How is boolean algebra used to design digital circuitry?

Okay, so it's a big question. I'm a computer programming student interested in neural nets and electronics, so the questions tend to get kind of convoluted these days.





What I'm really curious about is this: Is there a way to take all the possible inputs for a digital circuit, and all the desired outputs, and use that information to design a logical schematic/boolean statement that will solve it? If so do you know how I would go about learning more?





(p.s. I've recently heard of a branch of mathematics called combinatorics that might be related to this.)

How is boolean algebra used to design digital circuitry?
Boolean algebra is very important in digital circuitry. In fact it is the basis for digital logic (it's where bits of information are grouped together from binary to be operated)





In fact binary is quite similar to boolean algebra, after all it is just 1s and 0s or 'ons' and 'offs'.





A good site to learn more is:


http://computer.howstuffworks.com/boolea...








Combinatorics does indeed relate to boolean algebra. Even basic combinatorics implement it to determine the total possible outcomes in operations such as Combinations and Permutations.
Reply:Boolean Algebra is used to design digital circuits.Boolean algebra simplifies the digital circuit.It gives an idea how a logic is implemented.