The tenth bit is the billion bit, and the counting unit of this bit is one billion; ?
The eleventh place is 10 billion, and the counting unit of this is 10 billion;
The propulsion rate between every two adjacent counting units is 10.
decimal system
origin
Human arithmetic uses decimal system, which may be related to the fact that human beings have ten fingers. Aristotle said that the universal use of decimal system by human beings is only the result of an anatomical fact, that is, most people are born with 10 fingers. In fact, in the writing numeration system independently developed in the ancient world, except for the cuneiform numerals of Babylonian civilization, which adopted 60 decimal system, and the Mayan numerals adopted 20 decimal system, almost all of them were decimal system. However, these decimal notation systems are not bitwise.
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First of all, the decimal system, which is indispensable in people's daily life, is a great invention of China. At the latest in Shang Dynasty, China had adopted the decimal system. It can be seen from the Wen Tao and Oracle Bone Inscriptions in Shang Dynasty that we were able to record any natural number within 100,000 with thirteen numbers, such as one, two, three, four, five, six, seven, eight, nine, ten, hundred, thousand and ten thousand. Although the shapes of these numbers have changed in later generations and become the current writing methods, the notation has never been interrupted and has been used and improved day by day. Decimal notation is the most advanced and scientific notation in the ancient world, which plays an inestimable role in the development of world science and culture. As Joseph Needham said, "Without this decimal system, it is impossible to have our unified world now."
A batch of pottery was unearthed in F90 1 room in the late Yangshao period in Dadiwan, mainly including four pieces of clay trough-shaped strips, long-handled twist ear shovel with fine sand, clay single-ring ear dustpan and mud-covered deep-bellied pot. The volume of the strip disk is about 264.3 cubic centimeters; The natural texture volume of shovel paper is about 2650.7 cubic centimeters; The natural texture volume of basket paper is about 5288.4 cubic centimeters; The volume of the four deep belly tanks is about 26082.438+0 cubic centimeters. It can be seen that, except that the dustpan copy is twice as much as the shovel copy, the relationship between the other three pieces is ten times increasing. The discovery of these weights and measures also provides very valuable physical data for studying the origin of China's ancient decimal system.
Although the notation of ancient Babylon had the significance of value system, it used hexadecimal and the calculation was very complicated. In ancient Egypt, there were only one to twelve number symbols and one to fourteen thousand number symbols, and these symbols were pictographic, for example, a bird represented one hundred thousand. Because of the advanced geometry, ancient Greece despised calculation and backward counting methods. It uses all Greek letters to represent numbers from one to ten thousand. If there are not enough letters, it is supplemented by adding symbols, such as "'". Ancient Rome used the cumulative method, such as ccc was 300. In ancient India, there were both letters and accumulation methods. Decimalization was not adopted until the 7th century, probably influenced by China. India-Arabic numerals and notation, which are widely used now, only spread to Europe in the tenth century.
In computational mathematics, China had four operations in the Shang and Zhou Dynasties, and the four operations of integers and fractions in the Spring and Autumn Period and the Warring States Period were quite complete. Among them, the positive integer multiplication rhyme "Jiujiuge" appeared in the Spring and Autumn Period, which is the crystallization of the combination of advanced decimal notation and concise China language, and cannot be produced by any other notation and language. Since then, Jiujiu Song has become one of the most basic foundations for the popularization and development of mathematics, and it has continued to this day. It only changed from "998 1" to "224" in ancient times, and now it is from "one for one" to "998 1".