If the frame buffer has 10-bits per pixel and 8-bits are allocated for each of the R, G and B components then what would be the size of the color lookup table (LUT)

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UGC NET Computer Science (Paper 2) Dec 2018 Paper
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  1. (2​10​ + 2​11) bytes
  2. (210​ + 2​8) bytes
  3. (210​ + 224) bytes
  4. (28​ + 2​9) bytes

Answer (Detailed Solution Below)

Option 1 : (2​10​ + 2​11) bytes
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Frame buffer has 10 bits per pixel and 8 bits are allocated for each R, G and B components.

As frame buffer has 10 bits. So, entries in color lookup table = 210

8 bits for each component. Collectively 24 bits for all three components.

It means 24/8 = 3 bytes are for R, G and B component collectively.

Size of color look up table = number of entries in look up table × size of each entry

Size of look up table = 210 × 3 = 3072 = (210 + 211) Bytes
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