Write a program using any high level language (Java, to help you convert from binary, octal, hexadecimal and decimal numbers. Your program would ask the users to enter a number in binary or decimal ask the users what type of number it is (binary or decimal) check to make sure the number is legal (a decimal number contains only 0-9). If the number is not legal, it should error out! If the number is legal, convert the number to the other 3 types To challenge yourself, your program should also handle floating numbers although this step is NOT required. NOTE: As always, properly document your program. Add in headers. Add in comments. You CANNOT use pre-defined built in functions to do the conversion such as the followings and others!! Integer.toString(n,8) // decimal to octal Integer.toString(n,2)// decimal to binary Integer.toString(n,16) //decimal to Hex Use the Your program needs to mimic the algorithm division/multiplication method