5 Questions
What is the complement of the sum of variables A and B?
$\overline{A+B}$
What is the complement of the product of variables A and B?
$\overline{AB}$
What does the expression $A+B+C$ simplify to?
$A+B+C$
Which law of Boolean algebra does the expression $A(B+C)$ illustrate?
Distributive law
What is the result of the expression $(A+B)(A+\overline{B})$?
$A+B$
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.
Test your knowledge of Boolean algebra with this quiz on Boolean variables, functions, expressions, and the laws governing them. Explore topics such as AND laws, OR laws, distributive laws, Redundant Rule, Idempotent laws, Absorption laws, and De Morgan’s Theorem.
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