I would tackle this as a problem of estimation and make a few assumptions. First, we need to consider the different types of brain activity that could be classified as 'information.' This may include conscious thinking, learning, and sensory experiences. If we assume that every piece of information we perceive—such as visual inputs, sounds, and tactile feelings—is stored and encoded in our brains over the course of a day, we could end up with a substantial amount of data, potentially reaching Petabytes (1 Petabyte equals 1 million Gigabytes). However, since not all information we encounter daily is retained in memory, it becomes challenging to accurately assess how much storage this would represent. Nevertheless, even if we underestimate and suggest that only a small portion of this information constitutes a day's worth of memory, we could still be looking at hundreds of Terabytes, at the very least.