Hexadecimal Notation/Examples/12C

Example of Hexadecimal Notation

The integer expressed in decimal as $300$ is expressed in hexadecimal as $12 \mathrm C$.


Proof

\(\ds 12 \mathrm C_{1 6}\) \(=\) \(\ds 1 \times 16^2 + 2 \times 16 + 12\)
\(\ds \) \(=\) \(\ds 256 + 32 + 12\)
\(\ds \) \(=\) \(\ds 300\)

$\blacksquare$


Sources

  • 1971: George E. Andrews: Number Theory ... (previous) ... (next): $\text {1-2}$ The Basis Representation Theorem: Example $\text {1-3}$