Sometimes integers are encoded by using four-digit binary
Chapter 4, Problem 47E(choose chapter or problem)
Problem 47E
Sometimes integers are encoded by using four-digit binary expansions to represent each decimal digit. This produces the binary coded decimal form of the integer. For instance. 791 is encoded in this way by 011110010001. How many bits are required to represent a number with n decimal digits using this type of encoding?
A Cantor expansion is a sum of the form
ann! + an-1(n - 1)! + a22! + a11!.
where a1is an integer with 0 ≤ ai ≤ i for i= 1,2,···n.
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