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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A simple experimental computer with negative bias
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by A. Łazarkiewicz and W. Balasiński PDF
Math. Comp. 15 (1961), 275-285 Request permission

Abstract:

This paper presents the technical data, logic, and control organization of a simple experimental computer operating in the minus-two system. The principles for composing the instructions from elementary operations, the characteristics of minus-two computer arithmetic, and the logic of the arithmetic unit are briefly explained. The paper is divided into the following sections: 1, Introduction; 2, Fundamental Logical Circuits; 3, The Memory; 4, Block Diagram; 5, The Control Unit; 6, Coordination with Teleprinter; 7, Instructions; 8, Minus-Two System and Range of Numbers in the Computer; 9, The Adding Unit; 10, The Sign and Overflow Register; 11, Multiplication; 12, Acknowledgments.
References
    W. S. Elliott, C. E. Owen, C. H. Devonald & B. G. Maudsley, “The design philosophy of Pegasus, a quantity-production computer,” Proc. Inst. Elec. Engrs. B, Vol. 103, Supplement No. 2, October 1956, p. 188. I. W. Merry & B. G. Maudsley, “The magnetic-drum store of the computer Pegasus,” Proc. Inst. Elec. Engrs. B, Vol. 103, Supplement No. 2, Octoper, 1956, p. 197.
  • Z. Pawlak and A. Wakulicz, Use of expansions with a negative basis in the arithmometer of a digital computer, Bull. Acad. Polon. Sci. Cl. III. 5 (1957), 233–236, XIX–XX (English, with Russian summary). MR 0088076
  • W. L. Van der Poel, “The logical principles of some simple computers,” University of Amsterdam Thesis, The Hague, Netherlands, 1956. Z. Pawlak, “An electronic digital computer based on the “-2” system,” Bull. Acad. Polon Sci., Cl. III, Vol. VII, No. 12, 1959. W. Balasiński, “A mode of performing four basic arithmetic operations of the first grade in electronic and other digital devices,” Polish Patent Nr. 42954, March 1960.
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Additional Information
  • © Copyright 1961 American Mathematical Society
  • Journal: Math. Comp. 15 (1961), 275-285
  • MSC: Primary 68.00
  • DOI: https://doi.org/10.1090/S0025-5718-1961-0128584-5
  • MathSciNet review: 0128584