Octal Notation/Examples/371.24
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Example of Octal Notation
The integer expressed in octal as $371 \cdotp 24$ is expressed in decimal to $2$ decimal places as $249 \cdotp 31$.
Proof
| \(\ds 371 \cdotp 24_8\) | \(=\) | \(\ds 3 \times 8^2 + 7 \times 8 + 1 + 2 \times 8^{-1} + 4 \times 8^{-2}\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 192 + 56 + 1 + 0.25 + 0.0625\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 249 \cdotp 3125\) | ||||||||||||
| \(\ds \) | \(\approx\) | \(\ds 249 \cdotp 31\) |
$\blacksquare$
Sources
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): octal