How many bits of pixel can be displayed with 4 bits of memory?

• A. 2
• B. 4
• C. 8
• D. 16

Answer: (D)

To find out how many bits of pixel can be displayed with 4 bits of memory, it's important to understand what is being represented by the bits. Each bit can represent two states (0 or 1), which allows us to calculate the total number of combinations possible with a certain number of bits.

With 4 bits of memory, you can calculate the number of unique combinations as follows:

The formula for the number of combinations is (2^n), where (n) is the number of bits. In this case, (n = 4):

[

2^4 = 16

]

Thus, 4 bits of memory can represent 16 distinct pixel values or combinations. Each unique combination can be thought of as a different color or intensity in a digital image, hence the ability to display 16 different possibilities.

The other options represent fewer combinations than what 4 bits can actually provide. The understanding of binary representation is foundational in digital electronics and computer graphics, clarifying why 4 bits can indeed yield 16 distinct outcomes.