Question

Write a Mathematica procedure implementing the Extended Euclidean Algorithm. Show that this works by displaying various applications of your procedure with explicit numbers.

Answer #1

use the Extended Euclidean algorithm (EEA) to write the gcd of
4883 and 4369 as their linear combination

By hand, use the Extended Euclidean algorithm (EEA) to write
the gcd of 4883 and 4369 as their combination.

Use the Euclidean algorithm to find GCD(221, 85). Draw the Hasse
diagram displaying all divisibilities among the numbers 1, 85, 221,
GCD(85, 221), LCM(85, 221), and 85 × 221.
- Now I already found the gcd and the lcm but I forgot how to
draw the hasse diagram
GCD = 17 and LCM =1105

Q1. Using Euclideanalgorithm find GCD(21, 1500). Show you
work
.Q2. Using Extended Euclidean algorithm find the multiplicative
inverse of 8 in mod 45 domain .Show your work including the
table.
Q3. Determine φ(2200). (Note that 1,2,3,5, 7, ... etc.are the
primes). Show your work.
Q4. Find the multiplicative inverse of 14 in GF(31) domain using
Fermat’s little theorem. Show your work
Q5. Using Euler’s theorem to find the following exponential:
4200mod 27. Show how you have employed Euler’s theorem here

By the Euclidean
algorithm to find gcd(279174, 399399) and gcd(144, 233). Again you
will want a calculator for the divisions, but show your work. How
many steps (applications of the theorem) does each calculation
require?

Using Windows 32 framework , write an assembly
language program;
Write a recursive procedure to find the greatest
common divisor of
two non negative numbers. You should use Euclidean algorithm and
this is typically
discussed in CSC 230. Your procedure:
❼ Needs to follow cdecl protocol.
❼ Needs to take two parameters.
❼ Should return -1, if the parameters are negative.
❼ Should return gcd, if the parameters are non negative.
Your main procedure should do the followings.
❼ Read...

Company: PepsiCo
1. Write
various promotional strategies used by the PepsiCo in
implementing an Integrated Marketing Strategy.
2. Design
an effective and creative marketing communication (print
advertisement) of your own, for any one of its products for the
chosen target market.

1. Write gcd(672, 184) as an integer linear combination of 672
and 184. Show all steps
2. Find integers x, y such that 672x + 184y = 72. [Hint: use
your answer to Problem 1.]
Use the Euclidean Algorithm to find gcd(672, 184). Show all
steps

Explain the complete HAZOP procedure as followed in the
industry. See summary below.
Explain all the main parts of HAZOP study in details
given in the Pdf file including:
1. Overview (including definitions and
usage)
2. Hazop methodology (including phases like definition,
preparation, examination, documentation and follow-up). Give
examples also
3. Risk review
4. Risk communication
Guidance: Study the procedure carefully and then write the
answers in your own words.
Hazard &
Operability Analysis (HAZOP)
1 Overview: Hazard and Operability...

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