how many entries will be there in the page table if it is inverted?

Question

In a 64 bit machine,with 2GB RAM and 8KB page size,how many entries will be there in the page table if it is inverted?

a)2¹⁸

b)2²⁰

c)2³³

d)2⁵¹

Answer 1

The answer is $2^{18}$ (option a) . The number of entries in page table of an inverted page table is equal to number of frames in the main memory. which will be $2*2^{30} / 2^3*2^{10}= 2^{18}$