In the field of computer science, the original code is a very intuitive representation method of binary numbers. It uses the highest bit to represent the sign bit, and the remaining bits are used to represent the original absolute value of the value. Understanding the original code is the basis for mastering computer data storage and operations. It is directly related to the concepts of inverse code and complement code that will be learned later, and is of great significance to both programming and hardware design. Although the original code is relatively simple to express, there are some limitations in actual calculations. We need to understand its characteristics and application scenarios in depth.
How is the original code represented in the computer?
The highest bit of a signed integer is the sign bit. In this sign bit, 0 represents a positive number and 1 represents a negative number. The remaining bits are used to represent the absolute value of the number. The expression rules of the original code are so straightforward. For example, in the case of 8-bit binary, the original code of "+5" is 00000101, and the original code of "-5" is 10000101. This representation is in line with human intuition and is easy for people to understand and convert. However, when performing addition and subtraction operations in a computer, the original code requires additional circuitry to determine the sign bit, which increases the complexity of the hardware.
What are the problems with original code operations?
When adding operations, the original code representation is relatively simple. However, once subtraction is encountered, or when positive and negative numbers are added, problems will arise. For example, to calculate (+1) + (-1), the original code representation is 00000001 plus 10000001. The result is 10000010, which is -2. This is obviously wrong. This is because the sign bit of the original code cannot directly participate in the operation. Computer systems generally use complement codes to represent signed integers, precisely because complement codes can unify addition and subtraction operations, thereby avoiding such defects of the original code. This is like. Just as Chinese scientists have solved a 140-year-old problem , they have found better solutions through innovative thinking.
Scenarios of original code in actual application
Although the original code has limitations in calculations, it still plays a role in certain specific scenarios. Regarding the representation of floating-point numbers, frame codes are often used in the exponent code, and frame codes are closely related to the original code. In addition, in some situations that do not require complex operations, such as device status registers, flag bit settings, etc., the intuitive nature of the original code makes it still useful. Understanding the original code is also helpful for us to better understand the underlying principles of computers, just like understanding. Just as how harmful the space debris that hit Shen-20 requires professional knowledge, mastering the original code is the basis for in-depth computer science.
When you are learning programming, have you ever been troubled by the differences between original code, inverse code and complement code? Welcome to post your learning insights in the comment area. If you find this article helpful, please like it and share it with more friends!
