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
Jamesport, New York

... there are 102.7 males. For every 100 females age 18 and over, there are 97.9 males. The median income for a household in the town is $67,891, and the median income for a ...

 
 
 
This page was created in 62.3 ms