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Multi_radix Complex Division with Operand Rounding

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Year of Publication: 2020
Youssef Abdul-Aziz Taher

Youssef Abdul-Aziz Taher. Multi_radix Complex Division with Operand Rounding. International Journal of Computer Applications 177(32):12-13, January 2020. BibTeX

	author = {Youssef Abdul-Aziz Taher},
	title = {Multi_radix Complex Division with Operand Rounding},
	journal = {International Journal of Computer Applications},
	issue_date = {January 2020},
	volume = {177},
	number = {32},
	month = {Jan},
	year = {2020},
	issn = {0975-8887},
	pages = {12-13},
	numpages = {2},
	url = {},
	doi = {10.5120/ijca2020919768},
	publisher = {Foundation of Computer Science (FCS), NY, USA},
	address = {New York, USA}


Complex Division is one of the most popular operations used in the field of complex numbers operations. Improving systems and applications functionality using non-decimal radix required extra processing time. Therefore, complex division attracts the attention of researchers and manufacturers aiming at improving their systems and applications. This paper proposed a new approach to reduce large pre-scaling tables required for radices greater than 4. The proposed approach dedicated to cope with this problem to enhance power consumption, area, and speed needed to perform this type of operations.


  1. A Cariow, "An algorithm for dividing two complex numbers", arXiv preprint, 2016.
  2. Anila Ann Varghese, C Pradeep, Madhuri Elsa Eapen, "FPGA Implementation of Area-Efficient IEEE 754 Complex Divider‏", 2016.
  3. Aleksandr Cariow, G Cariowa‏, " Hardware-Efficient Structure of Complex Numbers Divider‏", Measurement Automation Monitoring , 2017‏.
  4. Shaobing Huang, Li Yu, Fang-jian Han,"A pipelined architecture for user-defined floating-point complex division on FPGA", 2017 IEEE 30th Canadian Conference, 2017.
  5. Milena Svobodova, Edita Pelantova, Marta Pavelka,"On-line algorithms for multiplication and division in real and complex numeration systems‏",Discrete Mathematics & Theoretical Computer Science , 2019‏.
  6. Kevin Brady Hil, "Efficient Implementation of Radix-4 Division by Recurrence‏", 2018.
  7. Suresh Mopuri, Swati Bhardwaj, Amit Acharyya‏,"Coordinate Rotation based Design Methodology for Square root and Division computation", IEEE Transactions, 2018.
  8. Jatinder Thaku, "Design and Implementation of 32-Bit Arithmetic Divider and Multiplier using Single Stage Design _ampersandsignnbsp‏", International Journal of Advances in Scientific Research and Engineering, 2017.
  9. Javier D Bruguera, "Low Latency Floating-Point Division and Square Root Unit", IEEE Transactions on Computers, 2019.
  10. M. D. Ercegovac, J. M. Muller; "Complex Division with Pre-scaling of Operands" Proceedings of the Application Specific Systems, Architectures, and Processors, 2003.


Pre-scaling, complex, post-scaling, radices, non-decimal, dividend, remainder, quotient