(6 pts) For a coffee shop, we want to design a machine that dispense only coffee,...

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(6 pts) For a coffee shop, we want to design a machine that dispense only coffee, tea or milk. This machine must have a button for each choice, and a customer can have at most one of the three choices. Step one is provided for your input and output as: Input C= coffee button (1= pushed, 0 = not pushed) T = tea button (1= pushed, 0 = not pushed) M = milk button (1= pushed, 0 = not pushed) Output F = choice verifier (1 = acceptable input, delivers the choice selected, 0= unacceptable input) a. Construct the truth table giving the output desired for each input b. Write a Boolean expression with a term for each 1 output row of the table C. Draw the circuit (6 pts) For a coffee shop, we want to design a machine that dispense only coffee, tea or milk. This machine must have a button for each choice, and a customer can have at most one of the three choices. Step one is provided for your input and output as: Input C= coffee button (1= pushed, 0 = not pushed) T = tea button (1= pushed, 0 = not pushed) M = milk button (1= pushed, 0 = not pushed) Output F = choice verifier (1 = acceptable input, delivers the choice selected, 0= unacceptable input) a. Construct the truth table giving the output desired for each input b. Write a Boolean expression with a term for each 1 output row of the table C. Draw the circuit