duodecimal - traduzione in arabo
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duodecimal - traduzione in arabo

BASE TWELVE NUMBER SYSTEM
Dozenal Society of Great Britain; Dozenal Society of America; Base 12; Dozenal; American Dozenal Society; Base-12; Base twelve; Duodenary; Base12; Duo-decimal; ↊; ↋; Duodecimal Society of America; The Duodecimal Society of America; The Dozenal Society of America; Humphrey point; The Dozenal Society of Great Britain; Duodecimal Society of Great Britain; The Duodecimal Society of Great Britain; Base 144; Dozenalism; Dozenalist; Dozenal system
  • alt=rotated digit two
  • alt=reversed or rotated digit three
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  • musical keys]]

DUODECIMAL         

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duodecimal

Definizione

duodecimal
[?dju:?(?)'d?s?m(?)l]
¦ adjective relating to or denoting a system of counting or numerical notation that has twelve as a base.
Derivatives
duodecimally adverb
Origin
C17: from L. duodecimus 'twelfth' + -al.

Wikipedia

Duodecimal

The duodecimal system (also known as base 12, dozenal, or, rarely, uncial) is a positional notation numeral system using twelve as its base. The number twelve (that is, the number written as "12" in the decimal numerical system) is instead written as "10" in duodecimal (meaning "1 dozen and 0 units", instead of "1 ten and 0 units"), whereas the digit string "12" means "1 dozen and 2 units" (decimal 14). Similarly, in duodecimal, "100" means "1 gross", "1000" means "1 great gross", and "0.1" means "1 twelfth" (instead of their decimal meanings "1 hundred", "1 thousand", and "1 tenth", respectively).

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 (organisations promoting the use of duodecimal) use turned digits in their published material: ↊ (a turned 2) for ten and ↋ (a turned 3) for eleven.

The number twelve, a superior highly composite number, is the smallest number with four non-trivial factors (2, 3, 4, 6), and the smallest to include as factors all four numbers (1 to 4) within the subitizing range, and the smallest abundant number. All multiples of reciprocals of 3-smooth numbers (a/2b·3c where a,b,c are integers) have a terminating representation in duodecimal. In particular, +14 (0.3), +13 (0.4), +12 (0.6), +23 (0.8), and +34 (0.9) 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.

In these respects, duodecimal is considered superior to decimal (which has only 2 and 5 as factors) and other proposed bases like octal or hexadecimal. Sexagesimal does even better in this respect (the reciprocals of all 5-smooth numbers terminate), but at the cost of unwieldy multiplication tables and a much larger number of symbols to memorize.