Math

Floor Function Calculator

Round a number down to the nearest integer.

Calculated Output

⌊x⌋ 4

Formula: ⌊x⌋ = largest integer ≤ x

Step-by-Step Breakdown

1. Values used:

2. Number = 4.8

4. ⌊x⌋ = 4

Did this calculator solve your problem today?

The math behind it

⌊x⌋ is the largest integer that is less than or equal to x. It rounds toward negative infinity.

⌊4.8⌋ = 4, and ⌊−4.2⌋ = −5.

Is floor the same as truncation?

For positives yes, but for negatives floor goes further down: ⌊−4.2⌋ = −5 while truncation gives −4.