Using the man began his long path to knowledge, he faced multiple problems of communication, sales, purchases, counting the possessions in animals that they had among many other things and from there a numbering system had to come out that would help him.
Many were the utensils used to get an idea of how much wealth a lord had and for this he implemented various figures depending on the civilization he lived in to assign a number and be able to count quickly, efficiently and accurately.
Although some were problematic to give a specific result, it takes into account the numbering systems that were taken to define a count from a small number to a higher one or to large quantities.
When the number grows and becomes larger, it becomes quite difficult to read the numbering, therefore, throughout history, different systems have been implemented that ended up perfecting the one that is used throughout the world today.
For this reason, it is time to talk about the positional numbering system, which is similar to the one used today and has a diversity of connotations in the lives of human beings to carry out their different economic transactions.
What do you need:
- Units.
- Dozens.
- Hundreds.
- Towns.
- Economy.
- Civilizations.
- Effective communications.
- Economic transactions.
- Autonomy.
Instructions
Can you imagine in a time counting on sticks? Maybe with pots or dolls? That happened in earlier times where there was no special numerical system that gave a result of a specific amount on wealth, possessions, purchases and sales, among others.
Different brands were used to recognize different numbers and when the amounts exceeded the existing ones, it was time to make one that would identify the largest number that was wanted to represent, which is an advance in communication and in the economy of a civilization.
Through the numbering systems, a brand that distinguished them from the others was achieved in various parts of the world and in the diversity of civilizations that existed, building an exchange base that managed to obtain a complete and exact order and organization.
Learn step by step about the system
- The way of writing and counting numbers has been very diverse since the time when the shoulder could get up and walk on its feet, to reach the understanding of an economic position having to do a specific numbering.
- Numbering systems have been the open door to a better world, achieving great advances in many mathematical calculation processes as well as knowing how to name large quantities with which to feel great and powerful due to knowledge.
- The system that is used today was developed by the civilization anchored in India, and transmitted to the rest of the world by the Arabs who also promoted algebra, in addition to the use of zero as a neutral number in calculation.
- The numbers or 10 digits represent an indefinitely high quantity, giving power to mathematical operations, a preponderant factor in the use of numbering systems that led to the evolution of what we currently use to count.
- The numbering system is the union of symbols according to the precepts and standards required to promote the construction of large numbers or quantities that we want to state for our own benefit and knowledge.
- These rules are in charge of establishing the number of operations necessary to promote the numbering system in order to achieve feasible elements for the organization of the random quantities that are carried out.
- The use of elements, letters, symbols, signs, among many other forms, is one of the rules that make the number system the formal set of relationships among themselves to give an accuracy with a huge percentage of positive results.
- There are non-positional numbering systems using different ways to count starting with the fingers of the hands, the Egyptian system, the Roman system, the Mesopotamian system, the Mayan system, among many others that were derived around the world.
- In non-positional numbers, the symbol used in the graphic representation of any digit or amount does not depend on the position it is in, within the amount that you want to position or give to count.
- All the systems that are within this category are those used in the different civilizations prior to this time and that are part of the history of the world, leaving a legacy with each of them for general knowledge.
- In its beginnings, each of the number systems used were taken into account and gave positive results because they were in accordance with their time, many of them became obsolete, but they have been predominant in the one that is currently handled.
- The Egyptian system is the oldest and it represents an order of categories ranging from one unit to a thousand, using different symbols and images to represent them, which have been left on stones and walls to be discovered and impart knowledge.
- The Roman system falls into the non-positional category with the use of 7 capital letters to identify each of the numbers from 1 to a thousand and by conjugating the letters the amounts that you want to establish are achieved, not including 0 in your calculations.
- The position systems that are in the middle of the non-positional and positional ones are those that show that a number depends on the figure used as well as on the place that has been selected within the quantity that one wants to place.
- In the positional numbering system, the sad symbols are taken as a base to put the quantity, with the same elements to form it from the moment they are placed, giving rise to a quantity according to its position.
- The positional numbering system behaves by adding and adding until reaching the desired quantity, moving the symbols until reaching the last number of the quantity and having to start again to continue counting.
- It is necessary to take into account where the symbols with which we count and make calculations come from and not assume that a quantity gives by itself but rather trying to find out the procedure by means of which the reason for the result is demonstrated.
- This checking the results through numerology and symbology, can train a person who is interested in taking into account the method that gives the results and not simply what is expected at the end of the operations.
- The numbering systems that can be found are: binary and decimal system, each one with rules arranged to give a valid result through which the exact result is obtained at the end, with the use of symbols.
- The binary positional numbering system is divided into base 8 or octal and base 16 or hexadecimal, currently being used to define mathematics and calculation with undeniable accuracy that gives positive results.
- The decimal positional numbering system uses base 10, which go in correlative order from 0 to 9 and taking into consideration that it does accept the symbol zero (0) within its system as one more digit to calculate.
- It is currently used throughout the universe, to carry out most of the calculations, although binary is used in some programs, in reality both one and gold are used, having as a characteristic that they are a precise numerical series.
- The decimal system is said to be positional because the value of the number depends on the place it occupies in the quantity, so an example would be that 2 does not have the same value if it goes only to the right of a quantity or to the left.
- The binary system is the most used in the language of computers, which work based on two digits, nothing more than 1 and 0, which combined with each other help to develop a language through which these teams work.
- The octal binary system works based on unified sets of three digits, giving a specific amount for any number or amount that you want to find out how much it is worth in the binary system, so it becomes very complex to work with.
- Both one and the other are studied through sciences such as mathematics, algebra and probability, making it clear that they are exact sciences that give a complex result to be understood by those who study them.
- The hexadecimal system works with a base of 16, using 16 digits for it, also being used in the processes of computers that work with a mathematical language, making it clear that numbers are what give it life.
- Computers use the byte so that the ram memory can exercise its impulse and start giving it life, therefore it needs a specific number of digits that the hexadecimal binary system can provide according to the required quantity.
Tips
- Mathematical operations have to give exact results and for this they must have a unique system.
- It is better and more accurate to work with a positional numeral system because by moving the digits around you get large numbers and they are easy to read.
- History teaches about the knowledge of where the numbers come from, so you have to have a basis in symbology.