Systems and methods for processing and storing digital information are described. One embodiment includes a method for linearizing digital-to-analog conversion including: receiving an input digital signal; segmenting the input digital signal into several segments, each segment being thermometer-coded; generating a redundant representation of each of the several segments, defining several redundant segments; performing a redundancy mapping for the several segments, defining redundantly mapped segments; assigning a probabilistic assignment for redundantly mapped segments; converting each redundantly mapped segment into an analog signal by a sub-digital-to-analog converter (DAC); and combining the analog signals to define an output analog signal.