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Math Forum » Discussions » sci.math.* » sci.stat.math.independent

Topic: Does uniform distribution of integers imply a uniform
distribution of their bits?
Replies: 2   Last Post: Feb 24, 2013 4:49 PM

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Ray Koopman

Posts: 3,382
Registered: 12/7/04
Re: Does uniform distribution of integers imply a uniform
distribution of their bits?
Posted: Feb 22, 2013 3:15 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Feb 22, 10:59 am, Codeplug <graham.gre...@charter.net> wrote:
> Let's say I have a uniformly distributed set of 8-bit integers - [0, 255].
> If those integers are then concatenated to form a string of bits, are those bits also uniformly distributed?
>
> Thanks for the stat/math help :)
> gg

If the integers are uniform on [0, 2^n - 1], where n is a positive
integer, then YES.

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