1. This problem concerns paging (no virtual memory). Assume a machine has a 30-bit logical address space and is byte-addressable. The physical address space is 31 bits and the page size is 1K bytes. Give the best answer to each of the following that you can. If you need to make additional assumptions to give an answer, state the assumptions you are making. If the answer is a power of 2, leave it in exponential form. a) How many frames of physical memory are possible? b) How many bits of the logical address space are needed for the page number? c) How many bits of the logical address space are used for the page offset? d) How many bits of the physical address are used for the frame number? e) How many bits of the physical address are used for the frame offset? f) How many bits would be needed for a page table entry? g) How many bytes would be needed for a page table for one process