Abstract: The arithmetic operations performed for floating point format numbers involve procedures having a multiplicity of major steps. In the performance of the effective subtraction operation, the determination of absolute value of the difference between the operand exponent arguments must be obtained in order to determine the correct procedure. In the present invention, a difference between a subset of the operand exponent arguments is calculated and the result of this calculation is used to anticipate the correct procedure. By careful selection of the anticipated correct procedure, when the selection is erroneous, the correct result is immediately available. The availabilty of the correct result is achieved by selecting the subset of operand exponent arguments so that, in the event that the result is erroneous, the correct difference is such that the associated operand fraction (i.e., to be shifted by the amount of the difference) is shifted completely out of the operand fraction field (stored in a register).