Floor Division Calculator
Result
How to Use
- Enter the dividend (number to be divided)
- Enter the divisor (number to divide by)
- Click "Calculate" to see the result
- The calculator will show the floor division result and calculation steps
What is Floor Division?
Floor division is a mathematical operation that divides two numbers and rounds down to the nearest integer. It is denoted by the symbol "//" in many programming languages.
a // b = ⌊a/b⌋
Example: 7 // 2 = ⌊7/2⌋ = ⌊3.5⌋ = 3
Example: -7 // 2 = ⌊-7/2⌋ = ⌊-3.5⌋ = -4
Properties of Floor Division
| Property | Description | Example |
|---|---|---|
| Rounding Down | Always rounds down to the nearest integer | 5 // 2 = 2 |
| Negative Numbers | Rounds towards negative infinity | -5 // 2 = -3 |
| Zero Divisor | Not defined (division by zero) | 5 // 0 = Error |
Applications
- Array indexing in programming
- Grid-based calculations
- Integer division in algorithms
- Rounding down in mathematical problems
- Binary search implementations
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