INL values are determined for a plurality of sub-segments of a DAC that is adapted to accept N bit digital input codes, and a first set of correction codes that can be used to reduce to a range of INL values (to thereby improve linearity of the DAC) are determined and stored. Additionally, DNL values are determined for the plurality of sub-segments for which INL values were determined, and a second set of correction codes that can be used to ensure that all values of DNL>−1 (to thereby ensure that the DAC is monotonic) are determined and stored. This can include using one or more extra bits of resolution to remap at least some of the 2^N possible digital input codes (that can be accepted by the DAC) to more than 2^N possible digital output codes, to ensure that all values of DNL>−1. Such stored first and second sets are thereafter used when performing digital to analog conversions.