Operator symbols — identify Boolean multiplication Evaluate the statement: “Boolean multiplication is symbolized by A + B.” Determine whether this is correct or incorrect and recall the proper notation.

Introduction / Context:
Clear operator notation prevents errors when translating between algebraic forms and gate-level schematics. Confusing AND and OR symbols can lead to incorrect designs and analyses.

Given Data / Assumptions:

• Boolean variables A and B.
• Standard notation: “+” for OR, “·” (or adjacency) for AND.

Concept / Approach:
In Boolean algebra, addition corresponds to logical OR, and multiplication corresponds to logical AND. Therefore, A + B represents OR, while A · B (or simply AB) represents AND. The statement given swaps these meanings and is incorrect.

Step-by-Step Solution:
Map symbols to gates: “+” → OR gate, “·” → AND gate.Interpret the claim: It asserts OR symbol for multiplication, which is wrong.Conclude: The statement is incorrect.

Verification / Alternative check:
Compare truth-table behaviors: OR and AND are distinct for mixed inputs (e.g., A=1, B=0). Symbol misuse leads to contradictory results.

Why Other Options Are Wrong:
Context such as positive or active-LOW logic does not change algebraic symbol definitions; only signal polarity or inversion points change.

Common Pitfalls:
Using arithmetic intuition and transposing symbols; omitting the dot and implying wrong operation by adjacency alone.

Final Answer:
Incorrect