Please, kindly explain this slide. Its regarding discrete math, Finite state machines with outputs

An Example of a Finite$-$State Machine

with Output

We repi

We will trace the transitions and outputs of the vending machine when a student puts in a dime

followed by a quarter, receives $5$ cents back, and then pushes the orange button and receives an

orange juice.

The machine starts in state $s_0.$

The first input is $10$ cents, which changes the state to $s_2$ and gives no output.

After the second input of $25$ cents, the state changes to $s_6$ and gives $5$ cents as output.

The last input is the orange button, which changes the state back to $s_0$ and gives an orange juice

as output.

lump to long description

Q$2019$ Whermentilliducation

A ssume we are at $S_5.$ wnite down the

output and the new skate if

$(1)$ input is $5.$ outpat is $n,$ state $S_r$

$(2)$ input

output is $={?}_{?}$

$(3)$ input