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for a given BDD is there possible to be two zdd? Because in the solution the right Zdd is given. But if I calculate with my own and get the left diagram will it be okay in the exam?
For any boolean function and any variable ordering, BDDs, ZDDs, and FDDs are uniquely determined. So, there can only be one ZDD. Using the teaching tool, I get the following ZDD:
That is one one on the right in your solutions.