I only need Problem 2 (a) solved. I need a K-map for W as an output, a separate K-map for X as an output, a separate K-map for Y as an output, and a separate K-map for Z as an output. Thank you

Problem 1: A bank wants to install an alarm system with 3 movement sensors. To prevent false alarms produced by a single sensor activation, the alarm will be triggered only when at least two sensors activate simultaneously. Implement a circuit that will achieve this result, as a combinational circuit to support the 3 inputs and one output. The output (triggering an alarm) will be 1 anytime two or more of the inputs is 1 , and the output will be 0 at all other times. (a) Show the truth table for this circuit. (b) Use a Karnaugh Map to minimize this circuit and show ALL of your work. (c) Use the Cedar Logic software to illustrate the inputs, outputs and gates required to implement the minimized circuit identified in (b) above. Problem 2: Gray codes are very useful in the normal sequence of binary numbers generated by the hardware, where an error or ambiguity can happen during the transition from one number to the next. So, the Gray code can eliminate this problem easily since only one bit changes its value during any transition between two numbers. So, an advantage of Gray code over binary code is that only one bit changes for each step. This is very useful in circuits that are sensitive to glitches. Design a combinational logic circuit that convers 4 bits of binary code to Gray code. Here is the truth table associated with the Binary code to Gray code translation: (a) Use a Karnaugh Map to minimize each output bit (W, X,Y,Z) circuit and show ALL of your work. (b) Use the Cedar Logic software to illustrate the inputs, outputs and gates required to implement the minimized circuit identified in (b) above