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SRT Division and Square Root

  • David M. Russinoff
Chapter

Abstract

The simplest and most common approach to computer division is digit recurrence, an iterative process whereby at each step, a multiple of the divisor is subtracted from the current remainder and the quotient is updated accordingly by appending a fixed number of bits k, determined by the underlying radix, r = 2k. Thus, quotient convergence is linear, resulting in fairly high latencies of high-precision operations for the most common radices, r = 2, 4, and 8.

References

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    Ercegovac, M. D., Lang, T.: Division and Square Root Digit-Recurrence Algorithms and Implementations. Kluwer Academic Publishers (1994)Google Scholar
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    Russinoff, D. M.: Computation and formal verification of SRT quotient and square root digit selection tables. IEEE Trans. Comput. 62(5), 900–913 (2013). Available at http://www.russinoff.com/papers/srt8.html MathSciNetCrossRefGoogle Scholar
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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • David M. Russinoff
    • 1
  1. 1.Arm HoldingsAustinUSA

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