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Bitwise OR Operation

OR returns 1 when at least one input bit is 1; only 0|0 gives 0. Use OR to set flags and combine permissions without clearing others.

Concept Fundamentals
3
Basic Gates
1
OR=0 Case
4
Truth Rows
8
Bits/Byte

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value | (1 << n) sets bit n without clearing others. chmod 755 = 4|2|1 for owner, 4|1 for group/others. OR is idempotent: A | A = A.

Key quantities
3
Basic Gates
Key relation
1
OR=0 Case
Key relation
4
Truth Rows
Key relation
8
Bits/Byte
Key relation

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Why: OR is one of three basic logic gates. Unix chmod uses OR: 4|2|1 = read|write|execute.

How: Compare each bit: if either is 1, result is 1. Only 0|0 gives 0.

value | (1 << n) sets bit n without clearing others.chmod 755 = 4|2|1 for owner, 4|1 for group/others.
Sources:MDN Bitwise ORWikipedia - Bitwise operation

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Start CalculatingSet flags, combine permissions. A | B = 1 when either bit is 1.
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BITWISE

OR Operation — Bitwise Combining & Flag Setting

Set bits, combine permissions, merge colors. A | B = 1 when either bit is 1.

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For educational and informational purposes only. Verify with a qualified professional.

🧮 Fascinating Math Facts

📁

Unix chmod uses OR: 4|2|1 = read|write|execute.

— POSIX

🎨

Red (FF0000) | Blue (0000FF) = Magenta (FF00FF).

— Graphics

📋 Key Takeaways

  • • OR returns 1 when at least one input bit is 1; only 0|0 gives 0
  • • Use OR to set flags — combine permission bits without clearing others
  • • Bitwise | vs Logical ||: | operates on bits; || on booleans
  • • OR is idempotent for same value: A | A = A

💡 Did You Know?

🔌OR gates are one of the three basic logic gates (AND, OR, NOT) that form all digital circuitsSource: Digital Logic
📁Unix chmod uses OR: 4|2|1 = read|write|execute. chmod 755 = 4|2|1 for owner, 4|1 for othersSource: POSIX
🎨Color mixing in hex: Red (FF0000) | Blue (0000FF) = Magenta (FF00FF)Source: Graphics
🌐Network broadcast addresses use OR: host IP | ~subnet = broadcastSource: Networking
⚙️Hardware registers use OR to set multiple control bits without affecting othersSource: Embedded
🧮OR is commutative: A | B = B | A. And associative: (A|B)|C = A|(B|C)Source: Boolean Algebra

📖 How OR Works

OR compares each bit position. If either bit is 1, the result is 1. Only when both are 0 is the result 0.

10110101 | 11001010 = 11111111
bit 7: 1|1=1, bit 6: 0|1=1, bit 5: 1|0=1, ... bit 0: 1|0=1

🎯 Expert Tips

💡 Set flags without clearing

Use OR to enable bits: flags |= MASK. AND clears; OR sets.

💡 Combine permissions

read|write|execute = 4|2|1 = 7. Add permissions without touching others.

💡 Default values

value | default ensures all bits in default are set. Useful for config merging.

💡 Hex for readability

0xFF | 0x0F = 0xFF. Hex groups 4 bits — easier to reason about masks.

⚖️ OR vs AND vs XOR

OperationResult whenUse case
OR (|)Either bit is 1Set flags, combine permissions
AND (&)Both bits are 1Mask/clear bits, check flags
XOR (^)Bits differToggle bits, parity, swap

❓ Frequently Asked Questions

What is the difference between logical OR (||) and bitwise OR (|)?

Logical OR (||) operates on boolean expressions and short-circuits — returns true/false. Bitwise OR (|) operates on each bit of integers and returns a new number. Use | for flags and masks.

How do I set a specific bit using OR?

OR with a mask that has 1 in the desired position: value | (1 << n) sets bit n. Example: 0 | 4 sets bit 2.

Can OR be used for file permissions?

Yes. Unix uses 4=read, 2=write, 1=execute. 4|2 = 6 gives read+write. chmod uses OR to add permissions.

Why does 255 | 0 = 255?

OR keeps all 1s from either operand. 255 = 11111111, 0 = 00000000. 1|0 = 1, so result is 11111111 = 255.

How does OR work with hexadecimal?

Same as binary — each hex digit is 4 bits. 0xFF | 0x0F = 0xFF. The operation is performed bit-by-bit.

When would I use OR instead of AND?

OR sets bits; AND clears/checks them. Use OR to enable options. Use AND to test if a flag is set (value & mask) or to clear bits.

Is OR commutative?

Yes. A | B = B | A. Order does not matter.

What is the OR truth table?

0|0=0, 0|1=1, 1|0=1, 1|1=1. Result is 1 whenever at least one input is 1.

📊 Bitwise OR by the Numbers

3
Basic gates (AND, OR, NOT)
1
Case where OR = 0 (0|0)
4
OR truth table rows
8
Bits in a byte

⚠️ Disclaimer: This calculator is for educational and programming use. Bitwise operations on signed integers may behave differently across languages (two's complement). Verify results in your target environment.

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