MODEL OF A SPECIAL-PURPOSE IRRATIONAL FUNCTION IN VARIOUS BINARY-CODED NUMBERING SYSTEMS IN A SINGLE CRYSTAL
DOI:
https://doi.org/10.35546/kntu2078-4481.2025.3.2.41Keywords:
formalized model, mathematical logic, binary code, operand, function value, «square root»Abstract
The modern development of computing is characterized by a constant search for innovative solutions in the field of digital information conversion. The purpose of this work is to create an effective model of an irrational function by converting in a single crystal tuple binary-code formalized operands with high speed and reliability at low power consumption. The research methodology is based on a set of techniques that convert input tuple operands of different binary-code number systems into output values of the combination using a small amount of correction constants (determined in advance through the XOR operation), using the same tabular data of correspondences and synthesis of the corresponding logical structures of components. The key innovation of this work is to increase the efficiency and reduce active components and passive elements by using the proposed original circuit-technical solution while maintaining high information accuracy. Verification of the transformation of the input tuple binary-coded operands was confirmed by calculations for the given operands in the binary number system when determining the model of the irrational function of special purpose. The latter form the values of: binary code of the function «square root»; binary-decimal code of the function “square root” by adjusting the input array of binary code of arguments using the corresponding small-bit adjusting constants. Calculations that were performed according to the proposed formula, through the ratio of the average time of failure-free operation of the proposed model of the shaper and models, confirm the increase in design reliability by almost 2 times due to the reduction of passive elements. The proposed technology can be successfully applied in digital computing devices of special purpose, namely: control and measuring systems; computer-integrated complexes; etc. The results of the study demonstrate that the proposed innovative approach to component architecture can radically change the way scientists and researchers think about the capabilities of special-purpose digital converters.
References
Shwartz-Ziv, R., Armon, A. Tabular data: Deep learning is not all you need. Information Fusion. 2022. Vol. 81. P. 84–90. URL: https://doi.org/10.1016/j.inffus.2021.11.011
Kahraman, C., Onar, S. C., Oztaysi, B. Fuzzy multicriteria decision-making: a literature review. International Journal of Computational Intelligence Systems. 2015. Vol. 8. Iss. 4. P. 637-666. URL: https://doi.org/10.1080/18756891.2015.1046325
Aboul-Maaty, N. A. F., Oraby, H. A. S. Extraction of high-quality genomic DNA from different plant orders applying a modified CTAB-based method. Bulletin of the National Research Centre. 2019. Vol. 43. Iss. 1. P. 1–10. URL: https://doi.org/10.1186/s42269-019-0066-1
Jin, L., Tan, F., Jiang, S. Generative adversarial network technologies and applications in computer vision. Computational Intelligence and Neuroscience. 2020. Vol. 2020. Iss. 1. Id. 1459107. URL: https://doi.org/10.1155/2020/1459107
Alcin, M., Koyuncu, I., Tuna, M., Varan, M., Pehlivan, I. A novel high speed artificial neural network–based chaotic true random number generator on field programmable gate array. International Journal of Circuit Theory and Applications. 2019. Vol. 47. Iss. 3. P. 365–378. URL: https://doi.org/10.1002/cta.2581
Wang, Z., She, Q., Ward, T. E. Generative adversarial networks in computer vision: A survey and taxonomy. ACM Computing Surveys (CSUR). 2021. Vol. 54. Iss. 2. P. 1–38. URL: https://doi.org/10.1145/3439723
Nandi, A. K., Medal, H. R. Methods for removing links in a network to minimize the spread of infections. Computers & Operations Research. 2016. Vol. 69. P. 10–24. URL: https://doi.org/10.1016/j.cor.2015.11.001
Sun, C., Liu, G. R., Huo, S. H., Wang, G., Yu, C., Li, Z. A novel node-to-segment algorithm in smoothed finite element method for contact problems. Computational Mechanics. 2023. Vol. 72. Iss. 5. P. 1029–1057. URL: https://doi.org/ 10.1007/s00466-023-02327-6
Sundararaj, V., Muthukumar, S., Kumar, R. S. An optimal cluster formation based energy efficient dynamic scheduling hybrid MAC protocol for heavy traffic load in wireless sensor networks. Computers & Security. 2018. Vol. 77. P. 277–288. URL: https://doi.org/10.1016/j.cose.2018.04.009
Lukashenko, A., Harder, D., Lukashenko, V. M., Fedorov, E., Lukashenko, V. A., Utkina, T., Mitsenko, S., Rudakov, K. Bitwise method for the binary-coded operands conversion based on mathematical logic. Eastern-European Journal of Enterprise Technologies. (2018). Vol. 5. Iss. 4(95). P. 6–14. URL: https://doi.org/10.15587/1729-4061.2018.142975
