Abstract: A method for correcting a shift error in a fused multiply add operation. The method comprises adjusting a normalized floating-point number before performing a shift error correction to produce an adjusted normalized floating-point number, and correcting a shift error in the adjusted normalized floating-point number. The correcting the shift error comprises shifting a mantissa of the adjusted normalized floating-point number in one direction. A fused multiply add module comprising a normalizer module, a compensation logic, and a round. The normalizer module is operable to normalize a floating-point number to produce a normalized floating-point number. The floating-point number is normalized based upon an estimated quantity of leading zeros. The compensation logic is operable to manage a correction of a shift error in the normalized floating-point number. The rounder is operable to correct the shift error with a mantissa shift in only one direction.