Division is the fourth of the basic arithmetic operations, and occurs much less frequently than any of the others. As a result, only the largest computers normally contain a separate hardware divider. Division can be implemented using either subtraction or multiplication, and frequently makes use of the hardware provided for these operations.


Digital Computer Arithmetic Unit Partial Remainder Basic Arithmetic Operation Divider Unit 
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  1. Anderson, S. F., Earle, J. G., Goldscmidt, R. E., and Powers, D. M., ‘The IBM System/360 Model 91 Floating Point Execution Unit’, IBM Jl Res. Dev., 11 (1967) 34–53. Note that the multipliers in the divide algorithm cannot be truncated as suggested here; see text.CrossRefzbMATHGoogle Scholar
  2. de Lugish, B. G., ‘A Class of Algorithms for Automatic Evaluation of Certain Elementary Functions in a Binary Computer’, University of Illinois Report 399 (1970). Describes algorithms, but gives little justification.Google Scholar
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  4. Flynn, M. J., ‘On Division by Functional Iteration’, I.E.E.E. Trans. Comput., 19 (1970) 702–6.CrossRefzbMATHGoogle Scholar
  5. Robertson, J. E., ‘A New Class of Digital Division Methods’, I.R.E. Trans. electronic Comput., 7 (1958) 218–22.CrossRefGoogle Scholar
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  7. Tocher, K. D., ‘Techniques of Multiplication and Division for Automatic Binary Computers’, Q. J. Mech. appl. Math., 11 (1958) 364–84.MathSciNetCrossRefzbMATHGoogle Scholar
  8. Zurawski, J., ‘High-performance Evaluation of Division and other Elementary Functions’, Ph.D. Thesis (University of Manchester, 1980).Google Scholar

Copyright information

© John B. Gosling 1980

Authors and Affiliations

  • John B. Gosling
    • 1
  1. 1.Department of Computer ScienceUniversity of ManchesterUK

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