich Babenko, and Munis Musinovich Khamidov. "High Speed Method of Conversion Numbers from Residue Number System to Positional Notation." Proceedings of the Institute for System Programming of the RAS 36, no. 4 (2024): 117–32. http://dx.doi.org/10.15514/ispras-2024-36(4)-9.

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The Residue Number System is a widely used non-positional number system. Residue Number System can be effectively used in applications and systems with a predominant proportion of addition, subtraction and multiplication operations, due to the parallel execution of operations and the absence of inter-bit carries. The reverse conversion of a number from Residue Number System to positional notation requires the use of special algorithms. The main focus of this article lies in introducing the new conversion method, which incorporates Chinese Remainder Theorem, Akushsky Core Function and rank of n

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47

Bagulaya-Abogaa, Jennifer. "Simplified Theorem in Number System Conversion." International Journal of Computer Applications 160, no. 3 (2017): 45–49. http://dx.doi.org/10.5120/ijca2017913017.

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48

HORIUCHI, Kiyomitsu, and Naoyuki TAMURA. "Fuzzy Number System : An Axiomatic Approach." Journal of Japan Society for Fuzzy Theory and Systems 6, no. 6 (1994): 1094–104. http://dx.doi.org/10.3156/jfuzzy.6.6_1094.

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49

Agarwal, Reema, and Mahesh Kumar. "Construction of the Real Number System." IOSR Journal of Mathematics 10, no. 2 (2014): 14–17. http://dx.doi.org/10.9790/5728-10271417.

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50

Koppisetti, Harshit Surya. "Number Plate Recognition System using MATLAB." International Journal for Research in Applied Science and Engineering Technology 9, no. VI (2021): 4851–54. http://dx.doi.org/10.22214/ijraset.2021.35983.

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This paper presents a system called NPR (Number Plate Recognition) which is based on image processing and is used to detect the number plates of vehicles and process them to record the information. In a fast-growing world, it has become almost impossible to track illegal vehicles and store vehicle information. This is eventually leading to a rise in the crime rate, especially due to manual errors. The proposed system first captures the vehicle image and the vehicle number plate region is extracted using Image Segmentation in an image. The resulting data is then used to compare with the records

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