I think you'd cease to be, as you. Maybe it would be akin to what Buddhist think happens to the "soul" after someone dies, and some part of you would be aware that something just happened; but you would not know you for you, you would not exist.
Oddly enough, my justification comes from Artificial Intelligence. Early on, artificial intelligence was cocksure computers would lead to human like intelligence, and rather easily and quickly. The reason this didn't happen is because researchers philosophically ignored experience and the World, and how this forms and creates intelligence. Once Hubert Dreyfus made everyone aware of this oversight, a shift was made and robotics and other interactive computers because the main focus of artificial intelligence... and since then, computers have gotten a lot smarter and more capable of not just learning, but what we would consider truly intelligence behavior.
Memory, and our World, are fundamental to who we are.