3. Assume a system with 32-bit virtual addresses, total physical memory of 1GB, and page size of 64KB. Each page table entry (PTE) contains a virtual page number (VPN). physical page number (PPN) and one bit each for v/d/ref/read/w/x. Assume a 3-level forward page table. Here, the 16-bit VPN is divided into three fields: the most significant 4 bits are used to index the first-level page table, the next 4 bits are used to index the second-level page table, and the remaining 8 bits are used to index the third-level page table. Assume a program has been running for a while, and it is accessing memory in the heap, stack and code segments as follows (assume all virtual addresses within the bounds shown are being accessed) Code segment: 0x00000000 to 0x00001000 Stack segment: 0x10000000 to 0x100100FO Heap segment: 0x20000000 to 0x320100A0 For the heap segment only, compute the following: The heap segment occupies total entries in the first level page table. The heap segment occupies total entries in all second level page tables. The heap segment occupies total entries in all third level page tables. 3. Assume a system with 32-bit virtual addresses, total physical memory of 1GB, and page size of 64KB. Each page table entry (PTE) contains a virtual page number (VPN). physical page number (PPN) and one bit each for v/d/ref/read/w/x. Assume a 3-level forward page table. Here, the 16-bit VPN is divided into three fields: the most significant 4 bits are used to index the first-level page table, the next 4 bits are used to index the second-level page table, and the remaining 8 bits are used to index the third-level page table. Assume a program has been running for a while, and it is accessing memory in the heap, stack and code segments as follows (assume all virtual addresses within the bounds shown are being accessed) Code segment: 0x00000000 to 0x00001000 Stack segment: 0x10000000 to 0x100100FO Heap segment: 0x20000000 to 0x320100A0 For the heap segment only, compute the following: The heap segment occupies total entries in the first level page table. The heap segment occupies total entries in all second level page tables. The heap segment occupies total entries in all third level page tables