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2. (Write a method to convert hex to binary) The method should be named hex2bin and should take 1 argument. The argument is a string of hex digits. Scanning from left to right, for each hex digit: a. Verify it is, in fact, a hex digit 0-9, a-f (or A-F). If it is not, issue an error and return '0' to the caller b. For each digit, convert the digit to a string of 4 bits (i.e.9-1001', A-> 1010', etc. Return the final string (a concatenation of all binary strings converted from hex) (Write a method to convert binary to hex) For this method, it should take a string of bits (as generated from hex2bin). Call this method bin2hex. Convert each set of 4 bits into a hexadecimal digit (hint: you can do this by taking the 4 bits, converting them to integer values and using a lookup in a list holding the 16 hex digits). Important! Remember to convert the bit sequence from right to left! 3. 4. (Test code) Write a short main method that calls hex2bin with a few different values containing at least 3-4 hexidecimal digits. Take the returned values and pass them to bin2hex. Look at the return value and make sure it matches with the original argument to hex2bin 5. Write a method that converts binary strings to octal strings. This conversion is very similar to the bin2hex conversion but the binary is divided into strings of 3 bits (still going from right to left.) Add a couple of tests to your main method giving binary strings you returned from hex2bin and show the hex value and the octal equivalent as output