Given 256 GB of physical memory, a 2-way set associative cache that is 128 KB in size with a block offset of 4 bits, answer the following:

1.g. How many bits required for the tag?

1.h. How many bytes of memory are required to store the valid bit in this cache?

1.i. How many bytes of memory are required to store the tag bits in this cache?

1.j. How many bytes of memory are required to physically build this cache?