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The octal number system - definition

The Eight Number System, also known as the octal system, is a positional number system based on base 8. It uses the digits 0 to 7, with each number position representing successive powers of the number eight, counting from right to left. Each digit in this system therefore has a value depending on its position and corresponds to the product of that digit and the corresponding power of the base.

The octal system is mainly used in computer science and electronics, especially in the context of representing binary data. This is due to the fact that one octal digit corresponds to exactly three binary digits, which simplifies conversion between systems and makes it easier to read and write binary values. Prior to the prevalence of the hexadecimal system, the octal system was widely used in computer systems, especially in architectures with machine words of a length that was a multiple of three bits.

The representation of a value in the octal system is often denoted by a special prefix or conventional notation, e.g. by preceding the number with the digit '0' in programming languages such as C or Python (for older versions), or by denoting the base index. Because of its structure and clarity, the octal system is also used in the encoding of file access permissions on Unix systems, where each digit represents a set of three bits corresponding to particular rights (read, write, execute).

In computing and technical applications, the octal system acts as an intermediate between binary and decimal notation, offering a compromise between human readability and ease of processing by digital circuits. Its historical importance and compatibility with the architecture of many older computer systems mean that it is still sometimes used in some areas of low-level programming and hardware documentation.

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