Data representation and boolean algebra notes

What are the 12 rules of Boolean algebra?
Boolean algebra is a branch of mathematics that deals with the manipulation of variables which can assume only two truth values, true or false, denoted by 1 and 0, respectively..
What is Boolean algebra PDF?
Boolean algebra is a branch of mathematics that deals with operations on logical values with binary variables.
The Boolean variables are represented as binary numbers to represent truths: 1 = true and 0 = false.
Elementary algebra deals with numerical operations whereas Boolean algebra deals with logical operations..
What is representation of data in computer notes?
Data in a computer system is represented in binary format, as a sequence of 0s and 1s, denoting 'off' and 'on' states respectively.
The smallest component of this binary representation is known as a bit, which stands for 'binary digit'.
A byte, on the other hand, generally encompasses 8 bits..
What is the Boolean algebra in short notes?
Boolean algebra is a branch of mathematics that deals with operations on logical values with binary variables.
The Boolean variables are represented as binary numbers to represent truths: 1 = true and 0 = false.
Elementary algebra deals with numerical operations whereas Boolean algebra deals with logical operations..
Boolean algebra is a branch of mathematics that deals with the manipulation of variables which can assume only two truth values, true or false, denoted by 1 and 0, respectively.

How do you represent a Boolean function?

0 = AB+C This function computes the logical AND of A and B and then logically ORs this result with C

If A=1, B=0, and C=1, then F 0 returns the value one (1•0 + 1 = 1)

Another way to represent a boolean function is via a truth table The previous chapter used truth tables to represent the AND and OR functions

Those truth tables took the forms:

The classic example is B = {true, false} with the operations AND, OR and NOT

Given a set S, the power set of S, P(S) is a Boolean algebra under the operations union, intersection and relative complement

Other, interesting examples exist