METHODOLOGY FOR SIMPLIFYING PERFECT NORMAL FORMS IN BOOLEAN ALGEBRA

Authors

  • Zulfikharov Ilkhom Makhmudovich, Ahmadaliyev Biloliddin , Akromov Alibek Andijan State Technical Institute of the Republic of Uzbekistan associate professor of the Department of Information technologies, Student at Andijan State Technical Institute of the Republic of Uzbekistan.

DOI:

https://doi.org/10.55640/

Keywords:

Higher education, artificial intelligence, discrete structures, Boolean algebra, logical functions, perfect normal form, perfect disjunctive normal form, perfect conjunctive normal form, simplification, algorithm.

Abstract

 This article explains the methodology for simplifying perfect normal forms in Boolean algebra through specific examples in the process of teaching the subject “Discrete Structures” to students of the “Artificial Intelligence” educational program at technical higher education institutions.

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References

1.Resolution of the President of the Republic of Uzbekistan Sh. Mirziyoyev No. PQ-3775 dated June 5, 2018 “On additional measures to improve the quality of education in higher education institutions and ensure their active participation in comprehensive reforms being implemented in the country”.

2.Resolution of the President of the Republic of Uzbekistan Sh. Mirziyoyev No. PQ-4708 dated May 7, 2020 “On measures to improve the quality of education in mathematics and develop scientific research”.

3.Resolution of the President of the Republic of Uzbekistan No. PQ-4996 dated February 17, 2021 “On measures to create conditions for the accelerated implementation of artificial intelligence technologies”.

4.Zulfixarov I.M. Synergetic approach methodology in solving applied examples and problems in mathematics. Monograph. Andijan, 2024. 119 p. “Omadbek print number one” LLC.

5.Zulfixarov I.M., Po‘latov M. Increasing Students' Interest in Mathematics Through Some Real-Life Examples. Belgium. Eurasian Research Bulletin. Volume 35. September 2024. pp. 13–16.

6.Zulfixarov I.M., Po‘latov M. In practical lessons in mathematics some economic issues through exact integral solution methodology. Egypt. International Journal of Engineering Mathematics, Theory and Application (Online). 1687-6156. Volume 6, Issue 2.

7.Zulfikharov I.M., Atajonova S.B. The role of modern didactics in the effective organization of mathematics education. Kazakhstan University of Friendship of Peoples named after Academician A. Kuatbekov. Shymkent, 12.04.2024.

8.Zulfixarov I.M., Atajonova S.B. Methodology of Explaining to Students the Organization of Bayes Networks with Mathematical Considerations in Practical Lessons in Mathematics. Innova Science Journal of Theory, Mathematics and Physics. Vol. 3, No. 4, 2024. pp. 40–45.

9.Saidakhon Atajonova, Ilkhom Zulfikharov. Improving the methodology of effective organization of mathematics courses in technical universities. Scopus. AIP Conf. Proc. 3244, 020009 (2024). Research Article | November 27, 2024. https://doi.org/10.1063/5.0241836

10.Zulfixarov I.M., Atajonova S.B. Synergetic approach methodology in solving some probability and statistics problems in technical higher education institutions. Tadqiqot.uz JTS. Technical Sciences. No. 1 (2024), Vol. 7, Issue 1, pp. 51–56. DOI: http://dx.doi.org/10.26739/2181-9696-2024-1

11.Zulfixarov I.M. Discrete Structures. [Textbook] – “Omadbek print number one” LLC. Andijan, 2025. 188 p.

12.Zulfixarov I.M. Sets & Combinatorics. [Monograph] – “Omadbek print number one” LLC. Andijan, 2025. 106 p.

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Published

2026-02-10

Issue

Vol. 5 No. 02 (2026): Journal of Multidisciplinary Sciences and Innovations

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Authors retain the copyright of their manuscripts, and all Open Access articles are disseminated under the terms of the Creative Commons Attribution License 4.0 (CC-BY), which licenses unrestricted use, distribution, and reproduction in any medium, provided that the original work is appropriately cited. The use of general descriptive names, trade names, trademarks, and so forth in this publication, even if not specifically identified, does not imply that these names are not protected by the relevant laws and regulations.

How to Cite

METHODOLOGY FOR SIMPLIFYING PERFECT NORMAL FORMS IN BOOLEAN ALGEBRA. (2026). Journal of Multidisciplinary Sciences and Innovations, 5(02), 723-727. https://doi.org/10.55640/

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