Modular Arithmetic - Find the class representaives in Z26 for the following: -1000 -30 -1 15 2001 2938293229302932398231
Modular Arithmetic - Find the class representaives in Z26 for the following: -1000 -30 -1 15 2001 2938293229302932398231
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Modular Arithmetic -
Find the class representaives in Z26 for the following:
- -1000
- -30
- -1
- 15
- 2001
- 2938293229302932398231
Expert Solution
Step 1
For any number n, the representative in Z26 is (n mod 26)
So, representative for -1000 is = -1000 mod 26
= 14
representative for -30 is = -30 mod 26
= 22
representative for -1 is = -1 mod 26
= 25
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