Please explain every question and solution

MATH18584 Fundamentals of Comguter Mathematics Assignment #2 Winter 2023 This assignment will be graded out of 30 This assignment is to be completed individually. Assignments copied in whole or in part will receive a grade of ZERO. 0 Answers may only be submitted in the following formats: 0 Microsoft Word Document (.docx) 0 Adobe PDF Document (.pdf) 0 Do not submit external links. a Scanned documents need to be legible and in pdf format. 1. There is a mixing tank equipped with three binary sensors: Temperature sensor (T), Liquid Level sensor (L), and Timer (M). These sensors produce a 5V output when specific conditions are met; otherwise, they output 0V. Temperature Sensor (T): Outputs 5V when the temperature is 609C; 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. Tasks: (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 nd the sum-of-produets. c) Sketch the Kamaugh Map (Kmap) for the function. d) Using the Karnaugh Map, minimize the function. e) Draw the circuit diagram for the minimized function. Using values of l and zero to refer to status ofvalvc 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 marks) (3 +Z)(TGB y) 3. Construct a k-map and simplify the following expression to its minimal form: (5 marks) ABC]? +15 CD +IIECD +3355 +1TBCD +1TBCD +ABC'lj-l-ABC'D +ABCD 4. List the members of the following sets: (2 x 1 mark) a. (y|y = riff1,9: e Z'Zx