CALCULATE WITH CONFIDENCE

Number Fundamentals & Precision

Ceiling Function Calculator

Find the smallest integer that is not less than a decimal.

Exact arithmetic

Find the least integer above

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  1. 1EnterProvide the known values
  2. 2CalculateResults update automatically
  3. 3VerifyReview the details and units
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Ceiling

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Understand the subject

What is the ceiling function?

Ceiling chooses the first whole number at or above a value.

Use it when partial units still require a full unit: containers, trips, batches, pages, or people-per-vehicle capacity.

The key rule

What stays true

See the idea

Visual explanation

Example

Apply it

ceil(−1.2) = −1

For negative values, ceiling moves toward positive infinity—not away from zero.

Quick guide

How to use this calculator

  1. Enter a finite decimal.
  2. Read the least integer greater than or equal to it.
  3. Notice that negative values move toward positive infinity.

Calculation method

Ceiling points upward

An integer remains unchanged. Any positive fractional remainder advances to the next integer; a negative fractional value discards its fraction toward positive infinity.

Worked example

Ceiling of a negative decimal

−1 is the smallest integer that is still greater than −1.2.

ceil(−1.2) = −1

Supported inputs

Precision and limits

Exact decimal input

Finite decimals use integer-scaled arithmetic, with no binary floating-point conversion.

Input boundary

Unless stated otherwise, use at most 200 digits total and 100 digits after the decimal marker.