Provided are a method of controlling a range of representable numbers includes receiving a floating point value represented by an exponent and a mantissa, each represented by a predetermined numbers of bits, determining a bit configuration of the exponent and the mantissa of the floating point value based on a value of a most significant bit of the exponent of the floating point value, and determining a constant required for calculation of the floating point value according to the determined bit configuration of the exponent, and an apparatus for providing such a method.