Q28

The size of the physical address space of a processor is $2^{32}$ bytes. The capacity of a cache memory unit is $2^{23}$ bytes. The cache block size is $128$ bytes. The cache memory unit can be built as a direct mapped cache or as a $K$-way set-associative cache, where $K=2^{L}$ and $L \in\{1,2,3\}$. Let the length of the TAG field be $M$ bits for the direct mapped cache, and $N$ bits for the set-associative cache. Which one of the following options is true?