Please solve this with solutions

1. There is a mixing tank equipped with three binary sensors: Temperature sensor (T), Liquid Level sensor (L), and Timer (M). These sensors produce at 5V output when specic conditions are met; otherwise, they output 0V. Temperature Sensor (T): Outputs 5V when the temperature is 60C; 0V otherwise. Level Sensor (L): Outputs 5V when the liquid level is 150 cm; 0V otherwise. Timer (M): Outputs 5V after 10 minutes of mixing; 0V otherwise. The tank can be evacuated through a valve F, which opens when at least two sensors output 5V simultaneously. After evacuation, valve F closes, and all sensors are reset to 0V. Tanks: (5 x 2 marks) a) Draw the logic diagram (circuit diagram) for the given scenario. b) Prepare the truth table based on the provided scenario and find the sum-of-products. c) Sketch the Kai'naugh Map (Kmap) for the mction. (1) Using the Kamaugh Map, minimize the function. e) Draw the circuit diagram for the minimized function. Using values of l and zero to refer to status of valve F, open and close, respectively. 2. Construct a circuit using only NOT, AND, and OR gates to produce these outputs. Hint: start by creating the sum-of-products expression. Show all your steps. (5 maa) (3+Z)(?By) 3. Construct a k-map and simplify the following expression to its minimal form: (5 marks) AFC?) + xi CD + AECD +3361) + ABC!) + ABC!) + ABC'17 + ABC!) + ABCD 4. List the members of the following sets: (2 x1 mark) a. (yly = x:l.x e Z\