MacBook Air apple symbol showing

Take a look at this article, it may help you. If your iPod gets stuck on the Apple logo or it doesn't turn on - Apple Support

- Try resetting the SMC and NVRAM/PRAM

Intel-based Macs: Resetting the System Management Controller (SMC)

https://support.apple.com/en-us/HT201295

About NVRAM and PRAM

https://support.apple.com/en-us/HT204063

- Try starting in Safe Mode

OS X: What is Safe Boot, Safe Mode?

https://support.apple.com/en-us/HT201262

- Boot to Recovery and repair the startup disk

OS X: About OS X Recovery - Apple Support

https://support.apple.com/en-us/HT201314

- If it is repairable reinstall the OSX

How to reinstall OS X on your Mac - Apple Support

https://support.apple.com/en-us/HT204904

- If you do not have a backup use disk utility to restore the internal disk to an external disk so you can try to recover data.

Then format the startup disk and do a fresh install of OSX

Archie is a cute puppy wrote:

I Have a MacBook Air mini , when I boot up, the Apple symbol shows and

What do exactly have? A Macbook Air or a Mac Mini? What do you mean by 'doesn't go s'?

Ciao.

That does not sound good. Back up your data if you have not done so.

Go to the OWC web site and look for replacement storage for your MBA.

Ciao.

Here is how to copy files from your startup disk to an external disk using Terminal when booted to Recovery

https://discussions.apple.com/thread/6832274?start=0&tstart=0