What is Decimalization?

600, 3/5, -7.99 ... Looking at these familiar numbers, have you thought too much? In fact, these are all decimals commonly used in the world, that is, 1. full ten, one full, twenty, two, and so on ... 2. according to the right, the first right is 10 ^ 0, the second one is 10 ^ 1 ... and so on, the Nth bit is 10 ^ (N-1), and the value of the number is equal to the value of each bit * the sum of the weights corresponding to the bit.

Human arithmetic uses decimal, which may be related to humans having ten fingers.

First of all, today's indispensable in daily life

Some scholars believe that Beijing

The "Epoque" records that people in the Shang Dynasty have learned to use the 13 words of one, two, three, four, five, six, seven, eight, nine, ten, one hundred, one thousand or ten thousand to write down any number less than 100,000. , But now the largest number that can be confirmed at that time was 30,000.

10 ^ 0 (tenth power of ten)

10 ^ 1 ten

10 ^ 2 hundred

10 ^ 3 thousand

10 ^ 4 million

10 ^ 5 one hundred thousand

10 ^ 6 million (Million [2])

10 ^ 7 million

1 ^ 8 billion

10 ^ 9 billion

10 ^ 10 billion

10 ^ 11 100 billion

10 ^ 12 trillion (trillion, too [2])

10 ^ 13 Ten trillion

10 ^ 14 hundred trillion

10 ^ 15 Gigabit (shooting)

10 ^ 16 Beijing

10 ^ 17 Tokyo

10 ^ 18 Baijing (Ai)

10 ^ 19 Senkyo

10 ^ 20

10 ^ 21 Toto

10 ^ 22 Hundred

10 ^ 23 thousand yen

10 ^ 24 (Yao)

10 ^ 25 Ten

10 ^ 26 Hundred yuan

10 ^ 27 thousand yen

10 ^ 28

10 ^ 29 Ten

10 ^ 30 hundred yuan

10 ^ 31 thousand yen

10 ^ 32 groove

10 ^ 33 Shigou

10 ^ 34 Baigou

10 ^ 35 thousand ditch

10 ^ 36

10 ^ 37 Ten

10 ^ 38 hundred yuan

10 ^ 39 thousand yen

10 ^ 40 positive

10 ^ 41 Shizheng

10 ^ 42 Baizheng

10 ^ 43 Chizen

10 ^ 44 year

10 ^ 45 ten years

10 ^ 46 years

10 ^ 47 thousand

10 ^ 48 pin

10 ^ 49 ten poles

10 ^ 50 Baiji

10 ^ 51 thousand poles

10 ^ 52 Ganges Sand

10 ^ 53 Shi Ganghe sand

10 ^ 54 Baihenghe Sand

10 ^ 55 Thousand Henghe Sand

10 ^ 56 Ascendant

10 ^ 57 Shia Monk

10 ^ 58 Baa Monk

10 ^ 59 Thousands of Monks

10 ^ 60 that by him

10 ^ 61 Ten that by him

10 ^ 62 Baina You

10 ^ 63 Senayou

10 ^ 64 incredible

10 ^ 65 ten incredible

10 ^ 66 incredible

10 ^ 67 Thousands of incredible

10 ^ 68 infinite

10 ^ 69 immeasurable

10 ^ 70 Unlimited

10 ^ 71 immeasurable

10 ^ 72

Babylon's 60-carry system uses an upper, lower and lower wedge to represent 1, two parallel wedges to represent 2, three parallel wedges to represent 3, upper two wedges to lower two wedges to represent 4, upper three wedges to lower wedge to represent 5, and upper Three wedges, three wedges, six, four wedges, three wedges, seven, four wedges, four wedges, eight, and five wedges, four wedges, 9; one left, right and large wedges on behalf of 10, two wedges side by side Represents 20, three cross wedges side by side represents 30, and four cross wedges side by side represents 40.

Chinese decimal weights and measures have a long history. A Zhou ruler in the 6th century BC was engraved with a tenth of an inch and a cent of a cent.

Decimal. The English name is Decimal System. The decimal count was invented by Hindus 1500 years ago, and was passed down to the 11th century by Arabs.

Decimal is based on the two principles of decimal and decimal, that is, all numbers are represented by 10 basic symbols, full decimal, and the same symbol has different values at different positions. The position of the symbol is very important. Basic symbols are 0 to 9 ten digits. To represent ten times these ten numbers, shift these numbers to the left by one, and fill in the spaces with 0, that is, 10, 20, 30, ..., 90; to represent ten times these ten numbers, continue Move the number to the left, that is, 100, 200, 300, ... To represent 1/10 of a number, shift the position of the number to the right, and add 0 spaces if necessary: 1/10 of 0.1, 1/100 is 0.01, and 1/1000 is 0.001. --Excerpted from "Statistics" Appendix 3 Mathematical Basics P205-6 [English] Tim Hannagan 2008.1

In addition, the fan game "Oriental Red Devil Township" has a BOSS

Decimal notation is relative

Binary number conversion

Binary number to decimal number

The basic method for converting binary numbers to decimal numbers is to first write the binary numbers as a weighted coefficient expansion and then sum them according to the decimal addition rule. This practice is called the "add by weight" method. Example 1105 converts the binary number 110.11 into a decimal number.

Decimal number to binary number

When converting a decimal number to a binary number, the integer and decimal parts are converted differently, so the integer part and decimal part of the decimal number are converted separately and then combined.

1. Decimal integers are converted to binary integers. Decimal integers are converted to binary integers using the "divide by 2 and remainder in reverse order" method. The specific method is: divide the decimal integer by 2 to get a quotient and the remainder; and then divide the quotient by 2 to get a quotient and the remainder. This is done until the quotient is zero, and then the remaining remainder is used as a binary number The low-order significant digits of the digits are used as the high-order significant digits of the binary number.

2. Decimal decimal to binary decimal

Decimal decimals are converted to binary decimals using the "multiply by 2 round, order" method. The specific method is: multiply the decimal fraction by 2 to get the product. Take out the integer part of the product. Then multiply the remaining decimal part by 2 to get another product. Then take out the integer part of the product. The decimal part is zero, or until the required precision is reached.

Then arrange the taken out integers in order. The integer taken first is taken as the significant significant digit of the binary fraction, and the integer taken later is taken as the significant significant digit. ^[3]