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المستخلص
The thesis presents a hardware oriented table lookup less method for com puting correctly rounded IEEE 754 {uFB02}oating-point elementary functions. The method uses a minimax approximation polynomial of a high degree within a single wide range as opposed to the currently dominant table based designs that have to use large look up tables while maintaining low degree piece wise polynomials to achieve the accuracy required for correct rounding. The method was applied for single precision and double-precision trigonometric functions as well as single-precision exponential and logarithmic functions