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The binary expansion of 1/7 is (0.001001001...)2 (repeating).

a) Assuming Python also stores 1/7 with 54 digits, how many applications of the operation: x = 8*(x - 1/8) would have to be applied before x was no longer a fraction?

(Recall that 1/8 = (0.001)2, while multiplying by 8 moves the binary "decimal point" three places to the right.)

b) Verify your answer to part a by writing a short Python function called strange17, taking n as its argument, which applies this operation to 1/7 n times and returns the result.

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