@article{article_1287434, title={METHODS FOR SOLVING SYSTEMS OF BOOLEAN EQUATIONS}, journal={Avrasya Sosyal ve Ekonomi Araştırmaları Dergisi}, volume={10}, pages={87–100}, year={2023}, author={Baizhumanov, Abdussattar}, keywords={Zhegalkin polynomial, linear Boolean functions, polynomial length, disjunctive normal forms, first-order neighborhood, metric characteristic.}, abstract={To minimize logical formulas when solving systems of Boolean equations, a method is proposed for transforming formulas from the Zhegalkin polynomial into a disjunctive normal form. An algorithm for simplifying logical functions in the class of disjunctive normal forms is given. A method for multiplying logical expressions in the class of disjunctive normal forms is proposed. As a result, the logical formulas are reduced to the product of the formulations of the Boolean equations of the system, from which the solutions of the system of Boolean equations are obtained}, number={Prof. Dr. RASKUL IBRAGIMOV Özel Sayısı}, publisher={İrfan TÜRKOĞLU}