Get it on Google Play
New! Download Unionpedia on your Android™ device!
Faster access than browser!
New! Don't lose this page! » Create account

A numeral system (or system of numeration) is a writing system for expressing numbers, that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner. [1]

74 relations: -yllion, Addison-Wesley, Alfred L. Kroeber, Arithmetic progression, Arity, Aryabhata, Bijection, Bijective numeration, Binary number, Bit, Brahmagupta, Cantor set, Chinese numerals, Complex number, Computer, Computer number format, Data compression, Decimal, Donald Knuth, Egyptian numerals, Elias gamma coding, Endianness, English language, Finite set, Geometric progression, Gettysburg Address, GNU Multiple Precision Arithmetic Library, Golden ratio base, Greek numerals, Hexadecimal, Hindu–Arabic numeral system, If and only if, India, Integer, Language, List of numeral system topics, List of numeral systems, Logarithm, Long and short scales, Mathematical notation, Mixed radix, Natural number, Number, Numeral (linguistics), Numerical cognition, Numerical digit, Octal, Order of magnitude, Overline, P-adic number, ..., Patna, Pi, Positional notation, Prime number, Punycode, Quater-imaginary base, Quipu, Radix, Rational number, Real number, Repeating decimal, Residue numeral system, Roman numerals, Sequence, Sign-value notation, Subtractive notation, Tally marks, The Art of Computer Programming, Theoretical computer science, Unary numeral system, Weight function, Word (computer architecture), Writing system, 0 (number). Expand index (24 more) »


-yllion is a proposal from Donald Knuth for the terminology and symbols of an alternate decimal superbase system.

New!!: Numeral system and -yllion · See more »


Addison-Wesley is a publisher of textbooks and computer literature.

New!!: Numeral system and Addison-Wesley · See more »

Alfred L. Kroeber

Alfred Louis Kroeber (June 11, 1876 – October 5, 1960) was an American cultural anthropologist.

New!!: Numeral system and Alfred L. Kroeber · See more »

Arithmetic progression

In mathematics, an arithmetic progression (AP) or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

New!!: Numeral system and Arithmetic progression · See more »


In logic, mathematics, and computer science, the arity of a function or operation is the number of arguments or operands the function or operation accepts.

New!!: Numeral system and Arity · See more »


Aryabhata (आर्यभट; IAST) or Aryabhata I (476–550 CE) was the first of the major mathematician-astronomers from the classical age of Indian mathematics and Indian astronomy.

New!!: Numeral system and Aryabhata · See more »


In mathematics, a bijection, bijective function or one-to-one correspondence is a function between the elements of two sets, where every element of one set is paired with exactly one element of the other set, and every element of the other set is paired with exactly one element of the first set.

New!!: Numeral system and Bijection · See more »

Bijective numeration

Bijective numeration is any numeral system in which every non-negative integer can be represented in exactly one way using a finite string of digits.

New!!: Numeral system and Bijective numeration · See more »

Binary number

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

New!!: Numeral system and Binary number · See more »


A bit is the basic unit of information in computing and digital communications.

New!!: Numeral system and Bit · See more »


Brahmagupta (ब्रह्मगुप्त) (598–c.670 CE) was an Indian mathematician and astronomer who wrote two works on mathematics and astronomy: the Brāhmasphuṭasiddhānta (Extensive Treatise of Brahma) (628), a theoretical treatise, and the Khaṇḍakhādyaka, a more practical text.

New!!: Numeral system and Brahmagupta · See more »

Cantor set

In mathematics, the Cantor set is a set of points lying on a single line segment that has a number of remarkable and deep properties.

New!!: Numeral system and Cantor set · See more »

Chinese numerals

Chinese numerals are words and characters used to denote numbers in Chinese.

New!!: Numeral system and Chinese numerals · See more »

Complex number

A complex number is a number that can be expressed in the form, where and are real numbers and is the imaginary unit, that satisfies the equation.

New!!: Numeral system and Complex number · See more »


A computer is a general-purpose device that can be programmed to carry out a set of arithmetic or logical operations automatically.

New!!: Numeral system and Computer · See more »

Computer number format

A computer number format is the internal representation of numeric values in digital computer and calculator hardware and software.

New!!: Numeral system and Computer number format · See more »

Data compression

In digital signal processing, data compression, source coding, or bit-rate reduction involves encoding information using fewer bits than the original representation.

New!!: Numeral system and Data compression · See more »


The decimal numeral system (also called base 10 or occasionally denary) has ten as its base.

New!!: Numeral system and Decimal · See more »

Donald Knuth

Donald Ervin Knuth (born January 10, 1938) is an American computer scientist, mathematician, and professor emeritus at Stanford University.

New!!: Numeral system and Donald Knuth · See more »

Egyptian numerals

The system of ancient Egyptian numerals was used in Ancient Egypt in around 3000 BC until the early first millennium AD.

New!!: Numeral system and Egyptian numerals · See more »

Elias gamma coding

Elias gamma code is a universal code encoding positive integers developed by Peter Elias.

New!!: Numeral system and Elias gamma coding · See more »


Endianness is the ordering or sequencing of bytes of a word of digital data in computer memory storage or during transmission.

New!!: Numeral system and Endianness · See more »

English language

English is a West Germanic language that was first spoken in early medieval England and is now a global lingua franca.

New!!: Numeral system and English language · See more »

Finite set

In mathematics, a finite set is a set that has a finite number of elements.

New!!: Numeral system and Finite set · See more »

Geometric progression

In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

New!!: Numeral system and Geometric progression · See more »

Gettysburg Address

The Gettysburg Address is a speech by U.S. President Abraham Lincoln, one of the best-known in American history.

New!!: Numeral system and Gettysburg Address · See more »

GNU Multiple Precision Arithmetic Library

The GNU Multiple Precision Arithmetic Library (GMP) is a free library for arbitrary-precision arithmetic, operating on signed integers, rational numbers, and floating point numbers.

New!!: Numeral system and GNU Multiple Precision Arithmetic Library · See more »

Golden ratio base

Golden ratio base is a non-integer positional numeral system that uses the golden ratio (the irrational number (1+)/2 ≈ 1.61803399 symbolized by the Greek letter φ) as its base.

New!!: Numeral system and Golden ratio base · See more »

Greek numerals

Greek numerals are a system of representing numbers using the letters of the Greek alphabet.

New!!: Numeral system and Greek numerals · See more »


In mathematics and computing, hexadecimal (also base, or hex) is a positional numeral system with a radix, or base, of 16.

New!!: Numeral system and Hexadecimal · See more »

Hindu–Arabic numeral system

The Hindu numeral system or Hindu–Arabic numeral systemDavid Eugene Smith and Louis Charles Karpinski,, 1911 is a positional decimal numeral system, nowadays the most common symbolic representation of numbers in the world.

New!!: Numeral system and Hindu–Arabic numeral system · See more »

If and only if

In logic and related fields such as mathematics and philosophy, if and only if (shortened iff) is a biconditional logical connective between statements.

New!!: Numeral system and If and only if · See more »


India, officially the Republic of India, is a country in South Asia.

New!!: Numeral system and India · See more »


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

New!!: Numeral system and Integer · See more »


Language is the ability to acquire and use complex systems of communication, particularly the human ability to do so, and a language is any specific example of such a system.

New!!: Numeral system and Language · See more »

List of numeral system topics

This is a list of Wikipedia articles on topics of numeral system and "numeric representations" See also: computer numbering formats and number names.

New!!: Numeral system and List of numeral system topics · See more »

List of numeral systems

This is a list of numeral systems, that is, writing systems for expressing numbers.

New!!: Numeral system and List of numeral systems · See more »


In mathematics, the logarithm is the inverse operation to exponentiation.

New!!: Numeral system and Logarithm · See more »

Long and short scales

The long and short scales are two of several large-number naming systems for integer powers of ten, that use the same words with different meanings:;Long scale: Every new term greater than million is one million times larger than the previous term.

New!!: Numeral system and Long and short scales · See more »

Mathematical notation

Mathematical notation is a system of symbolic representations of mathematical objects and ideas.

New!!: Numeral system and Mathematical notation · See more »

Mixed radix

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

New!!: Numeral system and Mixed radix · See more »

Natural number

In mathematics, the natural numbers (sometimes called the whole numbers): "whole number An integer, though sometimes it is taken to mean only non-negative integers, or just the positive integers." give definitions of "whole number" under several headwords: INTEGER … Syn. whole number.

New!!: Numeral system and Natural number · See more »


A number is a mathematical object used to count, measure and label.

New!!: Numeral system and Number · See more »

Numeral (linguistics)

In linguistics, a numeral is a member of a word class (or sometimes even a part of speech) designating numbers, such as the English word 'two' and the compound 'seventy-seven'.

New!!: Numeral system and Numeral (linguistics) · See more »

Numerical cognition

Numerical cognition is a subdiscipline of cognitive science that studies the cognitive, developmental and neural bases of numbers and mathematics.

New!!: Numeral system and Numerical cognition · See more »

Numerical digit

A digit is a numeric symbol (such as "2" or "5") used in combinations (such as "25") to represent numbers (such as the number 25) in positional numeral systems.

New!!: Numeral system and Numerical digit · See more »


The octal numeral system, or oct for short, is the base-8 number system, and uses the digits 0 to 7.

New!!: Numeral system and Octal · See more »

Order of magnitude

Orders of magnitude are written in powers of 10.

New!!: Numeral system and Order of magnitude · See more »


An overline, overscore, or overbar, is a typographical feature of a horizontal line drawn immediately above the text.

New!!: Numeral system and Overline · See more »

P-adic number

In mathematics the -adic number system for any prime number extends the ordinary arithmetic of the rational numbers in a way different from the extension of the rational number system to the real and complex number systems.

New!!: Numeral system and P-adic number · See more »


Patna is the capital and largest city of the state of Bihar in India.

New!!: Numeral system and Patna · See more »


The number is a mathematical constant, the ratio of a circle's circumference to its diameter, commonly approximated as 3.14159.

New!!: Numeral system and Pi · See more »

Positional notation

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

New!!: Numeral system and Positional notation · See more »

Prime number

A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself.

New!!: Numeral system and Prime number · See more »


Punycode is a way to represent Unicode with the limited character subset of ASCII supported by the Domain Name System.

New!!: Numeral system and Punycode · See more »

Quater-imaginary base

The quater-imaginary numeral system was first proposed by Donald Knuth in 1955, in a submission to a high-school science talent search.

New!!: Numeral system and Quater-imaginary base · See more »


Quipus, sometimes known as khipus or talking knots, were recording devices historically used in the region of Andean South America.

New!!: Numeral system and Quipu · See more »


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.

New!!: Numeral system and Radix · See more »

Rational number

In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, p and q, with the denominator q not equal to zero.

New!!: Numeral system and Rational number · See more »

Real number

In mathematics, a real number is a value that represents a quantity along a continuous line.

New!!: Numeral system and Real number · See more »

Repeating decimal

A repeating or recurring decimal is a way of representing rational numbers in base 10 arithmetic.

New!!: Numeral system and Repeating decimal · See more »

Residue numeral system

A residue numeral system (RNS) represents a large integer using a set of smaller integers, so that computation may be performed more efficiently.

New!!: Numeral system and Residue numeral system · See more »

Roman numerals

Roman numerals, the numeric system used in ancient Rome, employs combinations of letters from the Latin alphabet to signify values.

New!!: Numeral system and Roman numerals · See more »


In mathematics, a sequence is an ordered collection of objects in which repetitions are allowed.

New!!: Numeral system and Sequence · See more »

Sign-value notation

A sign-value notation represents numbers by a series of numeric signs that added together equal the number represented.

New!!: Numeral system and Sign-value notation · See more »

Subtractive notation

Subtractive notation is an early form of positional notation used with Roman numerals as a shorthand to replace four or five characters in a numeral representing a number with usually just two characters.

New!!: Numeral system and Subtractive notation · See more »

Tally marks

Tally marks, also called hash marks, are a unary numeral system.

New!!: Numeral system and Tally marks · See more »

The Art of Computer Programming

The Art of Computer Programming (sometimes known by its initials TAOCP) is a comprehensive monograph written by Donald Knuth that covers many kinds of programming algorithms and their analysis.

New!!: Numeral system and The Art of Computer Programming · See more »

Theoretical computer science

Theoretical computer science is a division or subset of general computer science and mathematics that focuses on more abstract or mathematical aspects of computing and includes the theory of computation.

New!!: Numeral system and Theoretical computer science · See more »

Unary numeral system

The unary numeral system is the bijective base-1 numeral system.

New!!: Numeral system and Unary numeral system · See more »

Weight function

A weight function is a mathematical device used when performing a sum, integral, or average to give some elements more "weight" or influence on the result than other elements in the same set.

New!!: Numeral system and Weight function · See more »

Word (computer architecture)

In computing, word is a term for the natural unit of data used by a particular processor design.

New!!: Numeral system and Word (computer architecture) · See more »

Writing system

A writing system is any conventional method of visually representing verbal communication.

New!!: Numeral system and Writing system · See more »

0 (number)

0 (zero; BrE: or AmE) is both a number and the numerical digit used to represent that number in numerals.

New!!: Numeral system and 0 (number) · See more »

Redirects here:

0-9, 0–9, Bases and number systems, Counting system, Counting systems, Generalized variable-length integers, History of writing numbers, Number writing system, Numbering systems, Numeral (writing), Numeral systems, Numeration, Numeric symbology, Numeric system, Numerical base, Scale of notation.


[1] https://en.wikipedia.org/wiki/Numeral_system

Hey! We are on Facebook now! »