Encyclopedia > Quater-imaginary base

  Article Content

Quater-imaginary base

The Quater-imaginary number system was first proposed by Donald Knuth in 1955, in a submission to a high-school science talent search. Quater-imaginary (by analogy with quaternary) is able to represent every complex number with only digits 0, 1, 2, and 3, without a sign. For example:

(11210.31)2i = 1(16) + 1(-18i) + 2(-4) + 1(2i) + 3(-1/2i) + 1(-1/4) = 7 3/4 - 7 1/2i

References

  • D. Knuth. The Art of Computer Programming. Volume 2, 3rd Ed. Addison-Wesley. pp.205, "Positional Number Systems"



All Wikipedia text is available under the terms of the GNU Free Documentation License

 
  Search Encyclopedia

Search over one million articles, find something about almost anything!
 
 
  
  Featured Article
Quackery

... their illness. People report reduced pain, and increased well being, all because they don't no their treatment does nothing. The placebo effect is extreme in the treatment ...

 
 
 
This page was created in 19.8 ms