Question: Write a program that takes an integer from the user and converts it into its proper binary and hexadecimal representation using a LIFO structure. Precondition:

Write a program 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

2^3

2^2

2^1

2^0

8

4

2

1

10

1

0

1

0

10 mod 2 =0, 10/2=5

5 mod 2 =1, 5/2=2

2 mod 2=0, 2/2=1

1 mod 2 =1, 1 /2=0

Hexadecimal

Note that in the hexadecimal number system, the numbers are in the following sequence

0 1 2 3 4 5 6 7 8 9 A B C D E F

The decimal equivalent is

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

To convert the decimal number 65 into its hexadecimal equivalent:

16^3

16^2

16^1

16^0

4096

256

16

1

65

4

1

65 mod 16=1 65/16=4

4 mod 16=4 4/16=0

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