Computer Science Engineering (CSE) Exam  >  Computer Science Engineering (CSE) Questions  >  Which of the following isTRUE?a)Every relatio... Start Learning for Free
Which of the following is TRUE?
  • a)
    Every relation in 3NF is also in BCNF
  • b)
    A relation R is in 3NF if every non-prime attribute of R is fully functionally dependent on every key of R
  • c)
    Every relation in BCNF is also in 3NF
  • d)
    No relation can be in both BCNF and 3NF
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Which of the following isTRUE?a)Every relation in 3NF is also in BCNFb...
BCNF is a stronger version 3NF. So every relation in BCNF will also be in 3NF.
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Which of the following isTRUE?a)Every relation in 3NF is also in BCNFb...


Relation in BCNF and 3NF




Explanation:


  • Relation in BCNF: A relation is in Boyce-Codd Normal Form (BCNF) if for every non-trivial functional dependency X → Y in R, X is a superkey. This means that there should be no non-trivial functional dependencies where the determinant is not a superkey.

  • Relation in 3NF: A relation is in Third Normal Form (3NF) if it is in 2NF and every non-prime attribute is fully functionally dependent on the primary key.






Relation between BCNF and 3NF:


  • In general, a relation can be in BCNF without being in 3NF because BCNF only deals with functional dependencies that have a superkey as the determinant, while 3NF ensures that every non-prime attribute is fully functionally dependent on the primary key.

  • Therefore, every relation in BCNF is not necessarily in 3NF, but every relation in 3NF is also in BCNF since it satisfies the condition of having superkeys as determinants for functional dependencies.






Conclusion:


  • Hence, the correct statement is that every relation in BCNF is also in 3NF, but not every relation in 3NF is necessarily in BCNF.

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Which of the following isTRUE?a)Every relation in 3NF is also in BCNFb)A relation R is in 3NF if every non-prime attribute of R is fully functionally dependent on every key of Rc)Every relation in BCNF is also in 3NFd)No relation can be in both BCNF and 3NFCorrect answer is option 'C'. Can you explain this answer?
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