Number Base/Examples/5/32
< Number Base/Examples | 5
Jump to navigation
Jump to search
Example of Number expressed in Base $5$ Notation
The integer expressed in decimal as $32$ is expressed in base $5$ as $112_5$.
Proof
| \(\ds 32\) | \(=\) | \(\ds 1 \times 5^2 + 1 \times 5 + 2\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 25 + 5 + 2\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 112_5\) |
$\blacksquare$
Sources
- 1971: George E. Andrews: Number Theory ... (previous) ... (next): $\text {1-2}$ The Basis Representation Theorem: Exercise $1$