FREE ALU 101 Boolean Algebra Questions and Answers

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If 𝐴⋅𝐵=1, what can be concluded about A and B?

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The only way the product of two Boolean variables can be 1 is if both variables are 1.

Simplify the Boolean expression 𝐴⋅(B+C)

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Using the distributive law in Boolean algebra, the expression simplifies to A⋅B+A⋅C.

If A⋅B=1, what can be concluded about A and B?

Correct! Wrong!

The only way the product of two Boolean variables can be 1 is if both variables are 1.

What is the result of the Boolean expression A+A⋅B?

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By applying the Absorption Law, A+A⋅B simplifies to 𝐴

Which Boolean identity represents the expression 𝐴 ⋅¯A?

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The product of a variable and its complement is always 0.

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