Very-High Radix Division with Prescaling and Selection by Rounding

  • Authors:
  • M. D. Ercegovac;T. Lang;P. Montuschi

  • Affiliations:
  • -;-;-

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1994

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Abstract

A division algorithm in which the quotient-digit selection is performed by rounding the shifted residual in carry-save form is presented. To allow the use of this simple function, the divisor (and dividend) is prescaled to a range close to one. The implementation presented results in a fast iteration because of the use of carry-save forms and suitable recodings. The execution time is calculated and several convenient values of the radix are selected. Comparison with other dividers for radices 2/sup 9/ to 2/sup 18/ is performed using the same assumptions.