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How many numbers can be expressed as the sum of two or more distinct elements of the set {0,1,2,4,8,16,32,64,128}

 Jan 10, 2022
 #1
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The answer is 424.

 Jan 10, 2022
 #2
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This is equivalent to the question "How many numbers can be expressed with 8 or less digits in binary?" 

 

Hence, every number from 12 to 11,111,1112 works, for an answer of 255

 Jan 10, 2022

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