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Home/Mathematics/Math Tools/Floor Calculator
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Floor Calculator

Calculate the floor of a number — the largest integer less than or equal to the given value. Essential for programming, discrete mathematics, and scenarios requiring rounding down.

Updated 2025-01-152 min readCalzyra Math Team
HomeMathmath toolsFloor Calculator

Floor Calculator

Calculate the floor of a number — the largest integer less than or equal to the given value. Essential for programming, discrete mathematics, and scenarios requiring rounding down.

Formula⌊x⌋ = max{ n ∈ Z : n ≤ x }

Enter Values

Enter any real number.

About This Formula

The floor function ⌊x⌋ returns the largest integer that is less than or equal to x. For example, ⌊4.7⌋ = 4 and ⌊-4.7⌋ = -5. For integers, ⌊n⌋ = n.

Formula & Methodology

How this calculator works

⌊x⌋ = max{ n ∈ Z : n ≤ x }

The floor function ⌊x⌋ returns the largest integer that is less than or equal to x. For example, ⌊4.7⌋ = 4 and ⌊-4.7⌋ = -5. For integers, ⌊n⌋ = n.

Frequently Asked Questions

Common questions about this calculator

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