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Binary Input
Decimal: 10
Two's Complement
11110110
Decimal: -10
One's Complement
11110101
How to Use This Calculator
1
Enter Values
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2
Calculate
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View detailed breakdowns and explanations below.
📘 Two's Complement
To find two's complement:
- Flip all bits (one's complement)
- Add 1
Example: 5 = 00000101 → 11111010 → 11111011 = -5
🧠 Why Two's Complement?
- Only one representation of zero
- Addition/subtraction work the same
- No special circuitry needed
⚡ Applications
- CPUs: Standard for signed integers
- Programming: int, short, long types
✅ Key Takeaways
- MSB (leftmost bit) indicates sign: 0=positive, 1=negative
- Range for n bits: -2^(n-1) to 2^(n-1)-1
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