Discussion
What would be the number of shades that can be generated on computer monitor if the satellite data of any three bands with quantization level is \(2^{8}\) ?
Answer: A
The monitor can show 16777216 shades.
A quantization level of \(2^{8}\) means each band is recorded in 8 bits, giving 256 brightness values (0 to 255). When three bands are displayed through the red, green and blue guns of a monitor, every combination of the three values is a distinct colour:
\[ \begin{aligned} N &= 256^{3} = 2^{24} \\ &= 16{,}777{,}216 \end{aligned} \]
This is the familiar 24-bit 'true colour' of computer displays. The other figures, 1677216, 1677816 and 72167716, are miscopied versions of this number with a digit dropped, changed or scrambled, and none equals \(256^{3}\).
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