Question

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?

Short answer

(a) There are 65536 possibilities for the voltages.

(b) There are 16777216 possibilities for the voltages.

(c) There are 16777216 possibilities for the color.

Step-by-step solution

Understanding of digital electronics

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.

(a) Different possibilities for 16-bit sampling

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.

(b) Different possibilities for 24-bit sampling

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.

Determination of the number of different colors

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.