You give them a $20 bill, but then they say, “Hey, can I get another pack of chips too?” And you think, “Hmm, that’s not fair since we agreed on $10.” But instead of arguing or getting mad, you could just use math to solve the problem. That’s where elliptic curve cryptography comes in! It uses a fancy algorithm to make sure everyone gets what they deserve without any arguments or fights.

So let’s say your friend wants to buy two packs of chips for $10 each, but you only have one $20 bill. Instead of giving them the whole $40 and hoping they don’t spend it all on snacks, you could use elliptic curve cryptography to split that money into smaller amounts without having to physically hand over any cash.

Here’s how it works: first, you choose an “elliptic curve” (which is just a fancy way of saying a curvy line) and pick some points on that curve. Then, you assign each point a value based on its location on the curve. For example, if your friend wants to buy two packs of chips for $10 each, you could give them two different points on the curve with values of 10 and 20 (since they’re spending twice as much).

Now let’s say you want to split that money into smaller amounts. Instead of physically handing over any cash, you can use a special algorithm called “multiplication” to calculate how many times each point needs to be multiplied by itself in order to get the desired amount. For example, if your friend wants $5 for one pack of chips, you could multiply their original point (which has a value of 10) by itself twice to get a new point with a value of 100 (since 10 times 10 is 100).

You can also use this same algorithm to calculate how much money your friend owes you for the second pack of chips. To do that, you would multiply their original point by itself again (which gives us a new point with a value of 1000) and then subtract the first amount they spent ($50) from it to get the remaining balance ($450).

Elliptic curve cryptography is just like splitting money between friends, but without any physical cash changing hands. It’s a fancy way of using math to solve problems and make sure everyone gets what they deserve without any arguments or fights.