Boolean notation – does the “+” symbol represent the OR operation in Boolean equations?

Difficulty: Easy

Correct Answer: Correct

Explanation:


Introduction / Context:
Boolean algebra uses compact symbols to denote logic operations. Recognizing that “+” stands for OR is essential for reading and manipulating sum-of-products (SOP) and related forms in digital design.


Given Data / Assumptions:

  • Standard Boolean notation with “+” for OR and “*” (or adjacency) for AND.
  • NOT is indicated by a bar, prime, or explicit NOT().
  • We are not performing numeric arithmetic but logical operations.


Concept / Approach:
In Boolean algebra, “+” is logical OR, “*” is logical AND, and complement is inversion. These symbols are conventional and appear in textbooks, datasheets, and design tools. Therefore, the statement is correct.


Step-by-Step Solution:

1) Map symbols: OR → “+”, AND → “*”, NOT → overbar/prime.2) Example: Y = A + B means Y is 1 if A=1 or B=1 (or both).3) Compare with XOR: A ⊕ B is distinct and notated differently; “+” is not XOR.4) Conclusion: “+” represents OR in Boolean equations.


Verification / Alternative check:
Truth table for Y = A + B matches OR: 00→0, 01→1, 10→1, 11→1. Karnaugh maps and SOP forms also rely on “+” as the sum (OR) of product terms.


Why Other Options Are Wrong:
“Incorrect” denies widely accepted notation. “It means XOR” is wrong; XOR has its own symbol. “Logical addition only in arithmetic circuits” confuses arithmetic with logic, though the symbol resembles addition. “It denotes enable” is a signal label, not an operator.


Common Pitfalls:
Assuming “+” always implies numeric addition; in Boolean context it denotes logical OR. Context determines meaning: Boolean algebra vs integer arithmetic.


Final Answer:
Correct

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