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NotesComputer Science HLTopic 3.2Normal forms
Back to Computer Science HL Topics
3.2.54 min read

Normal forms (Computer Science HL)

IB Computer Science · Unit 3

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Contents

  1. 1Storing each fact exactly once
  2. 2The three forms
  3. 3What normalisation prevents
  4. 4Exam-style question
The big idea: Normalisation rearranges tables so every fact is stored in exactly one place.

A fact stored twice can end up with two different values. A fact stored once cannot.
The word that runs through all of it: A functional dependency means one column's value determines another's.

Know a StudentID and you know the student's name: Name depends on StudentID. Normal forms are rules about which dependencies are allowed where.

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One school table taken from unnormalised to 3NF, with the rule and the problem named at each step.

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1

1NF — atomicity

Every cell holds one value, and every row is uniquely identified.

No lists in cells and no repeating groups of columns. A Clubs cell reading "Chess, Debate" becomes two rows.

2

2NF — no partial-key dependencies

In 1NF and every non-key column depends on the whole primary key, not part of it.

Only matters when the key is composite. StudentName depended on StudentID alone, which is half the key, so it moves to its own table.

3

3NF — no transitive dependencies

In 2NF and no non-key column determines another non-key column.

Club determined Teacher, and Teacher determined Room. Room depends on Club only indirectly — so Teacher and Room move to their own table.

A one-line test for each: 1NF — is any cell holding a list? 2NF — does anything depend on only part of a composite key? 3NF — does any non-key column depend on another non-key column?

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Update problems

  • A teacher's room is written on every row they appear on
  • Change it and you must find every copy
  • Miss one and the database contradicts itself

Insert problems

  • A new club with no members yet has nowhere to live
  • You cannot record a club without inventing a fake student
  • Missing data where the design forces it

Delete problems

  • Remove the last student in a club
  • The club's teacher and room disappear with them
  • Data lost that nobody meant to delete
Why these three are the argument: "It saves space" is the weakest reason and rarely worth a mark.

The real case is that an unnormalised table makes it possible to be wrong — and a normalised one does not.
Multi-valued dependencies: A multi-valued dependency appears when one key has two independent lists stored in the same table — a student's sports and, separately, the languages they speak.

Every sport has to be paired with every language, so the table fills with repeated rows. The fix is the usual one: give each independent list its own table.

How this is tested — you must name the form, state its rule, and identify the offending dependency. It comes up two ways:

Paper 1 Section A

  • Explain the difference between normal forms, 3-5 marks
  • State which form a given table is in, and why
  • Define a named dependency

Paper 1 Section B — case study

  • Assess the case study's table design
  • Explain the problems its current shape causes
The classic trap: Saying a table "is not in 3NF" without naming which dependency breaks it. The mark is for identifying the offending columns: Teacher determines Room, and neither is a key.
IB-style questionExplain[5 marks]

A table stores OrderID, ProductID, Quantity, ProductName and SupplierAddress, keyed on OrderID and ProductID. Explain which normal forms it breaks.

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which normal form a table is in if it holds atomic values, has a single-column primary key, and contains a field depending on another non-key field. [2 marks]

Related Computer Science HL Topics

Continue learning with these related topics from the same unit:

3.1.1Relational databases3.2.1Database schemas3.2.2ERDs3.2.3Data types
View all Computer Science HL topics
Improve your exam techniqueCommand terms, paper structure, and mark-scheme tips for Computer Science HL
Previous3.2.4Building tablesNextNormalising to 3NF3.2.6

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