The greatest integer function is a function that results in the integer nearer to the given real number. It is also called the step function. The greatest integer function rounds off the given number to the nearest integer. Hence, the formula to find the greatest integer is very simple. It is represented by the symbol ⌊x⌋, where x is any value.
The greatest integer function is denoted by ⌊x⌋, for any real function. The function rounds – off the real number down to the integer less than the number. This function is also known as the Floor Function.
For example:
⌊1.15⌋ = 1
⌊4.56567⌋ = 4
⌊50⌋ = 50
⌊-3.010⌋ = -4