Question

В процессе преобразования растрового графического изображения количество цветов уменьшилось с 65 536 до 16. Во сколько раз уменьшился его информационный объем?

Answer 1

65 536 = $2^{16}$
16 = $2^{4}$
16/4=4
Ответ: в 4 раза

Answer 2

Informational Volume Reduction in Raster Graphic Image Conversion

When the number of colors in a raster graphic image is reduced from 65,536 to 16, the informational volume of the image is reduced by 4096 times.

This calculation can be derived from the formula: \[ V = k \times I \] Where: - \( V \) represents the informational volume - \( I \) represents the number of colors - \( k \) is a constant

Using the given values: - Initial number of colors, \( I = 65536 \) - Final number of colors, \( I = 16 \)

We can calculate the reduction in informational volume using the formula: \[ V = k \times I \] \[ k = \frac{V}{I} \] \[ k = \frac{65536}{16} \] \[ k = 4096 \]

Therefore, the informational volume reduction is by a factor of 4096.