In Exercise 22.24 you were asked to prove that every natural number can be written as
Chapter 0, Problem 18(choose chapter or problem)
In Exercise 22.24 you were asked to prove that every natural number can be written as the sum of distinct powers of 2. Prove that such a representation is unique; that is, given a natural number n, there is only one way to write n as the sum of distinct powers of 2. Note: For this problem, rearranging the order of the summands does not constitute a new way to express a number as the sum of distinct powers of 2; that is, 21 D 2 4C2 2C2 0 is no different than 21 D 2 0 C 2 4 C 2 2
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