In our last post, we talked about first normal form. Now, we continue this discussion, talking about second normal form or 2NF.

### Requirements for Second Normal Form

A table satisfies second normal form if:

• the table satisfies the requirements for first normal form, and
• all non-key columns depend only on the primary key.

The first requirement should make sense. But what about the second requirement? What does this mean in more plain English? There are two interpretations.

1. If the primary key changes (i.e. the row changes), it is expected that the data should change.
2. A non-primary key column does not depend on a column that is not the primary key column.

Suppose we go back to our table of books.

book_key title check_out_date check_in_date
1 Harry Potter and the Sorcerer’s Stone 2017-11-02 15:33:20 2017-11-24 08:09:43
2 Jane Eyre null null
3 Island of the Blue Dolphins 2017-07-15 10:13:52 null
4 Curious George Goes Camping 2017-03-14 9:05:10 2017-04-01 10:12:33

We also have an ISBN table. We know that ISBNs are assigned by publisher. Let’s add a publisher column.

book_key isbn publisher
1 0439708184 Scholastic
1 1408883759 Bloomsbury
1 1408883767 Bloomsbury
2 1542047579 AmazonClassics
2 0141441143 Penguin Classics
3 0545289599 HMH Books
4 0395978351 HMH Books

Looks good, right? We know that Publisher does not belong on the books table, because different publishers will have different ISBN values, even for the same book. However, we still have a problem: the ISBN depends on the publisher. Publishers are assigned ranges of ISBN numbers. Depending on the size of the publisher, publishers may be assigned anyway from ten to hundreds of thousands of ISBN values.

Knowing more about the domain, this table does not satisfy 2NF. Instead, this table should be broken into two different tables. We need a publisher table, and the publisher_key needs to be part of key for this table.

publisher_key publisher_name
1 Scholastic
2 Bloomsbury
3 AmazonClassics
4 Penguin Classics
5 HMH Books

Our ISBN table should be redefined to now include the publisher_key.

book_key publisher_key isbn
1 1 0439708184
1 2 1408883759
1 2 1408883767
2 3 1542047579
2 4 0141441143
3 5 0545289599
4 5 0395978351

Additionally, let’s add a unique key on ISBN.

So there you go. Take a look at your tables. If you find two columns, and one of those columns depends on the other — if one column changes then the other column would also be forced to change — then you have a second normal form violation!