2003 AIME I Problems/Problem 13

Revision as of 18:43, 4 November 2006 by Lotrgreengrapes7926 (talk | contribs) (See also)


Let $N$ be the number of positive integers that are less than or equal to 2003 and whose base-2 representation has more 1's than 0's. Find the remainder when $N$ is divided by 1000.


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