Consider a N-bit plane frame buffer with W-bit wide lookup table with W > N.…
2016
Consider a N-bit plane frame buffer with W-bit wide lookup table with W > N. How many intensity levels are available at a time ?
- A.
2N
- B.
2W
- C.
2N+W
- D.
2N–1
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Show answer & explanation
Correct answer: A
Answer: There are 2^N intensity levels available at a time.
Explanation:
The frame buffer is N-bit, so each pixel stores an N-bit index. That index can take 2^N distinct values, which determines how many different palette entries can be referenced simultaneously.
The lookup table is W bits wide, meaning each palette entry is represented with W bits (giving each entry up to 2^W possible intensity values). However, the number of entries that can be used at once is limited by the number of indices in the frame buffer (2^N).
Therefore, even if W > N, only 2^N intensity levels can be displayed simultaneously; the wider table only affects the resolution/precision of those entries, not their count.
Example: If N = 3 and W = 8, the frame buffer can reference 2^3 = 8 palette entries at once. Each palette entry is 8 bits wide (0–255), but only 8 of those values are used simultaneously.