Design a circuit that controls a given digital system with three inputs: x1, x2, and x3. The circuit needs to recognize three different conditions: a) Condition A is true if x3 is true and either x1 is true or x2 is false. b) Condition B is true if x1 is true and either x2 or x3 is false. c) Condition C is true if x2 is true and either x1 is true or x3 is false. The control circuit must produce an output of 1 if at least two of the conditions A, B, and C are true. Design and draw the schematics of the unsimplified circuit that can be used for this purpose. Hint: Design the gates to implement conditions A, B, and C; then implement the majority voting circuit of AB, AC, BC.