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mathematical expression for logic gates. The Boolean expression to indicate an Exclusive-OR or Exclusive-NOR function is to a symbol with a plus sign inside a circle. Boolean Algebra is the mathematics we use to analyse digital gates and circuits.
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XOR A XOR B A OR B AND NOT A AND B Intutively XOR is exclusive OR ie A OR B but not both. Boolean algebra represents the mathematics of Digital Electronics Circuits. Exclusive or or exclusive disjunction is a logical operation that outputs true only when inputs differ one is true the other is false.
The switching actions of both of these types of gates can be created using the above standard logic gates.
Well discuss some important derived logic gates here. It shows that NOR gate outputs logic high value if both the inputs are at low logic level. In this case we would begin with the sub-expression A C which is an OR gate. 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.
