QuestionFind the page number and offset for the virtual address 30000 with a page size of 2048 Bytes.

Studdy Solution

STEP 1

Assumptions1. The system uses a page size of2048 Bytes. . The decimal virtual address is30000.
3. The first page number in the system is0.

STEP 2

First, we need to find the page number where the decimal virtual address30000 is located. We can do this by dividing the virtual address by the page size.
$Page\, number = \frac{Virtual\, address}{Page\, size}$

STEP 3

Now, plug in the given values for the virtual address and page size to calculate the page number.
$Page\, number = \frac{30000}{2048}$

STEP 4

Calculate the page number. Note that the page number should be a whole number, so we take the floor of the result.
$Page\, number = \left\lfloor \frac{30000}{2048} \right\rfloor$

STEP 5

Calculate the page number.
$Page\, number = \left\lfloor \frac{30000}{2048} \right\rfloor =14$

STEP 6

Now that we have the page number, we can find the offset within that page. The offset is the remainder when the virtual address is divided by the page size.
$Offset = Virtual\, address\, mod\, Page\, size$

STEP 7

Plug in the values for the virtual address and the page size to calculate the offset.
$Offset =30000\, mod\,204$

STEP 8

Calculate the offset.
$Offset =30000\, mod\,2048 =904$ The decimal virtual address30000 is located in page number14 and the offset is904.

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