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after making the truth table I am unable to make the appropriate circuit diagram. I don't know how am I supposed to produce the r-1's complement as the output.

AMT
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  • This sounds like homework: the point is to learn how to answer such questions. – Richard Sep 20 '17 at 11:46
  • This is not homework. I assure you that. This was one of the questions in my test and I am unable to design the logic circuit. – AMT Sep 20 '17 at 13:20

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convert the input value in base 5 to binary using 3 bits, and then should be easy. Use k map for every bit of output to get the minimum cost.

Aaron
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  • you are totally correct. But I was asking about the circuit. I don't know how am I supposed to produce a 3-bit number through logic gates – AMT Sep 21 '17 at 00:04