A method for coding multiple binary data into a bitstream is disclosed. The method splits each of four luma binary data into a luma context-dependent segment and a luma context-independent segment, and splits one chroma binary data into a chroma context-dependent segment and a chroma context-independent segment. The method groups first coded data including four coded luma context-dependent segments, second coded data including four coded luma context-independent segments and third coded data including a coded chroma context-dependent segment and a coded chroma context-independent segment. The method further performs, separately, context adaptive binary arithmetic coding on the first coded data and the chroma context-dependent segment using a variable probability. The method also performs, separately, bypass coding on the second coded data and the chroma context-independent segment using a fixed probability.