Discrete Mathematics Answers

2. Let B be a finite Boolean algebra and let A be the set of all atoms of B . Then prove that the Boolean algebra B is isomorphic to the Boolean algebra 𝑃(𝐴), where 𝑃(𝐴) is the power set of A .

1)

Simplify the following Boolean algebra 𝑎 + 𝑎′𝑏 + 𝑎′𝑏′𝑐 + 𝑎′𝑏′𝑐′𝑑 + 𝑎 𝑏 𝑐 𝑑′𝑒.

1)

Simplify the following Boolean algebra 𝑎 + 𝑎′𝑏 + 𝑎′𝑏′𝑐 + 𝑎′𝑏′𝑐′𝑑 + 𝑎 𝑏 𝑐 𝑑′𝑒.

1)

Simplify the following Boolean algebra 𝑎 + 𝑎′𝑏 + 𝑎′𝑏′𝑐 + 𝑎′𝑏′𝑐′𝑑 + 𝑎 𝑏 𝑐 𝑑′𝑒.

is o an element of {{o},empty set,{0,empty set}}

Restate the following proposition in the form of a biconditional, converse, inverse

and contrapositive.

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Conditional

:_____________________________________________

Converse :_____________________________________________

Inverse

:_____________________________________________

Contrapositive :