CSC$/$EEE$120$Moore Machine Design ProblemsName: $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$ I.D$.$ #: $\_\_\_\_\_\_\_\_\_\_\_\_$ Score:$\_\_\_\_\_/60$ pts total, $(20$pts each$)$For each of the three problems below fill in a template worksheet for a Moore Machine design and then simulate the circuit in LogicWorks, using your design. Each problem is worth $20$ points, for a total of $60$ points. Clearly label the LogicWorks circuits and attach them to the back of these worksheets when submitting. Points will be deducted for disorganized, messy, or unreadable submissions$\mathrm{.}1)$ Sequence Detector. Design a sequence detector that has one input and one output. The inputs will arrive one bit at a time, and the machines output will be a $1$ whenever the sequences of $010$ or $1001$ are detected; otherwise, the output will be a $0.$Example Input: $010010100110010$Machine Output: $0010110101000112)$ Score Keeping Machine. Design a machine to determine the winner of a game. There will be two players who can score one point at a time. To win the game, a player must be ahead by three points. $($The total number of points scored does not matter, only how many points a player is ahead by$.)$ The score keeping machine will keep track of who is ahead and by how many points. When player $0$ is ahead by three points, the machine will output a $00.$ When player $1$ is ahead by three points, the machine will output a $11.$ When neither player has won, the machine output a $01\mathrm{.}3)$ Carnival Game. Design a machine to keep track of a carnival game. To win the game, a person has $3$ chances to make $2$ baskets. The machine will keep track of whether the person wins a prize or not. If the player scores $2$ baskets, the machine will output a $11.$ Once the player has lost, the machine will output a $00.$ During the game, the output will be a $01.$