Shannon entropy (information theory)

I want to calculate the shannon entropy. X transmits random binary sequense (e.g 1000110010) and Y received (e.g 1000100010) with probability of 2%. Could some explain me how can I calculate the shannon entropy.

[Akira Agata]

Do you mean 'Channel capacity' based on the Shannon-Hartley theorem assuming 2% BER?

You don't need to use received binary sequense Y to calculate Shannon entropy, which can be determined by the probability of '0' and '1' in the transmitted binary sequense.