On a simple paging system with 2^18 bytes of physical memory, 64 pages of logical address space, and a page size of 512 bytes:

a) How many bits are in a logical address?

b) How many bytes are in a page frame?

c) How many bits in the physical address specify the page frame?

d) How many entries are in the page table (how long is the page table)?

e) How many bits are needed to store all entry in the page table (how wide is the page table)?

Assume each page table entry contains a valid/invalid bit in addition to the page frame number.