Positional System and Non - positional Number System

Positional and Non - Positional Number System

Number system

A numbering system is a set of symbols and rules that allow building generating all numbers valid.

A numbering system can be represented as:

Where:

N is the number system used (i.e. decimal and binary etc)

S is the maximum base allowed in the system i.e. for decimal we can go from {0, 1, 2 …9}

R is the rule in the system that tells what number is valid in the system and similarly which are not. In a system of positional numbering rules are quite simple, while the Roman numerals ...