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Floor & Ceiling Functions Calculate floor and ceiling of a real number.

Result

Calculated result 3 Based on the values entered.
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Floor & Ceiling Functions Calculate floor and ceiling of a real number. — free online calculator.

Formula

floor(x) = largest integer ≤ x; ceil(x) = smallest integer ≥ x
  • Floor & Ceiling Functions Calculate floor and ceiling of a real number. calculates its result from x. It uses the formula floor(x) = largest integer ≤ x; ceil(x) = smallest integer ≥ x. Change any input to recalculate the result instantly.
  • The main inputs are x. Enter them in the units and format shown in the calculator.
  • Keep comparable quantities in compatible units whenever the formula combines or compares them.
  • Changing any input above recalculates the result with the same calculation engine used by this page.

Example: Floor & Ceiling Functions Calculate floor and ceiling of a real number.

Inputs
  • x: 3.8

Using x = 3.8, the calculated result is 3.

Sample result: Calculating…

Frequently asked questions

What does the Floor & Ceiling Functions Calculate floor and ceiling of a real number. calculate?

Floor & Ceiling Functions Calculate floor and ceiling of a real number. — free online calculator.

Which values should I enter?

Enter x using the units and format shown beside each field.

What formula does this calculator use?

The calculator uses the following relationship: floor(x) = largest integer ≤ x; ceil(x) = smallest integer ≥ x.

Why might my result differ from another source?

Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.

Does the result update automatically?

Yes. Changing an input updates the result using the same calculation engine shown on this page.

Page information

Updated: October 7, 2026