To know Windows 10 installation compatibility with Compaq 610

You have to do these checks.

We can't give you a definite YES or NO.

First thing to do is to make sure that you have the correct system requirements and that your Computer Manufacturer supplies the correct Drivers for 10 for your Model Number.

According to HP they only support XP > 7 on your model:

https://support.hp.com/au-en/drivers/selfservice/compaq-610-notebook-pc/3958407

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https://www.microsoft.com/en-US/windows/windows-10-specifications#sysreqs

If you read those Microsoft's system requirements for 10, you will find that if you only go on them you will be sadly disappointed in performance.

For reasonable performance should have at least:

2 gigahertz (GHz) or faster processor.

4 gigabyte (GB) for 32-bit or 8 GB for 64-bit

500GB hard drive

DirectX 9 or later with WDDM 1.0 driver

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Detailed information on Minimum hardware requirements:

https://docs.microsoft.com/en-us/windows-hardware/design/minimum/minimum-hardware-requirements-overview

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Some Manufacturers have listed Model Numbers tested with 10 at their website:

HP Products Tested with Windows 10