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Radix Economy of Complex Bases

  1. Jul 10, 2013 #1
  2. jcsd
  3. Jul 11, 2013 #2


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    The same way
    digits required*number of digits possible

    for Quater-Imaginary base there are 4 digit possibilities so
    1223101 (base 2i)
  4. Jul 11, 2013 #3
    Thanks lurflurf, sorry about this but I don't understand how the Econ function would actually work with complex numbers. When I fill in the function I get a complex result:

    log(-35+40)/log(2i) = 2.15.. -1.57..i

    So basically I guess I'm asking how you find the length of a number in a complex base. With integer bases it works fine, but these complex bases seem more contrived..
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