Precise current measurements underpin emerging applications such as photoplethysmography (PPG), electrochemical sensing, and fast-scan cyclic voltammetry (FSCV) [1–6], where the signal is a low-swing current that rides on a large, slow-varying baseline. Therefore, readout systems need a dynamic-range (DR) > 120dB, bandwidth (BW) >1 kHz, noise floor $< 1\text{pA}_{\text{rms}}/\surd \text{Hz}$, and power 1 mW power. This paper presents a continuous-tirne $\Delta\Sigma$ current-to-digital converter (IDC) that achieves wide-DR and BW at $\mu\mathrm{W}$ power. To this end, it employs: 1) a 2nd-order $\text{CT}-\Delta\Sigma$ structure employing a highly linear pseudo-differential VCO quantizer, 2) an energy-efficient tri-level resistive DAC, and 3) a digital-intensive truncation-noise-shaped baseline-servo (TNS-BS) loop that extends the DR at low power and area.