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Also known as: OR
A bitwise operation producing 1 when at least one input bit is 1.
DESCRIPTION
Binary OR applies a per-bit inclusive disjunction, outputting 1 if any operand bit is 1. It is used to set flags, merge bitfields, and create masks. In hardware, OR gates implement the operation efficiently and predictably. Programmers use OR to enable options without disturbing existing set bits. Understanding OR’s precedence and interaction with AND and XOR prevents logic errors.
ALTERNATIVE DEFINITIONS
Wikipedia
A bitwise OR takes two bit patterns of equal length and performs the logical inclusive OR operation on each pair of corresponding bits.
Highlights inclusive OR applied per bit on equal-length operands.
NIST
A Boolean operator that yields TRUE if and only if at least one of its operands is TRUE.
Formal Boolean view underlying the bitwise operation semantics.
RELATED TERMS
Binary XOR Binary Math Boolean Algebra Bitwise Operation Logic Gate Flag Setting Bit Mask Truth Table Predicate
COMPETING TERMS
RELATIONS
- Broader: Binary Math Bitwise Operation
KNOWLEDGE AREAS
Mathematics Software Engineering
TARGET AUDIENCE
Software Developer Data Engineer Hardware Engineer
EXTERNAL SOURCES
- Wikipedia - Bitwise operation
- cppreference - C bitwise OR operator reference (|).
- Microsoft - C# bitwise OR operator details.
TOP QUESTIONS
When should I use Binary OR?
Use OR to set bits, merge flags, or combine bitfields so that any set bit in operands remains set in the result.
Category: Application
How does Binary OR differ from Binary XOR?
OR sets a bit if either operand bit is 1; XOR sets a bit only if exactly one operand bit is 1.
Category: Comparison
What common mistakes occur with Binary OR?
Using OR to clear bits (should use AND with a negated mask) and confusing OR with XOR for toggling bits.
Category: Mistakes
Is Binary OR associative and commutative?
Yes, it is both associative and commutative, enabling flexible grouping and ordering in expressions.
Category: Concept
How do I set specific bits with Binary OR?
Create a mask with 1s at positions to set, then compute value | mask.
Category: How To
Does Binary OR short-circuit like logical OR?
No, bitwise OR evaluates both operands fully; logical OR may short-circuit in high-level languages.
Category: Misunderstanding
How is Binary OR implemented in hardware?
With OR gates per bit, integrated in ALUs for efficient execution.
Category: Concept
Where is Binary OR used in systems programming?
File permission flags, CPU feature masks, and event flag merging frequently use OR.
Category: Application
How can I test Binary OR logic safely?
Write unit tests covering disjoint and overlapping masks and include all-zeros and all-ones edge cases.
Category: Testing