Question

Definition of boolean function,boolean algebra and boolean number system

Answer 1

In mathematics and logic, a (finitary)Boolean function (or switchingfunction) is a function of the form ƒ : Bk → B, where B = {0, 1} is a Booleandomain and k is a non-negative integercalled the arity of the function. ... There are 22k k-ary functions for every k.

Answer 2

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We can use these “Laws of Boolean” to both reduce and simplify a complex Boolean expression in an attempt to reduce the number of logic gates required. Boolean Algebra is therefore a system of mathematics based on logic that has its own set of rules or laws which are used to define and reduce Boolean expressions.