Produce truth$-$table and corresponding Boolean equations for followings:

$$ Americano$($A$),$ Espresso $($E$),$ or Latte $($L$)?$ Paradise Coffee Shop orders a machine to dispense

Americano$($A$),$ Espresso $($E$)$ and Latte $($L$).$ Design the machine so that it has a button $($input line$)$

for each choice and so that a customer can have at most one of the three choices. Diagram the

circuit to ensure that the $$at most one$$ condition is met.