Duodecimal System/Examples/Arbitrary Example 1
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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