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octal
Sign in to saveAlso 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:
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.
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Encyclopedic overview
24 sectionsContents
- 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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