Okay kiddo, so let's say you want to send a message to your friend and you want to make sure that nobody else can change that message or pretend to be you. That's where digital signatures come in!
A digital signature is like a special code or password that you add to your message to show that it really came from you and that nobody has messed with it. It's called a "digital" signature because it's all done with computers and digital technology.
Now, the way a digital signature is created is through something called a "digital signature algorithm". An algorithm is just a set of instructions that tells a computer what to do.
The digital signature algorithm works by using something called a "private key" and a "public key". Think of it like a secret code that only you and your friend know, but you don't want anyone else to find out what it is.
Your private key is like the secret part of the code that only you know. You use this key to "sign" your message and create the digital signature. Then, your friend uses your "public key" (which is like the public part of the code that anyone can see) to check the digital signature and make sure it really came from you and that nobody else has messed with it.
It's kind of like when you draw a picture and you sign your name at the bottom so everybody knows you made it. Except with digital signatures, it's all done with computers and fancy math, so it's way more secure and harder for bad guys to fake.
So, that's basically what a digital signature algorithm is and how it works. It's a way to keep your messages safe and make sure they really come from you. Pretty cool, huh?