#### Topic Content:

- Steps in Constructing Modular Arithmetic Addition Table

### Step 1:

Define the Set in the Given Modulus.

Set of values used in:

- mod 2 are {0, 1}
- mod 3 are {0, 1, 2}
- mod 4 are {0, 1, 2, 3}
- mod 5 are {0, 1, 2, 3, 4}
- mod 6 are {0, 1, 2, 3, 4, 5}.

### Step 2:

Using the defined set, construct the table.

**Example:** Draw an Addition Table for mod 5

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

The table will contain six rows and six columns. This is made up of the five values used (0, 1, 2, 3, 4} 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.

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