Write a program called BaseConverter that prompts (asks) the user for a base 10 number and another number, between 2 and 10 inclusive. This second number is the base to which to convert the first number. The program outputs the original number and the number converted to the given base. If the base number is less than 2 or greater than 10, the program outputs a message and terminates.

Note: this problem is to be solved using only the Scanner, String and System classes. Arrays or other data structures are not allowed.

System.exit( ) is not be used anywhere in any of the Tasks, marks will be deducted if it is used anywhere in this assignment.

The algorithm for this conversion is to keep dividing the base 10 number by the conversion base, recording the remainders, until the base 10 number is 0. Then write the result, starting from the bottom and work up to the top.

> java BaseConverter
Enter decimal number >> 153
Enter base to convert to >> 8
153 in base 10 converted to base 8 is 231
 
java BaseConverter
Enter decimal number >> 153
Enter base to convert to >> 7
153 in base 10 converted to base 7 is 306
 
> java BaseConverter
Enter decimal number >> 153
Enter base to convert to >> 5
153 in base 10 converted to base 5 is 1103
 
> java BaseConverter
Enter decimal number >> 153
Enter base to convert to >> 2
153 in base 10 converted to base 2 is 10011001
 
> java BaseConverter
Enter decimal number >> 153
Enter base to convert to >> 10
153 in base 10 converted to base 10 is 153

> java BaseConverter
Enter decimal number >> 153
Enter base to convert to >> 16
Conversion base must between 2 and 10 inclusive