Question

In: Computer Science

Use the Extended Euclid's Algorithm to solve ƒ-1  for 8 mod 11

Use the Extended Euclid's Algorithm to solve ƒ-1  for 8 mod 11

Solutions

Expert Solution

In the given problem  F^-1 means we have to find the multiplicative inverse of 8 mod 11 also Ii have added a way out to check my answer in the last. I have solved the problem step by step using the euclid's algorithm in the most possible easiest way. Hope you like my answer and please kindly put a thumbs up if u like my work.Thank you very much.


Related Solutions

1. Use the Extended Euclid's Algorithm to solve ƒ-1 for 8 mod 11 2. Use the...
1. Use the Extended Euclid's Algorithm to solve ƒ-1 for 8 mod 11 2. Use the max function to calculate max3(x, y, z) if x = 2, y = 6, z = 5. Show your work!
1. Use backward substitution to solve: x=8 (mod 11) x=3 (mod 19)
  1. Use backward substitution to solve: x=8 (mod 11) x=3 (mod 19) 2. Fine the subgroup of Z24 (the operation is addition) generates by the element 20. 3. Find the order of the element 5 in (z/7z)
Use Recursive Algorithm to compute 5^23 Mod 8
Use Recursive Algorithm to compute 5^23 Mod 8
use algorithm modular exponentiation to find 11^644 mod 645
use algorithm modular exponentiation to find 11^644 mod 645
Use the Pohlig-Hellman algorithm to solve 19x ≡ 184 (mod 337) for x. Write out at...
Use the Pohlig-Hellman algorithm to solve 19x ≡ 184 (mod 337) for x. Write out at least one successive squaring in detail, and at least one instance of the Chinese Remainder Theorem.
a) Use Fermat’s little theorem to compute 52003 mod 7, 52003 mod 11, and 52003 mod 13.
  a) Use Fermat’s little theorem to compute 52003 mod 7,52003 mod 11, and 52003 mod 13. b) Use your results from part (a) and the Chinese remaindertheorem to find 52003 mod 1001. (Note that1001 = 7 ⋅ 11 ⋅ 13.)
Compute the following: (a) 13^2018 (mod 12) (b) 8^11111 (mod 9) (c) 7^256 (mod 11) (d)...
Compute the following: (a) 13^2018 (mod 12) (b) 8^11111 (mod 9) (c) 7^256 (mod 11) (d) 3^160 (mod 23)
Solve a system of equations: 1- 2x = 5 mod 15   3x = 1 mod 4...
Solve a system of equations: 1- 2x = 5 mod 15   3x = 1 mod 4 2- x = 5 mod 15 x = 2 mod 12 (Hint: Note that 15 and 12 are not relatively prime. Use the Chinese remainder theorem to split the last equation into equations modulo 4 and modulo 3)
compute 7^-1 mod 11? in details
compute 7^-1 mod 11? in details
We also discussed the use of the Extended Euclidian algorithm to calculate modular inverses. Use this...
We also discussed the use of the Extended Euclidian algorithm to calculate modular inverses. Use this algorithm to compute the following values. Show all of the steps involved. 9570-1(mod 12935) 550-1 (mod 1769)
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT