Computer systems can generally be categorized into laptops, tablets, desktops, servers, smartphones, game consoles, and embedded systems. Laptops and tablets are portable but less powerful than desktops due to smaller components. Desktops have more processing power because components are larger and separated. Servers manage network requests and capabilities depend on network size. Smartphones are slower than tablets due to smaller hardware but have mobile network access. Game consoles are designed for gaming while embedded systems control everyday devices.