What is the bit depth of a color palette that can display 32,768 color variations?

To determine the bit depth of a color palette that can display 32,768 color variations, it's important to understand how bit depth relates to the number of colors that can be represented. The bit depth indicates how many bits are used for each pixel, which directly affects the total number of colors that can be displayed.

Each additional bit doubles the number of available colors. The formula to calculate the number of colors from the bit depth is (2^n), where (n) is the bit depth.

• For 8-bit color depth, (2^8 = 256) colors.

• For 16-bit color depth, (2^{16} = 65,536) colors.

• For 24-bit color depth, (2^{24} = 16,777,216) colors.

• For 32-bit color depth, (2^{32}) gives over 4 billion colors.

Since 32,768 colors is specifically equal to (2^{15}), which can also be seen as a limit within a 16-bit color depth setting, this correlates directly to a 16-bit palette. Thus, the bit depth of a color palette that can display 32,768