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An Ingenious Sum Puzzle (Posted on 2006-10-09) Difficulty: 2 of 5
(A)Consider the set of all possible positive binary whole numbers each having exactly twelve digits consisting of precisely six 1's and six 0's. The first digit cannot be 0 . Determine the sum of all these numbers in the decimal notation.

(B)Consider the set of all possible positive binary whole numbers each having exactly fourteen digits consisting of precisely seven 1's and seven 0's. The first digit cannot be 0. Determine the sum of all these numbers in the decimal notation.

See The Solution Submitted by K Sengupta    
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Moot | Comment 1 of 3
Although it may seem to be a moot question, my question is to do with the binary limits that are set.

Simply, can the total 'wrap' to the next binary place, or does that create a 'negative' overflow? 

You have specified digits of 12 and 14 but there is no suggestion that the higher power is allowed.  D2 suggests this is a very moot point; I'd be more concerned if the overflow was to the n*8+1 place.

  Posted by brianjn on 2006-10-09 09:09:33
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