<PRE><B>Question 450380</B>
Candace says you can write any whole number as the sum of powers of two and only use each power once. Is she correct?
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Yes:  base 2 numbers can express any whole number.  Base 2 numbers
are a sum of powers of 2.
19 = 2^4 + 2 + 2^0
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 Try writing 29 As the sum of powers of two. Then choose two other whole numbers and do the same. Explain your thinking.
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29/2 = 14 + 1
14/2 = 7 + 0
7/2 = 3 + 1
3/2 = 1 + 1
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29 = 11101 or 2^4 + 2^3 + 2^2 + 2^0
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Cheers,
Stan H.
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