Kayan noktalı ve aralıklı aritmetik için tersi işlemi ünitesi tasarımı ve gerçekleştirimi

ABSTRACT Floating-point computations suffer from undetected errors due to rounding and catastrophic cancellation. Fast computers let programmers write numerically inten sive programs, but computed results can be far from the true results due to the accu mulation of errors in arithmetic operations. Interval arithmetic provides an efficient method for monitoring and controlling errors in numerical computations. With inter val arithmetic, each data value is represented by two floating-point numbers which correspond to the endpoints of an interval, such that the true result is guaranteed to lie on this interval. To support interval arithmetic, several software tools have been developed including interval arithmetic libraries, extended scientific program ming languages, and interval enhanced compilers. The main disadvantage of these software tools is their speed, since interval operations are implemented using function calls. To speed up interval arithmetic, hardware support for interval arithmetic oper ations (addition/subtraction, multiplication, division, and comparison/selection) has been developed. In this research, hardware support for interval reciprocal operation is investigated. The combined interval and floating-point reciprocal unit is designed to support both interval and floating-point reciprocal operations. The unit that supports reciprocal operation for interval and floating-point arithmetic is implemented at gate level and tested. Furthermore, the unit is synthesized to estimate the number of gates and delays.