State machine design an old tv remote control and tv only supports 2-digit channels: 00-99. normally, to change the channel we would have to hit two buttons: 38, first 3 then 8, and as soon as you hit the second button it should change the channel. however, for channels 0-9 the remote should allow you to just enter 1-digit and if another button is not pushed soon afterwards should cause the channel to be changed. implement a state machine that can indicate when the channel should be changed. after it is changed, restart waiting for a push. have a single input push and single output change. if you get the 1 push but then don't get the second push within 2 cycles, just change the channel no matter what. use four states: opush, 1push, wait, change