Explain a few of the different ways in which computers can be categorized
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Supercomputers - Not technically a single computer, but a room full of powerful servers linked together, which are used as a whole to crunch lots of numbers and perform complex calculations and simulations. They cost millions to build and thousands of dollars a day to run, and are usually rented by the hour to those who need access to huge amounts of computing power. Entering the server room at the largest of these usually requires hearing protection because of the fan noise.
Servers/mainframes - Powerful computers normally stored in racks and cabinets. They tend to have many CPU cores and lots of RAM, and are commonly run in a "headless" configuration, without a display or keyboard. They are often used to run websites and other networked systems. They form the backbone of the Internet as well as our financial and communications systems. They cost thousands of dollars a piece and tend to be heavy and noisy.
Desktop computers - Traditional desktops and workstations. Whether it's the cheap micro tower you use at work or a powerful multi-GPU workstation used for 3D modeling, these computers used to be the main way for the average person to do their work and access the Internet. Nowadays, they're mainly relegated to school computer labs, hardcore gamers, and the aforementioned workstations used by various professionals to create digital content. Prices range from several hundred to tens of thousands of dollars, and size, weight, and noise have a similar span.
Laptop computers - Basically any foldable, portable computer. In the mid-2000s, these supplanted desktops as the main mode of personal computing. Ranging in size from 11-inch netbooks to 18-inch gaming monstrosities, this category has been muddled in recent years by an influx of hybrid and 2-in-1 devices. They are normally battery-powered and less powerful than desktops, though they can still get quite powerful. Prices range from under a hundred to the thousands of dollars. Much smaller and quieter than the previous categories, with some weighing as little as two pounds.
Mobile computers - Tablets, smartphones, PDAs, smartwatches, basically any small computer with a touchscreen as the primary method of input. These devices have, in recent years, absolutely destroyed the PC and laptop markets and brought personal computing to the masses in a way nothing has before. With prices reaching into the dollars and rarely exceeding a couple thousand, they are cheap and accessible. They are also very small and light, and often silent. Few can match the power of even a mid-range laptop, but they're more than powerful enough for the general public.
Network devices/IoT - Routers, switches, and modems, as well as less mundane items such as smart home devices and ATMs. This is an old category which has been transformed in recent years by a sudden influx of networked "smart" devices. These devices tend to break the mold of what we traditionally consider a "computer", but they still contain a microprocessor at their core. Often running Linux, these computers sit behind the scenes, routing traffic and using the power of the Internet for a variety of purposes. In recent years, these devices have been put to work in everything from lightbulbs to refrigerators, but in the end, they're all just computers with an Internet connection.