Radix
From The Art and Popular Culture Encyclopedia
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In a positional numeral system, the radix or base is the number of unique digits, including the digit zero, used to represent numbers. For example, for the decimal/denary system (the most common system in use today) the radix (base number) is ten, because it uses the ten digits from 0 through 9.
In any standard positional numeral system, a number is conventionally written as Template:Nowrap with x as the string of digits and y as its base, although for base ten the subscript is usually assumed (and omitted, together with the pair of parentheses), as it is the most common way to express value. For example, (100)_{10} is equivalent to 100 (the decimal system is implied in the latter) and represents the number one hundred, while (100)_{2} (in the binary system with base 2) represents the number four.
See also
- Base (exponentiation)
- Mixed radix
- Polynomial
- Radix economy
- Radix sort
- Non-standard positional numeral systems