electrical engineering and computer science

Q3: For the following design problem, make a truth table, find the simplified equation of the circuit (using Boolean algebra or K-Map), and draw a logic diagram of the circuit (you can draw the diagram by hand). Hint 1: Remember to take advantage of don't care. Hint 2: The circuit should use only one 4:1 MUX. Problem: Design a circuit that will tell whether a given month has 31 days in it. The month is specified by a 4-bit input, A3:0. For example, if the inputs are 0001, the month is January, and if the inputs are 1100, the month is December. The circuit output, Y, should be HIGH only when the month specified by the inputs has 31 days in it. However, if the input is not a valid month (such as 0 or 13) then the output is don't care (can be either 0 or 1)