👉 Shannon's theorem is a fundamental result in information theory that describes the relationship between Shannon entropy and probability distribution in information theory, specifically related to communication channels. It states that the average bit error rate (BER) of a channel with an input transmitted over it can be expressed as: \[ \text{BER} = 1 - \frac{\ln(2)}{N}, \] where \( N \) is the number of bits in the received signal, and \( \ln(2