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2007 iTest Problems/Problem 56

Revision as of 02:55, 8 October 2014 by Timneh (talk | contribs) (Created page with "== Problem == Let <math>T=\text{TNFTPP}</math>. In the binary expansion of <math>\dfrac{2^{2007}-1}{2^T-1}</math>, how many of the first <math>10,000</math> digits to the right o...")
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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

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