(a) 8 (mod 3) (mod 3) = (b) 7 (mod 5) (mod 5) = (c) 3 (mod 4) (mod 4) = || = 11 12 (mod 3) 23 (mod 5) = 10 (mod 4) = 8 +12 7+23 3.10

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Modular Arithmetic (UPVOTE WILL BE GIVEN. PLEASE WRITE THE COMPLETE SOLUTIONS. NO LONG EXPLANATION NEEDED. BOX THE FINAL ANSWERS)

EVALUATE THE EXPRESSIONS IN EACH OF THE FOLLOWING TRIPLES:

 

(a) 8 (mod 3)
(mod 3) =
(b) 7 (mod 5)
(mod 5) =
(c) 3 (mod 4)
(mod 4)
=
||
=
(d) 16 (mod 10)
(mod 10) =
What conclusions can you draw?
12 (mod 3)
23 (mod 5)
10 (mod 4)
11 (mod 10)
=
=
=
8 +12
7+23
3.10
16 11
Transcribed Image Text:(a) 8 (mod 3) (mod 3) = (b) 7 (mod 5) (mod 5) = (c) 3 (mod 4) (mod 4) = || = (d) 16 (mod 10) (mod 10) = What conclusions can you draw? 12 (mod 3) 23 (mod 5) 10 (mod 4) 11 (mod 10) = = = 8 +12 7+23 3.10 16 11
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