An application specific integrated circuit (ASIC), consisting of nine basic channels and one auxiliary channel, each containing a 10-bit successive-approximation analog-to-digital converter (ADC), is designed and tested. The microcircuit also includes a buffer storage unit and a reference-voltage source. The microcircuit is intended for converting signals of silicon photomultiplier arrays. To decrease the differential nonlinearity of the ADC without recourse to autocalibration, a new method, based on introducing additional elements into the layout of ADC capacitor arrays, is proposed. The basic feature of the designed microcircuit, which is oriented at the application in the portable equipment with a self-contained power supply, is the low power consumption, which does not exceed 0.5 mW per channel at a sample frequency of 150 kHz.