More Questions from Digital Computer Electronics

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

Computer Science Digital Computer Electronics Difficulty: Easy
Choose an option
  • A
    AND
  • B
    OR
  • C
    NAND
  • D
    NOR
  • E
    None of the above

Answer

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

Discussion & Comments
No comments yet. Be the first to comment!
Join Discussion