Electrochemical micro-sensors made of nano-graphitic (NG) carbon materials could offer high sensitivity and support voltammetry measurements at vastly different temporal resolutions. Here, we implement a configurable CMOS biochip for measuring low concentrations of bio-analytes by leveraging these advantageous features of NG micro-sensors. In particular, the core of the biochip is a discrete-time ∆Σ modulator, which can be configured for optimal power consumption according to the temporal resolution requirements of the sensing experiments while providing a required precision of ≈ 13 effective number of bits. We achieve this new functionality by developing a design methodology using the physical models of transistors, which allows the operating region of the modulator to be switched on-demand between weak and strong inversion. We show the application of this configurable biochip through in-vitro measurements of dopamine with concentrations as low as 50nM and 200nM at temporal resolutions of 100ms and 10s, respectively.