Consider the construction of a vending machine's logic. Assume that every soda costs a quarter, and that the machine accepts only quarters. E = True indicates the machine is empty, it has no more sodas S = True indicates the user has made a selection P = True indicates the user has paid a quarter The machine may send two control commands to its machinery: V = True indicates machine will give the user a soda (i.e. "vend") R = True indicates machine will return the user's quarter The machine should return a user's quarter only when they have paid and the machine is empty. The machine should give a soda only when a user has paid, made a selection and the machine is not empty. i) Write a truth table for V and R in terms of E, S, P ii) Write an expression for V in terms of E, S, P using boolean operators  iii) Write an expression for R in terms of E, S, P using boolean operators

Consider the construction of a vending machine's logic. Assume that every soda costs a quarter, and that the machine accepts only quarters.

• E = True indicates the machine is empty, it has no more sodas
• S = True indicates the user has made a selection
• P = True indicates the user has paid a quarter

The machine may send two control commands to its machinery:

• V = True indicates machine will give the user a soda (i.e. "vend")
• R = True indicates machine will return the user's quarter

The machine should return a user's quarter only when they have paid and the machine is empty. The machine should give a soda only when a user has paid, made a selection and the machine is not empty.

i) Write a truth table for V and R in terms of E, S, P

ii) Write an expression for V in terms of E, S, P using boolean operators 

iii) Write an expression for R in terms of E, S, P using boolean operators