I don't know if your question was only intended for internet searches, but here is a bit more boolean info.
Im still studying, so forgive me if my memory decieve me.
Boolean algebra is a widely used technique in logical circuits, meaning your pc consists of thousands of AND & OR gates, which in all its simplicity compares 2 or more inputs, and outputs a result of either true or false. Your digital watch, calculator, pc, well all things that process data is build from these simple functions. Well, there are more to it than that, there is inverters, meaning if the intput is true, then the output is false and vice versa. There are of course timers and others fancy stuff, plus some specialized boolean functions like X-OR which is true when only one of the inputs are true, but it all comes down to boolean algebra.
Since pcs, calculators and such things use binary numbers, being 1 and 0, it is quite tempting to use 1 as true and 0 as false... By using boolean algebra you can build advanced functions like adding, subtracting, multiply and division... ( / )
This is a truly amazing and wide field, so I am going to stop soon... But to illustrate that I'm right, check this out:
To add 2 binary numbers, each 1 digit, this is the inputs and the outputs ( if its too confusing, use true or false instead... ):
Input A Input B Result Carry out
0 0 0 0
0 1 1 0
1 0 1 0
1 1 0 1
Carry out is in case the result is more that 1 which is maximum value for a binary number being only 1 or 0...
So if A OR B is 1 the Result is 1 and Carry out is 0
If A AND B is 1 the Result is 0 and Carry out is 1
Acutally if you remember the X-OR gate as mentioned earlier, it would fit as the Result circuit as only 1 input must be 1 if output is true.
For the Carry out an AND gate would fit nicely, only being true if both inputs are true.
Now, I don't know if you can understand this, but think about it, if that AND & OR you write in google is the same kind of considerations used to run all digital things, the guys who invented the system don't really get enough credit, now do they? ( Considering the fact that all the advanced features there is ie. in your pc is build from these small and simple logical devices and simple boolean algebra )
If you did understand it, try thinking about how to subtract, multiply and so forth, its very amusing.
Well, enough from me for now... I hope you understood this and if any thing needs to be corrected please do so, I only wanted to indicate that boolean algebra is an extreemely wide and interesting branch of technology and logic.
Best regards
Thomas Hansen