Prime or relatively prime radix data processing system

Details Prime or relatively prime radix data processing system Prime or relatively prime radix data processing system

1980-12-22

1984-07-03

Malzahn, David H.

Boots, shoes, and leggings

G06F 772

Patent

active

044583273

ABSTRACT:
This system is configured to operate in a number system in which the radix of each digit is a different prime number, or a system in which all of the radices are relatively prime, hereafter a prime or relatively prime radix number system. The system includes an input/output device which inputs data in a constant radix number system and outputs results of operations carried out in the system in a constant radix number system. A means is connected to the I/O device for converting the input data from the constant radix number system to the prime or relatively prime radix number system. A processing means is connected to the converting means for carrying out operations on the input data in prime or relatively prime radix form. A memory means connected to the processing means stores the data and results of operations thereon in prime or relatively prime radix form. Since there is no carry required to perform arithmetic operations except divide in the prime or relatively prime radix number system, such operations are substantially simplified in comparison with corresponding operations with a constant radix number system.

REFERENCES:
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patent: 4107783 (1978-08-01), Huang
patent: 4121298 (1978-10-01), Akushsky et al.
patent: 4281391 (1981-07-01), Huang
"Modular Arithmetic . . . An Ancient Science for a New Computer," Westinghouse Engineer, Jul. 1963, pp. 112-114.
Banerji et al., "On Translation Algorithms in Residue Number Systems," IEEE Trans. on Computers, vol. C-21, No. 12, Dec. 1972, pp. 1281-1285.
Levine et al., "New Techniques in Residue Arithmetic," 1960 Conference Proceeding 4th National Convention on Military Electronics, pp. 183-189.

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