# Truth Table does not exhaust all combination. Can it be translated to a circuit? Is it ill-pose?

Step|A|B|C
----------
1   |0|0|1
2   |1|0|1
3   |1|1|0
4   |1|0|0


From the truth table above, I can not find the equivalent boolean expression hence I can not create the logic circuit. Does it have any?

• Is this a truth table or a transition table? – The Photon Jun 24 at 23:21
• My question came from a job interview. After I thought about it, this is more likely a transition table. Thanks for the hint. If it is a transition table, can it be translated to a digital circuit? What subject should I learn to solve this problem? – Ηλεκτρολόγος Μηχανικός Jun 24 at 23:40
• The table was used to drive a DC motor. – Ηλεκτρολόγος Μηχανικός Jun 24 at 23:41
• A and B are the outputs of some sensor. – Ηλεκτρολόγος Μηχανικός Jun 24 at 23:43
• If $C$ is the output and $A$ and $B$ are inputs, then you seem to only need to generate the $C$ output. This is pretty easy. Just use an RS FF and include an NOR and an AND gate. That's all there is. Do you see why? – jonk Jun 25 at 4:20