In mathematical numeral systems, the radix or base is the number of unique digits, including zero, that a positional numeral system uses to represent numbers. For example, for the decimal system (the most common system in use today) the radix is ten, because it uses the ten digits from 0 through 9.
In any numeral system, the base is written as "10" in that base. In a base ten numeral system, "10" represents the number ten; in a base two system, "10" represents the number two.
Radix is a Latin word for "root". Root can be considered a synonym for base in the arithmetical sense.
In the system with radix 13, for example, a string of digits such as 398 denotes the decimal number Failed to parse (Missing texvc executable; please see math/README to configure.): 3 \times 13^2 + 9 \times 13^1 + 8 \times 13^0 . More generally, in a system with radix b (b > 1), a string of digits Failed to parse (Missing texvc executable; please see math/README to configure.): d_1 \ldots d_n
.
Commonly used numeral systems include:
Kill your hate
Gotta reborn
Feed your faith
No more pain, no more
Let your soul
Fly away
Let it flow
In your veins
Cause the truth is in our hearts
Forget your flesh
Got to save your soul
You will find the truth
Inside you!