This task is designed for implementation within a single file.

Conversions: Decimal to hex, Binary to Decimal, Hex to Decimal, and String permutation: Write a recursive method that converts a decimal number into a hex number as a string. The method header is: . public static String dec2Hex(int value) Write a recursive method that parses a binary number as a string into a decimal integer. The method header is: . public static int bin2Dec(String binaryString) Write a recursive method that parses a hex number as a string into a decimal integer. The method header is: . public static int hex2Dec(String hexString) Write a recursive method to print all the permutations of a string. For example, for the string abc, the permutation is: . abc . acb . bac . bca . cab . cba Define the following two methods. The second is a helper method. . public static void displayPermutation(String s) . public static void displayPermutation(String s1, String s2) The first method simply invokes displayPermutation( , s). The second method uses a loop to move a character from s2 to s1 and recursively invokes it with a new s1 and s2. The base case is that s2 is empty and prints s1 to the console.