Math Home Search Dr. Fraction conversion to other bases What are the rules for converting fractions to binary and octal and vice versa? I've searched the archives and I only saw questions pertaining to whole numbers.
This practice derived from the decimal system used in Indian mathematics  and was popularized by the Persian mathematician Al-Khwarizmi when Latin translation of his work on the Indian numerals introduced the decimal positional number system to the Western world.
His Compendious Book on Calculation by Completion and Balancing presented the first systematic solution of linear and quadratic equations in Arabic. A similar notation remains in common use as an underbar to superscript digits, especially for monetary values without a decimal separator, e.
Later, a "separatrix" a short, roughly vertical ink stroke between the units and tenths position became the norm among Arab mathematicians e. In Francethe full stop was already in use in printing to make Roman numerals more readable, so the comma was chosen.
In some countries, a raised dot or dash upper comma may be used for grouping or decimal separator; this is particularly common in handwriting. In the United Statesthe full stop or period. Decimal separator in a British print from  In the nations of the British Empirealthough the full stop could be used in typewritten material and its use was not banned, the interpunct also known as the decimal point, point, or mid dot was preferred for the decimal separator in printing technologies that could accommodate it, e.
During the beginning of British metrication in the late s and with impending currency decimalisationthere was some debate in the United Kingdom as to whether the decimal comma or decimal point should be preferred: In the event, the point was chosen by the Ministry of Technology in Interlingua has used the comma as its decimal separator since the publication of the Interlingua Grammar in Ido's Kompleta Gramatiko Detaloza di la Linguo Internaciona Ido Complete Detailed Grammar of the International Language Ido officially states that commas are used for the decimal separator while full stops are used to separate thousands, millions, etc.
So the number 12, Current standards[ edit ] The 22nd General Conference on Weights and Measures declared in that "the symbol for the decimal marker shall be either the point on the line or the comma on the line".
It further reaffirmed that "numbers may be divided in groups of three in order to facilitate reading; neither dots nor commas are ever inserted in the spaces between groups"  e. This usage has therefore been recommended by technical organizations, such as the United States' National Institute of Standards and Technology.
In some countries, these "digit group separators" are only employed to the left of the decimal separator; in others, they are also used to separate numbers with a long fractional part. Since the use of spaces as separators for example: The groups created by the delimiters tend to follow the use of the local language, which varies.
In European languages, large numbers are read in groups of thousands and the delimiter which occurs every three digits when it is used may be called a "thousands separator". In East Asian culturesparticularly ChinaJapanand Korealarge numbers are read in groups of myriads 10,s but the delimiter commonly separates every three digits.
One trillion would thus be written as 10,00,00,00,00, or 10 kharab. Traditionally, English-speaking countries employed commas as the delimiter — 10, — and other European countries employed periods or spaces: Data versus mask[ edit ] Digit group separators can occur either as part of the data or as a mask through which the data is displayed.
This is an example of the separation of presentation and contentmaking it possible to display numbers with spaced digit grouping in a way that does not insert any whitespace characters into the string of digits in the content.
In many computing contexts, it is preferred to omit digit group separators from the data and instead overlay them as a mask an input mask or an output mask.
Common examples include spreadsheets and databases in which currency values are entered without such marks but are displayed with them inserted.
In web contentsuch digit grouping can be done with CSS style. It is useful because the number can be copied and pasted into calculators including a web browser's omnibox and parsed by the computer as-is without the user manually purging the extraneous characters.
For example, Wikipedia content can display numbers this way, as in the following examples: In some programming languagesit is possible to group the digits in the program's source code to make it easier to read; see Integer literal:knbt1 Compose and decompose numbers from 11 to 19 into ten ones and some further ones, e.g., by using objects or drawings, and record each composition or decomposition by a drawing or equation (e.g., 18 = 10 + 8]; understand that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones.
Sep 26, · Fraction/Decimal Conversion to Other Bases Date: 08/12/98 at From: Celestine Trinidad Subject: Fraction conversion to other bases What are the rules for converting fractions to binary and octal and vice versa? A fraction (from Latin fractus, "broken") represents a part of a whole or, more generally, any number of equal regardbouddhiste.com spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.
I'm Fraction Calculator Plus and I'm the best and easiest way to deal with everyday fraction problems. Whether you're checking homework, preparing recipes, or working on craft or even construction projects, I . Mathematics Glossary» Glossary Print this page. Addition and subtraction within 5, 10, 20, , or Addition or subtraction of two whole numbers with whole number answers, and with sum or minuend in the range , , , or , respectively.
An irrational number is a number that cannot be expressed as a fraction p/q for any integers p and q. Irrational numbers have decimal expansions that neither terminate nor become periodic. Every transcendental number is irrational.
There is no standard notation for the set of irrational numbers, but the notations Q^_, R-Q, or R\Q, where the bar, minus sign, or backslash indicates the set.