7 Jan, 2023

If you're a systems programmer, chances are you're pretty familiar with hexadecimal numbers. They seem to pop up everywhere in the world of code, and they can be a little confusing if you're not used to working with them. But have you ever stopped to wonder why hexadecimal numbers are used so frequently in programming?

Well, wonder no more, because we're about to dive deep into the world of hexadecimal numbers and find out exactly why they are such an integral part of the world of code.

**TL;DR** Hexadecimal numbers are used in programming because they are more easily readable for humans and are more efficiently processed by computers. They are based on a base-16 numbering system and can therefore represent a wider range of numbers using fewer digits.

As you may or may not know, computers don't actually "use" hexadecimal numbers in the same way that we humans do. They don't sit there thinking to themselves, "Hmm, I think I'll use a hexadecimal number today." No, computers only understand the binary states of "on" and "off" or 1 and 0.

Hexadecimal numbers are much easier for humans to read and understand than binary numbers. If you've ever tried to read a long string of binary digits, you know how difficult it can be. Hexadecimal numbers, on the other hand, use a base-16 numbering system, which means that each digit can represent 16 different values (0-9 and A-F) and you can represent a much larger range of numbers using fewer digits. This makes it much easier for humans to read and understand what's going on. For example, the decimal number 255 can be represented using the hexadecimal number FF, which is much easier for humans to read and understand than the binary equivalent (11111111).

Hexadecimal numbers also happen to be much more efficient for computers to use and process. You see, computers are really good at working with powers of 2, and as it turns out, 16 (the base of the hexadecimal system) is a power of 2 (2 to the fourth power, to be exact). This means that computers can easily convert hexadecimal numbers into binary and vice versa, which makes it easier for them to process and manipulate data.

Hexadecimal numbers are often used to represent colors on the computer. You may have noticed that when you choose a color in a graphic design program, you are given a six-digit hexadecimal code (e.g. #FF0000 for red). This is because the hexadecimal system is particularly well-suited for representing colors, as it allows for a wide range of shades and tones to be represented using just a few digits.

Hexadecimal numbers are often used in programming languages to represent specific values or data types. If you're working with a data type that requires a specific number of bits, you might use hexadecimal numbers to represent that number of bits in a more concise and readable way.

In the C programming language, hexadecimal numbers are often used to specify constants (such as the value of pi) or to represent specific data types (such as unsigned integers). They are also commonly used in assembly language programming, where they can be used to specify memory addresses or to represent specific instructions.

When a computer stores data in memory, it assigns each byte a specific address, which is essentially a numerical label that tells the computer where the data is located in memory. These addresses are usually represented using hexadecimal numbers, as it allows for a larger range of addresses to be represented using fewer digits. This makes it easier for the computer to locate and retrieve specific pieces of data from memory. Assuming you want to retrieve data from the 7,000,501 th address in memory, good luck telling the computer that address in binary.

It's not just the practical benefits of hexadecimal numbers that make them so useful in programming and memory addressing. There are also a few more "fun" reasons why they are so beloved by programmers and computer geeks.

Hexadecimal numbers are just plain cool. There's something undeniably nerdy and awesome about being able to work with numbers that use letters as well as digits. It's a way to show off your knowledge and skills in a field that often values technical proficiency.

Hexadecimal numbers also have a certain aesthetic appeal. When written out, they can look almost like a secret code or a puzzle to be solved. This can be particularly appealing to those who enjoy the process of problem-solving and working with complex systems.

Indeed, hexadecimal numbers have become something of a cultural touchstone within the world of programming and computer science.

Thank you for reading,

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