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The Correspondence Between Methods of Digital Division and Multiplier Recoding Procedures
August 1970 (vol. 19 no. 8)
pp. 692-701
This paper relates previous analyses of the binary SRT division to the theory of multiplier recoding. Since each binary quotient digit has three possible values, the quotient resulting from the SRT division is in recoded form; in this paper it is shown that the recoding is a function of the divisor, and the method for determining the characteristic Boolean function of the recoding is presented. The relationship between the division and the recoding is established by scaling the division in such a way that the scaled "divisor" becomes a constant. Higher radix results are also discussed.
Index Terms:
Binary arithmetic, division, minimal representations, multiplication, multiplier recoding, redundancy.
Citation:
J.E. Robertson, "The Correspondence Between Methods of Digital Division and Multiplier Recoding Procedures," IEEE Transactions on Computers, vol. 19, no. 8, pp. 692-701, Aug. 1970, doi:10.1109/T-C.1970.223018
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