Well, it depends on what socket the original Mobile Sempron is. The socket 754 Mobile Semprons are only upgradeable to single-core Turion 64s, whereas socket S1 Semprons are upgradeable to Turion 64 X2 dual-cores.
A quick-and-dirty way to tell is to look at the RAM in the computer. All socket 754 computers will use
DDR RAM while socket S1 ones use
DDR2 memory. If the modules are unmarked or your OEM's website doesn't tell you the type, there are tools like CPU-Z that will tell you what your chip's socket is.
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