Assume that a Page Directory Entry $($PDE$)$ and a Page Table Entry $($PTE$)$ each has a size of $4$ bytes. How much memory did the OS save by employing a multi$-$level page table instead of a linear one?

By "save" here we mean the difference in memory needed to save a linear page table vs$.$ a multi$-$level page table.

Group of answer choices

No memory saved: the linear page table and the multi$-$level page table have the same size

$976$ bytes

$880$ bytes

$256$ bytes

$832$ bytes