Need some help with this c++ problem In order to compute a power of two, you can take the next-lower power and double it. For example, if you want to compute 211 and you know that 210 = 1024, then 211 = 2 × 1024 = 2048. Based on this observation, write a recursive function int pow2(int n) where n is the exponent. If the exponent is negative, return -1. int pow2(int n) { ..... }
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Need some help with this c++ problem
In order to compute a power of two, you can take the next-lower power and double it. For example, if you want to compute 211 and you know that 210 = 1024, then 211 = 2 × 1024 = 2048. Based on this observation, write a recursive function int pow2(int n) where n is the exponent. If the exponent is negative, return -1.
int pow2(int n)
{
.....
}
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- please code in python Write a recursive function to add a positive integer b to another number a, add(a, b), where only the unit 1 can be added, For example add(5, 9) will return 14. The pseudocode is: # Base case: if b is 1, you can just return a + 1 # General case: otherwise, return the sum of 1 and what is returned by adding a and b - 1.please code in python Write a recursive function power(x, n), where n is 0 or a postive integer. For example, power(2, 10) will return 1024. Write a suitable base case, and for the general case use the idea that x**n = x * (x**n-1).Instead of using the * operator (or the / operator), create a recursive function that multiplies two positive integers. Bit shifting, addition, and subtraction are all acceptable, but you should use them sparingly.
- (Using the programming language C, answer the following question) Write recursive C functions to do the following: Example: int summ(int n) returns the summation of integers from 0 to n. Here is the code. int summ(int n) { if(n < 0) return -1; if(n == 0) return 0; return n + summ(n - 1);} 1) If n is less than 0, the expression int bunnyEars(int n) returns -1; otherwise, it returns the number of ears for n bunnies. int factorial(int n) returns -1 if n is less than 0, otherwise returns the factorial of n. If n is greater than or equal to 0, the expression int fib(int n) returns -1; otherwise, it returns fib of n - 1 + fib of n - 2. (This will run quite slowly if you test it with more than roughly 50 digits.). int posPow(int base, int exp) returns -1 if exp is less than 0, otherwise returns base raised to the power exp. Write a main() that tests all the other functions thoroughly.Implement a recursive C++ function which takes a character (ch) and a positive integer (n) and prints thecharacter ch, n times on the screen. The prototype of your function should be:void printChar (char ch, int n)For example, calling printChar('*',5) should display ***** on screen.Note: There should NOT be any loop in your function.In this lab, we will practice: Implementing recursive function printing in a recursive function (before and after the recursion function call) working on setting the base and general cases for the recursion function Instructions Write a recursive function called print_num_pattern() to output the following number pattern. Given two positive integers as input (Ex: 12 3), subtract the second integer (3) from the first one (12) and print the result continually until 0 or a negative value is reached. Then continually print the result of the addition of the second integer to the last value you reached from the subtraction (zero or negative) until the first integer is reached again. Note: For this lab, do not end output with a newline. Ex. If the input is: 12 3 the output is: 12 9 6 3 0 3 6 9 12 Hint You do not need to actually do addition. You can write statements i.e. printing statements after the recursion function call.
- Write a recursive function, sumDigits, that takes an integer as a parameter and returns the sum of the digits of the integer. Also, write a program to test your function.The Polish mathematician Wacław Sierpiński described the pattern in 1915, but it has appeared in Italian art since the 13th century. Though the Sierpinski triangle looks complex, it can be generated with a short recursive function. Your main task is to write a recursive function sierpinski() that plots a Sierpinski triangle of order n to standard drawing. Think recursively: sierpinski() should draw one filled equilateral triangle (pointed downwards) and then call itself recursively three times (with an appropriate stopping condition). It should draw 1 filled triangle for n = 1; 4 filled triangles for n = 2; and 13 filled triangles for n = 3; and so forth. API specification. When writing your program, exercise modular design by organizing it into four functions, as specified in the following API: public class Sierpinski { // Height of an equilateral triangle whose sides are of the specified length. public static double height(double length) // Draws a filled equilateral…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 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.I just need the method they are asking for Write a recursive function named checkPalindrome that takes a string as input, and returns true if the string is a palindrome and false if it is not a palindrome. A string is a palindrome if it reads the same forwards or backwards. Recall that str.charAt(a) will return the character at position a in str. str.substring(a) will return the substring of str from position a to the end of str, while str.substring(a, b) will return the substring of str starting at position a and continuing to (but not including) the character at position b. Examples: checkPalindrome("madam") -> true public boolean checkPalindrome(String s) { }Write a function sum_of_digits(a,b), that takes two arguments a and b, computes a to the power of b, then recursively finds the sum of digits until there is only one digit left. You must PRINT all steps of the process as shown in the below example. sum_of_digits(5,3) will PRINT on the screen the following: 5ˆ3 = 125 = 1 + 2 + 5 = 8 sum_of_digits(2,8) will PRINT on the screen the following: 2ˆ8 = 256 = 2 + 5 + 6 = 13 = 1 + 3 = 4