Circuit and method for determining multiplicative inverses with

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G06F 752

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active

058187448

ABSTRACT:
Digital circuits determine multiplicative inverses using look-up tables which, in response to an address signal, provide a signal indicating a multiplicative inverse. The look-up tables store values indicating inverses for numbers between 1 and 2. The circuit factors a value to be inverted as product a power of two and a factor between 1 and 2. An address signal indicating the factor is applied to the look-up table, and the look-up table provides a signal which indicates the inverse of the factor. The signal provided by the look-up table is then converted to the proper scale for the exponent N. Factoring and conversion may be accomplished with logical shifts so that no multiplier is required. The look-up table may be compressed by not storing bits of inverses, which are constant or only change once within the range of the look-up table and by only storing look-up values for every other number within the range of the look-up table. A code bit in each look-up table value permits generation of correct inverses for values not stored.

REFERENCES:
patent: 3859512 (1975-01-01), Ritzinger
patent: 4823301 (1989-04-01), Knierim
patent: 4917443 (1990-04-01), Kramer et al.
patent: 4991132 (1991-02-01), Kadota
patent: 5012438 (1991-04-01), Yamaguchi
patent: 5176429 (1993-01-01), Junichi et al.
patent: 5193886 (1993-03-01), Gloceri
patent: 5193887 (1993-03-01), Bleckman et al.

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