4. In a certain chemical processing plant, a liquid chemical is used in a manufacturing process. The chemical is stored in three different tanks (x, y, z). A level sensor in each tank produces a HIGH voltage (logic 1) when the level of chemical in the tank drops below a specified point. Design a digital circuit that monitors the chemical level on all the three tanks and indicate a status (or give alarm) on the following conditions; (the level on tank y and tank z drops below the specified point) OR (the level on tank x and tank z drops below the specified point) OR (the level on all the three tanks drops below the specified point). (4 pts) a. Construct the truth table for the function, F(x, y, :) representing the status (alarm) indicator b. Write the function as sum of ininterms and product of maxterns. Please give your answers as a function of x, y, and . c. Determine the simplified sum of products (SOP) form functional representation of F(x, y, z) and the draw the logic circuit diagram for the simplified function