SOLUTION: Explain why there is only one such representation when writing 1-16 as a sum of powers of 2. Also, how does this relate to writing numbers in base 10?

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Question 191789: Explain why there is only one such representation when writing 1-16 as a sum of powers of 2. Also, how does this relate to writing numbers in base 10?
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
This thread, asking essentially the same question, has some insightful answers.

https://math.stackexchange.com/questions/1375991/why-are-sums-of-powers-of-2-able-to-give-all-numbers