Any database for example is fine.
Normalization :
Here are the most commonly used normal forms:
First normal form(1NF)
Second normal form(2NF)
Third normal form(3NF)
First normal form (1NF) :
As per the rule of first normal form, an attribute (column) of a table cannot hold multiple values. It should hold only atomic values.
Example: Suppose a company wants to store the names and contact details of its employees. It creates a table that looks like this:
emp_id |
emp_name |
emp_address |
emp_mobile |
101 |
Herschel |
New Delhi |
8912312390 |
102 |
Jon |
Kanpur |
8812121212 9900012222 |
103 |
Ron |
Chennai |
7778881212 |
104 |
Lester |
Bangalore |
9990000123 8123450987 |
Two employees (Jon & Lester) are having two mobile numbers so the company stored them in the same field as you can see in the table above.
This table is not in 1NF as the rule says “each attribute of a table must have atomic (single) values”, the emp_mobile values for employees Jon & Lester violates that rule.
To make the table complies with 1NF we should have the data like this:
emp_id |
emp_name |
emp_address |
emp_mobile |
101 |
Herschel |
New Delhi |
8912312390 |
102 |
Jon |
Kanpur |
8812121212 |
102 |
Jon |
Kanpur |
9900012222 |
103 |
Ron |
Chennai |
7778881212 |
104 |
Lester |
Bangalore |
9990000123 |
104 |
Lester |
Bangalore |
8123450987 |
Second normal form (2NF) :
A table is said to be in 2NF if both the following conditions hold:
Table is in 1NF (First normal form)
No non-prime attribute is dependent on the proper subset of any candidate key of table.
An attribute that is not part of any candidate key is known as non-prime attribute.
Example: Suppose a school wants to store the data of teachers and the subjects they teach. They create a table that looks like this: Since a teacher can teach more than one subjects, the table can have multiple rows for a same teacher.
teacher_id |
subject |
teacher_age |
111 |
Maths |
38 |
111 |
Physics |
38 |
222 |
Biology |
38 |
333 |
Physics |
40 |
333 |
Chemistry |
40 |
CandidateKeys:{teacher_id,subject}
Non prime attribute: teacher_age
The table is in 1 NF because each attribute has atomic values. However, it is not in 2NF because non prime attribute teacher_age is dependent on teacher_id alone which is a proper subset of candidate key. This violates the rule for 2NF as the rule says “no non-prime attribute is dependent on the proper subset of any candidate key of the table”.
To make the table complies with 2NF we can break it in two tables like this:
teacher_details table:
teacher_id |
teacher_age |
111 |
38 |
222 |
38 |
333 |
40 |
teacher_subject table:
teacher_id |
subject |
111 |
Maths |
111 |
Physics |
222 |
Biology |
333 |
Physics |
333 |
Chemistry |
Now the tables comply with Second normal form (2NF).
Third Normal form (3NF) :
A table design is said to be in 3NF if both the following conditions hold:
Table must be in 2NF
Transitive functional dependency of non-prime attribute on any super key should be removed.
An attribute that is not part of any candidate key is known as non-prime attribute.
In other words 3NF can be explained like this: A table is in 3NF if it is in 2NF and for each functional dependency X-> Y at least one of the following conditions hold:
X is a super key of table
Y is a prime attribute of table
An attribute that is a part of one of the candidate keys is known as prime attribute.
Example: Suppose a company wants to store the complete address of each employee, they create a table named employee_details that looks like this:
emp_id |
emp_name |
emp_zip |
emp_state |
emp_city |
emp_district |
1001 |
John |
282005 |
UP |
Agra |
Dayal Bagh |
1002 |
Ajeet |
222008 |
TN |
Chennai |
M-City |
1006 |
Lora |
282007 |
TN |
Chennai |
Urrapakkam |
1101 |
Lilly |
292008 |
UK |
Pauri |
Bhagwan |
1201 |
Steve |
222999 |
MP |
Gwalior |
Ratan |
Super keys: {emp_id}, {emp_id,
emp_name}, {emp_id, emp_name, emp_zip}…so on
CandidateKeys:{emp_id}
Non-prime attributes: all attributes except emp_id are non-prime as
they are not part of any candidate keys.
Here, emp_state, emp_city & emp_district dependent on emp_zip. And, emp_zip is dependent on emp_id that makes non-prime attributes (emp_state, emp_city & emp_district) transitively dependent on super key (emp_id). This violates the rule of 3NF.
To make this table complies with 3NF we have to break the table into two tables to remove the transitive dependency:
employee table:
emp_id |
emp_name |
emp_zip |
1001 |
John |
282005 |
1002 |
Ajeet |
222008 |
1006 |
Lora |
282007 |
1101 |
Lilly |
292008 |
1201 |
Steve |
222999 |
employee_zip table:
emp_zip |
emp_state |
emp_city |
emp_district |
282005 |
UP |
Agra |
Dayal Bagh |
222008 |
TN |
Chennai |
M-City |
282007 |
TN |
Chennai |
Urrapakkam |
292008 |
UK |
Pauri |
Bhagwan |
222999 |
MP |
Gwalior |
Ratan |
Normalization :
Here are the most commonly used normal forms:
First normal form(1NF)
Second normal form(2NF)
Third normal form(3NF)
First normal form (1NF) :
As per the rule of first normal form, an attribute (column) of a table cannot hold multiple values. It should hold only atomic values.
Example: Suppose a company wants to store the names and contact details of its employees. It creates a table that looks like this:
emp_id |
emp_name |
emp_address |
emp_mobile |
101 |
Herschel |
New Delhi |
8912312390 |
102 |
Jon |
Kanpur |
8812121212 9900012222 |
103 |
Ron |
Chennai |
7778881212 |
104 |
Lester |
Bangalore |
9990000123 8123450987 |
Two employees (Jon & Lester) are having two mobile numbers so the company stored them in the same field as you can see in the table above.
This table is not in 1NF as the rule says “each attribute of a table must have atomic (single) values”, the emp_mobile values for employees Jon & Lester violates that rule.
To make the table complies with 1NF we should have the data like this:
emp_id |
emp_name |
emp_address |
emp_mobile |
101 |
Herschel |
New Delhi |
8912312390 |
102 |
Jon |
Kanpur |
8812121212 |
102 |
Jon |
Kanpur |
9900012222 |
103 |
Ron |
Chennai |
7778881212 |
104 |
Lester |
Bangalore |
9990000123 |
104 |
Lester |
Bangalore |
8123450987 |
Second normal form (2NF) :
A table is said to be in 2NF if both the following conditions hold:
Table is in 1NF (First normal form)
No non-prime attribute is dependent on the proper subset of any candidate key of table.
An attribute that is not part of any candidate key is known as non-prime attribute.
Example: Suppose a school wants to store the data of teachers and the subjects they teach. They create a table that looks like this: Since a teacher can teach more than one subjects, the table can have multiple rows for a same teacher.
teacher_id |
subject |
teacher_age |
111 |
Maths |
38 |
111 |
Physics |
38 |
222 |
Biology |
38 |
333 |
Physics |
40 |
333 |
Chemistry |
40 |
CandidateKeys:{teacher_id,subject}
Non prime attribute: teacher_age
The table is in 1 NF because each attribute has atomic values. However, it is not in 2NF because non prime attribute teacher_age is dependent on teacher_id alone which is a proper subset of candidate key. This violates the rule for 2NF as the rule says “no non-prime attribute is dependent on the proper subset of any candidate key of the table”.
To make the table complies with 2NF we can break it in two tables like this:
teacher_details table:
teacher_id |
teacher_age |
111 |
38 |
222 |
38 |
333 |
40 |
teacher_subject table:
teacher_id |
subject |
111 |
Maths |
111 |
Physics |
222 |
Biology |
333 |
Physics |
333 |
Chemistry |
Now the tables comply with Second normal form (2NF).
Third Normal form (3NF) :
A table design is said to be in 3NF if both the following conditions hold:
Table must be in 2NF
Transitive functional dependency of non-prime attribute on any super key should be removed.
An attribute that is not part of any candidate key is known as non-prime attribute.
In other words 3NF can be explained like this: A table is in 3NF if it is in 2NF and for each functional dependency X-> Y at least one of the following conditions hold:
X is a super key of table
Y is a prime attribute of table
An attribute that is a part of one of the candidate keys is known as prime attribute.
Example: Suppose a company wants to store the complete address of each employee, they create a table named employee_details that looks like this:
emp_id |
emp_name |
emp_zip |
emp_state |
emp_city |
emp_district |
1001 |
John |
282005 |
UP |
Agra |
Dayal Bagh |
1002 |
Ajeet |
222008 |
TN |
Chennai |
M-City |
1006 |
Lora |
282007 |
TN |
Chennai |
Urrapakkam |
1101 |
Lilly |
292008 |
UK |
Pauri |
Bhagwan |
1201 |
Steve |
222999 |
MP |
Gwalior |
Ratan |
Super keys: {emp_id}, {emp_id,
emp_name}, {emp_id, emp_name, emp_zip}…so on
CandidateKeys:{emp_id}
Non-prime attributes: all attributes except emp_id are non-prime as
they are not part of any candidate keys.
Here, emp_state, emp_city & emp_district dependent on emp_zip. And, emp_zip is dependent on emp_id that makes non-prime attributes (emp_state, emp_city & emp_district) transitively dependent on super key (emp_id). This violates the rule of 3NF.
To make this table complies with 3NF we have to break the table into two tables to remove the transitive dependency:
employee table:
emp_id |
emp_name |
emp_zip |
1001 |
John |
282005 |
1002 |
Ajeet |
222008 |
1006 |
Lora |
282007 |
1101 |
Lilly |
292008 |
1201 |
Steve |
222999 |
employee_zip table:
emp_zip |
emp_state |
emp_city |
emp_district |
282005 |
UP |
Agra |
Dayal Bagh |
222008 |
TN |
Chennai |
M-City |
282007 |
TN |
Chennai |
Urrapakkam |
292008 |
UK |
Pauri |
Bhagwan |
222999 |
MP |
Gwalior |
Ratan |
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