Lines Matching refs:exactly

27 Unfortunately, most decimal fractions cannot be represented exactly as binary
46 will never be exactly 1/3, but will be an increasingly better approximation of
50 decimal value 0.1 cannot be represented exactly as a base 2 fraction.  In base
59 is ``3602879701896397 / 2 ** 55`` which is close to but not exactly
114 One illusion may beget another.  For example, since 0.1 is not exactly 1/10,
115 summing three values of 0.1 may not yield exactly 0.3, either::
158 1/3 can be represented exactly).
186 the float value exactly::
216 decimal fractions cannot be represented exactly as binary (base 2) fractions.
220 Why is that?  1/10 is not exactly representable as a binary fraction. Almost all
225 an integer containing exactly 53 bits.  Rewriting ::
233 and recalling that *J* has exactly 53 bits (is ``>= 2**52`` but ``< 2**53``),
239 That is, 56 is the only value for *N* that leaves *J* with exactly 53 bits.  The
262 1/10.  But in no case can it be *exactly* 1/10!