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st: Re: Decomposing integers


From   A Loumiotis <antonis.loumiotis@gmail.com>
To   statalist@hsphsun2.harvard.edu
Subject   st: Re: Decomposing integers
Date   Thu, 19 Jul 2012 15:00:21 +0300

The last local should contain 1 0 0 0 0 2.

On Thu, Jul 19, 2012 at 2:54 PM, A Loumiotis
<antonis.loumiotis@gmail.com> wrote:
> Hi,
>
> I have integer numbers of the following form:
>
> X=Sum[i=0/4](a[i]2^i)+(a[5]*2^5)
>
> where a[i] equals either 0 or 1 if i=0/4 and a[5] equals to any
> positive integer or 0.
>
> Given this construction I would like to find the unique combinations
> of a[i]'s that generated X.
>
> For example:
>
> X=22 was generated using a[1]=1, a[2]=1 and a[4]=1.
> So I would like to construct a local that contains the following list
> 0 1 1 0 1 0
>
> X=65 was generated using a[0]=1 and a[5]=2
> So in this case the local should contain 1 0 0 0 0 1
>
> Is this possible?
>
> Thanks
>
> Antonis
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