octal numeration system

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octal numeration system

A computer scientist writes a number using the octal numeration system on a whiteboard.

Definition
  1. Noun:
    • A positional numeral system using base eight: The octal numeration system is a method of representing numbers using only eight distinct symbols (typically 0 through 7). Each digit's value depends on its position, with each place representing a successive power of eight.
Usage
  • The octal numeration system is primarily used in computing contexts, especially in systems where a grouping of three binary digits (bits) is convenient, as eight corresponds to 2³.
  • It is a less common base system compared to the ubiquitous decimal (base-10) or the computing-standard hexadecimal (base-16) systems.
Examples
  • Noun:
    • In the octal numeration system, the decimal number 10 is written as 12.
    • Early computer systems sometimes displayed memory addresses using the octal numeration system.
    • Converting from binary to the octal numeration system is straightforward because three binary digits map directly to one octal digit.
Advanced Usage
  • "Octal notation": Often used synonymously with "octal numeration system" to refer to the symbolic representation itself.
    • The permission settings in Unix-like operating systems are frequently expressed in octal notation.
Variants and Related Words
  • Octal (adj): Pertaining to or using the base-eight system.
    • An octal number.
  • Octal digit (n): Any of the eight symbols (0, 1, 2, 3, 4, 5, 6, 7) used in this system.
  • Base-8 system: Another term for the octal numeration system.
Synonyms
  • Base-8 system: A direct synonym describing the system by its radix.
  • Octal system: A common shortened form.
Related Phrases
  • Octal representation: The specific form a number takes when written in the octal system.
    • Find the octal representation of the decimal value 64.
octal numeration system

A computer scientist writes a number using the octal numeration system on a whiteboard.

Noun
  1. a positional system of numeration that uses octal digits and a radix of eight

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