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.
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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.