Number Base/Examples/5/25
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Example of Number expressed in Base $5$ Notation
The integer expressed in decimal as $25$ is expressed in base $5$ as $100_5$.
Proof
| \(\ds 25\) | \(=\) | \(\ds 1 \times 5^2 + 0 \times 5 + 0\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 25 + 0 + 0\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 100_5\) |
$\blacksquare$
Sources
- 1971: George E. Andrews: Number Theory ... (previous) ... (next): $\text {1-2}$ The Basis Representation Theorem: Exercise $1$