Discussion
An amount of memory required to store a 256 gray shade monochrome image with 512 × 512 resolution will be :
Answer: A
The memory needed is 256 K bytes.
256 grey shades need 8 bits per pixel, since \(2^{8} = 256\), which is one byte per pixel.
\[ \begin{aligned} 512 \times 512 &= 262144 \text{ pixels} \\ &= 262144 \text{ bytes} \\ &= 256 \times 1024 = 256\ \text{K bytes} \end{aligned} \]
512 K bytes would mean 16 bits per pixel, 1 M byte 32 bits, and 64 K bytes only 2 bits per pixel (4 grey levels).
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