SOLUTION: Candace says you can write any whole number as the sum of powers of two and only use each power once. Is she correct? Try writing 29 As the sum of powers of two. Then choose two ot

Question 450380: Candace says you can write any whole number as the sum of powers of two and only use each power once. Is she correct? Try writing 29 As the sum of powers of two. Then choose two other whole numbers and do the same. Explain your thinking.
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
She's correct. That's binary representation of numbers.
29 = 16 + 8 + 4 + 1
In binary, it's 11101.
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13 = 1101 binary
31 = 11111 binary
32 = 100000
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Also 3.5 = 11.1 binary
Not just integers can be binary.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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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