Skip to main content
  • 81 Accesses

Abstract

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • 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.

    Article  MATH  Google Scholar 

  • 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 

  • Ferrari, D., ‘A Division Method Using a Parallel Multiplier’, I.E.E.E. Trans. electronic Comput., 16 (1967) 224–6.

    Article  MATH  Google Scholar 

  • Flynn, M. J., ‘On Division by Functional Iteration’, I.E.E.E. Trans. Comput., 19 (1970) 702–6.

    Article  MATH  Google Scholar 

  • Robertson, J. E., ‘A New Class of Digital Division Methods’, I.R.E. Trans. electronic Comput., 7 (1958) 218–22.

    Article  Google Scholar 

  • Rodrigues, M. R. D., ‘Algorithms for the Fast Hardware Evaluation of Mathematical Functions, M.Sc. Thesis (University of Manchester, 1978). Gives proofs of methods for base-4 evaluation.

    Google Scholar 

  • Tocher, K. D., ‘Techniques of Multiplication and Division for Automatic Binary Computers’, Q. J. Mech. appl. Math., 11 (1958) 364–84.

    Article  MathSciNet  MATH  Google Scholar 

  • Zurawski, J., ‘High-performance Evaluation of Division and other Elementary Functions’, Ph.D. Thesis (University of Manchester, 1980).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1980 John B. Gosling

About this chapter

Cite this chapter

Gosling, J.B. (1980). Division. In: Design of Arithmetic Units for Digital Computers. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4938-0_5

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-4938-0_5

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4757-4940-3

  • Online ISBN: 978-1-4757-4938-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics