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Consider a relation R = ABCDEFGH. Primary key AB and additional functional dependencies are
AB → CEFGH, A → D, F → G, FB → H, HBC → ADEFG, FBC → ADC.
What would be the relation after decomposing?
(given FD into 2NF)
  • a)
    ADEFG, BCH
  • b)
    AB, ACDEFGH
  • c)
    AD, ABCEFGH
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Consider a relation R = ABCDEFGH. Primary key AB and additional functi...
-> CDE, C -> FGH, DF -> A, GH -> E.

This relation R has a composite primary key AB, which means that the combination of attributes AB should uniquely identify each tuple in the relation. Additionally, there are four additional functional dependencies:

1. AB -> CDE: This means that for each unique combination of AB values, there is a unique set of CDE values associated with it.

2. C -> FGH: This means that for each unique value of C, there is a unique set of FGH values associated with it.

3. DF -> A: This means that for each unique combination of DF values, there is a unique value of A associated with it.

4. GH -> E: This means that for each unique combination of GH values, there is a unique value of E associated with it.

These functional dependencies indicate how the attributes in the relation are related to each other, and can be used to ensure data integrity and consistency in the database. For example, if a new tuple is inserted into the relation, the functional dependencies can be used to ensure that the values entered for each attribute are consistent with the dependencies specified.
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Community Answer
Consider a relation R = ABCDEFGH. Primary key AB and additional functi...
A table is said to be in 2NF if it is already in 1NF and should be free from partial functional dependencies.
Primary key: AB
Closure of A and B
A+ = AD
B+ = B
R1 = AD, R2 = ABCEFGH
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Consider a relation R = ABCDEFGH. Primary key AB and additional functional dependencies areAB →CEFGH, A →D, F →G, FB →H, HBC →ADEFG, FBC →ADC.What would be the relation after decomposing?(given FD into 2NF)a)ADEFG, BCHb)AB, ACDEFGHc)AD, ABCEFGHd)None of theseCorrect answer is option 'C'. Can you explain this answer?
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