Number Base/Examples/5/25

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 $1$
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