Boolean notation refresher: in Boolean algebra, an overbar denotes the NOT operation. The plus sign corresponds to which logical operation?

Difficulty: Easy

Correct Answer: OR

Explanation:


Introduction / Context:
Boolean algebra uses compact symbols that map directly to logic gates. Remembering these mappings is essential for interpreting expressions and implementing them with gates.



Given Data / Assumptions:

  • Overbar indicates NOT (inversion).
  • We must identify the operation indicated by the plus sign.
  • Standard Boolean algebra conventions apply.


Concept / Approach:
By convention: multiplication (·) means AND, addition (+) means OR, and overbar (¯) means NOT. These symbols simplify algebraic manipulation like distribution, De Morgan’s laws, and minimization.



Step-by-Step Solution:
Recall symbol set: + → OR, · → AND, ¯ → NOT.Match the question: “plus sign” → OR.Select OR as the answer.



Verification / Alternative check:
Truth table equivalence: A + B equals 1 when A = 1 or B = 1 (inclusive OR).



Why Other Options Are Wrong:
AND/NAND/NOR: different operators; NAND/NOR are complements of AND/OR with inversion.None: incorrect because the standard symbol is well established.



Common Pitfalls:
Confusing inclusive OR with exclusive OR (XOR); XOR is usually denoted by ⊕ or a circled plus.



Final Answer:
OR

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