That is a bit confusing, because desktop PII's had 512k of cache sitting next to the die. And Pentium 1's had the cache further down the bus. Either way it wouldn't matter with MMC cards because the cache would be on the card.
But if the PII in question here is actually a beefed up Celeron (more cache), it COULD be on-die. That would make it a special core, something Intel doesn't do very often. Still, on-die cache would be on the CPU, which in turn, is on the MMC card.
So any way you look at it, your cache gets changed with the module. The PII is clocked much higher than the P1, works better with 32-bit code, and the cache is always faster.
Consider this: The cache on the Pentium 1 ran at 66MHz. The off-die integrated cache of desktop PII's ran at 1/2 die speed, which would be 200MHz with a 400MHz PII. And on die cache runs at full speed, which would be 400MHz.
So whether the cache runs at 200MHz or 400MHz, it's still significantly faster than the 66MHz cache of the Pentium 1.
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