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Does 64 bits per channel mean that each R,G,B and A are represented as 16 bits integers?

Bits channel integers mean represented
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Does 64 bits per channel mean that each R,G,B and A are represented as 16 bits integers?

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No. Each color component (or any other channel, such as alpha, distance, etc.) is represented as a 64 bit (double precision) floating point value.

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