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octal

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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.

In the Vinony graph

Vinony's link graph records 699 inbound references to octal, and connects out to environment variable, Multiuser DOS and Burroughs large systems.

It is catalogued under topics including 8 (number), Binary arithmetic and Power-of-two numeral systems.

Vinony links it to 67 Wikipedia language editions.

Wikidata facts

Instance of: positional numeral system
Followed by: nonary
Follows: septenary

Show 2 more facts

radix: 8
maintained by WikiProject: WikiProject Mathematics

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~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.

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Categories

8 (number)Binary arithmetic Power-of-two numeral systems