Question
Eight binary black-and-white images each contain 1 megapixel, and one image with exactly 8 possible colours contains 8 megapixels. Using the minimum fixed number of bits per pixel, what total space is needed for the uncompressed pixel data? Ignore headers and palettes; use 1 megapixel = 1,000,000 pixels and 1 MB = 1,000,000 bytes.
The correct answer is
4 MB
Step 1: Binary images need 1 bit per pixel, so all eight need \(8\times10^6\text{ bits}=1\text{ MB}\).
Step 2: Eight colours need \(\log_2 8=3\) bits per pixel. The colour image needs \(8\times10^6\times3\text{ bits}=3\text{ MB}\).
Total storage is 4 MB.
Was this answer helpful?
Important Questions from Memory Management
- A system has a Translation Lookaside Buffer (TLB) that has a reach of 1 MB. TLB reach is defined as the total amount of physical memory that can be accessed through the TLB entries. The paging system uses pages of size 4 KB. The virtual address space is 64 GB and physical address space is 1 GB. If each TLB entry stores a 4-bit process id, page number, frame number, and a 2-bit control field, then the size of the TLB (in bytes) is ___________. (answer in integer)
Note: 1K=$2^{10}$, 1M=$2^{20}$, 1G=$2^{30}$ - Consider contiguous allocation of physical memory to processes using variable partitioning scheme. Suppose there are 8 holes in the memory of sizes 20 KB, 4 KB, 25 KB, 18 KB, 7 KB, 9 KB, 15 KB, and 12 KB. Assume that no two holes are adjacent. Two processes P1 of size 16 KB and P2 of size 9 KB arrive in that order, and they are allocated memory using the best-fit technique. After allocating space to P1 and P2, the number of holes of size less than 8 KB is ____________. (answer in integer)
Note: 1K=$2^{10}$ - Match List I with List II
List I List II A. Clustered Page Table I. Generally considered inappropriate for 64 bit architectures. B. Hierarchical Page Table II. Has only entry for each real page (or frame) of memory. C. Segmentation III. Useful for Sparse address spaces. D. Inverted Page Table IV. Supports a user view of the system.
Choose the correct answer from the options given below: - Choose the correct answer.
In memory management, page size is always, power of 2. Which of the following is a type of memory and is similar to RAM?
Need Expert Advice?
