2、 Eight, ten and hexadecimal conversion

Catalog

1. Binary data is used 0 and 1 A number represented by two numbers , Its cardinality is 2, The carry rule is two into one

2.“ octal ”,Octal, abbreviation OCT or O, A kind of 8 The counting method of base number , use 0,1,2,3,4,5,6,7 Eight numbers , Every eight advances 1

3.“ Hexadecimal “（ Shorthand for hex Subscript or subscript 16） It is a kind of meeting in mathematics 16 Into the 1 Carry system . Generally, numbers are used 0 To 9 And letters A To F（ or a~f） Express , among :A~F Express 10~15, These are called hexadecimal numbers .”

4. Decimal numbers use 0、1、2、3.........9 , These ten numbers represent . Decimal system （ Counting method ） In order to 10 Based digital system , It is the most widely used carry system in the world .

Hexadecimal conversion

Decimal conversion binary

  Hexadecimal 、 Octal conversion binary , It's just repeatedly dividing 8/16 that will do

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1. Binary data is used 0 and 1 A number represented by two numbers , Its cardinality is 2, The carry rule is two into one

Binary to decimal

As shown in the figure below ：

2.“ octal ”,Octal, abbreviation OCT or O, A kind of 8 The counting method of base number , use 0,1,2,3,4,5,6,7 Eight numbers , Every eight advances 1

Binary to decimal

give an example ：

3.“ Hexadecimal “（ Shorthand for hex Subscript or subscript 16） It is a kind of meeting in mathematics 16 Into the 1 Carry system . Generally, numbers are used 0 To 9 And letters A To F（ or a~f） Express , among :A~F Express 10~15, These are called hexadecimal numbers .”

Hexadecimal to decimal

give an example ：

4. Decimal numbers use 0、1、2、3.........9 , These ten numbers represent . Decimal system （ Counting method ） In order to 10 Based digital system , It is the most widely used carry system in the world .

Hexadecimal conversion

Decimal conversion binary

Right column is remainder  

 1. First use 2 Divide a decimal integer , Get a quotient and remainder
2. And then use 2 Remove the resulting quotient , And you get a quotient and a remainder
3. Repeat , Until the quotient is zero
4. Then arrange all the remainder obtained , And turn it around （ In reverse order ）, Remember to do the opposite ！

  Hexadecimal 、 Octal conversion binary , It's just repeatedly dividing 8/16 that will do