i am looking for a suggestion which linux version on so many types and which should i install on my old pc which has 2 gb ram and 500 hdd and 32 bit operating system for the purpose of coding, editing with different tools and application without any delay or problem with the above specs

can anyone give the suggestion

Welcome.

I don't want to bias a choice, but if you search for "32-bit Linux distros" you'll find lists of several and the one I picked first shows the minimum system specs they require, much of those less than what you've cited. Meaning your system is pretty capable.

You are looking for distros without systemD. Only these are light and can fullfill your needs. Try slitaz linux. The lightest distro with a nice desktop but only a few apps... you can add more by compiling them but this is up to you.

AntiX is the distro usually recommended for "antiques".

https://distrowatch.com/search.php?ostype=Linux&status=Active&category=Old+Computers

What cpu do you have? I've run Debian with Xfce on an old pentium laptop with 2GB of ram. For coding, you just want to make sure all the developer tools are available and Debian will have those. A more newbie friendly version of that setup is provided by MXLinux which is Debian based:

https://mxlinux.org/download-links/

Writing and editing code with basic editors will be no problem with even very modest hardware. The modern web will pin the cpu at 100% on my old laptop so surfing is an exercise in patience, doable but not very enjoyable.

Almost any of the distros that use a Window Manager, rather than a full Desktop Environment, will work on a 2GB ram machine, if you want to browse the internet, add a swap partition of 2GB as well.

AntiX Base, or Devuan Live, both come in 32bit versions, (& some other too), will work well on low specced machines.

i am looking for a suggestion

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Refer 1st Sticky at the top of this forum.

You won't be the first to ignore what's there to help you... and, sadly, you won't be the last.

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TDE is a mature DE without bling or bloat. Debian, the mother of most derivative distros, most of which differ primarily in their choice of default DE, works just fine using systemd together with TDE on 2GB 32bit PCs. I have several.

I would recommend a simple dwm environment instead. It doesn't get more lightweight than that, and binaries for 32bit exist! Complete with app launcher, browser, customisation patches and tools.
Available for all distros mentioned.

Yeah, uhhh No!
Several distros, Ubuntu and Fedora included, have dropped 32 bit support. There are still a lot that do support the older hardware as has already been mentioned.

Did you just say that dwm and all the suckless tools are not available for either 32 or 64 bit? Because they most definitely are available for both.

Neither Ubuntu nor Fedora were mentioned in any way prior to your post?

This is helpful. I disagree with what distrowatch calls "old", that category's recommendations are aimed, by the look of it, more at 500M memory rather than 2G. You can do a lot of development with 2G.

Similarly I doubt systemd would add a significant overhead compared with other service management processes. I'd be interested to see evidence.

The OP doesn't say whether a GUI is desirable. Most people these days seem to think it is. I agree that the current Gnome/Cinnamon/KDE are too heavyweight but xfce would stand up as well as the windows manager category mentioned. The one thing 2GB with a HDD won't do, as noted here, is feel comfortable on a browser for more than a tab or two, or with a significant bookmark/history list.

If a faster development environment turns out to be needed, the 2G + 500M HDD 32 bit machine is still ideally adequate for ssh or vnc access to a higher-spec cloud computer.