1. Numbers are, of course, one of the most abstract encodings that we normally have access to. When we see the number: 3, there is no need to immediately associate it with anything. We might think of 3 apples or 3 other things ...
2. But when we learn from the context that numbers indicate a child's birthday, TV channel, hockey game score, or the number of cups of flour in a cake recipe, it can be as natural as if it represents 3 apples.
3. Since the numbers are very abstract at first, it is difficult for us to understand such a problem. The problem is the following number of apples: Do not have to use the symbol "3" to express, the same can be expressed as "11".
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This is the decimal and binary, and the numbers are abstract. "3" is 3, it is in the decimal system of counting this, first let us forget the Number 10 original features. It is not surprising that most civilizations are based on a 10-based digital system. At first, people use their fingers to count.
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4. Most historians believe that numbers initially originate from the counting of things;
5. Of all the earlier digital systems, only the Roman numerals were used today; although we may not agree, the Roman numerals have been seen as easy to add up for a long time, which is why Roman numerals have been kept in the European journal for the present;
6. But multiplying and dividing with Roman numerals is complicated. Many other early digital systems (like the ancient Greek digital system) and the Roman numeral system are similar, and they also have some shortcomings in the use of complex operations;
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The digital systems we use today are often referred to as Arabic numerals, which can also be called the Indo-Arabic numeral system.
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7. The Arabic numeral system is related to the position, that is to say, the position of a number is different, its representative quantity also is different;
8. On the other hand, Arabic numerals are actually one thing that almost all of the early digital systems do not have, and that is 0;
9. A small 0 is undoubtedly one of the most important inventions in the history of numbers and mathematics. It supports the position counting method,
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0 also simplifies some very complex operations in digital systems with position-less light, especially multiplication and division
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End, due to the decimal and position count.
Finally, the advantage of the position counting system is not how good it is, but that it is still easy to count for non-decimal systems.
Code-hidden in the language behind the computer soft and hard seventh our 10 numbers