Number Base/Examples/8/4703
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Example of Number expressed in Base $8$ Notation
The integer expressed in decimal as $4703$ is expressed in base $8$ as $11137_8$.
Proof
| \(\ds 4703\) | \(=\) | \(\ds 1 \times 8^4 + 1 \times 8^3 + 1 \times 8^2 + 3 \times 8^1 + 7 \times 8^0\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 4096 + 512 + 64 + 24 + 7\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 11137_5\) |
$\blacksquare$
Sources
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): base (for representation of numbers)
- 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): base (for representation of numbers)