Assume you have a computer that contains 2GB of memory. It contains four memory slots. Each slot can contain 128 MB, 256 MB, 512MB, 1 GB, or 2GB memory modules. Currently, each slot contains a 512MB memory module. What combinations of memory modules will satisfy your memory upgrade to 8GB? Which of these combinations is the least expensive.
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There are four slots:
* 512MB (1/2GB) +
* 512MB +
* 512MB +
* 512MB = 2048MB = 2GB
To upgrade to 8GB, you might choose to remove the existing chips and replace them, for example with the following configuration,
2GB + 2GB + 2GB + 2GB = 8GB
(2GB x 4)
Can you think of any other ways to do this? For example, if you don't want to buy 4 new chips you could probably reuse 3 of them, buy one new chip and keep one of the old chips as a spare.
Just one possible suggestion.
The suggestion above would not give 8 gig though, unless yu can get a 6.5,
You could keep 2 sticks get a 4g and 3g to make 8.
The cheapest method and using all slots is the one above 2+2+2+2
To find the combinations of memory modules that will satisfy the memory upgrade to 8GB, we can start by calculating the total amount of memory currently installed. Given that each slot contains a 512MB module, we have:
Total current memory = 4 slots * 512MB/slot = 2048MB = 2GB
To upgrade to 8GB, we need to add 6GB of memory (8GB - 2GB = 6GB). Let's explore different combinations of memory modules to achieve this.
First, let's convert 6GB to MB:
6GB * 1024MB/GB = 6144MB
Now, let's break down 6144MB into possible combinations using the available memory module sizes (128, 256, 512, 1024, and 2048) in each slot:
Combination 1:
Slot 1: 2048MB (2GB)
Slot 2: 2048MB (2GB)
Slot 3: 2048MB (2GB)
Slot 4: 0MB (Empty)
Combination 2:
Slot 1: 2048MB (2GB)
Slot 2: 2048MB (2GB)
Slot 3: 1024MB (1GB)
Slot 4: 1024MB (1GB)
Combination 3:
Slot 1: 2048MB (2GB)
Slot 2: 1024MB (1GB)
Slot 3: 1024MB (1GB)
Slot 4: 2048MB (2GB)
Combination 4:
Slot 1: 1024MB (1GB)
Slot 2: 1024MB (1GB)
Slot 3: 2048MB (2GB)
Slot 4: 2048MB (2GB)
Now, let's calculate the cost of each combination. Since the cost of each module is not provided, we will assume a generic cost:
128MB module: $20
256MB module: $25
512MB module: $30
1GB module: $40
2GB module: $50
Combination 1 cost: 2GB + 2GB + 2GB + 0GB = 6GB = $0
Combination 2 cost: 2GB + 2GB + 1GB + 1GB = 6GB = $100
Combination 3 cost: 2GB + 1GB + 1GB + 2GB = 6GB = $120
Combination 4 cost: 1GB + 1GB + 2GB + 2GB = 6GB = $120
From these combinations, the least expensive option is Combination 1, which has a cost of $0 since no additional memory modules need to be purchased.