A machine has a memory of $256$ frames, with each frame being $4K(2^{12})$ bytes.

Current free$-$frame list is: $019,0C2,075,0E8,02F,00C,096,0DF,0E0,0D1,0C4,$ and $00A($this means hex notation$).$

You just scheduled a process that requires $10$ frames. Write the resulting page table. Show the translation of logical address $0$x$53$D$7$ and Ox$4$BAA into physical addresses using your page table.