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MathGroup Archive 1995

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Bin <-> Decimal conversion

  • To: MATHGROUP at CHRISTENSEN.CYBERNETICS.NET
  • Subject: [mg395] Bin <-> Decimal conversion
  • From: barenco at vax.ox.ac.uk
  • Date: Tue, 10 Jan 1995 18:08:45 +0000

Dear Mathgroup:

    I'm looking for an efficient way to convert number in base 10
    to their binary form and vice versa. I.e. two functions such
    that (for instance),

    ToBin[54]               ----->     {1,1,0,1,1,0}
    ToDec[{1,1,0,1,1,0}]    ----->     54

    I need to  have the binary digits as a List (therefore the
    instruction BaseForm doesn't do the job).

    Along the lines of the example in the Mma book (p. 202) I
    found an elegant solution for ToDec :

    ToDec[list_]:=Fold[(2 #1 +#2)&,0,list]

    I am still looking for an efficient way to perform ToBin.

    Thank you for any suggestion.

    Adriano Barenco
    barenco at vax.ox.ac.uk


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