Suppose we have a memory system with a virtual address space of $8192$ bytes and physical

memory of $8-$page frames where each page is $32$ bytes in length:

a$)$How many bits does each virtual address have? Show your work.

b$)$ How many bits does each physical address have? Show your work.

c$)$ Each virtual address is divided into two fields: the page field and the offset field. How

many bits are allocated for the page field and how many bits are allocated for the offset

field? Show your work.