5. A multi-level flash memory is designed to have 16 levels, say from 0 through 15, to store data. This means that each level represents a four bit data. The error nature of this memory can be modeled as follows: A stored digit at level i can stay at this level with probability (1-p), may change to (i-1) (mod 16) with probability p/2, or may change to (i +1) (mod 16) with probabilty p/2. Find the capacity of this memory channel 5. A multi-level flash memory is designed to have 16 levels, say from 0 through 15, to store data. This means that each level represents a four bit data. The error nature of this memory can be modeled as follows: A stored digit at level i can stay at this level with probability (1-p), may change to (i-1) (mod 16) with probability p/2, or may change to (i +1) (mod 16) with probabilty p/2. Find the capacity of this memory channel