You are required to design a digital controller for a simple soft drink vending machine

that only one kind of soft drink is available inside. Each can of the soft drink costs $$3.$

The vending machine accepts $$1$ coin and $$2$ coin only. Note also that the vending

machine only allows inserting one coin at a time. Change is returned if more than $$3$

have been deposited. The controller has the two binary inputs $($A and B$)$ for receiving

the two types of coins. The controller has two binary outputs $($C and D$)$ for delivering

a can of soft drink and returning change. The information of the values of the inputs

and outputs are as follows.

i$.$ A will be set to $1$ iff a $$1$ coin is inserted;

ii$.B$ will be set to $1$ iff a $$2$ coin is inserted;

iii. C is set to $1$ iff a can of soft drink is to be released;

iv$.D$ is set to $1$ iff change is to be given.You are required to design a digital controller for a simple soft drink vending machine

that only one kind of soft drink is available inside. Each can of the soft drink costs $$3.$

The vending machine accepts $$1$ coin and $$2$ coin only. Note also that the vending

machine only allows inserting one coin at a time. Change is returned if more than $$3$

have been deposited. The controller has the two binary inputs $($A and B$)$ for receiving

the two types of coins. The controller has two binary outputs $(C$ and $D)$ for delivering

a can of soft drink and returning change. The information of the values of the inputs

and outputs are as follows.

i$.$ A will be set to $1$ iff a $$1$ coin is inserted;

ii$.$ B will be set to $1$ iff a $$2$ coin is inserted;

iii. C is set to $1$ iff a can of soft drink is to be released;

iv$.D$ is set to $1$iff change is to be given.

a$)$ Draw a Mealy state diagram of the controller. Clearly define the states you used in

the diagram.

b$)$ Determine the state table for a$)$ with JK Flip$-$flops' excitation.

c$)$ Determine the expressions of the inputs of the JK flipflops to minimum SOP

forms.

d$)$ Draw a Moore state diagram of the controller. Clearly define the states you used in

the diagram.