Recent advancements in artificial intelligence (AI) have significantly expanded the scope of what computers can accomplish. With its myriad of successful applications, AI holds the potential to revolutionize our daily lives. However, this power also brings significant responsibility. As AI systems, models, and algorithms grow increasingly complex and opaque, there is a mounting interest in ensuring they benefit humans and society. As AI becomes more pervasive in our lives, so do the concerns surrounding its ethical use and impact. This chapter delves into the fundamental concepts of responsible artificial intelligence. The goal is to enhance the trustworthiness of AI algorithms, systems, and tools, ensuring they align with the best interests of both humans and society. We start by outlining the guiding principles that AI systems should adhere to, drawing primarily from EU reports and forthcoming regulations. Following that, we explore practical algorithmic approaches designed to foster responsible AI. Lastly, we offer an outlook on responsible AI, featuring insights and recommendations from leading experts in the field, along with our perspectives.