Question

Assuming a 1-KB page size, what are the frame numbers and offsets for the following virtual address references (provided as decimal numbers)!

a) 312
b) 4095

Answer 1

To determine the frame numbers and offsets, divide the virtual address by the page size. For address 312, the frame number is 0 with an offset of 312. For address 4095, the frame number is 3 with an offset of 1023.

Step-by-step explanation:

When working with virtual address references in a system with a 1-KB page size, it is crucial to understand how to compute the frame number and offset. To find the frame number, you divide the virtual address by the page size. The offset is the remainder of that division.

Calculating Frame Number and Offset

For the address 312 (decimal):

• The frame number is 312 / 1024 = 0 since 312 is less than the page size of 1024 bytes (1 KB).
• The offset is simply 312 because it is within the first page frame.

For the address 4095 (decimal):

• The frame number is 4095 / 1024 = 3 because 4095 divided by 1024 gives us three full pages and some remainder.
• The offset is 4095 % 1024 = 1023, which is the byte offset within the fourth page frame (since frame numbering starts at 0).