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MathGroup Archive 2005

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Re: Operating with binary numbers

  • To: mathgroup at
  • Subject: [mg59089] Re: Operating with binary numbers
  • From: dh <dh at>
  • Date: Thu, 28 Jul 2005 02:27:46 -0400 (EDT)
  • References: <dc77gl$k5p$>
  • Sender: owner-wri-mathgroup at

2^^... and BaseForm are only concerned with input and output. 
Internally, the number representation is always the same.
If you want get at the bits, you need:

IntegerDigits and FromDigits

if you are using reals:
RealDigits and FromDigits

sincerely, Daniel

Wishmaster wrote:
> Hello,
> I found that you can represent binary numbers in Mathematica with this:
>  binary = 2^^110110101010111010
> 223930
> And BaseForm[binary, 10] returns the number in decimal form
>   223930
> I'd like to know if is there some function to test if a given bit of the 
> binary number is on, and to do operations like "shifting" the binary number. 
> I looked at the help but can't find anything.
> I use Mathematica 5.0 on Windows XP.
> Thanks.

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