الملخص
For years complex numbers have been treated as distant relatives of real numbers despite their widespread applications in the fields of electrical and computer engineering. These days computer operations involving complex numbers are most commonly performed by applying divide-and-conquer technique whereby each complex number is separated into its real and imaginary parts, operations are carried out on each group of real and imaginary components, and then the final result of the operation is obtained by accumulating the individual results of the real and imaginary components. This 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 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.
الكلمات المفتاحية
بيانات النشر
- المعرّف الرقمي
- 10.24200/squjs.vol7iss1pp199-209
- المجلة
- مجلة جامعة السلطان قابوس للعلوم, 7(1), 199
- الناشر
- جامعة السلطان قابوس
- وصول مفتوح
- وصول مفتوح ذهبي
- الترخيص
- CC BY 4.0
اقتبس هذه المقالة
APA 7
Jamil, T., Blest, D. C., & Alhabsi, A. H. (2002). Towards Formulation of a Complex Binary Number System. Sultan Qaboos University Journal for Science, 7(1), 199. https://doi.org/10.24200/squjs.vol7iss1pp199-209
MLA 9
Jamil, Tariq, et al. "Towards Formulation of a Complex Binary Number System." Sultan Qaboos University Journal for Science, vol. 7, no. 1, 2002, pp. 199. https://doi.org/10.24200/squjs.vol7iss1pp199-209.
شيكاغو (المؤلف–التاريخ)
Jamil, Tariq, David C. Blest, and Amer H. Alhabsi. 2002. "Towards Formulation of a Complex Binary Number System." Sultan Qaboos University Journal for Science 7 (1): 199. https://doi.org/10.24200/squjs.vol7iss1pp199-209.
هارفارد
Jamil, T., Blest, D. C. and Alhabsi, A. H. (2002) 'Towards Formulation of a Complex Binary Number System', Sultan Qaboos University Journal for Science, 7(1), pp. 199. doi:10.24200/squjs.vol7iss1pp199-209.
فانكوفر
Jamil T, Blest DC, Alhabsi AH. Towards Formulation of a Complex Binary Number System. Sultan Qaboos University Journal for Science. 2002;7(1):199. doi:10.24200/squjs.vol7iss1pp199-209
IEEE
T. Jamil, D. C. Blest, and A. H. Alhabsi, "Towards Formulation of a Complex Binary Number System," Sultan Qaboos University Journal for Science, vol. 7, no. 1, pp. 199, 2002, doi: 10.24200/squjs.vol7iss1pp199-209.