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To express 20 as a sum of distinct powers of 2, we would write \(20=2^4+2^2\). The sum of the exponents of these powers is 4+2=6. If 1562 were expressed as a sum of distinct powers of 2, what would be the least possible sum of the exponents of these powers?

 May 7, 2020
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1562 =2^10 + 2^9 + 2^4 + 2^3 + 2^1
         =10 + 9 + 4 + 3 + 1 =27 - Least possible sum?

 May 7, 2020

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