Analisando critérios de divisibilidade em diferentes bases numéricas

Abstract

This work proposes a theoretical and didactic investigation into the criteria of divisibility across different numeral systems, with an emphasis on the decimal, binary, and hexadecimal systems. Beginning with a historical contextualization of numeral systems used by various civilizations, the study establishes a solid conceptual foundation for understanding positional and non-positional structures. The main algorithms of arithmetic operations and the divisibility criteria in each studied numeral base will be formally developed. The final chapter presents a generalized approach to divisibility criteria in any numeral base k, proposing a framework that can be used for both research purposes and pedagogical applications.