Lines Matching refs:exactly

23 Unfortunately, most decimal fractions cannot be represented exactly as binary
42 will never be exactly 1/3, but will be an increasingly better approximation of
46 decimal value 0.1 cannot be represented exactly as a base 2 fraction.  In base
59 which is close to, but not exactly equal to, 1/10.
78 in the machine is not exactly 1/10, you're simply rounding the *display* of the
99 2.675 is exactly halfway between 2.67 and 2.68, you might expect the result
118 Another consequence is that since 0.1 is not exactly 1/10, summing ten values
119 of 0.1 may not yield exactly 1.0, either::
157 decimal fractions cannot be represented exactly as binary (base 2) fractions.
164 Why is that?  1/10 and 2/10 are not exactly representable as a binary
169 where *J* is an integer containing exactly 53 bits.  Rewriting ::
177 and recalling that *J* has exactly 53 bits (is ``>= 2**52`` but ``< 2**53``),
187 That is, 56 is the only value for *N* that leaves *J* with exactly 53 bits.
207 than 1/10.  But in no case can it be *exactly* 1/10!