Which of the following bit depths enables a digital radiography system to display the greatest amount of anatomic information in an image?

The bit depth of a digital radiography system refers to the number of bits used to represent each pixel's color or gray level in an image. A higher bit depth allows the system to represent a greater range of tones and subtle variations in the image, which is crucial for accurately capturing complex anatomical structures.

In this case, a 12-bit system can represent 2^12 (or 4096) different gray levels, which provides a more detailed portrayal of the variations in tissue density compared to lower bit depths. This enhanced capacity to differentiate between fine distinctions in anatomy leads to improved image quality and diagnostic capability.

With 4096 levels of gray, the 12-bit system can display a wider dynamic range than both 8-bit and 10-bit systems, which are limited to 256 (2^8) and 1024 (2^10) levels of gray, respectively. Although a 14-bit system does enable even greater representation (16384 gray levels), the question asks for the option that allows the greatest amount of information among the provided answers, making the 12-bit system the best choice in this context.