Question: (II) (a) 16-bit sampling provides how many different possible voltages? (b) 24-bit sampling provides how many different possible voltages? (c) For color TV, 3 subpixels, each 8 bits, provides a total of how many different colors?

Digital electronics is used to convert an analog signal voltage to a digital voltage in terms of binary codes. There are two possibilities for each bit, 0 and 1. A byte provides\({{\bf{2}}^{\bf{8}}}{\bf{ = 256}}\)voltage levels.

The different possibilities for 16-bit sampling are,

\(\begin{aligned}{c}{N_1} &= {2^{16}}\\ &= 65536\end{aligned}\)

Thus, there are 65536 possibilities for the voltage.

The different possibilities for 24-bit sampling are,

\(\begin{aligned}{c}{N_1} &= {2^{24}}\\ &= 16777216\end{aligned}\)

Thus, there are 16777216 possibilities for the voltage.

Three subpixels, each 8 bits equivalent to 24-bit sampling.

Then the total possibilities are,

\(\begin{aligned}{c}{N_3} &= {2^{24}}\\ &= 16777216\end{aligned}\)

Thus, there are 16777216 possibilities for the color.