<span class="mw-page-title-main">Duodecimal</span>

Duodecimal

The duodecimal system is a positional notation numeral system using twelve as its base. The number twelve is instead written as "10" in duodecimal , whereas the digit string "12" means "1 dozen and 2 units" . Similarly, in duodecimal, "100" means "1 gross", "1000" means "1 great gross", and "0.1" means "1 twelfth" . Various symbols have been used to stand for ten and eleven in duodecimal notation; this page uses A and B, as in hexadecimal, which make a duodecimal count from zero to twelve read 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, 10. The Dozenal Societies of America and Great Britain use turned digits in their published material: ↊ for ten and ↋ for eleven. The number twelve, a superior highly composite number, is the smallest number with four non-trivial factors , and the smallest to include as factors all four numbers within the subitizing range, and the smallest abundant number. All multiples of reciprocals of 3-smooth numbers ;height:1px;margin:-1px;overflow:hidden;padding:0;position:absolute;width:1px}a/2b·3c where a,b,c are integers) have a terminating representation in duodecimal. In particular, .mw-parser-output .frac{white-space:nowrap}.mw-parser-output .frac .num,.mw-parser-output .frac .den{font-size:80%;line-height:0;vertical-align:super}.mw-parser-output .frac .den{vertical-align:sub}.mw-parser-output .sr-only{border:0;clip:rect ;height:1px;margin:-1px;overflow:hidden;padding:0;position:absolute;width:1px}+1⁄4  , +1⁄3  , +1⁄2  , +2⁄3  , and +3⁄4  all have a short terminating representation in duodecimal. There is also higher regularity observable in the duodecimal multiplication table. As a result, duodecimal has been described as the optimal number system. 