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It is important to have the correct colour space on your device in order for your display to not be distorted or bad quality. For example if the monitor's colour space does not match your printer's colour space then you may not receive a print out that matches what you have on the screen

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The logarithmic (or non-linear) color space: A color space in which the relationship between a pixel's digital value and it's visual brightness does not remain constant (linear) across the full gamut of black to white.

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Bit depth refers to the number of colours which can be stored within each pixel and the most commonly used bit depths are 1-bit, 4-bit, 8-bit and 24-bit and by using the 2n formula the number of colours for each level of bit depth can be calculated.