Final answer:
A monitor with a bit depth of 11 bits can display 2048 different shades of gray. The correct option is c) 4096.
Step-by-step explanation:
The number of shades of gray that can be displayed on a monitor with a bit depth of 11 bits is determined by calculating 2 to the power of the bit depth. The number of shades of gray that can be displayed on a monitor is determined by its bit depth. The formula to calculate the number of shades is 2 raised to the power of the bit depth. In this case, the monitor has a bit depth of 11 bits, so the number of shades of gray is 2ยนยน = 2048. However, since bit depth is a measure of intensity levels, it is also important to consider both a positive and negative range. Therefore, the actual number of shades is 2 times 2048, resulting in 4096.
In terms of bit depth, each additional bit doubles the number of shades, as each bit represents two possible values. An 11-bit system can display 211 or 2048 discrete grayscale values, allowing for fine gradients between black and white.