It is used in science and proofs of proofs in maths, taking an example:
Hypothesis: Bananas are red.
(There exists) x x (is an element of) Red (and) Banana
Banana (implies) Red
(not) Red (implies) (not) Banana
If a yellow banana is found,
(There exists) y y(is an element of)Banana (therefore) y(is an element of) Red
There is a contradiction, as the banana must be red, but it is yellow.
The above is not the only use, but Boolean algebra exclusively contains symbols of (not), (and), and (or).
AND, OR, and NOT are the basic operators in Boolean Algebra.
need help to simplify boolean expression
true or false
Boolean algebra is a division of mathematics that deals with operations on logical values and incorporates binary variables.
A Boolean variable is a variable from Boolean algebra having one of only two values.
The prototypical Boolean algebra; i.e. the Boolean algebra defined over the Boolean domain, has two elements in it: 0 and 1. For more information about Boolean algebra, please refer to the related link below.
J. Kuntzmann has written: 'Fundamental Boolean algebra' -- subject(s): Algebra, Boolean, Boolean Algebra
AND, OR, and NOT are the basic operators in Boolean Algebra.
Most likely it is called BOOLEAN ALGEBRA I.
A. G. Pinus has written: 'Boolean constructions in universal algebras' -- subject(s): Algebra, Boolean, Algebra, Universal, Boolean Algebra, Universal Algebra
George Boole invented Boolean algebra.
Chris A. Theodore has written: 'Boolean algebra and digital computers' -- subject(s): Algebra, Boolean, Boolean Algebra, Logic circuits
Denis Artem'evich Vladimirov has written: 'Boolesche Algebren [von] D.A. Vladimirov' -- subject(s): Algebra, Boolean, Boolean Algebra 'Bulevy algebry' -- subject(s): Algebra, Boolean, Boolean Algebra
true and false
One use of Boolean algebra is to minimize any function or logic gate.
Algebra is a very broad topic covering all sorts of things, including Boolean algebra. Boolean algebra in itself is the study of a variable called "Boolean." This variable can only take two values: true and false. See 'related links' for more information.
If you mean boolean algebra, in mathematics it refers to the subarea of algebra. In boolean algebra the values of the variables are based on true and false (truth values), denoted as 0 and 1 respectively.