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The Binary Connection


 

Most of us are familiar with the base-10 counting system. In base-10, numbers are expressed using 10 numerical instances (specifically, 0-9). However there are other counting systems out there; some much older than the base-10 system.
Binary, or base-2, dates back several centuries BC, but is more commonly identified with modern computer technology. Binary can be represented by any mechanism that is capable of being in one of two mutually exclusive states, such as one’s and zero’. This lends itself quite nicely to the ten one ten phenomenon.
I won’t get into the details of how to read binary or how to work with binary numbers. For the purposes of this essay, we’ll stay focused on the number we’re actually interested in: ten one ten.
Ten one ten can be represented one of two ways in binary: either 10110, or 100110. In order to translate these into base-10 numerals, we simply need to do some quick math.

10110 =

{1*2^4} + {0*2^3} + {1*2^2} + {1*2^1} + {0*2^0} =

(1*16) + (0*8) + (1*4) + (1*2) + (0*1) =

16+0+4+2+0 = 22

In base-2, each digit represents an increasing power of 2, as read from right to left, because that's how base-2 is read. We start with 2 to the power of 0, all the way to the far right, then to the power of 1, then 2, and so on. So, the binary number 10110 is equal to the decimal 22, as seen in the equation above.
If we apply the same math to 100110, we would discover that the decimal translation is equal to 38. To summarize:

10110 = 22
100110 = 38

This information can be interpreted in a number of ways, latitude and longitude, for example. Lat 22, Long 38 puts you smack in the middle of the Red Sea. Could this be a reference to the book of Exodus, where Moses leads the Jews out of Israel by parting the Red Sea with his staff? Lat 32, Long 38 is located near a small village in Greece called Kertezi. There may be other latitude/longitude relationships here as well, but discussing them would be outside the scope of this paper.
The most common application of a base-2 system is, of course, the binary code that is responsible for the functioning of every computer on the planet. Essentially, when you tell your computer to do something, those instructions are first translated into a corresponding series of 1's and 0's. This is known as binary code. Binary code is broken down into bits. Each bit can either be a 1, or a 0. Eight 1's or 0's sequenced together is known as a byte of information. For example, the number sequence 100110 is really not meaningful in terms of binary code, because it consists of only six bits. We could add some leading 0', however, i.e. 00100110, which is equivalent to the character & in the standard ASC-II, which is the coding standard for interchanging information between English and binary. That is, when you enter a & into a document's text field, the computer stores it as 0010010. I found a pretty cool website, http://www.paulschou.com/tools/xlate/ which allows the user to translate text into binary and vice versa. Check it out if you feel so inclined. Maybe you can find some other connections to the ten one ten phenomenon, before I do anyway...

 


 

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