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Re: st: Re: Decomposing integers


From   Nick Cox <njcoxstata@gmail.com>
To   statalist@hsphsun2.harvard.edu
Subject   Re: st: Re: Decomposing integers
Date   Thu, 19 Jul 2012 13:48:30 +0100

. l if y == 22 | y == 65

     +--------------------------+
     |  y    Y     bin   wanted |
     |--------------------------|
 22. | 22   22   10110   011010 |
 65. | 65    1   00001   100002 |
     +--------------------------+

The extra -egen- function here is -base()- from -egenmore- (SSC).

Nick

On Thu, Jul 19, 2012 at 1:00 PM, A Loumiotis
<antonis.loumiotis@gmail.com> wrote:
> 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?
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