Conversion of modular numbers to their mixed radix representation by a matrix formula

Author:
J. SchÃ¶nheim

Journal:
Math. Comp. **21** (1967), 253-257

MSC:
Primary 65.35

DOI:
https://doi.org/10.1090/S0025-5718-1967-0224252-5

MathSciNet review:
0224252

Full-text PDF

References | Similar Articles | Additional Information

**[1]**M. Valach & A. Svoboda, ``Circuit operators,''*Stroje na. Zpracovani Informaci Sb.*, v. 111, 1957, pp. 247-297. (Czech)**[2]**H. S. Shapiro, ``Some remarks on modular arithmetic and parallel computation,''*Math. Comp.*, v. 16, 1962, pp. 218-222. MR**26**#4511. MR**0146992 (26:4511)****[3]**H. B. Mann, ``On modular computation,''*Math. Comp.*, v. 15, 1961, pp. 190-192. MR**22**#10944. MR**0120187 (22:10944)****[4]**G. E. Lindamood & G. Shapiro, ``Magnitude comparison and overflow detection in modular arithmetic computers,''*SIAM Rev.*, v. 5, 1963, pp. 342-350. MR**29**#6662. MR**0169412 (29:6662)****[5]**A. Svoboda, ``The numerical system of residual classes in mathematical machines,''*Information Processing*, pp. 419-422, UNESCO, Paris, R. Oldenbourg, Munich and Butterworths, London, 1960. MR**28**#5581. MR**0162382 (28:5581)****[6]**J. Borosh & A. S. Fraenkel, ``Exact solutions of linear equations with rational coefficients by congruence techniques,''*Math. Comp.*, v. 20, 1966, pp. 107-112. MR**0187379 (32:4831)****[7]**V. N. Teĭtel'baum, ``Comparison of numbers in the Czech system of numbers,''*Dokl. Akad. Nauk SSSR*, v. 121, 1958, pp. 807-810. (Russian) MR**21**#3367. MR**0104614 (21:3367)****[8]**A. S. Fraenkel,*On Size of Modular Numbers*, Proc. ACM 19th National Conference, Philadelphia, Pa., 1964.

Retrieve articles in *Mathematics of Computation*
with MSC:
65.35

Retrieve articles in all journals with MSC: 65.35

Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1967-0224252-5

Article copyright:
© Copyright 1967
American Mathematical Society