Steps in Constructing Modular Arithmetic Multiplication Tables

Example: Draw a Multiplication Table for mod 6

Step 1:

Define the Set in the Given Modulus.

Set of values used in mod 6 are {0, 1, 2, 3, 4, 5}.

Step 2:

Using the defined set, construct the table.

Set of values used in mod 6 are {0, 1, 2, 3, 4, 5}

The table will contain seven rows and seven columns. This is made up of the six values used (0, 1, 2, 3, 4, 5} and the sign of the operation we are going to perform.

When constructing an addition table use this sign: ⊗

Place the sign in the first cell and the set of values in the remaining cells (on the first row and first column) as shown below.

Step 3:

Fill out the table, by performing the operation in the given modulus.