What would be the number of colors if n = 4 bits per pixel?

When the value of n, which represents the number of bits per pixel, is 4, the calculation to determine the number of colors that can be represented is based on the formula for calculating the total number of colors: ( 2^n ).

In this case, since n is 4:

[

2^4 = 16

]

This means that with 4 bits per pixel, a total of 16 different colors can be displayed. Each bit can be either a 0 or a 1, and with 4 bits, the number of combinations of 0s and 1s leads to 16 unique color values.

The other options reflect the calculations for different numbers of bits per pixel:

• With 8 bits per pixel, the number of colors would be ( 2^8 = 256 ).

• With 3 bits per pixel, the number of colors would be ( 2^3 = 8 ).

• With 5 bits per pixel, the number of colors would be ( 2^5 = 32 ).

Thus, for 4 bits per pixel, the correct number of colors is indeed 16.