Help me fill the Q3-2 please, I provide Q3-1 table below

Q3-1 table

Q3. (14pts) Design a sequential system by simplifying the states. Q3-1. Draw the corresponding state transition table with 7 states (i.e., S0-S6). Tha nriainal etato traneition tahla Simplify it to a new state transition diagram with 4 states. Fill in this simnlified state transition table Q3-2. Allocate 2JK flip-flops (A and B) to this simplified state transition. Q3-3. Determine and simplify Boolean equations to these two JK flip-flops' inputs, (i.e., Ja/Ka, and Jb/Kb ) using K-maps. Q3-4. Determine and simplify a Boolean equation to represent the output Z. \begin{tabular}{ccccc} & \multicolumn{2}{c}{ Input X=0 } & \multicolumn{2}{c}{ Input X=1 } \\ Current State & Next State & Output Z & Next State & Output Z \\ S0 & S0 & 0 & S4 & 1 \\ S1 & S4 & 1 & S2 & 0 \\ S2 & S0 & 1 & S3 & 1 \\ S3 & S5 & 0 & S6 & 1 \\ S4 & S1 & 1 & S2 & 0 \\ S5 & S5 & 0 & S4 & 1 \\ S6 & S0 & 1 & S3 & 1 \end{tabular}