Install RAM with higher speed than CPU support

Thanks for your answer. I read many posts online, but by the time I got close to the answer, people stopped discussing. Back to the topic, running benchmark software is the only way to know if any thing is changed, isn't it? What kind of benchmark should I run, and what should I look for?
Thanks again.

There are now so many benchmark programs and up top I can't tell if it's Windows, Linux, DOS or such so find those that measure memory speed alone.

And I'll repeat myself. This is usually a sub-percent change in system speed. That is, from boot to desktop showing might only change it by a split second. Be sure you know this going in.

Sure. I know it definitely (as I said in my original post).
If I test and confirm that the RAM runs at the speed about that for 2133 RAM (say by Prime95), does it mean any change in CPU? How can the motherboard adjust the timing for the CPU to work? Does it automatically OC the BCLK or something else to sync with the RAM frequency? Or what does it do? Do users have to OC the CPU manually?
How about integrated graphic processor?
This is the part I'm looking for in many discussions. They stopped just before what I really want to know.
Thank you very much.

You are surrounding the question with other text that I may get it wrong.

And before I start, the memory speed depends on the system design which could be a current gen Intel where the memory controller is on the CPU or an older design where it was on another chipset. I can't fit a course into the PC board design from say 8088 to present day so with that clear.

You also have 3 or more questions here. There is no correct answer since we would have to know exactly which board, CPU and then it could change with the BIOS.

This is why I will not be able to answer these questions here.

No one but the engineers that created the board you are doing this on can get down into the depths here and then a different BIOS and those answers are toast.

So, in short, test with benchmarks.

I remember way back I try to set a higher speed on the RAM than what the cpu calls for, and in this case, the CPU won. It drop the RAM speed. Ever since I have not try that again. If you think you can go higher, then go for it. It won't hurt anything.

For newer stuff that has native support for 1600 ram and you want to run 2133 ram you must increase the ram bus speed.....OC.

You can do that manually or use that xmp profile stuff.

This will have limited impact on cpu perf.

Where this will show is a ram intense app such as gaming with a igp.

Thank you very much for your answers. My friend just tried it in his laptop Clevo W230ST with Prema Bios. He was able to put 2133 RAM in without using XMP although his CPU i7-4700mq officially supports RAM up to 1600 MT/s. All he did was installing new RAM. The CPU-Z shows exactly what RAM he is running; Prime95 confirms what his RAM is actually running. However, I feel like it's a separate component because nothing in the CPU has changed, so I REALLY want to know if the mainboard changes something to adapt the new RAM, what it is?

In the CPU tab:
Core Speed: 800; Multiplier: x8 (8 - 34); Bus Speed: 100

In the Memory tab:
DRAM Frequency: 1066; FSB:DRAM: 1:8.

I think I'm back to square one. Thanks anyway.

DRAM was clocking data on one edge of the clock so way back when we saw the move to DDRAM (you can google each acronym) where data was clocked out on both the rising and falling edge of the close so at 1066 data clock rate the data was moving at 2132 (or 2133 depending on your take on the math.)

The CPU speed and it's clock rates were decoupled about a decade ago so I'll start and stop on that item here.

You are chasing small gains here. From your posts you are mixing all those numbers together without a background on PC designs from the IBM 8088 to present day. Even I would be pressed to cover them all but here, it looks to me that you have a working system that's performing well.

Put a stick of 1600 ram in your machine and run a ram speed test.

Now put a stick of 2133 ram in your machine and run a ram speed test.

If the MB/s goes up for the 2133 it says the machine is auto adjusting and the ram is working fine.

This has nothing to do with cpu speed that's a different area.