ten's complement

简明释义

十进制码

英英释义

例句

1.The ten's complement of 27 is 73, as 100 - 27 equals 73.

27的十补数是73，因为100 - 27等于73。

2.When performing subtraction in base 10, using the ten's complement can simplify the process.

在十进制中进行减法时，使用十补数可以简化过程。

3.To check your work, you can add the original number and its ten's complement to see if you get the base.

为了检查你的工作，你可以将原始数字和它的十补数相加，看看是否得到基数。

4.In digital electronics, the ten's complement is often used for arithmetic operations.

在数字电子学中，十补数常用于算术运算。

5.To find the ten's complement of a number, you subtract each digit from 9.

要找到一个数字的十补数，你需要从9中减去每个数字。

作文

The concept of ten's complement is an essential part of number representation in the field of mathematics and computer science. It allows us to perform subtraction operations using addition, which simplifies calculations, especially in binary systems. To understand ten's complement, we first need to grasp the basics of number systems. In decimal notation, every digit has a place value that is a power of ten. For example, in the number 345, the '3' is in the hundreds place, the '4' is in the tens place, and the '5' is in the ones place.When we talk about ten's complement, we are specifically referring to a method used to represent negative numbers. The ten's complement of a number is found by subtracting each digit from nine and then adding one to the least significant digit (the rightmost digit). For instance, to find the ten's complement of 345, we would subtract each digit from nine:- 9 - 3 = 6- 9 - 4 = 5- 9 - 5 = 4This gives us 654. Now, we add one to this result: 654 + 1 = 655. Therefore, the ten's complement of 345 is 655. This method provides a straightforward way to represent negative values in systems that rely on base ten.The significance of ten's complement becomes even clearer when we consider its application in digital electronics. Computers operate using binary numbers, and while the concept of ten's complement is typically associated with decimal numbers, a similar principle exists for binary systems called two's complement. However, understanding ten's complement helps bridge the gap between human-friendly decimal systems and machine-level binary systems.Moreover, the use of ten's complement can enhance computational efficiency. Instead of performing subtraction directly, which can be more complex, computers can leverage addition by utilizing ten's complement. This not only speeds up calculations but also reduces the potential for errors in arithmetic operations.In practical applications, ten's complement is often used in financial calculations, where it is necessary to account for negative balances or debts. By using this method, accountants and financial analysts can quickly assess the net worth of accounts, making it easier to manage finances and make informed decisions.In conclusion, the concept of ten's complement is a fundamental aspect of number representation that facilitates efficient calculations, particularly when dealing with negative numbers. Its relevance extends beyond theoretical mathematics into practical applications in finance and technology. Understanding ten's complement not only enhances our mathematical skills but also equips us with tools to navigate the complexities of modern computing and data analysis. As we continue to advance in these fields, the principles behind ten's complement will remain valuable assets in our mathematical toolkit.

“十补数”的概念是数学和计算机科学领域中数字表示的一个重要组成部分。它使我们能够使用加法进行减法运算，这简化了计算，特别是在二进制系统中。要理解“十补数”，我们首先需要掌握数字系统的基础知识。在十进制表示法中，每个数字都有一个以十为底的幂次方的位值。例如，在数字345中，'3'在百位，'4'在十位，'5'在个位。当我们谈论“十补数”时，我们特指一种用于表示负数的方法。“十补数”的计算方法是通过从九中减去每一位数字，然后在最右边的数字上加一来得到。例如，要找345的“十补数”，我们将每一位数字从九中减去：- 9 - 3 = 6- 9 - 4 = 5- 9 - 5 = 4这给我们提供了654。现在，我们将这个结果加一：654 + 1 = 655。因此，345的“十补数”是655。这种方法提供了一种简单的方式来在依赖于十进制的系统中表示负值。“十补数”的重要性在于其在数字电子学中的应用。计算机使用二进制数字进行操作，虽然“十补数”通常与十进制数字相关，但二进制系统中也存在类似的原理，称为“二补数”。然而，理解“十补数”有助于弥合人类友好的十进制系统与机器级别二进制系统之间的差距。此外，使用“十补数”可以提高计算效率。计算机可以利用“十补数”通过加法而不是直接进行减法，这样可以更快速地完成计算，并减少算术运算中的潜在错误。在实际应用中，“十补数”常用于财务计算，其中需要考虑负余额或债务。通过使用这种方法，会计师和财务分析师可以快速评估账户的净值，使得管理财务和做出明智决策变得更加容易。总之，“十补数”的概念是数字表示的一个基本方面，它促进了高效的计算，特别是在处理负数时。它的相关性超越了理论数学，延伸到财务和技术的实际应用中。理解“十补数”不仅提升了我们的数学技能，还为我们提供了应对现代计算和数据分析复杂性的工具。随着我们在这些领域的不断发展，“十补数”背后的原理将始终是我们数学工具箱中的宝贵资产。