Modular Arithmetic Addition and Subtraction Modulus 9 0 mod 9 = 0 - - PowerPoint PPT Presentation

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Mar 19, 2024 127 likes •215 views

Modular Arithmetic Addition and Subtraction Modulus 9 0 mod 9 = 0 9 mod 9 = 0 1 mod 9 = 1 10 mod 9 = 1 0 2 mod 9 = 2 11 mod 9 = 2 8 1 3 mod 9 = 3 12 mod 9 = 3 7 2 4 mod 9 = 4 13 mod 9 = 4 5 mod 9 = 5 14 mod 9 = 5 6 3 6 mod 9 =

SLIDE 1

Modular Arithmetic

Addition and Subtraction

SLIDE 2

Modulus 9

0 mod 9 = 0 1 mod 9 = 1 2 mod 9 = 2 3 mod 9 = 3 4 mod 9 = 4 5 mod 9 = 5 6 mod 9 = 6 7 mod 9 = 7 8 mod 9 = 8 1 2 3 5 6 8 7 4 9 mod 9 = 0 10 mod 9 = 1 11 mod 9 = 2 12 mod 9 = 3 13 mod 9 = 4 14 mod 9 = 5 15 mod 9 = 6 16 mod 9 = 7 17 mod 9 = 8

SLIDE 3

Modulus 9

18 mod 9 = 0 19 mod 9 = 1 20 mod 9 = 2 21 mod 9 = 3 22 mod 9 = 4 23 mod 9 = 5 24 mod 9 = 6 25 mod 9 = 7 26 mod 9 = 8 27 mod 9 = 0 28 mod 9 = 1 29 mod 9 = 2 30 mod 9 = 3 31 mod 9 = 4 32 mod 9 = 5 33 mod 9 = 6 34 mod 9 = 7 35 mod 9 = 8 1 2 3 5 6 8 7 4

SLIDE 4

Modulus 9

9 mod 9 = 0
8 mod 9 = 1
7 mod 9 = 2
6 mod 9 = 3
5 mod 9 = 4
4 mod 9 = 5
3 mod 9 = 6
2 mod 9 = 7
1 mod 9 = 8

1 2 3 5 6 8 7 4

SLIDE 5

Modulus 9

(0 + 1) mod 9 = 1 (1 + 5) mod 9 = 6 (8 + 3) mod 9 = 11 mod 9 = 2 (15 + 13) mod 9 = 28 mod 9 = 1 = 15 mod 9 + 13 mod 9 = (6 + 4) mod 9 = 10 mod 9 = 1 1 2 3 5 6 8 7 4

SLIDE 6

Modulus 9

(7 - 2) mod 9 = 5 (16 - 5) mod 9 = 11 mod 9 = 2 = 16 mod 9 - 5 mod 9 = (7 - 5) mod 9 = 2 1 2 3 5 6 8 7 4

SLIDE 7

Modulus 4

0 mod 4 = 0 1 mod 4 = 1 2 mod 4 = 2 3 mod 4 = 3 4 mod 4 = 0 5 mod 4 = 1 12 mod 4 = 0 13 mod 4 = 1 1 2 3

SLIDE 8

Modulus 6

0 mod 6 = 0 1 mod 6 = 1 2 mod 6 = 2 3 mod 6 = 3 4 mod 6 = 4 5 mod 6 = 5 6 mod 6 = 0 7 mod 6 = 1 8 mod 6 = 2 1 2 3 5 4