1a. (10 points) You have been tasked with considering an increase to the toll to 75 rather than the past 50 cents charge as promised over 2 decades past would not return once paid off. Show a state diagram on the back of this paper or another one with ONLY FOUR states that would do the following:

• The system only accepts quarters and $1 dollar bills, returning quarters for change
• The only variables used should be: Q_in, D_in, Q_out, G (for open gate), Q₁, and Q₀

Hint: You may design it so that when a dollar is input that it is latched since > 75

1b. (10 points) Determine the state diagram for your state machine system where the

both the sequential and combinational outputs are clearly shown along with the necessary input conditions and/or dont cares.

1c. (10 points) Generate the necessary equations from your state diagram as if you were to implement the design without the use of PLDs. Be sure to show REDUCED