in problems 1 - 4 you are given the columns of a

Question

In problems 1 - 4, you are given the columns of a table, and a set of functional dependencies.  Determine the normal form of this table.  Remember that the normal form is the HIGHEST normal form for the table (e.g. if a table is in both 1^st NF and 2^nd NF, then what you report is 2^nd NF).  Always start by identifying the candidate keys.

1. What is the highest normal form of the table with columns
                                    A B C D E
            and the following functional dependencies?

A → B

B → A C D E

2.   What is the highest normal form of the table with columns
                        M N O P Q R S T
            and the following functional dependencies?

N → O

P → M N Q R

Q→S T

3.  What is the highest normal form of the table with columns
                        A B C D E F G
            and the following functional dependencies?

A E → D

D → C G

E → B F

4.   What is the highest normal form of the table with columns
                        A B C D E F G H
            and the following functional dependencies?

A → H

B → A C D E F