Future computing systems are expected to exploit our improved understanding of the brain through leveraging similar computational principles. In this way, Neuromorphic computing has shown the potential for breakthroughs in machine intelligence. The main goal of this tutorial is to dive deep into the rapidly developing field of Neuromorphic Computing and AI and cover its cross-layer design challenges from device to algorithms. The IEEE EDS Tutorial on Neuromorphic Computing (TNC 2022) offers three talks and tutorials by leading researchers from multiple disciplines and prominent universities and promotes student presentations (posters) to demonstrate new research and results, discuss the potential and challenges of the Neuromorphic Computing Devices, future research needs, and directions, and shape collaborations.  Check the tutorial webpage at: