Peter,

I agree, the precision is 100 places.

Looking at Mathematica's result again, it appears to be formally incorrect. There is no binary point in front of the binary bits! Shouldn't the "-4" be "-104"?

Or does "RealDigits[0.036`100, 2, 100]" imply that one first multiplies .036 by 2^100. Then the answer is formally correct. That would really be confusing!

Bob


Yes, i understand, but the PRECISION (if I use the term correctly) is
100 places.

Cheers,
P.


On 8/2/06, Bob Delaney <[EMAIL PROTECTED]> wrote:
Peter,

Because the "-4" means times 2^(-4), your result represents .036
accurate to 104 places following the binary point.

Bob




I've often wondered about trying Maple (any good?).

Anyway, here is a reply from Wolfram tech support, turns out I wasn't
using Mathematica correctly (a common occurrence with me, not a simple
app to use).  Os other were correct, 0.036 is not base-2
representable, and this explains the integer round-down "error" first
reported in this thread.

======
I believe Mathematica is working correctly.

As specified in help of RealDigits, RealDigits[x]normally returns a list of
digits whose length is equal to Precision[x].

Please use the correct precision.

 >RealDigits[0.036`100, 2, 100]

returns:

{{1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0,
0,
     1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1,
1,
     1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0,
1,
     1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1,
1,
     0, 0, 1}, -4}

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Peter K. Stys, MD
Professor of Medicine(Neurology), Senior Scientist
Ottawa Health Research Institute, Div. of Neuroscience
Ottawa Hospital / University of Ottawa
Ontario, CANADA
tel:    (613)761-5444
fax:    (613)761-5330
http://www.ohri.ca/profiles/stys.asp
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