But how does bitcoin actually work?

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  • ℹ️ Description
But how does bitcoin actually work? 5
The math behind cryptocurrencies.

Some people have asked if this channel accepts contributions in cryptocurrency form. As a matter of fact, it does:

Here are a few other resources I'd recommend:

(This is particularly good for understanding the details of what transactions look like, which is something this video did not cover)


If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and has many other quirks you might expect in a library someone wrote with only their own use in mind.

Music by Vincent Rubinetti.
Download the music on Bandcamp:

Stream the music on Spotify:

If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people.

3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe, and click the bell to receive notifications (if you're into that).

Various social media stuffs:

💬 Comments on the video

It is a miracle that I can watch this free. No way I could have known any knowledge at this level without actually paying someone more than $10. The value you're creating is in-valuable.

Author — Jae Pil Choi


It must be so tough to break down such smart things to the level that us internet scrubs can understand

Author — Frostbittenwinds


"To call it astronomicly large would be giving way too much credit to astonomy."
My new favourite quote :)

Author — MrBauchnabbel


Waiting for 3Blue1Crown, i bet itll be better than G.O.T

Author — Utkarsh Mishra


4:15 That binary text means "A". Of course it wasn't random numbers!

Author — Coeuz


By far the best explanation of blockchain I've ever seen.

Author — Paxton Faz


This explanation feels clear, but I couldnt understand it

Author — Kadour Yassin


The best explanation of cryptocurrency I've seen. I finally understood it! Sharing this on Twitter, you deserve it 👍

Author — Arsel Muginov


This is one of the clearest explanations I’ve ever heard of anything ever. Thank you

Author — Eli Atkinson


Hey, Thanks for the content ! Saved me a lot of time for the research. In 26 mins i got basically to know crypto without

reading the news one by one. Thankss

Author — Declan Raphael


Satoshi is a explanation of his genius, is genius. Subscribed half way through it....

Author — Patrick Bryan


So what I get about the hash function is that:
-It must be a chaotic function. Changing the variable a small quantity should make the output greatly differ.
-The output should be an approximation, or a number cut, so the inverse cannot be made due to lack of info. Example: If the result for a function is BANANAnanana and the output is BANANA (you cut after six characters)

Author — Gran Earl


So, if I have understood well, even though it is a desentrailised system, it could hypothetically end up under the control of somebody who had, say, 90% of the available computing power of all the miners, right?

Author — Jose Luis Rueda Calavia


Can you do more cryptography? There's so much interesting history in this branch of math, and you would explain it so well!

Author — RowdyMouth


3Blue1Brown, your channel is one of the most high quality on youtube!

Author — Eli Stettner


I had tried to understand how crypto-coins work before, but never had become that clear as this explanation here! Excelent work!

Author — Pantsik Grifoi



Author — OmnissiahZelos


please make a video on transforms (laplace, fourier,z- transforms) as these will help many engineering students.Many people take it for granted very little is known about its physical meaning, there are subjects in engineering based on transforms like signals and systems, signal processing, control theory your vedios will surely make a difference in understanding these subjects.

Author — Harsh Shankar


Oh wow, I was still quite unsure on the concept until your example at 20:00 were you explained why someone couldn't put a transaction in without the consensus of the other network members, then I got it straight away. Amazing video!

Author — dahui58


and yet, linked to an actual regulated currency...

Author — ev ka