### 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 |
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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' |
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City | Nashville, TN, USA |

Period | 4/7/00 → 4/9/00 |

### Fingerprint

### ASJC Scopus subject areas

- Electrical and Electronic Engineering

### Cite this

*Conference Proceedings - IEEE SOUTHEASTCON*(pp. 268-274)

**Towards implementation of a binary number system for complex numbers.** / Jamil, Tariq; Holmes, Neville; Blest, David.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Conference Proceedings - IEEE SOUTHEASTCON.*pp. 268-274, IEEE SoutheastCon 2000 'Preparing for the New Millennium', Nashville, TN, USA, 4/7/00.

}

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.

UR - http://www.scopus.com/inward/record.url?scp=0033698658&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033698658&partnerID=8YFLogxK

M3 - Conference contribution

SP - 268

EP - 274

BT - Conference Proceedings - IEEE SOUTHEASTCON

ER -