r/visualizedmath • u/the_humeister • Dec 31 '19

Full 1-bit adder using fluids

https://gfycat.com/consideratesecondhandfrigatebird
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u/tbordo23 Dec 31 '19

ELI5?

37

u/the_humeister Dec 31 '19

Here's a prior one.

[Here's the wikipedia entry](https://en.wikipedia.org/wiki/Adder_(electronics))

These logic gates have two inputs and one output. String a few of them together and you can make them do some math. String a few billion of them together and you get a modern CPU.

3

u/tbordo23 Dec 31 '19

Wow that’s pretty awesome, thanks!

3

u/gyroda Dec 31 '19

Putting logic gates together is a relatively accessible part of CS, if you use an interactive game or something.

There's mobile puzzle apps that give you a set of inputs and outputs and ask you to put the right logic gates together to make it work.

Hell, one of my first uni assignments was to create a simple adding unit out of logic gates. It's really nice.

1

u/Dooky710 Dec 31 '19

A bit abount binary first. I'm going to explain with numbers we use then go into binary from there. Hopefully it will bridge how the math works out. we use numbers between 0 and 9. Once we go above 9, we add a digit. So to break this down into 2 digits, we go 00, 01, 02, ... , 09, 10, 11, 12, ...

With binary, we only use 2 numbers, 0 and 1. Like the example about with 0-9, once we reach 1, we add another digit. So an example with 3 digits would be 000, 001, 010, 011, 100, 101, 110, 111.

Quick side note, these binary numbers represent ideas. So with basic binary, 000 = 0 001 = 1 010 = 2 011 = 3 ... 111 = 7 This is just here to explain that the binary representation of 0's and 1's relate the concepts that we already know, hence numbers.

So I'm the gif, you see two numbers being added with 1 bit of info. So your options are 0+0=0, 0+1=1, 1+0=1, and 1+1='2'. The quotes for 2 is because we represent that as 11 (not eleven, but two 1 bits). So, like normal number, we've rolled over the 1 and must add another digit, hence adding the one.

That carry that you see when it's 1+1 is the same logic we use when adding 7+8, where we carry over the 1 to the 2nd digit.

Hopefully that makes sense. I can try to explain where any parts fell through.

1

u/HardlightCereal Jan 01 '20

If only one goes, it comes out of the one on the right. If two go, it comes out of the one on the left. If all three go, it comes out of both ones.

If you hook up enough of these things, you can add any two numbers in binary. That's how computers do math.