Definition:Digit

Definition
Let $$n$$ be a number expressed in a particular number base, $$b$$ for example.

Then $$n$$ can be expressed as:


 * $$\left[{r_m r_{m-1} \ldots r_2 r_1 r_0 . r_{-1} r_{-2} \ldots}\right]_b$$

where:
 * $$m$$ is such that $$b^m \le n < b^{m+1}$$;
 * all the $$r_i$$ are such that $$0 \le r_i < b$$.

Each of the $$r_i$$ are known as the digits of $$n$$ (base $$b$$).