design a circuit that will tell whether a given month has 31 days in it. the month is specified by a 4-bit input α3:0. 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. write the simplified equation, and draw the circuit diagram using a minimum number of gates.
