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o Exercise 1: Numbers operations with recursive functions (6 marks) Exercise Objectives Identifying the base case(s) and recursive step used to understand/write a recursive function

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o Exercise 1: Numbers operations with recursive functions (6 marks) Exercise Objectives Identifying the base case(s) and recursive step used to understand/write a recursive function Implementing and calling recursive function Problem Description Open replit.com IDE, create a new repl (project) and name it Lab10Ex1". Use this project to write and run a C program that performs the following: Declare the following functions as prototype and implement them after the main function * DigitsCount(), a recursive function that receives an integer number num, and returns the number of its digits. (Hint: You can use a static variable to store count] * ReverseNumber(), a recursive function that receives an integer number num, and returns its reverse value. (Hint: You can use a static variable to store the result of reversing] * GCD(), a recursive function that receives two integer numbers num1 and num2, and returns the GCD. (Hint: Greatest Common Divisor (GCD) or High Common Factor (HCF) of two or more integers, is the largest positive integer that divides each of the integers] GCD or HCF of two numbers in C 24 - 2 x 2 x 2 x 3 30 - 2 x 3 x 5 GCD Multiplication of common factors = 2 x 3 = 6 . In the main function declare two positive integers: num1 and num2, and prompt the user to read both of them, then call the functions declared above as follows: * Find the number of digits for numi * Test if num1 is palindrome number or no by comparing num1 with its reverse (you need to call ReverseNum() for num1.] Find the GCD(num1, num2), by calling the specified function Sample Output Please enter the First number 2552 Please enter the Second 48 The number of digits for 2552 is 4 The reverse of 2552 is 2552 2552 is a Palindrome number GCD (2552, 48) is 8 Please enter the First number 152 Please enter the Second number 12 The number of digits for 152 is 3 The reverse of 152 is 251 152 is not a Palindrome number GCD (152, 12) is 4

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