A low power voltage regulator includes a weighted transistor array having a plurality of transistor switches with a total conductance of G, corresponding to bits from a MSB to LSB. A transistor switch corresponding to the MSB has a conductance of G/2 and remaining bits have a consecutive descending conductance of G/2N to the LSB, and search time takes a low number of cycles by starting with the MSB. A redundant LSB transistor switch has the same G/2N conductance of the LSB. The redundant LSB is used to correct steady-state errors, and a proportional derivative controller compensates output voltage. The compensation in a method eliminates an output pole of the voltage regulator to provide a stable voltage regulator operation irrespective of load current, load capacitance, or sampling frequency. Voltage can be regulated via the additional LSB below the resolution limit via pulse width modulation.