Abstract
These days computer operations involving complex numbers are most commonly performed by dealing with the real and imaginary parts separately and then accumulating their individual results to get the final result of the operation. This divide-and-conquer technique forsakes the advantages of using complex numbers in computer arithmetic and there exists a need, at least for some problems, to treat a complex number as one unit and to carry out all operations in this form. In this paper, we have analyzed various available complex bases and proposed a (-1+j)-base binary number system for complex numbers. We have discussed the arithmetic operations of two such binary numbers and outlined work which is currently underway in this area of computer arithmetic.
| Original language | English |
|---|---|
| Title of host publication | Conference Proceedings - IEEE SOUTHEASTCON |
| Pages | 268-274 |
| Number of pages | 7 |
| Publication status | Published - 2000 |
| Event | IEEE SoutheastCon 2000 'Preparing for the New Millennium' - Nashville, TN, USA Duration: Apr 7 2000 → Apr 9 2000 |
Other
| Other | IEEE SoutheastCon 2000 'Preparing for the New Millennium' |
|---|---|
| City | Nashville, TN, USA |
| Period | 4/7/00 → 4/9/00 |
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ASJC Scopus subject areas
- Electrical and Electronic Engineering
Cite this
Towards implementation of a binary number system for complex numbers. / Jamil, Tariq; Holmes, Neville; Blest, David.
Conference Proceedings - IEEE SOUTHEASTCON. 2000. p. 268-274.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Towards implementation of a binary number system for complex numbers
AU - Jamil, Tariq
AU - Holmes, Neville
AU - Blest, David
PY - 2000
Y1 - 2000
N2 - These days computer operations involving complex numbers are most commonly performed by dealing with the real and imaginary parts separately and then accumulating their individual results to get the final result of the operation. This divide-and-conquer technique forsakes the advantages of using complex numbers in computer arithmetic and there exists a need, at least for some problems, to treat a complex number as one unit and to carry out all operations in this form. In this paper, we have analyzed various available complex bases and proposed a (-1+j)-base binary number system for complex numbers. We have discussed the arithmetic operations of two such binary numbers and outlined work which is currently underway in this area of computer arithmetic.
AB - These days computer operations involving complex numbers are most commonly performed by dealing with the real and imaginary parts separately and then accumulating their individual results to get the final result of the operation. This divide-and-conquer technique forsakes the advantages of using complex numbers in computer arithmetic and there exists a need, at least for some problems, to treat a complex number as one unit and to carry out all operations in this form. In this paper, we have analyzed various available complex bases and proposed a (-1+j)-base binary number system for complex numbers. We have discussed the arithmetic operations of two such binary numbers and outlined work which is currently underway in this area of computer arithmetic.
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UR - http://www.scopus.com/inward/citedby.url?scp=0033698658&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:0033698658
SP - 268
EP - 274
BT - Conference Proceedings - IEEE SOUTHEASTCON
ER -