From real-time battery estimation viewpoint, weak observability of individual electrode states from terminal voltage measurement is a major barrier. Nevertheless, such electrode-level information can help expand usable energy/power as well as lifespan of the battery cell by enabling electrode-level limit based battery control. Motivated by these promising improvements, we present a real-time framework for estimating charge and health of individual electrodes. Essentially, the weak observability of the electrodes is addressed by decomposing the overall estimation problem into two sub-estimators that work in a cascaded manner to provide charge and health information for individual electrodes. The performance of the proposed scheme is illustrated by using an experimentally identified battery model that considers essential nonlinearities in electrodes' Open Circuit Potential (OCP) functions and resistances as well as dominant Solid Electrolyte Interphase (SEI) aging mechanism. Simulation case studies are presented based on this identified model which validate the effectiveness of the proposed framework.