Enter Page Offset Values
Example Data Table
| Logical Address | Page Size | Page Number | Offset | Page Range |
|---|---|---|---|---|
| 4660 | 4096 bytes | 1 | 564 | 4096 to 8191 |
| 8195 | 4096 bytes | 2 | 3 | 8192 to 12287 |
| 65535 | 8192 bytes | 7 | 8191 | 57344 to 65535 |
| 0x1234 | 4 KB | 1 | 564 | 4096 to 8191 |
Formula Used
The calculator uses standard paging formulas. These formulas split a logical address into a page number and an offset.
Page Number = floor(Logical Address / Page Size)
Page Offset = Logical Address mod Page Size
Page Start = Page Number × Page Size
Page End = Page Start + Page Size - 1
Physical Address = Frame Number × Page Size + Offset
If the page size is a power of two, offset bits are found with this formula:
Offset Bits = log2(Page Size)
How to Use This Calculator
Enter the logical address first. Select whether the address is decimal, hexadecimal, or binary. Enter the page size and choose the unit. Add the address width if you want an estimate of total pages in the address space. Choose zero based or one based display for page numbering. Add a frame number only when you also want a physical address estimate. Press the calculate button. The result will appear above the form and below the header. Use the CSV or PDF button to save the result.
Page Offset Calculation Guide
What Page Offset Means
A page offset is the exact position of a byte inside a memory page. It is used in virtual memory systems. The address is divided into two main parts. One part identifies the page. The other part identifies the byte inside that page. This second part is the offset.
Why It Matters
Paging helps systems manage memory in fixed size blocks. Each block is called a page. When a program uses a logical address, the operating system must translate it. The page number helps locate the correct page entry. The offset stays the same during translation. This makes paging fast and structured.
Address Bases
Students often see addresses in decimal, hexadecimal, and binary forms. This calculator accepts all three. Decimal is easy for arithmetic. Hexadecimal is common in debugging. Binary shows how bits are split. When the page size is a power of two, the lower bits directly represent the offset.
Using Page Size
Page size controls the offset range. A 4096 byte page has offsets from 0 to 4095. Address 4660 with a 4096 byte page gives page number 1 and offset 564. The first page covers 0 to 4095. The second page covers 4096 to 8191.
Advanced Use
You can also enter a frame number. The calculator then estimates a physical address. This is useful when learning page tables. The frame replaces the virtual page number. The offset is added to the frame base. This mirrors the basic idea behind address translation.
Study Benefits
The tool shows decimal, hexadecimal, and binary results together. It also shows page ranges and offset bits. These details help verify homework, operating system examples, and low level memory exercises. Export options make it easier to save answers for reports or notes.
FAQs
What is a page offset?
A page offset is the byte position inside a memory page. It is found with the remainder after dividing the logical address by page size.
How is the page number calculated?
The page number is calculated by dividing the logical address by the page size and taking the floor value.
Can I use hexadecimal addresses?
Yes. Select hexadecimal as the address base. You may enter values with or without the 0x prefix.
Can I use binary addresses?
Yes. Select binary as the address base. You may enter values with or without the 0b prefix.
What happens with non power of two page sizes?
The calculator still finds the page number and offset. It shows minimum offset bits because exact bit splitting requires a power of two.
What is zero based page numbering?
Zero based numbering starts the first page at page 0. Many operating system examples use this convention.
Why add a frame number?
A frame number lets the calculator estimate a physical address. It multiplies the frame by page size and adds the offset.
Can I export the results?
Yes. After calculation, use the CSV or PDF button. Both options export the visible result table.