Alice wants to send Bob a message. She will use the english alphabet.

a) What is the information entropy for a letter?

b) Alice converts every letter to bits and sends the bits to Bob. How many bits are needed per letter?

c) Alice then sends a 12-letter message, converting the whole message to bits rather than individually. How many bits are needed per letter?

d) Entropy for a single letter gives the entropy of X bits. Compare X to answers from part a,b (greater, less than, equal).

e) With X from (d), Alice attaches 1 byte header for every 10 letters. What is the information entropy for sending the letters plus the header?