Capacitive DACs (C-DACs) are widely used as stand-alone DACs or in an ADC as auxiliary DACs. An important performance metric of a C-DAC is its energy consumption and the linearity between the digital input and the analog output. In multi-bit C-DACs, the mismatch between the capacitors can degrade linearity, which can be important in high-resolution applications. In this work, we analyze the power consumption and linearity performance of a class of C-DACs called split-array C-DACs. We show that the simple element rotation technique, which is widely used to suppress the mismatch error of DACs, cannot be used with the power-efficient three-level switching scheme to effectively suppress the mismatch error. Then, we propose a switching scheme which can be used with the power efficient three-level switching and can suppress the in-band mismatch error effectively.