Hexadecimal Notation/Examples/6C5

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Example of Hexadecimal Notation

The integer expressed in hexadecimal as $6 \mathrm C 5$ is expressed in decimal as $1733$.


Proof

\(\ds 6 \mathrm C 5_{1 6}\) \(=\) \(\ds 6 \times 16^2 + 12 \times 16 + 5\)
\(\ds \) \(=\) \(\ds 1536 + 192 + 5\)
\(\ds \) \(=\) \(\ds 1733\)

$\blacksquare$


Sources