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Questions and Answers
What is the complement of the sum of variables A and B?
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?
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?
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?
Which law of Boolean algebra does the expression $A(B+C)$ illustrate?
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What is the result of the expression $(A+B)(A+\overline{B})$?
What is the result of the expression $(A+B)(A+\overline{B})$?
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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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