This article describes precision and motion-tolerant digital active electrode (DAE) circuit and system for wearable dryelectrode EEG acquisition. The DAE integrates a low gain chopper instrumentation amplifier (IA) and a $3^{\mathrm{r}\mathrm{d}}$-order 1-bit continuoustime (CT) sigma-delta $(\Sigma\Delta)$ADC, enabling 5-wire “per-electrode” digitization with high resolution, wide input dynamic range (DR), and high input impedance. This work outperforms state-of-the-art AE systems with 49nV/√Hz input-referred noise, 87.8dB SNDR, 700m$\mathrm{V}_{\mathrm{p}\mathrm{p}}$ common-mode input range, 116dB CMRR and 186M$\Omega$ input impedance at 60Hz, ensuring high-quality EEG acquisition in the presence of significant DC electrode offset, CM interference and motion artifact.