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1. A circuit has four inputs D, C, B, A encoded in 8421 natural binary form.The inputs in the range 00002 = 0 to 10112= 11 represent the months of theyear from January (0) to December (11). The output of the circuit is a logicaltrue if the month represented by the input has 31 days. Otherwise the outputis false. Inputs in the range 1100 to 1111 (i.e., 12 to 15) cannot occur (don'tcare on K-map).a) Draw a truth table to represent the problem and use it to construct aKarnaugh map.b) Use the Karnau
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