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