Digital Symbols

Why

We want to associate the elements of some finite set with bit strings.

Definition

Suppose $X$ is a finite set with $n$ elements and $x: \upto{n} \to X$ is an ordering of $X$. The digital symbol associated with $x_i \in X$ is the digital integer associated with the natural number $i$.

In this context $X$ is called sometimes called an alphabet or symbol set.