Will Norton Malware Show Up in the Bin?

I recently got my pc upgraded with a brand new Norton antivirus program and after I had received my new computer my own old Norton antivirus traveled to the recycle bin and wiped. There was no way that I can find where it gone so I did a system regain and I was able to get my computer launched and established just fine, nevertheless I had to perform the Norton antivirus search within again and best norton antivirus my own Norton anti-virus went to the recycle bin once again. I have tried out all sorts of things prior to I thought to search for a down load for Norton antivirus that could allow me to check my computer for free and when I downloaded the Norton antivirus to my pc it hardly ever reappeared in the recycle bin again.