Why use Dex instead of Cex?

Could you elaborate on the benefits of using a decentralized exchange (DEX) over a centralized exchange (CEX) in the world of cryptocurrency? Are there specific advantages that DEXs offer, such as enhanced security, greater control over assets, or reduced fees? How do these factors compare to the experience of trading on a CEX, and what are some of the potential drawbacks of choosing a DEX over a CEX? Additionally, could you provide some real-world examples of popular DEXs and how they differ from CEXs in practice?