In class, we discussed the concept of "data sparsification". Imagine we have a system with 50,000 channels, each with 8 bits of data. We have two options for storing this data Store all the data we read out, regardless of the signal size. . Only store channels that exceed a predefined threshold, along with their address. (a) How many bits do I need to allocate for the address? (b) At what "occupancy" (percentage of channels exceeding threshold) does it take less space to store all the data (with no addresses) rather than the "sparsified" version? thank you! please be as detailed as possible