Serhiy Storchaka <storch...@gmail.com> added the comment:

>>> (43**10).bit_length()
55
>>> sys.float_info.mant_dig
53

See 
http://docs.python.org/faq/design.html#why-are-floating-point-calculations-so-inaccurate

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nosy: +storchaka

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Python tracker <rep...@bugs.python.org>
<http://bugs.python.org/issue15438>
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