Consider an automatic system to fill the water in a container. Container is equipped with three sensors A, B and C. Water filling is controlled by two water pumps X and Y, as shown in figure 1. All the sensors are identical and produce logic 1 when water touches them and produce logic 0 if no water touches them. Both the water pumps run when they get logic 1 and remain off otherwise. The ON/OFF state of the water pump is subjected to the following conditions. i. Both the pumps should run when water level is below the sensor B ii. Only pump X should run when water level is between sensor A and B iii. Only pump Y should run when water level reaches sensor A iv. Both the pumps should be off for any other condition
Design this digital system and show the results in form of: a. Simplified Boolean expressions to control the pump X and pump Y b. Gate-level logic diagram to produce X and Y c. Decoder-based logic diagram to produce X and Y
Given An automatic water level control. 3 inputs sensors A,B and C. 2 outputs X and Y TRUTH TABLE A B C X Y 0 0 0 1 1 0 0 1 1 1 0 1 0 0 0 0 1 1 1 0 1 0 0 0 0 1 0 1 0 0 1 1 0 0 0 1 1 1 0 1 (a) k map for motor xfrom k-map .X= bar(A) bar(B)+ bar(A)CK-map for motor Y.from k ... See the full answer