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 ?

  1. A.

    2N

  2. B.

    2W

  3. C.

    2N+W

  4. D.

    2N–1

Attempted by 143 students.

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.

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