Floor Ceiling Functions Excel

The tutorial explains the uses of round roundup rounddown floor ceiling mround and other excel rounding functions and provides formula examples to round decimal numbers to integers or to a certain number of decimal places extract a fractional part round to nearest 5 10 or 100 and more.

Floor ceiling functions excel. In mathematics and computer science the floor function is the function that takes as input a real number and gives as output the greatest integer less than or equal to denoted or similarly the ceiling function maps to the least integer greater than or equal to denoted or. Unlike roundup or rounddown function in excel floor and ceiling functions will round the decimal places of a value to be divisible by a number you specify. To round down and return an integer only use the int function. This is how ceiling function can be used to round up a value to the multiple of a number.

For example and while. Mod returns a remainder after a number is divided by a divisor mod number divisor ceiling rounds a number up to the nearest multiple of significance ceiling number significance. To round up to the nearest specified multiple use the ceiling function. 6 7 is rounded down to 6 while negative numbers with decimal values.

Here is what excel says about each. By default floor math rounds to the nearest integer using a significance of 1. Floor works like the mround function but floor always rounds down. Floor in excel is in the list of the basic rounding functions in excel though it works in a similar manner like mround function in excel the only difference is that it always pushes down the number to the nearest multiple of the significance.

Positive numbers with decimal values are rounded down to the nearest integer e g. If a number is already an exact multiple of significance no rounding occurs. To truncate decimal places use the trunc function. The ceiling and floor functions in excel are somewhat complimentary to the mod function.

Floor function in excel always rounds the value down towards zero and always returns a numeric value. And this is the ceiling function. The int function short for integer is like the floor function but some calculators and computer programs show different results when given negative numbers. Floor number significance ceiling number significance where the number is your starting point and the significance is the multiple you want your number rounded down to for floor or up to for ceiling.

How do the floor and ceiling functions work.