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Math Forum » Discussions » Software » comp.soft-sys.matlab

Topic: How to avoid wrong answers in simple arithmetic expressions.
Replies: 13   Last Post: Jan 20, 2013 7:18 AM

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S.K.Mody

Posts: 31
Registered: 12/13/04
Re: How to avoid wrong answers in simple arithmetic expressions.
Posted: Jan 20, 2013 5:28 AM
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"Bruno Luong" <b.luong@fogale.findmycountry> wrote in message <kdgfie$of7$1@newscl01ah.mathworks.com>...
> "SK " <modysk@hotmail.com> wrote in message <kdgb24$a74$1@newscl01ah.mathworks.com>...
>
> >
> > OK. I got it (after some embarrassment). The IEEE 754 format description on Wikipedia was a bit confusing - all those negative powers of 2! It really boils down to - if a number can be represented as a sum of powers of 2, then it has an exact representation - so all integers (within some range) will have an exact representation.
>
> Not exactly. 1 + 2^(-100) cannot be represented by IEEE 754.
>
> Bruno

Note that I said _integers_ within some range.

Best Regards.

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