1) Write a program in c++ that takes an integer from the user and converts it into its proper binary and hexadecimal representation using a LIFO structure Precondition: The decimal numbers will be integers and positive Binary 2 22 2 20 8 4 10 2 1 0 10 mod 2 0 5 mod 2 -1, 5/2-2 2 mod 2-0, 2/2-1 1 mod 2 -1,1/2-0 10/2 = 5 Hexadecimal Note that in the hexadecimal number system, the numbers are in the following sequence The decimal equivalent is To convert the decimal number 65 into its hexadecimal equivalent: 0123 4567 89A B C D E F 0123 4567 89 10 11 12 13 14 15 16 1616 16 0 3 2 40 256 16 1 96 65 4 65 mod 16-1 4 mod 16-4 65/16=4 4/16=0