Exactly! They never teach you about buying insurance in school. Many people don't learn this until they suffer a loss. Renter's insurance is important, too.
Replacement Value Insurance is the key. I don't know how this works in other countries, but in the US, it is vital. It costs a little more, but this is how it works.
Let's say you have a 6 year old 34 inch TV that you paid $900 for. It's only worth maybe $100 today if you are lucky. Regular insurance gets you the current value of $100. With replacement value insurance, you can replace the 34 inch TV with a new one.
To the extreme example, we had a top-of-the-line sewing machine from 1964 in our house. (inherited from an old aunt.) It worked, but it was not worth more than $25-50 if we tried to sell it. We had a loss (from a broken pipe in the basement of our new house that soaked it) and the insurance company replaced it with the current top-of-the-line-machine that cost $5000. Needless to say, there was one happy woman in this house.
We didn't cheat the insurance company, we paid for the insurance, we had a loss, and they replaced it per their policies.
Often, if you "call out" your valuables, including your computers, they will replace your equipment with new. Top-of-the-line for top-of-the-line. YMMV as some insurance companies may refuse some things at first. Keep on them, prove your case, and you can get what you want.
And, as long as we are talking about losses, it is the perfect time to nag you about your backups. Keep an up-to-date backup of your data off-site. In the event of a catastrophic loss (fire, theft, tornado), you still have your wedding video and baby photos and tax info intact in another location.