Arithmetic & Number Theory
Floor
Largest integer ≤ x.
Formula
Formula
y = ⌊x⌋
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| x | input | real number (ℝ) | — | input |
| y | floored value | computed result | — | result |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givenx = 3.7
Result3
Example 2
Givenx = -2.1
Result-3