precision - What happens to the potentially inaccurate digits in floating point arithmetic? -

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according wikipedia, floating point arithmetic using double precision accurate minimum of 15 digits.

i'm in process of reading:

but i'm still bit confused on how digits past 15th handled. understand can accurate , not.

an example: 

           15th digit                 ^   0.111222333444555xx..

due potential inaccuracy, makes sense me these digits ignored. if that's not case how handled?


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