Computer scientists and mathematicians often use numbering systems other than base 10. Write a program that allows a user to enter a number and a base and then prints out the digits of the number in the new base. Use a recursive function baseConversion (num, base) to print the digits. Hint: Consider base 10. To get the rightmost digit of a base 10 number, simply look at the remainder after dividing by 10. For example, 153 % 10 is 3. To get the remaining digits, you repeat the process on 15, which is just 153 // 10. This same process works for any base. The only problem is that we get the digits in reverse order (right to left). The base case for the recursion occurs when num is less than base and the output is simply num. In the general case, the function (recursively) prints the digits of num // base and then prints num % base. You should put a space between successive outputs, since bases greater than 10 will print out with multi-character "digits." For example, baseConversion(1234,…

Need help Writing a function, countVowels, that accepts a string as an argument. countVowels should return the number of vowels in that string. Use recursion.     example  countVowels('Four score and seven years'); // => 9

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.