Radix

In a <a href="/facts/Positional_numeral_system/31DECoN4">positional numeral system</a>, the radix (pl.: radices) or base is the number of unique <a href="/facts/Numerical_digit/JJdLBoGT">digits</a>, including the digit zero, used to represent numbers. For example, for the <a href="/facts/Decimal/7omfVNIM">decimal system</a> (the most common system in use today) the radix is ten, because it uses the ten digits from 0 through 9.
In any standard positional numeral system, a number is conventionally written as (x)y with x as the <a href="/facts/String_(computer_science)/4ChJu5WS">string</a> of digits and y as its base. For base ten, the subscript is usually assumed and omitted (together with the enclosing <a href="/facts/Parentheses/yzGM9J8A">parentheses</a>), as it is the most common way to express <a href="/facts/Value_(mathematics)/mGYQu2xt">value</a>. 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 <a href="/facts/Binary_system_(numeral)/a6JDSRPs">binary system</a> with base 2) represents the number four.

Radix open-in-new

Radix