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Boolean Algebra is the study of the algebra of logic whilst Mathematical logic is a way of applying Boolean algebra. Other applications include set theory, digital logic and probability.
Boolean algebra is used in logic circuits. Using And, Nor, Xor and Nand gates to determine the state of an output, dependant on the condition of various inputs. Or, if you like, to make a fixed decision based on the inputs. When designing a logic circuit, it is easy to get confused by too many steps in the process to get the answer that you want. By using Boolean algebra, the steps can be rationalised and reduce to the minimum number of steps, before committing to a finished physical circuit.
Boolean Algebra is a type of math in which the values of the variables are true and false. The algebra is the basis for digital logic, computer programming and mathematical logic.
One use of Boolean algebra is to minimize any function or logic gate.
Boolean algebra is a mathematical method used to describe the behavior and operation of digital logic. Boolean descriptions and relationships can help us design logic and predict the behavior of more complex digital systems.