Mod 12, and Mod 26 How about some by yourself? Grab a calculator Modular Math (cc) photo by Metro Centric on Flickr (cc) photo by Franco Folini on Flickr (cc) photo by jimmyharris on Flickr (cc) photo by Metro Centric on Flickr Mod 12 is used for clocks. Mod 26 is mostly used for the alphabet. Steps for Modular Math: 1. Divide the number you are given by the "Mod".

2. Subtract the whole number from the decimal

3. Multiply the remaining decimal by the "Mod".

4. (Then you get your get your answer, which should be a whole number.) Mod 12 example: 1. 15 mod 12 1. 15 mod 12

15/12=1.25

1.25-1=.25

.25(12)=3 Let's see if you did them right! 3. 100 mod 26

100/26=3.846153

3.846153-3=.846153

.846153(26)=22 Continued. . . Discrete Math: Check Digits Let's do one together! What is "15 mod 12"? 1. Divide 15 by 12.

(You should get 1.25) 2. Subtract 1 from 1.25.

(You should get .25) 3. Multiply .25 and 12.

(You should get 3) 2. 37 mod 12 3. 30 mod 26 4. 57 mod 26 Do the same exact steps for mod 26, that you use for mod 12. 2. 37 mod 12

37/12=3.083

3.083-3=.083

.083(12)=1 4. 57 mod 26

57/26=2.19230769

2.19230769-2=.19230769

.19230769(26)=5 You just did "Modular Math".

CONGRATULATIONS! By: Brittany Daniel(:

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# Modular Math: Brittany

Discrete Math: Check Digits

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