Finding output code word for message sequence

Question

Assignment:

Figure illustrates a recursive systematic convolutional (RSC) rate 2/3, K = 3, en-coder. Note that the figure uses the format of 1-bit delay blocks rather than storage stages. Form a table, similar that describes all possible transitions in this circuit, and use the table to draw a trellis section. Use a table. similar to find the output code word for the message sequence 1100110011. At each clock time, data bits enter the circuit in pairs (du, d_2k}, and each output branch word (d_1k, d_2k, v_k) is made up of that pair of data bits plus one parity bit, v_k.

Provide complete and step by step solution for the question and show calculations and use formulas.