3. (25 points total) You are required to use JK flip flops design a system corresponding to the following state table: AB 0 1 r 1 x 0 r-1 x-0 0 1 1 0 1 0 First, you need to develop a truth table based on this state table. (7 points) JB KB a. ?' Then, you should use K-maps to derive the minimum SOP expressions for Ja KA, Jr, Kr, and z. ( 10 points) b. AB 01 01 10 10 10 10 c. Finally, draw the logical diagram of the system according to the expressions you derived in part b. (8 points)