Art of Problem Solving

2003 AIME I Problems/Problem 13: Difference between revisions

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== See also ==
== See also ==
* [[2003 AIME I Problems/Problem 12 | Previous problem]]
* [[2003 AIME I Problems/Problem 14 | Next problem]]
* [[2003 AIME I Problems]]
* [[2003 AIME I Problems]]

Revision as of 17:43, 4 November 2006

Problem

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.

Solution

See also