The boolean expression A · B represents which of the following:Question 8Select one:a.A AND Bb.A OR Bc.A AND NOT Bd.A NAND B

Break Down the Problem

To determine what the Boolean expression $A \cdot B$ represents, we need to analyze the structure of the expression and the meanings of the symbols involved.

Relevant Concepts

• In Boolean algebra, the symbol $\cdot$ is commonly used to represent the AND operation.
• The AND operation, denoted as $A \land B$, results in true if both $A$ and $B$ are true; otherwise, it is false.

Analysis and Detail

1. Expression Analysis: The expression $A \cdot B$ implies that both $A$ and $B$ must be true for the overall expression to be true.
2. Choice Evaluation:
   • a. A AND B: This indicates that the result will be true if both $A$ and $B$ are true. This matches our interpretation of $A \cdot B$.
   • b. A OR B: This is a different operation (disjunction), where the result is true if either $A$ or $B$ is true.
   • c. A AND NOT B: This specifies that $A$ is true while $B$ is false, which does not accurately describe $A \cdot B$.
   • d. A NAND B: The NAND operation is the negation of AND, which is true unless both $A$ and $B$ are true. This also does not fit.

Verify and Summarize

After analyzing the meaning of the expression and the options provided, it's clear that the expression $A \cdot B$ only corresponds to the option that describes the AND operation.

Final Answer

The Boolean expression $A \cdot B$ represents a. A AND B.