1/9998 Produces Binary Output

The pattern will break down once you get past 8192, which is 2^13. That means that the pattern continues for an impressive 52 significant figures (well, it actually breaks down on the 52nd digit, which will be a 3 instead of a 2). The reason it works is that 9998 = 10^4 - 2. You can expand as   1 / (10^n - 2) = 1/10^n * 1/(1 - 2/10^n) = 1/10^n * (1 2/10^n 2^2 /10^2n 2^3 /10^3n ...) which gives the observed pattern. It breaks down when 2^k has more than n digi...

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Wake up you sleepy head Put on some clothes, shake up your bed Put another log on the fire for me Ive made some breakfast and coffee Look out my window what do I see A crack in the sky and a hand reaching down to me All the nightmares came today And it looks as though they're here to stay What are we coming to No room for me, no fun for you I think about a world to come Where the books were found by the golden ones Written in pain, written in awe By a puzzled man who questioned What we were ...