What is the primary advantage of the hexadecimal number system over the binary system?

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The primary advantage of the hexadecimal number system over the binary system is that it uses fewer digits to represent numbers. In hexadecimal, each digit can represent 16 different values (0-9 and A-F), which allows for compact representation of binary data. For example, the binary number 1111 can be represented as F in hexadecimal, significantly reducing the number of digits needed to express the same value. This compactness is particularly useful in computing and digital electronics, where larger binary numbers can be simplified for easier reading and processing, making it more efficient for programming, memory addressing, and data storage.

In contrast, while all number systems share the same radix of 2 in binary, this does not provide an advantage of representation efficiency. The option stating that more bits are required to represent a numerical value is contrary to the nature of hexadecimal representation, as it aims to minimize the bit count. Lastly, the aspect of presenting less chance of error is not inherently linked to the number system being used, but rather to the context of how numbers are processed and utilized within a system. The advantage lies specifically in the efficiency and compactness of representation in the hexadecimal system.

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