Radix point

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 the number (to the left of the radix point) from its fractional part (to the right of the radix point). In base-10 notation, the radix point is more commonly called the decimal point. "Radix point" is a general term that applies to all number bases (the prefix "deci-" implies base-10). Binary point implies base-2.

In English-speaking countries, the radix point is usually a small dot (.), placed either on the baseline or halfway between the baseline and the top of the numerals. In other regions, a comma (,) is usually used instead; see decimal separator for further information.

Example in base 10: 100.5

:100 is the integer to the left of the radix point, and 5 (meaning 5/10, or 1/2) is the fractional part to the right.

Example in binary: 1101.101

The binary number 1101.101 has the following digits:

power of 2: 3 2 1 0 -1 -2 -3 binary digit: 1 1 0 1 . 1 0 1
And has a decimal value of:
= 1*2^3 + 1*2^2 + 0*2^1 + 1*2^0 + 1*2^-1 + 0*2^-2 + 1*2^-3= 1*8 + 1*4 + 0*2 + 1*1 + 1*0.5 + 0*0.25 + 1*0.125= 8 + 4 + 0 + 1 + 0.5 + 0 + 0.125= 13.625

:"1101" to the left of the radix point is the binary representation of the base-10 number 13. To the right of the radix point is "101", which is the binary representation of the fraction 625/1000.


Wikimedia Foundation. 2010.

Игры ⚽ Поможем сделать НИР

Look at other dictionaries:

  • Radix Point —   [engl.], ein Dezimaltrennzeichen, z. B. das Dezimalkomma …   Universal-Lexikon

  • radix point — noun The character used to separate the integer and fractional part of a number in a digital representation of a number, regardless of the base used …   Wiktionary

  • Radix (disambiguation) — Radix can refer to: *Radix, another word for mathematical bases *In botany, radix is the root of a plant **Also used for dorsal root and ventral root in anatomy. Derived terms e.g. radiculoneuropathy * Radix (novel), a science fiction novel by A …   Wikipedia

  • Point — may refer to the following: Contents 1 Business and finance 2 Engineering 3 Entertainment …   Wikipedia

  • Radix (Roman) — Cet article fait partie de la série Science fiction La SF à l’écran autre A B C …   Wikipédia en Français

  • Radix sort — In computer science, radix sort is a sorting algorithm that sorts integers by processing individual digits. Because integers can represent strings of characters (e.g., names or dates) and specially formatted floating point numbers, radix sort is… …   Wikipedia

  • Radix (roman) — Sur les autres projets Wikimedia : « Radix (roman) », sur Wikiquote (recueil de citations) Radix (titre original : Radix) est un roman de science fiction post apocalyptique de l auteur américain A. A. Attanasio paru en 1981.… …   Wikipédia en Français

  • Radix tree — In computer science, a radix tree (also patricia trie or radix trie) is a space optimized trie data structure where each node with only one child is merged with its child. The result is that every internal node has at least two children. Unlike… …   Wikipedia

  • radix caudae — (plural radices caudae)) caudal peduncle (the wrist like portion of the posterior part of the body between the end of the anal fin and the base of the caudal fin. Its length is measured between the insertion of the anal fin and the caudal flexure …   Dictionary of ichthyology

  • Floating point — In computing, floating point describes a method of representing real numbers in a way that can support a wide range of values. Numbers are, in general, represented approximately to a fixed number of significant digits and scaled using an exponent …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”