A processing circuit includes a random access memory (RAM) configured to look up a first next state based on a first address simultaneously with looking up a second next state based on a second address. The first address is formed of a first current state and an input data and the second address is formed of a second current state and the input data. The processing circuit includes a state control circuit that receives the first and second next states, the first current state, and the second current state, and a first-in-first-out (FIFO) memory that stores selected ones of the first and second next states, the first current state, and the second current state. The processing circuit includes a multiplexer configured to selectively pass two states from the FIFO memory or two states from the state control circuit as a third current state and a fourth current state.