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DBMS/U4 Topic 4 Normal Forms NF2

For a table to be in the Second Normal Form, it must satisfy two conditions:

  1. The table should be in the First Normal Form.
  2. There should be no Partial Dependency.

What is Partial Dependency? Do not worry about it. First let’s understand what is Dependency in a table?

What is Dependency?

Let’s take an example of a Student table with columns student_id, name, reg_no(registration number), branch and address(student’s home address).

student_id name reg_no branch address

In this table, student_id is the primary key and will be unique for every row, hence we can use student_id to fetch any row of data from this table

Even for a case, where student names are same, if we know the student_id we can easily fetch the correct record.

student_id name reg_no branch address
10 Akon 07-WY CSE Kerala
11 Akon 08-WY IT Gujarat

Hence we can say a Primary Key for a table is the column or a group of columns(composite key) which can uniquely identify each record in the table.

I can ask from branch name of student with student_id 10, and I can get it. Similarly, if I ask for name of student with student_id 10 or 11, I will get it. So all I need is student_id and every other column depends on it, or can be fetched using it.

This is Dependency and we also call it Functional Dependency.

What is Partial Dependency?

Now that we know what dependency is, we are in a better state to understand what partial dependency is.

For a simple table like Student, a single column like student_id can uniquely identfy all the records in a table.

But this is not true all the time. So now let’s extend our example to see if more than 1 column together can act as a primary key.

Let’s create another table for Subject, which will have subject_id and subject_name fields and subject_id will be the primary key.

subject_id subject_name
1 Java
2 C++
3 Php

Now we have a Student table with student information and another table Subject for storing subject information.

Let’s create another table Score, to store the marks obtained by students in the respective subjects. We will also be saving name of the teacher who teaches that subject along with marks.

score_id student_id subject_id marks teacher
1 10 1 70 Java Teacher
2 10 2 75 C++ Teacher
3 11 1 80 Java Teacher

In the score table we are saving the student_id to know which student’s marks are these and subject_id to know for which subject the marks are for.

Together, student_id + subject_id forms a Candidate Key (learn about Database Keys) for this table, which can be the Primary key.

Confused, How this combination can be a primary key?

See, if I ask you to get me marks of student with student_id 10, can you get it from this table? No, because you don’t know for which subject. And if I give you subject_id, you would not know for which student. Hence we need student_id + subject_id to uniquely identify any row.

But where is Partial Dependency?

Now if you look at the Score table, we have a column names teacher which is only dependent on the subject, for Java it’s Java Teacher and for C++ it’s C++ Teacher & so on.

Now as we just discussed that the primary key for this table is a composition of two columns which is student_id & subject_id but the teacher’s name only depends on subject, hence the subject_id, and has nothing to do with student_id.

This is Partial Dependency, where an attribute in a table depends on only a part of the primary key and not on the whole key.

How to remove Partial Dependency?

There can be many different solutions for this, but out objective is to remove teacher’s name from Score table.

The simplest solution is to remove columns teacher from Score table and add it to the Subject table. Hence, the Subject table will become:

subject_id subject_name teacher
1 Java Java Teacher
2 C++ C++ Teacher
3 Php Php Teacher

And our Score table is now in the second normal form, with no partial dependency.

score_id student_id subject_id marks
1 10 1 70
2 10 2 75
3 11 1 80


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