Write a function decimal_to_binary(decimal_number) that takes in a non-negative integer and returns it in binary as an integer representation. Solve this problem using recursion.
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Write a function decimal_to_binary(decimal_number) that takes in a non-negative integer and returns it in binary as an integer representation. Solve this problem using recursion. Use a helper function (with extra parameters) to handle the recursion.
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- Write a function decimal_to_binary(decimal_number) that takes in a non-negative integer and returns it in binary as an integer representation. Solve this problem using recursion. Use a helper function (with extra parameters) to handle the recursion. Examples decimal_to_binary(7) should return 111 decimal_to_binary(128) should return 10000000 decimal_to_binary(5) should return 101 Make sure your function signature matches the given function decimal_to_binary(decimal_number) because I will be using unit tests to evaluate your code. Return an integer representing the binary number from the function, not a string representation. PythonWrite a recursive function called draw_triangle() that outputs lines of '*' to form a right side up isosceles triangle. Function draw_triangle() has one parameter, an integer representing the base length of the triangle. Assume the base length is always odd and less than 20. Output 9 spaces before the first '*' on the first line for correct formatting. Hint: The number of '*' increases by 2 for every line drawn. Ex: If the input of the program is: 3 the function draw_triangle() outputs: * *** Ex: If the input of the program is: 19 the function draw_triangle() outputs: * *** ***** ******* ********* *********** ************* *************** ***************** ******************* Note: No space is output before the first '*' on the last line when the base length is 19. if __name__ == '__main__': base_length = int(input()) draw_triangle(base_length)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 takes as a parameter a nonnegative integer and generates the following pattern of stars. If the nonnegative integer is 4, the pattern generated is as follows: **** *** ** * * ** *** **** 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 preceding pattern.Write a function which takes two integer parameters for values to be added together and returns the result by value. The function may not print anything or read anything directly from the user (i.e. no cin/cout in the function). Assume that the values passed to the function will not be negative, but could be 0 or positive, and will both be integers. The function must implement addition recursively, and cannot use the standalone + operator (only ++) or call any other functions.Below,enter code to complete implementation of a recursive function sum_all_integers(), which takes an input n and adds all intergers preceding it, up to n: add_all_integers(n):
- 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.Fibonacci numbers are a sequence of integers, starting with 1, where the value of each number is the sum of the two previous numbers, e.g. 1, 1, 2, 3, 5, 8, etc. Write a function called fibonacci that takes a parameter, n, which contains an integer value, and have it return the nth Fibonacci number. (There are two ways to do this: one with recursion, and one without.)Write a recursive function myfactorial (n) for computing the factorial of a non-negative integer. (Hint: think about adapting the examples myfunction and anotherfunction in Chapter 1.) If an input other than a non-negative integer is entered into your function myfactorial, the process will never halt. Create a new function safefactorial which behaves identically to myfactorial on non-negative integers, but raises a ValueError when other values are entered. Use safefactorial to write a function mybinom (n,r) that re- turns the binomial coefficient ("). Use mybinom (n,r) to write a function hockeystick (n,r) that n H(n,r) = [ (c.). i=r computes H(n,r)
- write a recursive version. The function takes two string parameters, s1 and s2 and returns the starting index of s2 inside the first string s1, or -1 if s2 is not found in s1. You must not use any loops; you also cannot use the string member functions find or rfind. You may use the member functions size, at and substr. Your function must be recursive.Write a recursive function called that takes a string of single names separated by spaces and prints out all possible combinations (permutations), each combination on a new line. When the input is: Alice Bob Charlie then the output is: Alice Bob Charlie Alice Charlie Bob Bob Alice Charlie Bob Charlie Alice Charlie Alice Bob Charlie Bob Alice Here is my original code that needs to be fixed: def all_permutations(permList, nameList): # TODO: Implement method to create and output all permutations of the list of names. if nameList == len(permList) - 1: return nameList else: for x in range(permList, len(nameList)): permList[nameList], permList[x] = permList[x], permList[name_List] return all_permutations(permList, nameList + 1) permList[nameList], permList[x] = permList[x], permList[name_List] if __name__ == "main": nameList = input().split(' ') permList = [] all_permutations(permList, nameList)Part I Implement the Fibonnaci SequenceOne of this week’s quiz questions referred to the Fibonnaci sequence. This sequence of numbers is definedsuch that the nth number of the sequence is simply the sum of the two previous numbers in the sequence. Informal terms, Fn = Fn1 + Fn2, where Fnis the nth Fibonnaci number. Write a function in recursion.py, calledfibonnaci, which will accept one integer parameter (lets call it n) and returns the nth element of the Fibonnacisequence.Part II Implement Euclid’s GCD AlgorithmThe greatest common divisor, or GCD, of two integers is the largest number that divides both of them withno remainder. Euclid’s algorithm is one method to find the GCD of two numbers. Mathematically, we knowthat if r is the remainder when a is divided by b, then gcd(a, b) = gcd(b, r). Write a recursive function calledgcd that takes parameters a and b and returns their greatest common divisor. Think about what the basecase is for this algorithm.Part III String…