Boolean algebra operator symbols In standard Boolean algebra used for digital logic design, which logical operation is represented by the plus sign (+)?

Introduction / Context:
Boolean algebra provides a compact symbolic way to describe the behavior of logic circuits. Knowing which symbols correspond to which operations is essential when reading datasheets, simplifying expressions, or designing gate-level implementations.

Given Data / Assumptions:

• The question concerns the conventional symbols used in positive logic Boolean algebra.
• The plus sign (+) appears between Boolean variables (for example, A + B).
• We assume standard textbook conventions (not arithmetic addition).

Concept / Approach:

In Boolean algebra: the plus sign (+) denotes the logical OR operation; the dot (·) or adjacency denotes logical AND; and a bar, prime, or overline denotes logical NOT (inversion). Thus, A + B means A OR B; A · B (or AB) means A AND B; and A' (or Ā) means NOT A.

Step-by-Step Solution:

Verification / Alternative check:

Truth tables confirm that A + B equals 1 when either A or B (or both) are 1, exactly the behavior of an OR gate. This aligns with logic symbols used across 74xx/40xx families and HDL textbooks.

Why Other Options Are Wrong:

• Inversion / complementation uses a bar or prime, not +.
• AND uses a dot or adjacency (AB), not +.
• XOR is typically written as A ⊕ B, not A + B.

Common Pitfalls:

• Confusing arithmetic addition with Boolean OR. In Boolean algebra, 1 + 1 = 1.
• Mixing operator precedence; typically NOT applies first, then AND, then OR.

Final Answer:

OR