Abstract :
A general approach to the problem of scaling machine arithmetic is developed. This leads to the determination of inequalities that can serve as a basis for the derivation of systematic scaling techniques. The inequalities and techniques are shown to apply to complement arithmetic with either integral or fractional machine operations and to absolute value and sign arithmetic for both types of operations. A detailed discussion is presented for the case of complement integer arithmetic. The connections with floating point arithmetic are derived.
Keywords :
Floating point arithmetic, scaling absolute value and sign arithmetic, scaling complement arithmetic, scaling fractional operations, scaling integral operations, scaling machine arithmetic; Analog computers; Computer errors; Design engineering; Digital arithmetic; Floating-point arithmetic; Hardware; Integral equations; Program processors; Programming profession; Floating point arithmetic, scaling absolute value and sign arithmetic, scaling complement arithmetic, scaling fractional operations, scaling integral operations, scaling machine arithmetic;
