Data representation and boolean algebra questions and answers

What is Boolean algebra answers?
Boolean algebra is the category of algebra in which the variable's values are the truth values, true and false, ordinarily denoted 1 and 0 respectively.
It is used to analyze and simplify digital circuits or digital gates.
It is also called Binary Algebra or logical Algebra..
What is the equivalent expression for the Boolean expression x y z +yz XZ?
What is the equivalent expression for the Boolean expression x'y'z +yz+ xz? Now, apply distributive law for the first two terms inside the bracket.
Therefore, x'y'z +yz+ xz = z.
Hence, the Boolean expression equivalent to x'y'z +yz+ xz is z..
What type of problems can be solved in Boolean algebra?
The Boolean algebra provides rigorous procedures for deciding whether a statement is true or false;if the statement can be expressed in two variables.
In Boolean algebra true is represented by a 1 and false by a 0..
Why is Boolean algebra important in computer systems?
Today, Boolean algebra is of significance to the theory of probability, geometry of sets, and information theory.
Furthermore, it constitutes the basis for the design of circuits used in electronic digital computers..
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 used to analyze and simplify the digital (logic) circuits.
It uses only the binary numbers i.e. 0 and 1.
It is also called as Binary Algebra or logical Algebra.
Boolean algebra was invented by George Boole in 1854.
What is the equivalent expression for the Boolean expression x'y'z +yz+ xz? Now, apply distributive law for the first two terms inside the bracket.
Therefore, x'y'z +yz+ xz = z.
Hence, the Boolean expression equivalent to x'y'z +yz+ xz is z.

What is an example of a Boolean algebra?

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

Categories

Data representation and boolean algebra questions and answers

What is Boolean algebra answers?

What is the equivalent expression for the Boolean expression x y z +yz XZ?

What type of problems can be solved in Boolean algebra?

Why is Boolean algebra important in computer systems?

What is an example of a Boolean algebra?