ariella jewelry wholesale What is binary

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The binary is a number system widely used in calculation technology. Dinary data is represented by 0 and 1 digital. Its base is 2, the position of the place is "every two in one", and the borrowing rules are "borrowing one as two", which was discovered by Leibniz, a master of mathematical philosophy in Germany in the 18th century. The current computer system is basically used by binary systems.
[Edit this paragraph] Introduction
The invention and application of computer inventions and applications of one of the important signs of the third scientific and technological revolution in the 20th century. The principle is correct.
[Edit this paragraph] Inlet number
1, the statement of binary data
The binary data is also a position count method, and its position is the power of 2 as the bottom. For example, the binary data is 110.11, and the sequence of its power is 2^2, 2^1, 2^0, 2^-1, 2^-2. For the N-bit integer, the binary data of the M-bit decimal is expanded by the weighted coefficient, which can be written as:
(a (n-) a (n-2) ... a (-m)) 2 = a (n-1) × 2^(n-) a (n-2) × 2^(n-2) ... a (1) × 2^1 a (0) × 2^0 a (-1) × 2^(-1) a (-2) × 2^(-2) ... a (-m) × 2^(-m)
For: (a (n-) a (n-2) ... a (1) a (0) .a (-1) a (-2) ... a (-m) 2.
Note:
1 1. In the formula, AJ represents the coefficient of the jitt, which is a number of one in 0 and 1.
2.a (n-1) (n-1) is a subscriber, and the input method cannot be used to be included, so it is included in parentheses to avoid confusion.
3.2^2 represents the square of 2, and so on.
[Example 1102] Write binary data 111.01 into a form of weighted coefficient.
Solution: (111.01) 2 = (1 × 2^2) (1 × 2^1) (1 × 2^0) (0 × 2^-1) (1 × 2^- 2)
The binary and hexadecimal, the same is the same as the power of the two.
[Edit this paragraph] Binary operation
The basic laws of arithmetic operations of binary data are very similar to the operations of decimal numbers. The most commonly used is the addition and multiplication operations.
1. Binary addition method
has four cases: 0 0 = 0
0 1 = 1
1 0 = 1
1 1 = 10 entry position For 1
[Example 1103] Find (1101) 2 (1011) 2 and the
solution:
. 1 0 1
1 0 1 r n -------------------rn �1 1 0 0 0rn 2. 二进制乘法rn 有四种情况： 0× 0 = 0
1 × 0 = 0
0 × 1 = 0
1 × 1 = 1
[Example 1104] Find (1110) 2 multiplication (101) 2
:
. 1 1 1 0
× × ×. 0 1
------------------------------------------------------------------- ----
. 1 1 1 1 0
. 0 0 0 0
. 1 0
----------------------------------------------------- -------------
1 0 0 0 0 1 1 0
(These calculations are the same as the decimal plus or multiplication, but the number is different. It was only ten to the place where it was 2)
3. Binary subtraction
0-0 = 0, 1-0 = 1, 1-1 = 0, 10-1 = 1.
4. Binary removal method
0 ÷ 1 = 0,1 ÷ 1 = 1. [1] [2]
5. A special algorithm except for binary plus method
拈 plus method binary addition, subtraction and multiplication.
The plus operation is similar to the addition of additional methods, but does not need to be made. This algorithm is widely used in game theory.
[Edit this paragraph] Advance conversion
This decimal number conversion to binary number, octagonal number, hexadecimal number of production:
It binary number, octagonal number, hexadecimal number conversion conversion Method for decimal numbers: Development of power and law
. The mutual conversion between binary and decimal:
(1) Binary turning decimal
Method: "Development of power and"
example: (1011.01) 2 = (1 × 2^3 ＋ 0 × 2 ^2 1 × 2^1 1 × 2^0 0 × 2^(-1) 1 × 2^(-2)) 10
= (8 0 2 1 0 0.25) 10
= (11.25) 10
rules: The number of numbers in the single digit is 0, and the number of numbers on the ten digits is 1, ......, the number of numbers of the ten
of the ten
The number of numbers on the percentage is -2, ......, decreased in order.
Note: Not any decimal decimal can be converted into a limited binary number.
(2) Twitter turns binary
· Ten -made integer to turn binary number: "Except for 2 remaining, arranged in counter sequence" (except for two extrai removal methods)
example: (89) 10 = ((89) 10 = ( 1011001) 2
2 89 ... 1
2 44 ... 0
22 ... 0
2 11 ... 1
5 ... 1
2 ... 0
1
· decimal decimal turning binary number: "multiplied by 2 to complete, sequential arrangement" (multiplied by 2 reorganization method)
example: (0.625 ) 10 = (0.101) 2
0.625x2 = 1.25 ... 1
0.25 x2 = 0.50 ... 0
0.50 x2 = 1.00 ... 1
2 2. Conversion of octagonal and binary:
The binary numbers convert to octagonal numbers: starting from the decimal point, the integer part is to the left and the decimal part to the right. To make up 3 digits with "0", get an octagonal number.
The octa -in number is converted into binary numbers: converting each octal number into a three -bit binary number, and a binary number is obtained.
The corresponding relationship between the octa -in number and binary number is as follows:
000-> 0 100-> 4
001-> 5
010-> 2 110-> 6
011-> 3 111-> 7
Ev.: Convert the octagonal 37.416 to binary numbers:
3 7. 4 1 6
011 111. 100 001 110
, that is: (37.416) 8 = (11111.10000111) 2
, for example: Convert the binary 10110.0011 to an octa -in -the -forward:
0 1 0 1 0 0 0 0 0
2 6.1 4
is: (10110.011) 2 = (26.14) 8
. Conversion of hexadecimal and binary:
The binary numbers convert to hexadecimal numbers: starting from the decimal point, the integer part is left to the left, and the decimal part is to the right. The number of numbers indicates that less than 4 places must be supplemented by "0" to get a hexadecimal number.
The hexadecimal number is converted into binary numbers: converting each hexadecimal number into a 4 -bit binary number, a binary number is obtained.
The corresponding relationship between the hexadecimal numbers and binary numbers is as follows:
0000-> 0100-> 4 1000-> 8 1100-> C
0001-> 1 0101-> 5 1001 -> 9 1101 -> d
0010-> 2 0110-> 6 1010-> A 1110 -> E
0011-> 3 0111-> 7 1011-> B 1111-> F
example: transform the hexadecimal number 5df.9 to binary:
5 d f. 9
0101 1101 1111. 1001
, that is: (5df.9) 16 = (. 1001) 2
Cases: Convert binary number 1100001.111 to hexadecimal:
0110 0001. 1110
6 1. E
, that is: (1100001.111) 2 = (61.E) 16
[Edit this paragraph] Binary characteristics

Reliable, less component;
has only two digital 0 and 1, so each digit can be represented by any components with two different stable states;
convenient.

Disadvantages

Is when using binary to indicate a number, the number is more. Therefore, in the actual use, the decimal is used before sending the digital system, and then the machine is sent to the machine and then converted into binary numbers to allow the digital system to perform operations. After the operation is over, the binary is converted to decimal to read.
[Edit this paragraph] Leibnitz and binary n. The famous manuscript of the Guo Tower Palace Library (ZU GOTHA) in Germany's famous Guo Tower Palace Library (ZU GOTHA) preserved a precious manuscript, the title: " 1 and 0, all the magical origins of numbers. This is a model of the secret of the creation, because everything comes from God. "This is the handwriting of the German genius master Gottfried Wilhelm Leibniz (1646-1716). However, about this magical and wonderful digital system, Leibnitz has only a few pages of abnormal refining descriptions.
Leibnitz not only invented binary, but also gave it the connotation of religion. He wrote to a letter from the French Jesus Association Joachim Bouvet (1662-1732), a pastor of the French Jesus Association in China at the time: "The first day was 1, which is God. ... On the seventh day, everything is available. Therefore, the last day is also the most perfect. Because everything in the world has been created at this time. Therefore, it was written '7', that is, '111' (111 in binary is equal to the decimal 7), and it does not include 0. Only when we only use 0 and 1 to express this number, we can understand why the seventh day is the most perfect, why 7 is a sacred number. It is worth noting that it is worth noting that it is noteworthy. It is the relationship between its (seventh day) characteristics (writing binary 111) and the trinity. "
Bavi is a sin masterpiece. His introduction to China is the most important in the Chinese academic community in the 17th and 18th centuries. One of the reasons. Bavi is a good friend of Leibniz, and has always maintained frequently with him. Leibnitz translated many articles into German and published it. It is precisely the system of "Zhouyi" and gossip to Libnitz to Leibnitz, and explains the authority of "Zhou Yi" in Chinese culture.
I gossip is a divination system composed of eight symbol groups, and these symbols are divided into two types: continuous and intermittent horizontal lines. These two symbols, which were later known as "Yin" and "Yang", were in the eyes of Leibnitz, his binary Chinese replica. He felt that the relationship between this symbol system from ancient Chinese culture and his binary is too obvious, so it asserts that binary is the world's universal and most perfect logical language.
. The other person who may cause Libnitz's interest in gossip is Wilhelm Ernst Tentzel. one. There is a coin printed with gossip symbols in this coin collection in charge of his supervisor.
[Edit this paragraph] The reason for the use of binary inside the computer
(1) The technology is simple to implement. The computer is composed of a logical circuit. The logic circuit usually has only two states. The two states can be represented by "1" and "0".
(2) Simplifying the calculation rules: There are three types of binary numbers and accumulation calculation combinations. The computing rules are simple, which is conducive to simplifying the internal structure of the computer and improving the operation speed.
(3) Suitable for logical operations: Logical algebra is the theoretical basis for logical operations. The binary has only two digits, which is exactly in line with the "true" and "fake" in the logical algebra.
(4) It is easy to convert, and the number of binary and decimal systems is easy to convert each other.
(5) The use of binary representations has the advantages of strong anti -interference ability and high reliability. Because each data has only two states, when it is disturbed to a certain extent, it can still reliably distinguish whether it is high or low.
[Edit this paragraph] Process database binary data
I sometimes uses images or other binary data when using the database. At this time, you must use the Getchunk method Objects, we can also use the data into the table.
Is we usually use data to use it like this!
getdata = RS ("Fieldname")
and the binary need to be used.
size = rs ("fieldname").
getdata = RS ("Fieldname"). Getchunk (size)
, Then get it, this seems to be a common method for processing binary data in ASP. When we get all the data from the client, we also use this method. Let ’s also see how to add binary data to the database
RS (“ ““ “Fieldname”).
In one step!
nThe example of demonstrating data below!
addsize = 2
totalSize = RS ("Fieldname"). ) .getchunk (offsize)
data = data