XOR notation in Boolean algebra: Assess the statement: “The exclusive-OR operation is denoted by a plus sign with a circle around it in Boolean equations.”

Introduction / Context:In symbolic logic and digital design, standard operators use consistent notation across textbooks and datasheets. The exclusive-OR function (XOR) has a distinctive symbol to distinguish it from ordinary OR. Recognizing the correct symbol avoids ambiguity in equations and schematics.

Given Data / Assumptions:

• Standard Boolean operators: + for OR, · for AND, overbar or prime for NOT.
• XOR has a special symbol to avoid confusion with inclusive OR.
• We assume positive logic conventions.

Concept / Approach:The common notation for XOR is a plus inside a small circle, read as “circle plus,” often written as ⊕. In ASCII text, authors may write “XOR” or use the caret ^ symbol, but the circle-plus is the canonical printed symbol in Boolean algebra.

Step-by-Step Solution:

Verification / Alternative check:Check a typical identity: A ⊕ B = ĀB + AB̄. Here ⊕ is the circle-plus notation, confirming the standard usage.

Why Other Options Are Wrong:

Common Pitfalls:Confusing XOR with OR (+) or with plus in arithmetic; misreading symbols in low-resolution prints.

Final Answer:Correct