4. [ 30 points] Suppose you have a byte-addressable virtual address memory system with 8 virtual pages of 64 bytes each, and 4 page frames. Assuming the following page table, answer the questions below:
a) [2 points] How many bits are in a virtual address?
b) [2 points] How many bits are in a physical address?
c) [2 points] How many bits are virtual page number?
d) [2 points] How many bits are page frame number?
e) [2 points] How many bits are page offset?
f) [20 points] What physical address corresponds to the following virtual addresses (if the address causes a page fault, simply indicate this is the case)?
1) 0 × 00
2) 0 x 44
3) 0 × C2
4) 0 × 80
Please answer all parts in full