How to do division in modulus mode ?

  • Context: Undergrad 
  • Thread starter Thread starter mohamed el teir
  • Start date Start date
  • Tags Tags
    Division Mode Modulus
Click For Summary
SUMMARY

The discussion centers on performing division in modulus mode, specifically calculating 100,539 divided by 2 under modulo 1,000,007. The established method for this calculation is the (extended) Euclidean algorithm, which provides a systematic approach to handle division in modular arithmetic. This technique is essential for accurately determining results in modular systems.

PREREQUISITES
  • Understanding of modular arithmetic
  • Familiarity with the (extended) Euclidean algorithm
  • Basic knowledge of division operations
  • Concept of modular inverse
NEXT STEPS
  • Study the (extended) Euclidean algorithm in detail
  • Learn how to compute modular inverses
  • Explore applications of modular arithmetic in cryptography
  • Practice solving modular division problems
USEFUL FOR

Mathematicians, computer scientists, and software developers interested in modular arithmetic and its applications in algorithms and cryptography.

mohamed el teir
Messages
88
Reaction score
1
for example 100,539/2 in mod 1,000,007. is there a systematic procedure to calculate this ??
 
Mathematics news on Phys.org
mohamed el teir said:
for example 100,539/2 in mod 1,000,007. is there a systematic procedure to calculate this ??
Yes. The (extended) Euclidean algorithm.
 
  • Like
Likes   Reactions: mfb

Similar threads

  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 7 ·
Replies
7
Views
4K
  • · Replies 7 ·
Replies
7
Views
42K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 17 ·
Replies
17
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K