Question $3$

$($Please hand draw$)$ You are taking three courses, one each in computing $($C$),$ engineering $($E$),$ and math $($M$).$ In each course,

you periodically receive assignments. You never receive more than one assignment at a time. You also

never receive another assignment in a course if you currently have an assignment in that course that has

not been completed. You must procrastinate $($i$.$e$.,$ do nothing$)$ unless you have unfinished assignments in

both computing and engineering.

Design a finite state machine to describe the work you have to do and whether you are working or

procrastinating.

Label each state with the unfinished assignments $($with letters C$,$ E$,$ and M$)$ you currently have

There are six inputs: $c,e,m\frac{,}{b}ar(c)\frac{,}{b}ar(e)\frac{,}{b}ar(m).$ Inputs $c,e,$ and $m$ refer to you receiving an assignment.

Inputs $\frac{?}{\text{b}\text{a}\text{r}}(c)\frac{,}{b}ar(e)\frac{,}{b}ar(m)$ refer to your completed assignment.

The output of each state is your behavior. Label the outputs of each state.

$1$ if you are working on an assignment

$0$ if you are procrastinating.

Example: If you currently have a computing homework assignment and you received an

engineering assignment. The states and transition will look like this