Duodecimal Notation/Examples/Arbitrary Example 1

Example of Duodecimal Notation

The number written in decimal notation as:

$1139_{10}$

is expressed in duodecimal notation as:

$7 \mathrm A \mathrm B_{12}$

where:

$\mathrm A$ denotes $10$
$\mathrm B$ denotes $11$.


Proof

\(\ds 1139_{10}\) \(=\) \(\ds \paren {7 \times 12^2} + \paren {10 \times 12^1} + \paren {11 \times 12^0}\)
\(\ds \) \(=\) \(\ds 7 \mathrm A \mathrm B_{12}\)

$\blacksquare$


Sources

  • 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): duodecimal system
  • 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): duodecimal system
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