0.999... and Non-standard positional numeral systems

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Difference between 0.999... and Non-standard positional numeral systems

0.999... vs. Non-standard positional numeral systems

In mathematics, 0.999... (also written 0., among other ways), denotes the repeating decimal consisting of infinitely many 9s after the decimal point (and one 0 before it). 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: This article summarizes facts on some non-standard positional numeral systems.

Balanced ternary

Balanced ternary is a non-standard positional numeral system (a balanced form), used in some early computers and useful in the solution of balance puzzles.

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Binary number

In mathematics and digital electronics, a binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols: typically 0 (zero) and 1 (one).

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Factorial number system

In combinatorics, the factorial number system, also called factoradic, is a mixed radix numeral system adapted to numbering permutations.

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Golden ratio base

Golden ratio base is a non-integer positional numeral system that uses the golden ratio (the irrational number ≈ 1.61803399 symbolized by the Greek letter φ) as its base.

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Integer

An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").

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Mixed radix

Mixed radix numeral systems are non-standard positional numeral systems in which the numerical base varies from position to position.

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Positional notation

Positional notation or place-value notation is a method of representing or encoding numbers.

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Radix

In mathematical numeral systems, the radix or base is the number of unique digits, including zero, used to represent numbers in a positional numeral system.

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Radix point

In mathematics and computing, a radix point (or radix character) is the symbol used in numerical representations to separate the integer part of a number (to the left of the radix point) from its fractional part (to the right of the radix point).

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Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

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Sign (mathematics)

In mathematics, the concept of sign originates from the property of every non-zero real number of being positive or negative.

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Ternary numeral system

The ternary numeral system (also called base 3) has three as its base.

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