A imaginary number system

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A imaginary number system

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Communications of the ACM archive
Volume 3 , Issue 4 (April 1960) table of contents

Pages: 245 - 247

Year of Publication: 1960

ISSN:0001-0782

Author

Donald E. Knuth

Case Institute of Technology, Cleveland, OH

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 11, Downloads (12 Months): 59, Citation Count: 7

Additional Information:

abstract cited by collaborative colleagues peer to peer

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ABSTRACT

For centuries the decimal number system reigned supreme, except, perhaps, among the Mayan Indians, until the advent of digital computers brought the binary and octal systems into the limelight. This paper introduces another number system which may prove useful for manipulating complex numbers on machines.

CITED BY 7

	Morton Nadler, Division and square root in the quarter-imaginary number system, Communications of the ACM, v.4 n.4, p.192-193, April 1961
	Mahmoud A. Manzoul, A quaternary complex number CCD adder (abstract only), Proceedings of the 15th annual conference on Computer Science, p.434, February 1987, St. Louis, Missouri, United States
	Sadaf Saeed , Usman Ali , Shahid A. Khan, Latest innovation for FFT implementation using RCBNS, Proceedings of the 4th WSEAS International Conference on Signal Processing, Computational Geometry & Artificial Vision, p.1-6, December 17-19, 2004, Tenerife, Canary Islands, Spain
	Sadaf Saeed , Usman Ali , Shahid A. Khan, Latest innovation for FFT implementation using RCBNS, Proceedings of the 4th WSEAS International Conference on Signal Processing, Robotics and Automation, p.1-6, February 13-15, 2005, Salzburg, Austria
	Asger Munk Nielsen , Peter Kornerup, Redundant Radix Representations of Rings, IEEE Transactions on Computers, v.48 n.11, p.1153-1165, November 1999
	M. Davio , J. -P. Deschamps, Addition in signed digit number systems, Proceedings of the eighth international symposium on Multiple-valued logic, p.104-113, January 1978, Rosemont, Illinois, United States
	Vassil S. Dimitrov , Graham A. Jullien , William C. Miller, Complexity and Fast Algorithms for Multiexponentiations, IEEE Transactions on Computers, v.49 n.2, p.141-147, February 2000

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Donald E. Knuth: colleagues

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