Design and implementation of reciprocal unit using table look-up and Newton-Raphson iteration | IEEE Conference Publication | IEEE Xplore

Design and implementation of reciprocal unit using table look-up and Newton-Raphson iteration


Abstract:

Combination of initial approximation through a table look-up and Newton-Raphson iteration is an effective way to compute reciprocal, which may replace the division operat...Show More

Abstract:

Combination of initial approximation through a table look-up and Newton-Raphson iteration is an effective way to compute reciprocal, which may replace the division operation. This paper presents the design and implementation of reciprocal unit, which computes the reciprocal of double precision of floating-point number in eleven clock cycles. The presented design utilizes a 2/sup 10/ /spl times/ 20 bits ROM followed by two Newton-Raphson iterations. The design is implemented in VHDL and synthesized to estimate the area and the worst case delay. Simulation results show that the least significand bit of the result cannot be guaranteed to be correct for all cases.
Date of Conference: 31 August 2004 - 03 September 2004
Date Added to IEEE Xplore: 20 September 2004
Print ISBN:0-7695-2203-3
Conference Location: Rennes, France

References

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