In The Middle Of 19th Century ,an English mathematician George Boole developed rules for manipulations of binary variables, known as Boolean Algebra. This is the basis of all digital systems like computers, calculators etc. 0and 0=0 0 and 1=0 1 and 0=0 1 and 1=1.
He did not develop his Boolean Algebra until he became a professor in Ireland. (Cork I think.)
There is a well developed article in wikipedia.org.
De Morgan's theorem is used to help simplify Boolean Expressions. Digital Circuits can be simplified by the application of this theorem.
There is a dual for every Boolean operation. For example the dual of (a AND b) is not(not A or not B). The first says TRUE if a and b are both TRUE. The second says that FALSE if a is FALSE or b is FALSE. Both statements are equivalent. This equivalency is also referred to by DeMorgan's Theorem.
what is the contribution George Boolean to the development of Boolean operations
George W. Boolean. AK
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.
Boolean Theory is used to make Boolean Equations easier to perform. It offers theories for solving single and multiple variables.
De Morgan's theorem is used to help simplify Boolean Expressions. Digital Circuits can be simplified by the application of this theorem.
In computational complexity theory, Cook's theorem, also known as the Cook–Levin theorem, states that the Boolean satisfiability problem is NP-complete. That is, any problem in NP can be reduced in polynomial time by a deterministic Turing machine to the problem of determining whether a Boolean formula is satisfiable.
There is a dual for every Boolean operation. For example the dual of (a AND b) is not(not A or not B). The first says TRUE if a and b are both TRUE. The second says that FALSE if a is FALSE or b is FALSE. Both statements are equivalent. This equivalency is also referred to by DeMorgan's Theorem.
Mauricio Karchmer has written: 'Communication complexity' -- subject(s): Automatic theorem proving, Boolean Algebra, Computational complexity, Logic circuits
AND operation is referred as a boolean product
AND boolean
what is boolean operator
A Boolean variable is a variable from Boolean algebra having one of only two values.
what is the contribution George Boolean to the development of Boolean operations
what is boolean data type
it is a thing that indicates that a boolean is close