1. Construct a finite state machine for the 3-bit Gray code counter. The counter is to be designed with one input terminal (which receives pulse signals) and one output terminal. It should be capable of counting in the Gray system up to 7 and producing an output pulse for every 8 input pulses. After the count 7 is reached, the next pulse will reset the counter to its initial state, i.e., to a count of zero.
