An eReader has a 956-pixel x 1290-pixel grayscale display with each pixel able to display 32 shades of gray. What is the KiB size of the display memory for the device

752.71 kilobytes

Explanation:

Given ;

956-pixel x 1290-pixel

Shades of gray, = 32

Bit depth (n) = 2^n

32 = 2^5

Bit depth, n = 5 bits / pixel

The size of display memory :

Pixel dimension * n

(956 Pixel * 1290 pixel) * 5 bits /pixel

= 6166200 pixel * bits / pixel

= 6166200 bits

Converting bits to kilobytes :

1 bit = 1/8 bytes

1 byte = 1/1024 kilobytes

Hence,

1 bit = 1/(8 * 1024) kilobytes

1 bit = 1/8192 kilobytes

6166200 bits = (1/8192 * 6166200) kilobytes

= 752.7099609375 kilobytes

= 752.71 kilobytes