Design a circuit that will tell whether a given month has 31 days in it. The month

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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. 

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