Set of Finite Strings/Examples/Over Two Elements

Example of Set of Finite Strings
Let $\Sigma$ be the alphabet defined as:
 * $\Sigma = \set {0, 1}$

Then the set of finite strings $\Sigma^*$ over $\Sigma$ is:
 * $\Sigma^* = \set {\epsilon, 0, 1, 00, 01, 10, 11, 000, 001, \ldots}$

where $\epsilon$ denotes the null string.