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duodecimal
Sign in to saveAlso known as base twelve, dozenal system, dozenal, base 12, duodecimal system
The duodecimal system, also known as base twelve or dozenal (from dozen), is a positional numeral system using twelve as its base. In duodecimal, the number twelve is denoted "10", meaning 1 twelve and 0 units; in the decimal system, this number is instead written as "12" meaning 1 ten and 2 units, and the string "10" means ten. In duodecimal, "100" means twelve squared (144), "1,000" means twelve cubed (1,728), and "0.1" means a twelfth (0.08333...).
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19 sectionsContents
- Origin
- Notations and pronunciations
- Transdecimal symbols
- Base notation<span class="anchor" id="Humphrey point"></span>
- Pronunciation
- Advocacy and "dozenalism"
- In media
- Duodecimal systems of measurements
- Comparison to other number systems
- Conversion tables to and from decimal
- Duodecimal to decimal digit conversion
- Decimal to duodecimal digit conversion
- Fractions and irrational numbers
- Fractions
- Recurring digits
- Irrational numbers
- See also
- References
- External links
The duodecimal system, also known as base twelve or dozenal (from dozen), is a positional numeral system using twelve as its base. In duodecimal, the number twelve is denoted "10", meaning 1 twelve and 0 units; in the decimal system, this number is instead written as "12" meaning 1 ten and 2 units, and the string "10" means ten. In duodecimal, "100" means twelve squared (144), "1,000" means twelve cubed (1,728), and "0.1" means a twelfth (0.08333...).
Various symbols have been used to stand for ten and eleven in duodecimal notation; this page uses and , as in hexadecimal, which make a duodecimal count from zero to twelve read: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, , , 10. The Dozenal Societies of America and Great Britain (organisations promoting the use of duodecimal) use turned digits in their published material: 2 or ↊ (a turned 2) for ten (dek, pronounced /dɛk/) and 3 or ↋ (a turned 3) for eleven (el, pronounced /ɛl/).