Floor Function Calculator
Can be positive, negative, or decimal
Result
How to Use
- Enter any number (positive, negative, or decimal)
- Click "Calculate" to see the result
- The calculator will show the floor value and explain the calculation
What is the Floor Function?
The floor function, denoted by ⌊x⌋, returns the greatest integer less than or equal to x. It rounds a number down to the nearest integer.
⌊x⌋ = greatest integer ≤ x
Example: ⌊3.7⌋ = 3
Example: ⌊-3.7⌋ = -4
Properties of the Floor Function
| Property | Description | Example |
|---|---|---|
| Positive Numbers | Rounds down to nearest integer | ⌊4.9⌋ = 4 |
| Negative Numbers | Rounds towards negative infinity | ⌊-4.9⌋ = -5 |
| Integers | Returns the same number | ⌊5⌋ = 5 |
Applications
- Rounding down in calculations
- Integer division in programming
- Discrete mathematics
- Number theory
- Computer science algorithms
Common Examples
Positive Numbers:
- ⌊3.14⌋ = 3
- ⌊5.99⌋ = 5
- ⌊10.0⌋ = 10
Negative Numbers:
- ⌊-3.14⌋ = -4
- ⌊-5.99⌋ = -6
- ⌊-10.0⌋ = -10
Advertisement Space