Conversion of decimals between binary decimal systems (2)

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How to convert decimals between binary decimals

Convert decimal fractions to binary:

The decimal part is multiplied by 2, and the integer part is taken from left to right and placed after the decimal point, until the decimal point is 0.

eg 1: Infinite loop is never 0 after the decimal point

	Decimal	Binary
	0.1	0.
Decimal place*2	0.2	0	Integer bit is 0
	0.4	0
	0.8	0
Decimal place*2	1.6	1	Integer bit is 1
Decimal place*2	1.2	1
	0.4	0
	0.8	0
	1.6	1
	1.2	1
	0.4	0
	…	…
	0.1 =	0.0001100110

eg 2: 0 after the decimal point

	Decimal	Binary
	0.125	0.
	0.25	0
	0.5	0
	1.0	1	After the decimal point is 0, the calculation is terminated
	0.125 =	0.001

Perform binary to decimal conversion.

The conversion of binary decimals to decimals is mainly to multiply by the negative power of 2. Starting from the decimal point, multiply by the negative power of 2, the negative power of 2, and the negative power of 2.
eg:

	Binary	Decimal
	0.001	0.
First place*1/2	0*1/2	0	+
Second place*1/4	0*1/4	0	+
Third place*1/8	1*1/8	125
	0.001 =	0.125

Online base conversion

支持在2~36进制之间进行任意转换，支持浮点型
https://tool.oschina.net/hexconvert/

You can try it yourself and compare the results with tools

If you want to try positive and negative conversion, you can read the following article

Hexadecimal to decimal binary conversion process (same positive and negative) (1)