Use floor division operator // or the floor() function of the math module to get the floor division of two integers.The Excel CEILING function rounds a number up to a given multiple.If the numerator is N and the denominator D, then this equation N = D * ( N // D) + (N % D) is always satisfied.Python uses // as the floor division operator and % as the modulo operator.
#Negative minus negative number code#
Print(floor(a/b)) # -4 Code language: Python ( python ) It’s also true for the negative numbers: from math import floor
Print(floor(a/b)) # 3 Code language: Python ( python )Īs you can see clearly from the output, the floor() function returns the same result as the floor division operator ( //). The floor() function of the math module returns the floor division of two integers. The following table illustrates the floor division of two integers a and b: a 4 Code language: plaintext ( plaintext ) The following example uses the floor division operators with positive and negative integers: a = 10 The floor division is the same as truncation only when the numbers are positive. Notice that the floor division of a number is not always the same as truncation. The floor division can be defined as: n // d = floor(n/d) Code language: plaintext ( plaintext ) floor(-3.4) = -4įloor(-3) = -3 Code language: plaintext ( plaintext ) Similarly, the floor of -3.9 also returns -4. However, you should pay attention when it comes to negative numbers.įor example, the floor of -3.4 returns -4, not -3 based on the floor definition.
And the floor of 3 is 3 obviously: floor(3.4) = 4įloor(3) = 3 Code language: plaintext ( plaintext )įor the positive numbers, it would be easy to understand the definition. In other words: floor(r) = n, n is an integr and n <= r Code language: plaintext ( plaintext )įor example, the floor of 3.4 is 3 because 3 is the largest integer less than or equal to 3.4. The floor of a real number is the largest integer less than or equal to the number. To understand the floor division, you first need to understand the floor of a real number. Generally, if N is the numerator and D is the denominator, then the floor division and modulo operators always satisfy the following equation: N = D * ( N // D) + (N % D) Code language: plaintext ( plaintext ) The floor division in Python You’ll learn about the modulo operator in the following tutorial.īoth floor division and modulo operators satisfy the following equation: 101 = 4 * (101 // 4) + (101 % 4)ġ01 = 4 * 25 + 1 Code language: plaintext ( plaintext ) This tutorial focuses on the floor division operator. And the % is called the modulo operator or mod. The // is called the floor division operator or div. Python uses two operators // and % that returns the result of the division: 101 // 4 = 25ġ01 % 4 = 1 Code language: plaintext ( plaintext ) Or put it in another way: 101 = 4 * 25 + 1 Code language: plaintext ( plaintext ) In other words: 101 / 4 = 25 with remainder 1 Code language: plaintext ( plaintext )
The integer division 101 / 4 returns 25 with the remainder 1. In this division, 101 is called a numerator ( N) and 4 is called a denominator ( D). Suppose you have a division of two integers: 101 / 4 Summary: in this tutorial, you’ll learn about Python floor division operator (//) or mod.
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