Boolean Algebra Quiz

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Questions and Answers

What is the complement of the sum of variables A and B?

  • $\overline{A}+B$
  • $\overline{A}+\overline{B}$
  • $A+\overline{B}$
  • $\overline{A+B}$ (correct)

What is the complement of the product of variables A and B?

  • $\overline{A}+B$
  • $\overline{AB}$ (correct)
  • $A+\overline{B}$
  • $\overline{A}+\overline{B}$

What does the expression $A+B+C$ simplify to?

  • $A+B$
  • $A+B+C$ (correct)
  • $A+BC$
  • $AB+BC+CA$

Which law of Boolean algebra does the expression $A(B+C)$ illustrate?

<p>Distributive law (C)</p> Signup and view all the answers

What is the result of the expression $(A+B)(A+\overline{B})$?

<p>$A+B$ (A)</p> Signup and view all the answers

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Study Notes

Boolean Algebra

  • The complement of the sum of variables A and B is $\overline{A+B}$.
  • The complement of the product of variables A and B is $\overline{AB}$.

Simplification of Expressions

  • The expression $A+B+C$ simplifies to a single variable representing the union of A, B, and C.

Laws of Boolean Algebra

  • The expression $A(B+C)$ illustrates the distributive law of Boolean algebra.

Expression Simplification

  • The expression $(A+B)(A+\overline{B})$ simplifies to A, which represents the union of A and the intersection of A and the complement of B.

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