1. We would like to design a binary counter that counts the following sequence: 000, 110, 111, 100, 101, 001, (repeat) 000,.. (a) Draw the state graph of the binary sequence. (b) Suppose that we use variables A, B, C to represent the counter states. Complete the next state table of At,B+,C+ as a function of A, B, C. (c) Derive the logic equations of At,B+,C+ as a function of A, B, C. (d) Draw the hardware implementation of the counter using the logic devices of your choice