I'm not super knowledgeable on this area so I apologize in advance if this is a silly question.

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 3 values be represented by one bit? A could be 1, B could be 0; but how could you represent C?

Thank you in advance.

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.