Binary conversion problem

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One 、 Introduction to the system

For integers , There are four representations ：
Binary system ： 0, 1 , full 2 Into the 1. With 0b or 0B start .
Decimal system ： 0-9 , full 10 Into the 1.
octal ： 0-7 , full 8 Into the 1. In numbers 0 It begins with .
Hexadecimal ： 0-9 And A(10)-F(15) , full 16 Into the 1. With 0x or 0X It begins with

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Two 、 The conversion of Radix

1. Binary and decimal conversion

Binary to decimal

Convert decimal to binary

The rules ： Divide the number by 2 , Until Shang Wei 0 until , Then reverse the remainder of each step , It's the binary system .
Case study ： Please put 34 Convert to binary = 0B00100010

2. Binary and octal conversion

Binary to octal

The rules ： Starting from the low , Group binary numbers into three bits , Convert to the corresponding octal number .
Case study ： Please put ob11010101 Convert to octal
ob11010101 => 0325

Octal to binary

The rules ： Put the octal number every 1 position , Turn to the corresponding one 3 A binary number of bits .
Case study ： Please put 0237 Convert to binary
Be careful ：0 The beginning indicates octal
0237 = 0b10011111

3. Binary and hexadecimal conversion

Binary to hexadecimal

The rules ： Starting from the low , Set the binary numbers in groups of four , Convert to the corresponding hexadecimal number .
Case study ： Please put ob11010101 Convert to hex
ob1101(D)0101(5) = 0xD5

Hexadecimal to binary

The rules ： Put the hexadecimal number every 1 position , Convert to corresponding 4 A binary number of bits .
Case study ： Please put 0x23B Convert to binary
0x2(0010)3(0011)B(1011) = 0b001000111011