What is a numeral system?
To answer the question «What is a numeral system?» also called system of numeration or base X (where X is a number) we will start with its definition. A numbering system is a set of symbols and generation rules that allow us to construct all valid numbers. Mathematically it is expressed as: $$N = (S, R)$$ where: N: is the numbering system under consideration. S: is the set of symbols allowed in the system. R: are the rules that tell us which numbers and which operations are valid in the system. They are classified into two main groups: positional and non-positional: ...