Write a Java program that prompts the user for the page size used in a virtual memory system; this will be a power of two between 512 (2^9) and 16384 (2^14), inclusive. Your program should check the input for page size to make sure it is one of the allowable inputs, and should then prompt the user for a virtual address (assume 32-bit virtual addressing, so your code must be able to accept any input between 0 and 4294967295, which is 2^32-1). Given this input, the program must output the virtual page number and the offset within the page. Sample output might look like this:

Please enter the system page size: 1024

Please enter the virtual address: 10000

This address is in virtual page: 9

At offset: 784