The other thing that this interpretation tells us is that the digit worth exactly half an n\-digit is the sqrtn\-digit, both because \(1\) if you want to use an n\-digit to store two x\-messages for some x, you need xcdotx to be at most n; and \(2\) if you have a 50% chance of getting to use an n\-digit and a 50% chance of nothing, then that's equivalent on average to a certainty of a sqrtn\-digit\.
Underline.