This paper proposes a SAR ADC whose readout speed is improved by 33%, through applying a digital error correction (DEC) method, compared to an alternative without using the DEC technique. The proposed addition-only DEC alleviates the ADC's incomplete settling errors, hence improving conversion rate while maintaining accuracy. It is based on a binary bridged SAR architecture with 4 redundant capacitors and conversion cycles, which ensure the ADC's linearity of 10 bit within a 5 bit accuracy's settling time. The proposed SAR keeps the same straightforward timing diagram as that in a conventional SAR ADC, incurring no offset to the ADC. Measurement results of 15 columns of SAR ADCs, sampling at 5 MS/s on the same CMOS image sensor (CIS) chip, show integral nonlinearity (INL) around 3 LSB (1LSB = 1mV), when sampling at 5 MHz, after a proposed swift digital background calibration that incurs no additional hardware complexity. The CIS array read out by the proposed column-level SAR ADCs is measured reasonable photoelectron transfer characteristics.