Octal
The base 8 notational system for representing real numbers. The digits used are 0, 1, 2, 3, 4, 5, 6, and 7, so that (8 in base 10) is represented
as
(
) in base 8. The following table gives
the octal equivalents of the first few decimal numbers.
| 1 | 1 | 11 | 13 | 21 | 25 |
| 2 | 2 | 12 | 14 | 22 | 26 |
| 3 | 3 | 13 | 15 | 23 | 27 |
| 4 | 4 | 14 | 16 | 24 | 30 |
| 5 | 5 | 15 | 17 | 25 | 31 |
| 6 | 6 | 16 | 20 | 26 | 32 |
| 7 | 7 | 17 | 21 | 27 | 33 |
| 8 | 10 | 18 | 22 | 28 | 34 |
| 9 | 11 | 19 | 23 | 29 | 35 |
| 10 | 12 | 20 | 24 | 30 | 36 |
The song "New Math" by Tom Lehrer (That Was the Year That Was, 1965) explains how to compute in octal. (The answer is
.)
See also
Base, Binary, Decimal, Hexadecimal, Quaternary, TernaryExplore with Wolfram|Alpha
References
Lauwerier, H. Fractals: Endlessly Repeated Geometric Figures. Princeton, NJ: Princeton University Press, pp. 9-10, 1991.Wells, D. The Penguin Dictionary of Curious and Interesting Numbers. Middlesex, England: Penguin Books, pp. 72-73, 1986.Referenced on Wolfram|Alpha
OctalCite this as:
Weisstein, Eric W. "Octal." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Octal.html