Variables

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  1. What is a Boolean Variable?

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  2. Create a table demonstrating the Boolean Operations complement, addition, and multiplication. { ¯,+,·}_x000D_
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    note: you can use ’ instead of the overline in this project

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  3. Calculate the result for the boolean function: f(x,y) = (x∙y) + (x∙ȳ) for the following inputs_x000D_
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    x = 1 and y = 1 : f(1,1) = ?_x000D_
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    x = 0 and y = 1 : f(0,1) = ?

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  4. How many Boolean functions on two variables are there?

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  5. What does functionally complete mean?

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  6. What is a literal? Given the Boolean Variables x and y, what are the associated four literals?

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  7. What is a minterm? Given the Boolean Variables x and y, what are the associated four minterms? Identify the four functions from the Table 3 that correspond to each minterm.

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  8. What is disjunctive normal form?

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