Phase coarsening is a diffusional phenomenon, causing a simultaneous growing of larger particles and dissolving the smaller ones, which occurs in many metallic and nonmetallic systems. Phase Field Crystal (PFC) model is a modeling framework which has the potential of capturing the atomic-scale resolutions in micro-scale and diffusive time-scale simulations. We present a two-mode binary PFC model, and its quantification approach for example binary materials; e.g., Pb-Sn, Fe-Cr, and Al-Cu systems. The binary PFC model builds upon a two-mode PFC model for pure system that can provide stable fcc, bcc, hcp, diamond, and tetragonal crystal structures; thus, it can capture solid-state phase transformations in binary systems. The PFC model receives material thermodynamics data such as partial correlation functions, eutectic point, and solidous-liquidus curves. We illustrate the potential of the model by simulating material processes such as particle coarsening in solid-liquid mixtures and spinoidal decomposition.