A Source taking values in a discrete set where all are identically distributed and independent is called a Discrete Memoryless Source. Sometimes it is also called a Bernoulli Source. Theorem A DMS satisfies Asymptotic Equipartition Property with entropy equal to Mathematical Entropy Proof Let be the distribution of and distribution of Then: Set , the Information Content of and use Weak Law of Large Numbers for to find: Hence satisfies Asymptotic Equipartition Property with entropy