> The 11 bits of entropy refer to a dictionary of 2K words to choose from. The reason to type full ones is you're not hamstrung by the "no common prefix" limitation, which allows larger (and easier to remember) dictionaries.
Another note on this - assume an average word length of 5 - that's 11/5 or 2.5 bits per character typed (again, assuming the wordlist doesn't loose some bits for "double coding" like "at hat/a that").
At 7 bits per word - of which two characters are enough, we type 7/2 or 3.5 bits per character.
Conversely, we only memorize 7 bits per word vs 11 bits.
Another note on this - assume an average word length of 5 - that's 11/5 or 2.5 bits per character typed (again, assuming the wordlist doesn't loose some bits for "double coding" like "at hat/a that").
At 7 bits per word - of which two characters are enough, we type 7/2 or 3.5 bits per character.
Conversely, we only memorize 7 bits per word vs 11 bits.