Given a string of values $AAAAAAAABC$, the Shannon Entropy in log base $2$ comes to $0.922$. From what I understand, in base $2$ the Shannon Entropy rounded up is the minimum number of bits in binary to represent a single one of the values. Taken from the introduction on this wikipedia page: https://en.wikipedia.org/wiki/Entropy_%28information_theory%29 So, how can three values be represented by one bit? $A$ could be $1$, $B$ could be $0$; but how could you represent $C$? Thank you in advance.