Hexadecimal Notation/Examples/2B7E
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Example of Hexadecimal Notation
The integer expressed in hexadecimal as $2 \mathrm B 7 \mathrm E$ is expressed in decimal as $11 \, 134$.
Proof
\(\ds 2 \mathrm B 7 \mathrm E\) | \(=\) | \(\ds 2 \times 16^3 + 11 \times 16^2 + 7 \times 16 + 14\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 8192 + 2816 + 112 + 14\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 11 \, 134\) |
$\blacksquare$
Sources
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): hexadecimal