2024年3月22日发(作者：亢怀)
四年级下册数学阅读笔记二级制与十进制的转化方法
Converting between binary and decimal numbers can seem daunting
at first, but with practice and a solid understanding of the
fundamentals, it becomes more manageable. 转换二进制和十进制数字
一开始可能会让人望而生畏，但通过实践和对基础知识的扎实理解，这变得
更加可控。
Binary numbers are a system in which each digit is either 0 or 1,
representing the absence or presence of a certain quantity. 二进制数
字是一种系统，其中每个数字要么是0，要么是1，代表着某个数量的缺席
或存在。
When converting between binary and decimal numbers, it is essential
to understand the positional values of each digit in both systems. 转
换二进制和十进制数字时，重要的是要理解两个系统中每个数字的位置值。
In decimal form, each digit's positional value is a power of 10,
starting from 0 on the rightmost side. 在十进制形式中，每个数字的位
置值都是10的幂次方，从最右边的0开始。
Similarly, in binary form, each digit's positional value is a power of 2,
starting from 0 on the rightmost side. 同样，在二进制形式中，每个数
字的位置值都是2的幂次方，从最右边的0开始。
To convert a binary number to decimal, you can follow a simple
process of multiplying each digit by 2 raised to its positional value
and adding the results. 要将一个二进制数转换为十进制，您可以按照简
单的过程，将每个数字乘以2的幂次方，然后将结果相加。
Conversely, to convert a decimal number to binary, you can use a
method called repeated division by 2. 相反，要将一个十进制数转换为
二进制，您可以使用一种称为重复除以2的方法。
In this method, you repeatedly divide the decimal number by 2 and
note down the remainder at each step. 在这种方法中，您反复将十进制
数除以2，并在每一步记录余数。
The remainders, when read from bottom to top, give you the binary
equivalent of the decimal number. 当从下到上阅读余数时，将得到十进
制数的二进制等价物。
Practice and repetition are key in mastering the conversion between
binary and decimal numbers. 实践和重复对于掌握二进制和十进制数字之
间的转换至关重要。
Understanding the underlying principles and patterns will help you
become more proficient in these conversions over time. 理解基本原理
和模式将帮助您随着时间的推移更加熟练地进行这些转换。
Moreover, exploring real-world applications of binary and decimal
numbers, such as in computer systems, can enhance your
understanding and interest in the topic. 此外，探索二进制和十进制数
字在计算机系统等实际应用中的应用，可以增强您对这一主题的理解和兴趣。
2024年3月22日发(作者：亢怀)
四年级下册数学阅读笔记二级制与十进制的转化方法
Converting between binary and decimal numbers can seem daunting
at first, but with practice and a solid understanding of the
fundamentals, it becomes more manageable. 转换二进制和十进制数字
一开始可能会让人望而生畏，但通过实践和对基础知识的扎实理解，这变得
更加可控。
Binary numbers are a system in which each digit is either 0 or 1,
representing the absence or presence of a certain quantity. 二进制数
字是一种系统，其中每个数字要么是0，要么是1，代表着某个数量的缺席
或存在。
When converting between binary and decimal numbers, it is essential
to understand the positional values of each digit in both systems. 转
换二进制和十进制数字时，重要的是要理解两个系统中每个数字的位置值。
In decimal form, each digit's positional value is a power of 10,
starting from 0 on the rightmost side. 在十进制形式中，每个数字的位
置值都是10的幂次方，从最右边的0开始。
Similarly, in binary form, each digit's positional value is a power of 2,
starting from 0 on the rightmost side. 同样，在二进制形式中，每个数
字的位置值都是2的幂次方，从最右边的0开始。
To convert a binary number to decimal, you can follow a simple
process of multiplying each digit by 2 raised to its positional value
and adding the results. 要将一个二进制数转换为十进制，您可以按照简
单的过程，将每个数字乘以2的幂次方，然后将结果相加。
Conversely, to convert a decimal number to binary, you can use a
method called repeated division by 2. 相反，要将一个十进制数转换为
二进制，您可以使用一种称为重复除以2的方法。
In this method, you repeatedly divide the decimal number by 2 and
note down the remainder at each step. 在这种方法中，您反复将十进制
数除以2，并在每一步记录余数。
The remainders, when read from bottom to top, give you the binary
equivalent of the decimal number. 当从下到上阅读余数时，将得到十进
制数的二进制等价物。
Practice and repetition are key in mastering the conversion between
binary and decimal numbers. 实践和重复对于掌握二进制和十进制数字之
间的转换至关重要。
Understanding the underlying principles and patterns will help you
become more proficient in these conversions over time. 理解基本原理
和模式将帮助您随着时间的推移更加熟练地进行这些转换。
Moreover, exploring real-world applications of binary and decimal
numbers, such as in computer systems, can enhance your
understanding and interest in the topic. 此外，探索二进制和十进制数
字在计算机系统等实际应用中的应用，可以增强您对这一主题的理解和兴趣。