Duodecimal System Research Paper

Introduction: My topic chosen is theme 3, the Numerical System. My example of a numerical system used in real life is binary and the duodecimal system. I am going to talk about what these systems are and how it is used in real life. My aim of this investigation is to find out different numerical system that is used in our life, and for this case, I chose binary and the duodecimal system. My aim is to know what they are, how and where they are used, and how it is different from the decimal system we are using.

I chose this topic because binary and the duodecimal system are one of the most commonly used systems next to the decimal system, and I think it would be good to know about them. I always had interest in binary, and I think

Binary is mostly used in modern technology (eg: Electronic computers, calculators). Electronic devices store memory in small elements that can only represent on and off, which can be represented with the numbers 0 and 1. One element represents one bit (binary digit). Binary used to be used to create programs during the early stages of computer technology, but now, as the technology advances, the alphabets and numbers we key in are converted to binary before the computer stores or does the tasks. However, when it is for humans, who use decimal system, 101 in binary is often written as 〖101〗_2 so that people won’t confuse it with 101 in the decimal

In the number 12345678, 8 will be the 1st digit, 7 will be the 2nd digit, 6 will be the 3rd digit… and 1 will be the 8th digit.

Mathematical approaches

How to read and write binary:
Binary
As binary can only be expressed by 0 and 1, when we are writing numbers bigger than 2, it is moved to the left. This is how we write numbers from 0 to 8 in binary.
Decimal
System 0 1 2 3 4 5 6 7 8
Binary System 0 1 10 11 100 101 110 111 1000 An easier way to understand binary will be like this:
Let’s take “o” to represent “1” and “x” to represent “0”. “o” and “x” will represent whether the number is used.
If we are writing the number 43 in binary…
32 16 8 4 2 1 o x o x o o
We will add up all the numbers that is “o”:

32 + 8 + 2 + 1 = 43

Therefore, 43 is written as 101011 in binary. Let’s try another example:
If we are writing 126 in binary…
As 116 can be written as 64 + 32 + 16 + 4,
64 32 16 8 4 2 1 o o o x o x x
Therefore, 116 is written as 1110100 in binary.
You may ask, “Where did the numbers 64, 32, 16, 8, 4, 2, 1 come