Create a state machine that recognizes the bit sequence "001". It will read a single bit at a time. It always outputs a logic 0 until after it has seen the "001" sequence, then it outputs a 1. a) Draw the truth table for the input bit, current state bits, next state bits, and output bit. (6pts) b) Use Karnaugh maps to find minimal boolean equations that describe the next state bits and output bit. (3bits X 3pts -9pts) c) Create a circuit in LogicWorks using simulation gates and D flip flops that implements the state machine. You may use the cell "D Flip Flop" provided in the "Simulation Logiq" library. Attach switches to the inputs and probes to the output. (5pts)