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design a combinational circuit with three inputs and one output the output is one when the binary value of the input is less than three the output is zero otherwise solution solution let the three inputs be a comma b comma c three inputs two raised to three eight combinations for zero to seven combinations of input output is one for zero to two output is zero for three to seven here is the truth table for the circuit zero two seven combination output is one for zero one two and output is zero for rest of them if i draw the k map it would look like this a dash a b c dash b c b c b c this is the k map for three variables so these boxes are for zero one two three four five six seven output is one four zero one two if i solve this k map by minimizing the ones grouping this two one and this two ones output of k map coming as a dash b dash plus a dash c dash here is the circuit a dash b thatamp;#39;s going to and get er c does going to and gate now ordering them up here is the output