Very-high radix division with prescaling and selection by rounding

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 2^9 to 2^18 is performed using the same assumption

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