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Definitions : Boolean variable, Boolean expressions, Boolean algebra, Functionally complete, Inverter, AND gate, Half adder, Full adder and Prime implicant of a Boolean function.

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On the following terms could you please give my an English text description - in your own words. Thanks.

1. Boolean variable:
2. Boolean expressions:
3. Boolean algebra:
4. Functionally complete:
5. Inverter:
6. AND gate:
7. Half adder:
8. Full adder:
9. Prime implicant of a Boolean function:

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Definitions for Boolean variable, Boolean expressions, Boolean algebra, Functionally complete, Inverter, AND gate, Half adder, Full adder and Prime implicant of a Boolean function are provided.

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1. Boolean variable: a variable which can take only two values (Boolean values) say, for example, TRUE or FALSE, 1 or 0.
2. Boolean expressions: An expression which contains Boolean variables is an Boolean expression and on evaluation results in an Boolean value.
3. Boolean algebra: A Boolean algebra is a set B together with two ...

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