Do you remember seeing the movie The Matrix? Remember the green columns of zeros and ones scrolling across the screen? Those ones and zeros are part of a numbering system called Binary. Binary is a simple system that uses only two character symbols but performs large counting tasks. Binary is not a number system you would want to use for everyday tasks because there are no shortcuts, you have to do the equation the same way every time, and it takes a long time to do most of the calculations. This is why we use what is called the Denarius (AKA Decimal) number system. The denarius number system is called the base 10 system while the binary system is called the base 2 system. Base-10 means that the system uses ten different characters as symbols, 0-9. As stated above, the binary system uses only two character symbols, 0-1. The following graph should show how the two systems look compared to each other. Denarius Binary Denarius Binary1 1 11 10112 10 12 11003 11 13 11014 100 14 11105 101 15 11116 110 16 100007 111 17 100018 1000 18 100109 1001 19 001110 1010 20 10100The binary has operations just like the Denary system did. Binary addition is the most basic operation and should also provide the best example of how the system works. In the denar system, addition works by placing one digit on top of another and adding values ​​to it. The same goes for the binary. The only difference is how you add zeros and ones. If you have 1+0 or 0+1 the answer is 1. Or if you have 0+0 the answer you would get is 0. Everything is simple, but when you get 1+1 the answer is 10. The reason for this it's because there is no 2 in binary, but if there was it would be 10. Below are examples of adding each system.Denary Binary5 ...... middle of paper ......Binary number system | Summary of the World of Mathematics, n.d.). This has led to binary being called machine language because it is very easy to interpret 0 and 1. A machine such as a computer can see 0 and 1 as on and off (Leverkuhn, n.d.). For example, a computer processor has millions of switches inside it that can be turned on and off. This on and off system tells the computer what to do. It may seem like computers have a brain and very high intelligence, but in reality they are just listening to the sound of a doorbell to perform a desired action. Dr. Ka-Wing Wong, head of the computer science department at Eastern Kentucky University would say, “Computers are stupid.” Binary is the basis for communication with computers in the field of computing. This is also the main purpose of Binary in today's world. Without Binary the world would be less technologically advanced.