Design a circuit that will tell whether a given month has 31 days in it.The month is specified by a 4-bit input A, B, C, and D. For example, if the inputs are 0001, the month is January, and if the inputs are 1100, the month is December. The circuit output F should be 1 only when the month specified by the inputs has 30 days in it. Write the simplified expression, and draw the circuit diagram using a minimum number of gates. (Hint: Remember to take advantage of don’t cares.)

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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 A, B, C, and D. For example,
if the inputs are 0001, the month is January, and if the inputs are
1100, the month is December. The circuit output F should be 1 only
when the month specified by the inputs has 30 days in it. Write the
simplified expression, and draw the circuit diagram using a
minimum number of gates. (Hint: Remember to take advantage of
don’t cares.)

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