TIFF files support floating point values. For example, the 128 bits per pixel format accepts 32-bit float components. See About Bitmap Images and Image Masks. Also see Supported Pixel Formats for table of supported pixel formats for graphics contexts.
In terms of the benefits of floating point, 32 bits per channel, it just means that you have more possible gradations of colors per channel. In general you can’t see this with the naked eye (over 16 bits per channel), but if you start applying adjustments (traditionally, multiple curves or levels adjustments) it means that you’re less likely to experience posterization of the images. So, if (a) the image already has this level of information; and (b) you’re might need to perform these sorts of adjustments to images, then the added data of 32-bits per component might have benefits. Otherwise the benefits of this amount of information is somewhat limited.
Bottom line, use floating point if you are possibly editing assets that might already have floating point components. But often we don’t need or use this level of information. Most of the JPG and PNG assets we deal with are 8 bits per component, anyway.
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