The push operation on a stack adds a new element at the top. First, a new node is created with the given value. If the stack is empty, the new node's next pointer is set to NULL. Otherwise, it points to the current top node. Then, the top pointer is updated to this new node, making it the new top of the stack. This process repeats for each push, growing the stack by linking new nodes at the front. The execution table shows each step, including pointer changes and the visual linked list state. The variable tracker follows the top pointer and newNode across steps. Key moments clarify why newNode->next is set before updating top, how empty stack is handled, and how the visual state reflects stack growth. The visual quiz tests understanding of pointer updates and stack state changes during push operations.