# Category:Non-standard positional numeral systems

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Here is a list of articles in the Non-standard positional numeral systems category of the Computing portal that unifies foundations of mathematics and computations using computers.

**Non-standard positional numeral systems** here designates numeral systems that may loosely be described as positional systems, but that do * not* entirely comply with the following description of standard positional systems:

- In a standard positional numeral system, the base
*b*is a positive integer, and*b*different numerals are used to represent all non-negative integers. Each numeral represents one of the values 0, 1, 2, etc., up to*b*− 1, but the value also depends on the position of the digit in a number. The value of a digit string like*pqrs*in base*b*is given by the**polynomial form**

- [math]\displaystyle{ p\times b^3+q\times b^2+r\times b+s }[/math].

- The numbers written in superscript represent the powers of the base used.
- For instance, in hexadecimal (
*b*=16), using the numerals A for 10, B for 11 etc., the digit string 7A3F means- [math]\displaystyle{ 7\times16^3+10\times16^2+3\times16+15 }[/math],

- which written in our normal decimal notation is 31295.
- Upon introducing a radix point "." and a minus sign "−", all real numbers can be represented.

## Pages in category "Non-standard positional numeral systems"

The following 27 pages are in this category, out of 27 total.