A database system is a software application that allows users to create, manage, and manipulate data efficiently. It organizes data in a structured way, making it easy to retrieve and update information. Common types of database systems include relational databases, which use tables to store data, and NoSQL databases, which handle unstructured data. These systems are essential for various applications, from small businesses to large enterprises. They support tasks like data storage, data retrieval, and data analysis. Popular database management systems include MySQL, PostgreSQL, and MongoDB, each offering unique features to meet different needs.