Transformation of divisor and dividend in digital division

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364761, G06F 738

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active

049492950

ABSTRACT:
A method to adjust the divisor and dividend, for application to a divider, so that the mantissa part of the divisor is transformed to be within a known limited range. The limiting of the transformed divisor range enables the complexity of the quotient select logic to be reduced accordingly. Once the divisor is restricted to the selected range, the dividend is adjusted proportionally so the quotient is unchanged.

REFERENCES:
patent: 4760550 (1988-07-01), Katzman et al.
patent: 4785412 (1988-11-01), Tran
"Simple Radix-4 Division with Divisor Scaling", by Milos D. Ercegovac & Tomas Lang, Computer Science Department Technical Report, University of California, Los Angeles, CA 90024-1596, Mar. 1987, pp. 1-24.
Atkins, "The Theory and Implemtation of SRT Division", Computer Science, University of Illinois, Urbana, Ill., Report No. 230, Jun. 1, 1967.
Atkins, "Higher-Radix Division Using Estimates of the Divisor and Partial Remainders", IEEE Trans. on Computers, vol. C-17, No. 10, Oct. 1968.
Hwang; "Computer Arithemetic", John Wiley & Sons, 1979, pp. 213-239.
Ercegovac et al., "A Division Algorithm with Prediction of Quotient Digits", Proc. 7th IEEE Symposium on Computer Arithmetic, Jun. 1985, pp. 51-56.
Robertson, "Normalization and Quotient Digit Selection for a Variable Precision Arithmetic Unit", University of Illinois, Report No. UIUCDCS-R-86-1229, Apr. 1986.

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