binary-coded decimal notation

简明释义

二十进制记数法

英英释义

例句

1.In computer systems, binary-coded decimal notation is often used for financial calculations.

在计算机系统中，二进制编码十进制表示法常用于金融计算。

2.Many digital watches use binary-coded decimal notation to keep track of time.

许多数字手表使用二进制编码十进制表示法来跟踪时间。

3.The calculator uses binary-coded decimal notation to display results accurately.

计算器使用二进制编码十进制表示法来准确显示结果。

4.When programming embedded systems, understanding binary-coded decimal notation can be crucial.

在编程嵌入式系统时，理解二进制编码十进制表示法可能至关重要。

5.The binary-coded decimal notation allows for precise representation of decimal numbers in binary form.

二进制编码十进制表示法允许精确地以二进制形式表示十进制数字。

作文

In the realm of computer science and digital electronics, understanding various number representation systems is crucial. One such system is the binary-coded decimal notation, commonly referred to as BCD. This method of representing numbers allows for a more intuitive way of handling decimal digits in binary form. Unlike pure binary systems, which can be complex when dealing with decimal numbers, binary-coded decimal notation simplifies this process by encoding each decimal digit separately in its binary equivalent.To delve deeper, let’s first understand what BCD actually entails. In binary-coded decimal notation, each digit of a decimal number is represented by its own binary sequence. For example, the decimal number 45 would be represented as 0100 0101 in BCD, where '4' is represented as 0100 and '5' as 0101. This representation makes it easier for computers to perform arithmetic operations while retaining the decimal format, which is often more familiar and user-friendly for human operators.One of the significant advantages of using binary-coded decimal notation is its ability to facilitate easier conversion between binary and decimal systems. This is particularly important in applications where precision is key, such as financial calculations. When we use traditional binary representation, a decimal number like 0.1 cannot be precisely represented, leading to rounding errors. However, with BCD, we can represent the decimal number 0.1 accurately by encoding it in binary directly.However, BCD is not without its drawbacks. One of the main criticisms is that it is less efficient in terms of storage compared to pure binary representation. Since each decimal digit requires four bits in BCD, this can lead to increased memory usage. For instance, the number 9999 in decimal would require 40 bits in BCD (as each digit takes 4 bits), while the same number would only require 14 bits in binary. This inefficiency can be a significant factor in systems where memory and processing power are limited.Despite these limitations, binary-coded decimal notation remains widely used in specific applications, especially in financial and commercial systems where accurate decimal representation is paramount. Many calculators and digital watches utilize BCD for their ease of use and accuracy in displaying decimal numbers. Moreover, BCD is also employed in certain microcontrollers and digital signal processors, where maintaining decimal accuracy is critical.In conclusion, binary-coded decimal notation plays a vital role in bridging the gap between human-readable decimal numbers and machine-readable binary formats. Its ability to represent each decimal digit individually makes it an excellent choice for applications requiring high precision. While it may have some inefficiencies compared to pure binary systems, the benefits of accuracy and ease of conversion make BCD a valuable tool in the world of computing. As technology continues to advance, understanding systems like binary-coded decimal notation will remain essential for anyone involved in computer science or digital electronics, ensuring that we can effectively manage numerical data in its most usable forms.

在计算机科学和数字电子学领域，理解各种数字表示系统至关重要。其中一种系统是二进制编码十进制表示法，通常称为BCD。这种表示数字的方法使得以二进制形式处理十进制数字变得更加直观。与纯二进制系统不同，处理十进制数字时可能会变得复杂，二进制编码十进制表示法通过单独对每个十进制数字进行编码，简化了这一过程。为了深入了解，让我们首先理解BCD的实际含义。在二进制编码十进制表示法中，十进制数字的每一位都由其二进制序列表示。例如，十进制数字45将被表示为0100 0101，其中'4'表示为0100，'5'表示为0101。这种表示法使计算机在保留十进制格式的同时，更容易执行算术运算，这对于人类操作员来说往往更加熟悉和友好。使用二进制编码十进制表示法的一个显著优点是它能够更容易地在二进制和十进制系统之间进行转换。这在精度至关重要的应用中尤其重要，例如财务计算。当我们使用传统的二进制表示时，像0.1这样的十进制数字无法被精确表示，从而导致舍入错误。然而，通过BCD，我们可以通过直接在二进制中编码来准确地表示十进制数字0.1。然而，BCD并非没有缺点。主要的批评之一是，与纯二进制表示相比，它在存储方面的效率较低。由于每个十进制数字在BCD中需要四位，因此这可能导致内存使用量增加。例如，十进制数字9999在BCD中将需要40位（因为每个数字占4位），而同一个数字在二进制中只需要14位。这种低效率在内存和处理能力有限的系统中可能是一个重要因素。尽管存在这些限制，二进制编码十进制表示法仍然广泛用于特定应用，尤其是在财务和商业系统中，其中准确的十进制表示至关重要。许多计算器和数字手表利用BCD，因为它在显示十进制数字时易于使用且准确。此外，BCD还被某些微控制器和数字信号处理器采用，在这些系统中，保持十进制的准确性至关重要。总之，二进制编码十进制表示法在弥合人类可读的十进制数字与机器可读的二进制格式之间发挥着至关重要的作用。它能够单独表示每个十进制数字，使其成为需要高精度的应用的绝佳选择。虽然与纯二进制系统相比，它可能存在一些低效率，但准确性和转换便利性的优势使BCD成为计算机世界中的宝贵工具。随着技术的不断进步，理解像二进制编码十进制表示法这样的系统将对任何参与计算机科学或数字电子学的人保持至关重要，确保我们能够有效管理其最可用形式的数值数据。