Difference between revisions of "2007 iTest Problems/Problem 56"

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Revision as of 03:55, 8 October 2014

Problem

Let $T=\text{TNFTPP}$. In the binary expansion of $\dfrac{2^{2007}-1}{2^T-1}$, how many of the first $10,000$ digits to the right of the radix point are $0$'s?

Solution