Write and test a Boolean recursive method thất takes a string palindrome, false otherwise.
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- Exercise-3: Write a recursive and iterative methods to convert a decimal number to its binary equivalent string. The iterative algorithm (in pseudo-code) for converting a decimal integer into a binary integer as follows: 1. If the integer is 0 or 1, its binary equivalent is 0 or 1. 2. If the integer is greater than or equal to 2 do the following: 3. Divide the integer by 2. 4. Separate the result into a quotient and remainder. 5. Divide the quotient again and repeat the process until the quotient is zero. 6. Write down all remainders in reverse order as a string. 7. This string is the binary equivalent of the given integer. // Recursive decimal to binary method public static String dec2binRecursive(int n) { if (n<2) return n+ " ". else return dec2binRecursive(n/2) + n%2; } a) Write the Complete program for above Recursive decimal to binary method Algorit b) Iterative decimal to binary method1. Write a recursive method expFive(n) to compute y=5^n. For instance, if n is 0, y is 1. If n is 3, then y is 125. If n is 4, then y is 625. The recursive method cannot have loops. Then write a testing program to call the recursive method. If you run your program, the results should look like this: > run RecExpTest Enter a number: 3 125 >run RecExpTest Enter a number: 3125 2. For two integers m and n, their GCD(Greatest Common Divisor) can be computed by a recursive function. Write a recursive method gcd(m,n) to find their Greatest Common Divisor. Once m is 0, the function returns n. Once n is 0, the function returns m. If neither is 0, the function can recursively calculate the Greatest Common Divisor with two smaller parameters: One is n, the second one is m mod n. Although there are other approaches to calculate Greatest Common Divisor, please follow the instructions in this question, otherwise you will not get the credit. Meaning your code needs to follow the given algorithm. Then…Determine whether a string is a palindromeA palindrome is a string of characters that reads the same from right to left as it does from left to right, regardless of punctuation and spaces.The specifications for this assignment are: •Write and test a non-recursive solution in Java that determines whether a string is a palindrome •Your program should consist of at least two methods: (1) the main method (2) the method which performs the task of determining whether the specified string is a palindrome. You should name this method isPalindrome. You should name the class that contains your “main” method and the isPalindrome method FindPalindrome. •You must use a Stack and a Queue in your solution: Write your own Stack and Queue based on the Vector in the Java API and use those in your solution. You should name those classes StackVector and QueueVector respectively. You already have access to the relevant exception classes and interfaces for the above ADTs. •All of your belong to a Java…
- Indirect recursion is when function A calls function B, which in turn calls function A. is it true or false.Write a recursive method that will remove all the special characters from agiven string and return what is left as a new string. (Hint: Use the + operatorto perform string concatenation to construct the string that is returned.)1. Let product(n,m) be a recursive addition-subtraction method for multiplying two positive integers. Recursive cases for m = 1 and m < 1 make this method. The return value should be n plus a recursive product() call with n and m - 1. Test a Java method.
- Write a recursive method that will reverse the order of the characters in agiven string and return the result as a new string. For example, if "book" isthe argument, the result would be "koob".Write a program that has a main() function that calls a recursive method repeatPrint(String s, .....) that prints out the strings as shown in the example below: repeat Print ("CHICAGO", ....); C CH CHI CHIC CHICA CHICAG CHICAGO CHICAGO HICAGO ICAGO CAGO AGO GO 0Write a recursive method that converts a decimal number intoa hex number as a string. The method header ispublic static String dec2Hex(int value)Write a test program that prompts the user to enter a decimal number and displaysits hex equivalent.
- Write a recursive method that displaysa string reversely on the console using the following header: public static void reverseDisplay(String value) For example, reverseDisplay("abcd") displays dcba. Write a test programthat prompts the user to enter a string and displays its reversal.Write recursive methods for the following operations: • removeDup(String s): takes string s and returns another string r constructed from s after removing all duplicates. For example, when s = "pineapples", r will be "pineals". • intersection(String s1, String s2): takes two duplicate-free strings and returns the string consisting of all letters that appear in both s1 and s2. • union(String s1, String s2): takes two duplicate-free strings and returns the string consisting of all letters that appear in either s1 or s2. • difference(String s1, String s2): takes two duplicate-free strings and returns the string consisting of all letters that appear only in s1. For example, when s1 = "aples" and s2 = "pears", intersection(s1, s2) will return "apes", union(s1, s2) will "aplesr", and difference(s1, s2) "l". Calling method removeDup() is not allowed in intersection(s1, s2) , union(s1, s2) or difference(s1, s2) method. Your program should check strings are duplicate free before they are…write a recursive method to return the number of uppercase letters in a string in java