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

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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

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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 $2*2^{30} / 2^3*2^{10}= 2^{18}$
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