The information entropy H, in bits, of N symbols per character position
of an L-character sequence/string/word is:
H(N) = L log2 N

Using the N=26 symbols of English alphabet, what is the information entropy H, in bits, of 
L=1 letter words:
L=2 letter words:
L=3 letter words:
etc.
L=10 letter words:

Doubling the length L of the word has what effect on the entropy H?

Doubling the number of symbols N has what effect on the entropy H?


Solve for N:
How many symbols (i.e. N) would be needed to produce a 5-letter word
with an information entropy H of 23.5?
How many symbols (i.e. N) would be needed to produce a 5-letter word
with an information entropy H of 30?       of 50?

How many symbols (i.e. N) would be needed to produce a 10-letter word
with an information entropy H of 47?
How many symbols (i.e. N) would be needed to produce a 10-letter word
with an information entropy H of 30?       of 50?      of 100?