solve question 7 pleaseeee Directions:Implement the following in C++ and show the output of your code for at least two instances of the problem (Allexamples come from "1.1 Introduction - Part II")1- Name: Prime, Input: n (an integer number), Output: Prime or not prime2- Name: SumOfNumbers, Input: n (positive integer), Output: sum (sum of all positive integers from 1 to n)3- Name: ConvertPoundToKg, Input: weight-in-pounds (weight in pound), Output: weight-in-Kg (weight inKg)4- Name: FindMinInArray, Input: T (a sequence of n numbers T[1], T[2], .., T[n]), Output: min (thesmallest number among them)5- Name: SumDigits, Input: N (Two digit number), Output: sum (the sum of digits of N)6- Name: GreatestCommonDivisor (simple, iterative algorithm), Input: x, y (two natural numbers), Output:w (Greatest Common Divisor of x and y)7- Name: EuclidGreatestCommonDivisor (Euclid's algorithm, do not use the recursive version), Input: x, y(two natural numbers), Output: w (Greatest Common Divisor of x and y)Trace your greatest common divisor programs for 5 iterations (problems 6 and 7), you can hand trace the code orsimply output the values from your code.Compare the performance of the algorithms you used in problems 6 and 7.Give an alternative algorithm for the primality test you implemented above (problem 1), describe your alternativealgorithm (you can use code or pseudocode), and compare the performance of the two algorithms.

Answered: Image /qna-images/answer/6681ce13-4bec-42e7-a451-ab7a2a81d442.jpg

Answered: 7- Name: EuclidGreatestCommonDivisor…

7- Name: EuclidGreatestCommonDivisor (Euclid's algorithm, do not use the recursive version), Input: x, y (two natural numbers), Output: w (Greatest Common Divisor of x and y)

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter15: Recursion

Section: Chapter Questions

Problem 8SA

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Concept explainers

Computational Systems

The computation systems can be defined as the systems that are capable of solving a problem that includes calculations either mathematical or logical, and are able to produce the result as an output. For example, a simple calculator that is given a set of numbers and operators as input and produces the result as an output can be defined as a computational system. The above example is a simple illustration only, the computational systems range from simple devices to complex devices such as the systems that control the SpaceX companies, Starlink satellites which are being quite recently seen in the skies at many places globally.

Question

solve question 7 pleaseeee

Directions:
Implement the following in C++ and show the output of your code for at least two instances of the problem (All
examples come from "1.1 Introduction - Part II")
1- Name: Prime, Input: n (an integer number), Output: Prime or not prime
2- Name: SumOfNumbers, Input: n (positive integer), Output: sum (sum of all positive integers from 1 to n)
3- Name: ConvertPoundToKg, Input: weight-in-pounds (weight in pound), Output: weight-in-Kg (weight in
Kg)
4- Name: FindMinInArray, Input: T (a sequence of n numbers T[1], T[2], .., T[n]), Output: min (the
smallest number among them)
5- Name: SumDigits, Input: N (Two digit number), Output: sum (the sum of digits of N)
6- Name: GreatestCommonDivisor (simple, iterative algorithm), Input: x, y (two natural numbers), Output:
w (Greatest Common Divisor of x and y)
7- Name: EuclidGreatestCommonDivisor (Euclid's algorithm, do not use the recursive version), Input: x, y
(two natural numbers), Output: w (Greatest Common Divisor of x and y)
Trace your greatest common divisor programs for 5 iterations (problems 6 and 7), you can hand trace the code or
simply output the values from your code.
Compare the performance of the algorithms you used in problems 6 and 7.
Give an alternative algorithm for the primality test you implemented above (problem 1), describe your alternative
algorithm (you can use code or pseudocode), and compare the performance of the two algorithms.

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