Assume you have a computer that contains 1GB of memory. It contains four memory slots. Each slot can contain 128 MB, 256 MB, 512MB, 1 GB, or 2GB memory modules. two of the slots contains a 512MB memory module. What memory chip would you buy to increse the memory on the computer to 4 gb? what is the maximum memory on the computer?

To increase the memory on the computer to 4GB, you need to determine the remaining two memory slots' capacity and then calculate the additional memory needed.

Considering two of the slots already have a 512MB memory module each, you need to find memory chips that can fill the remaining two slots and increase the total memory to 4GB.

First, let's calculate the current memory capacity in the computer:
- Each 512MB memory module occupies one slot, so it contributes 512MB to the total memory capacity.
- Since there are already two 512MB memory modules installed, the total memory occupied by them is 2 * 512MB = 1024MB.

To determine how much more memory is needed, subtract the current memory capacity from the desired memory capacity:
4GB - 1GB = 3GB

To fill the remaining two slots with memory chips that add up to 3GB, consider the available options provided:
- 128MB, 256MB, 512MB, 1GB, and 2GB memory modules.

To find the most appropriate combination, let's calculate the remaining memory capacity after installing different memory modules:
- If we fill both slots with 2GB memory modules: 2GB * 2 = 4GB (which exceeds the desired memory of 3GB).
- If we fill both slots with 1GB memory modules: 1GB * 2 = 2GB (which is less than the desired memory of 3GB).
- If we fill both slots with 512MB memory modules: 512MB * 2 = 1GB (which is less than the desired memory of 3GB).

Since none of the above combinations fulfill the desired memory capacity, we need to consider a different combination.

If we fill one slot with a 2GB memory module and one slot with a 1GB memory module:
- 2GB + 1GB = 3GB

Therefore, the memory chips you would need to buy to increase the computer's memory to 4GB is a 2GB memory module and a 1GB memory module.

Maximum Memory on the computer:
Considering the maximum capacity of each slot (2GB), and having four slots in total, the theoretical maximum memory that can be installed in the computer is:
2GB * 4 = 8GB.