Design a circuit that takes as input a month as specified by a 4- bit integer and outputs whether the name of the month starts with the letter J (the month is one of January, June, July). If the input is 0001, the month is January and if the input is 1100, the month is December. The output, Y, should be 1 only when the input month starts with J. Write the simplified equation and draw the circuit diagram using the minimum number of gates.