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Encyclopedia > Radix point

In mathematics, radix point refers to the symbol used in numerical representations to separate the integral part of the number (to the left of the radix) from its fractional part (to the right of the radix). The radix point is usually a small dot, either placed on the baseline or halfway between the baseline and the top of the numerals. In base-10, the radix point is more commonly called the decimal point. However, radix point is the more general term used for other bases, since the "deci-" in decimal point implies 10. Euclid, detail from The School of Athens by Raphael. ... The radix (Latin for root), also called base, is the number of various unique symbols (or digits or numerals) a positional numeral system uses to represent numbers. ... The integers consist of the positive natural numbers (1, 2, 3, …), their negatives (−1, −2, −3, ...) and the number zero. ... A cake divided into four equal quarters. ... A numeral is a symbol or group of symbols that represents a number. ... The decimal separator is used to mark the boundary between the integer and the fractional parts of a decimal numeral. ...


Example in base 10: 100.5


100 is the integer to the left of the radix point and 5 is the fractional part to the right.


Example in base 2: 1100100.1


1100100 to the left of the radix is the binary representation for 100 base 10. To the right of the radix point is 1 which is the binary representation of the fraction 1/2.


Note that in many non-English speaking countries, a comma ',' is used instead of a point or small dot '.' (see the entry on decimal separator for a more complete list). The English language is a West Germanic language that originates in England. ... The decimal separator is a symbol used to mark the boundary between the integer and the fractional parts of a decimal numeral. ...



 

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