2nd/10_Wiki/Dev/Topic_C/C_Operators_Precedence.md

id, title, category, status, verification_status, canonical_id, aliases, duplicate_of, source_trust_level, confidence_score, created_at, updated_at, review_reason, merge_history, tags, raw_sources, applied_in, github_commit

id	title	category	status	verification_status	canonical_id	aliases	duplicate_of	source_trust_level	confidence_score	created_at	updated_at	review_reason	merge_history	tags	raw_sources	applied_in	github_commit
c-operators-precedence	C Operator Precedence	Programming_Language	draft	conceptual		order of operations parentheses precedence C 연산자 우선순위		B	0.84	2026-07-04	2026-07-04			c programming-language w3schools operators precedence	https://www.w3schools.com/c/c_operators_precedence.php

C Operator Precedence

🎯 한 줄 통찰 (One-line insight)

Same-precedence operators like + and - are evaluated strictly LEFT TO RIGHT, not right-to-left or by some other rule — 10 - 2 + 5 equals (10 - 2) + 5 = 13, not 10 - (2 + 5) = 3 — meaning precedence alone doesn't fully determine evaluation order for operators at the same tier; associativity direction matters too, and parentheses are the only reliable way to override either. [S1]

🧠 핵심 개념 (Core concepts)

• Precedence hierarchy (highest to lowest) — () parentheses → *///% → +/- → comparison (>,<,>=,<=) → equality (==,!=) → && → || → =. [S1]
• Multiplication before addition — 2 + 3 * 4 evaluates the * first, giving 14, not 20. [S1]
• Parentheses override precedence entirely — (2 + 3) * 4 forces the addition first, giving 20. [S1]
• Left-to-right associativity for same-tier operators — 10 - 2 + 5 evaluates as (10 - 2) + 5 = 13 since - and + share the same precedence tier and are evaluated left to right. [S1]

📖 세부 내용 (Details)

• Precedence demonstration: int result1 = 2 + 3 * 4; // 2 + 12 = 14 versus int result2 = (2 + 3) * 4; // 5 * 4 = 20. [S1]
• Left-to-right associativity demonstration: int result1 = 10 - 2 + 5; // (10 - 2) + 5 = 13 versus int result2 = 10 - (2 + 5); // 10 - 7 = 3. [S1]

⚖️ 모순 및 업데이트 (Contradictions & updates)

• 동일 우선순위 연산자의 결합 방향: +와 -가 같은 우선순위 등급이라도 왼쪽에서 오른쪽으로 순서대로 계산된다는 점이 별도로 확인되며, 괄호 없이는 이 순서를 바꿀 수 없다는 것이 강조됨. [S1]

🛠️ 적용 사례 (Applied in summary)

현재 발견된 실제 적용 사례가 없습니다 — 계산 순서가 애매할 때 항상 괄호를 사용하라는 권고가 이 챕터 전체를 관통하는 실전 원칙이다. [S1]

💻 코드 패턴 (Code patterns)

Same-precedence operators evaluate strictly left to right unless parentheses override it (C):

int result1 = 10 - 2 + 5;   // (10 - 2) + 5 = 13
int result2 = 10 - (2 + 5); // 10 - 7 = 3

✅ 검증 상태 및 신뢰도

• 상태: draft
• 검증 단계: conceptual
• 출처 신뢰도: B (W3Schools — widely used educational reference, not a primary standards body)
• 신뢰 점수: 0.84
• 중복 검사 결과: 신규 생성 (New discovery)

🔗 지식 그래프 (Knowledge Graph)

• 상위/루트: C Tutorial
• 관련 개념: C Bitwise Operators, C Strings
• 참조 맥락: 연산자 섹션 마지막 — 문자열(Strings) 섹션으로 이어짐.

📚 출처 (Sources)

• [S1] W3Schools — C Operator Precedence — https://www.w3schools.com/c/c_operators_precedence.php

📝 변경 이력 (Change history)

• 2026-07-04: Initial draft synthesized from the W3Schools "C Operator Precedence" page (Astra wiki-curation, P-Reinforce v3.1 format).