In short: the “2NF” answer usually comes from a mistaken / restricted reading that treats only the explicitly listed capitalized attribute as the key and ignores what the FDs actually imply about candidate keys.

When we merge all three tables into one universal relation

𝑅(name, addr, memberno, description, director, serialno, date) R(name, addr, memberno, description, director, serialno, date) and apply the normal-form rules:

It clearly has atomic columns → 1NF holds

There are no partial dependencies on a composite key → 2NF holds

However, it exhibits a transitive dependency

(serialno, date) → memberno →(name, addr) (serialno,date)→memberno→(name,addr) where name and addr depend indirectly on serialno and date, violating 3NF’s “no non-key → non-key” rule

.

Since it fails 3NF, it cannot be in BCNF.

Thus, the highest normal form satisfied is 2NF.

There is a transitive dependency in movies relation, between serial no and Description, hence not in 3NF.

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