Skip to content
octal

File:Bagua-name-earlier.svg · Wikimedia Commons · See Wikimedia Commons

EntityQ76463· pop 68· linked from 699 articles

Also known as oct, base 8, base 8 numbering, base-8, base eight

Octal is a numeral system for representing a numeric value as base 8. Generally, an octal digit is represented as "0" to "7" with the same value as for decimal but with each place a power of 8. For example:

AI overview

Octal is a number system that uses eight digits (0 through 7) instead of the ten digits (0 through 9) we normally use, with each position representing a power of 8 rather than a power of 10. It has been useful in computing because it provides a compact way to represent binary data, since each octal digit corresponds neatly to three binary digits.

AI-generated from the Wikipedia summary — may contain errors.

~22 min read

Encyclopedic overview

24 sections
Contents
  • Multiplication table
  • Usage
  • In China
  • By Native Americans
  • By Europeans
  • {{anchor|\nnn}}In computers
  • In aviation
  • Conversion between bases
  • Decimal to octal conversion
  • Method of successive Euclidean division by 8
  • Method of successive multiplication by 8
  • Method of successive duplication
  • Octal to decimal conversion
  • Method of successive duplication
  • Octal to binary conversion
  • Binary to octal conversion
  • Octal to hexadecimal conversion
  • Hexadecimal to octal conversion
  • Real numbers
  • Fractions
  • Irrational numbers
  • See also
  • References
  • External links

Octal is a numeral system for representing a numeric value as base 8. Generally, an octal digit is represented as "0" to "7" with the same value as for decimal but with each place a power of 8. For example: \mathbf{112}_8 = \mathbf{1} \times 8^2 + \mathbf{1} \times 8^1 + \mathbf{2} \times 8^0

In decimal, each place is a power of ten. For example: \mathbf{74}_{10} = \mathbf{7} \times 10^1 + \mathbf{4} \times 10^0

Excerpted from Wikipedia’s “octal” article, available under the CC BY-SA 4.0 licence.

Gallery (3)