Software Implementation of the Synthesis of Ternary Two-Input Logic Functions

The article proposes a method for synthesizing ternary binary logic functions using a multi-threshold element, which significantly extends the capabilities of ternary logic compared to traditional binary logic. The aim of the work is to develop an algorithm for synthesizing ternary logic functions, based on the use of a multi-threshold element, which simplifies the design of logical circuits and reduces energy consumption while maintaining high data processing speed. The study includes a comparative analysis of ternary and binary logic functions, allowing an assessment of the advantages of ternary logic, particularly its ability to process more values than binary logic, which opens up new possibilities for creating more efficient computing devices. Specifically, ternary logic can reduce the complexity of circuits and hardware resource usage, while also enhancing performance in tasks where energy efficiency is critical. An essential part of the research is the development of an algorithm for synthesizing ternary binary logic functions based on a four-threshold multi-valued element. Furthermore, a software module was implemented to automate the synthesis of ternary functions. The program not only generates a graphical representation of the logical circuit but also formulates the analytical expression corresponding to the given logical function. This significantly simplifies the design and analysis of logical systems and enhances the efficiency of computations. Considering the high potential of ternary logic, the results of this work are significant not only for theoretical research but also for practical applications in the development of new computing devices and technologies. The further development of these ideas could contribute to the progress in computational systems working on new principles and open up new possibilities for optimizing technological processes in various fields of science and engineering.