8. Create a recursive function intToBin(n) that takes a non-negative integer and returns a string of its binary digits. For example, intToBin(6) returns '110'. Hint: implement two base cases: n == 0 and n == 1: as they cover the situations when n has only one binary digit.
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- Write a recursive function that displays a string reversely on the console using the following header: def reverseDisplay(value):For example, reverseDisplay("abcd") displays dcba. Write a test programthat prompts the user to enter a string and displays its reversal.Write a recursive function that displays a string reversely on the console using the following header: void reverseDisplay(const string& s) For example, reverseDisplay("abcd") displays dcba. Write a test program that prompts the user to enter a string and displays its reversal.1. Below, enter code to complete implementation of a recursive function sum allintegers(), which takes an input n and adds all integers preceding it, up to n: add all integers(n):
- 8. A country has coins of denomination 3, 5 and 10 respectively. Write a recursive function canchange() which returns -1 if it is not possible to pay a value of k using these coins. Otherwise, it returns the minimum number of coins needed to make the payment. For example, canchange(7) will return -1. On the other hand, canchange(14) will return 4 because 14 can be paid as 3+3+3+5 and there is no other way to pay with fewer coins Programming Language:- CFor function decToBinary, write the missing parts of the recursion case. This function should return a string that stores the binary equivalent for int variable num. Example: The binary equivalent of 13 may be found by repeatedly dividing 13 by 2. So, 13 in base 2 is represented by the string "1101". Examples: decToBinary(13) -> "1101" public String decToBinary (int num) { if (num < 2) return Integer.toString(num); else return <<Missing recursive call>> + <<Missing calculation>>;}8. A country has coins of denomination 3, 5 and 10 respectively. Write a recursive function canchange() which returns -1 if it is not possible to pay a value of k using these coins. Otherwise, it returns the minimum number of coins needed to make the payment. For example, canchange(7) will return -1. On the other hand, canchange(14) will return 4 because 14 can be paid as 3+3+3+5 and there is no other way to pay with fewer coins
- Write a recursive function PrintPattern2 that receives two arguments: (i) a character ch; (ii) number of lines and print the pattern.Example:PrintPattern2('*',5) will print the following patternWrite a recursive function to return the number of uppercase letters in a list of characters. You need to define the following two functions. The second one is a recursive helper function.def count(chars):def countHelper(chars, high):Write a test program that prompts the user to enter a list of characters in one line and displays the number of uppercase letters in the list.Write a recursive function that accepts a number and returns its factorial. b. Write a recursive function that accepts an array, its size and the index of the initial element as arguments. The function fills the array with the elements of the following sequence: n1 = 3, nk+1 = nk+35 c. Write an iterative and a recursive versions of the binary search. In C++ coding
- Write a recursive function that converts a decimal number into a binary number as a string. The function header is: string decimalToBinary(int value) Write a test program that prompts the user to enter a decimal number and dis- plays its binary equivalent.A palindrome is a string that’s spelled the same way forward and backward. Examples of palindromes include “radar” and “able was i ere i saw elba.” Write a recursive function testPalindrome that returns true if a string is a palindrome, and false otherwise. Note that like an array , the square brackets ( [] ) operator can be used to iteratethrough the characters in a string .1. Write a recursive function that takes as a parameter a nonnegative integer and generates the following pattern of stars. If the nonnegative integer is 4, then the pattern generated is:********************Also, write a program that prompts the user to enter the number of lines in the pattern and uses the recursive function to generate the pattern. For example, specifying 4 as the number of lines generates the above pattern. 2. A palindrome is a string that reads the same both forward and backward. For example, the string "madam" is a palindrome. Write a program that uses a recursive function to check whether a string is a palindrome. Your program must contain a value-returning recursive function that returns true if the string is a palindrome and false otherwise. Do not use any global variables; use the appropriate parameter.