A 35.56 x 35.56 inch color image is scanned. Scanner resolution – 1200 x 1200 dpi, color depth – 8 bits.

A 35.56 x 35.56 inch color image is scanned. Scanner resolution – 1200 x 1200 dpi, color depth – 8 bits. How much information will the resulting graphic file have?

Formula: V = K * I
1200 * 1200 = 1,440,000 pixels.
Let’s find the size of the image.
35.56 * 35.56 = ≈1,264.5d.
Multiply, we get the total scanned size.
1,440,000 × 1,264.5 = 1.82088e9.
Now let’s find the information volume of the image in bits by multiplying the number of pixels and the color depth.
1.82088e9 × 8 = 1.456704e10bit.
We translate into GB: ≈1,736.5
Answer: 1.736.5 GB.



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