# Category:Non-standard positional numeral systems

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 25 pages are in this category, out of 25 total.

- Non-standard positional numeral systems
*(computing)*

### A

- Aiken code
*(computing)* - Asymmetric numeral systems
*(computing)*

### B

- Babylonian cuneiform numerals
*(computing)* - Babylonian numerals
*(computing)* - Balanced ternary
*(computing)* - Bijective numeration
*(computing)* - Binary-coded decimal
*(computing)*

### C

- Complex-base system
*(computing)*

### F

- Factorial number system
*(computing)* - Fibonacci coding
*(computing)*

### G

- Golden ratio base
*(computing)* - Gray code
*(computing)*

### K

- Komornik–Loreti constant
*(computing)*

### M

- Mixed radix
*(computing)*

### N

- NegaFibonacci coding
*(computing)* - Negative base
*(computing)* - Non-adjacent form
*(computing)* - Non-integer base of numeration
*(computing)* - Non-integer representation
*(computing)*

### O

- Ostrowski numeration
*(computing)*

### Q

- Quater-imaginary base
*(computing)*

### R

- Redundant binary representation
*(computing)*

### S

- Signed-digit representation
*(computing)* - Skew binary number system
*(computing)*