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« Numeral systems the world »
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Numeral systems the world

Throughout the history of mankind, many counting systems have been created. They differ from each other, but their purpose is related to the recording and counting of quantities. With their help, you can count any number. You can also perform mathematical operations. Here are collected all the number systems created by all peoples, countries and nations. Learn about each of them and expand your knowledge related to counting systems. This information will give a complete picture of what and what means were used. Person to create them.

What are numeral systems?

Numeral systems: This is a specially developed method of writing numbers using symbols. With these systems, you can write small and large numbers and perform mathematical operations on them.

Types of numeral systems

As we have already mentioned, systems are specially designed methods by which mathematical operations are performed. In the case of counting systems, there are 2 systems:

  1. Positional;
  2. Non-Positional.

Positional counting system: It is a specially developed method. With its help, the quantitative indicator of a digit changes depending on the place it occupies in the number. For example: the number 567 - the number 5 occupies the hundreds place in the number, therefore its numerical index is 500. Therefore, the value of the digits in positional counting systems is determined by their place in the number.

Non-positional counting system: This is a method in which the numerical value of the digits does not change when their position (order) changes. For example: in the Roman numeral system, all symbols have a predetermined numerical value. Their quantitative indicator does not change when the place in the number changes. For example: MSCXI (1211). The number 200 does not exist in the Roman numeral system. C + C, CC = 200 are used to write it.

Character types in numeral systems

People also used different types of symbols to create counting systems, see their list:

  1. Vertical lines;
  2. Points;
  3. Hieroglyphs;
  4. Letters of the alphabet;
  5. Special symbols.

Number of characters in numeral systems

The number of characters in counting systems is determined by the type to which they belong. For example, the number of characters in positional counting systems is 10. And in non-positional counting systems, their number is much larger and the number is not defined.

Places of origin of numeral systems

Their place of origin is different, because they were created in all corners of the earth and on all continents. Therefore, their places of origin differ from each other.

Dates of occurrence of numeral systems

The time of their creation is different, because they were created over thousands of years. This factor caused the difference in the dates of their creation.

Numeral systems

In the left column of the table are the names of the systems, in the right column is the type of system.
System name System type
Numeral systems
 

Glossary of terms

Check out the definitions of the terms used on this page. With its help, you can easily understand this information.

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