WOLFRAM|DEMONSTRATIONS PROJECT

Modular Arithmetic Tables

​
modulus
16
addition
multiplication
⊕
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
0
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
1
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
0
2
2
3
4
5
6
7
8
9
10
11
12
13
14
15
0
1
3
3
4
5
6
7
8
9
10
11
12
13
14
15
0
1
2
4
4
5
6
7
8
9
10
11
12
13
14
15
0
1
2
3
5
5
6
7
8
9
10
11
12
13
14
15
0
1
2
3
4
6
6
7
8
9
10
11
12
13
14
15
0
1
2
3
4
5
7
7
8
9
10
11
12
13
14
15
0
1
2
3
4
5
6
8
8
9
10
11
12
13
14
15
0
1
2
3
4
5
6
7
9
9
10
11
12
13
14
15
0
1
2
3
4
5
6
7
8
10
10
11
12
13
14
15
0
1
2
3
4
5
6
7
8
9
11
11
12
13
14
15
0
1
2
3
4
5
6
7
8
9
10
12
12
13
14
15
0
1
2
3
4
5
6
7
8
9
10
11
13
13
14
15
0
1
2
3
4
5
6
7
8
9
10
11
12
14
14
15
0
1
2
3
4
5
6
7
8
9
10
11
12
13
15
15
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
Modular arithmetic tables are demonstrated for addition
a
⊕
n
b=a+b(modn
) and multiplication
a
⊗
n
b=a×b(modn)
for modulus
n
.