java programming

Question 1(20 points): Write a recursive program to nd the length of a string. You should not use length method.

Question 2(20 points): Write a recursive program to check a given string is a palindrome.

Question 3(20 points): Write a recursive program to reverse a positive integer. (Do not use number to string and string to number conversions)

Question 4(20 points): Write a program to convert decimal number to binary format using only numeric operations.

Question 5(20 points): Method reverse shown below returns the reverse of a String. String reverse( String str ) 1. Implement reverse recursively. Do not worry about the ineciency of string concatenation.'

2. Implement reverse by having reverse be the driver for a private recursive routine. reverse will create a StringBuffer and pass it to the recursive routine.