I Java DO not use predefined like Integer.toString(n,8) or somthing like that for conversion. ONLY USE use the multiplication/division method to convert. only

Write a program using any high level language (Java, Python, C/C++, etc) 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

Your program needs to mimic the algorithm we discussed in class. Use this addition/subtraction method or the division/multiplication method