duodecimal digit
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Definition
- Noun:
- A digit from 0 to 11 in duodecimal notation: A duodecimal digit is a single symbol used to represent a numerical value in the base-12 (duodecimal) number system. This system requires twelve distinct digit symbols, typically 0 through 9 and then two additional symbols (often represented as A and B, or other notations, for the values ten and eleven).
Usage Examples
- Noun:
- In duodecimal, the digit 'A' represents the decimal value ten.
- To write the decimal number fifteen in duodecimal notation, you use the digits '1' and '3', making it '13'.
- The duodecimal digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, and B.
Advanced Usage
- In mathematical contexts: The concept is primarily used in discussions of alternative numeral systems, computer science (e.g., some historical or specialized computing applications), and theoretical mathematics.
- The advantage of a duodecimal system is that 12 has more divisors than 10, which can simplify fractions.
Variants and Related Words
- Duodecimal (adj): Relating to or based on the number twelve.
- A duodecimal clock divides the day into two sets of twelve hours.
- Duodecimal system/notation (n): The base-12 positional numeral system.
- Duodecimal notation is less common than decimal notation.
Synonyms
- Base-12 digit: A digit used in the base-12 number system. (This is a direct synonym describing the same concept.)
Related Phrases and Concepts
- Place value in duodecimal: The value of a digit depends on its position, multiplied by powers of twelve.
- In the duodecimal number '1A', the '1' represents one twelve, and the 'A' represents ten units.
- Carry-over/Regrouping in duodecimal: The process in arithmetic when a sum of digits in a column reaches or exceeds twelve.
- When adding duodecimal digits, remember that 9 + A results in 17 (decimal), which is '15' in duodecimal, so you write down '5' and carry the '1'.
Noun
- a digit from 0 to 11 in duodecimal notation