Last updated: July 31, 2026
Floor Function Calculator
Creators
Dharmendra SinghReviewers
Creators
Dharmendra SinghReviewers
Creators
Dharmendra SinghReviewers
Creators
Dharmendra SinghReviewers
Formula
floorValue = ⌊x⌋, fractionalPart = x - ⌊x⌋
Where:
- numberValue=Number Value
Worked Examples
Positive decimal
Evaluate floor of 8.93.
- 1Locate the greatest integer ≤ 8.93
- 2That integer is 8
- 3Fractional part = 8.93 - 8 = 0.93
Negative decimal
Evaluate floor of -2.1.
- 1For negatives, floor moves to the next lower integer
- 2⌊-2.1⌋ = -3
- 3Fractional part = -2.1 - (-3) = 0.9
Whole number
Evaluate floor of 12.
- 1Input is already an integer
- 2Floor stays 12
- 3Fractional part = 0
Introduction
The floor function is a core discrete math tool that maps any real number to the greatest integer not exceeding it.
Formula and Method
Floor Function Calculator applies floorValue = ⌊x⌋, fractionalPart = x - ⌊x⌋ and returns deterministic outputs from validated inputs.
Validate each required input
Apply the stated formula
Round numeric outputs where needed
Return safe defaults when validation fails
Input Fields
Use these keys exactly as defined in calculation.ts.
- 1
numberValue: Number Value
Output Fields
These values map directly to calculation.ts return keys.
- 1
floorValue: Greatest integer less than or equal to the input
- 2
fractionalPart: Non-negative part remaining after floor
Validation Rules
Input must be a finite number.
Finite numeric values are required
Domain restrictions are enforced before solving
Invalid input returns default-safe outputs
Check examples to confirm expected behavior
How to Use This Calculator
Enter inputs, run the calculation, and read the primary output first.
Enter all required values
Click calculate
Review primary output first
Use supporting outputs for interpretation
Practical Uses
This calculator is useful for study, verification, and fast applied math checks.
Step-function modeling
Computer science proofs
Rounding policy checks
Piecewise function analysis
FAQs
What does the Floor Function Calculator compute?
It computes Floor Value and supporting outputs from your inputs.
Which inputs are required?
Required inputs are: Number Value.
How are invalid inputs handled?
When validation fails, the calculator returns safe default values and does not attempt invalid math.
Are results rounded?
Yes. Numeric outputs are rounded inside calculation.ts (typically to 6 decimal places).
Can I use negative or decimal values?
Yes. Positive, negative, and decimal numbers are all valid when finite.
How should I verify my answer?
Use the worked examples and compare each output key with your manual steps.