How to calculate mod of negative number. Apr 24, 2015 · I am writing a program in assembly to calculate the modulus of a number. For instance, 5 % 2 returns 1 because the division of 5 by 2 has a remainder This tutorial shows how to find the inverse of a number when dealing with a modulus. 1/something just means the multiplicative inverse so which number multiplied by 67 reduces to 1 (mod 119)? May 14, 2024 · The Modulus Operator Math. How does she know? Without being a Gauss genius, she computes Modulo Calculator with Steps Looking to execute modulo operations on numbers? Well, your search ends here! With this modulo calculator, you can find the results of mod operations with steps. Jul 15, 2020 · Output: 15. Understanding how these operations work is significant because modulo operations are foundational in May 16, 2015 · The reason your calculator says 113 modulo 120 = 113 is because 113 < 120, so it isn't doing any division. Download the practice workbook, modify data, find new results and exercise! All About Modulo Calculator: Some math ideas are about measuring how much. If today is Apr 10, 2023 · Given a big number 'num' represented as string and an integer x, find value of "num % a" or "num mod a". Jun 28, 2011 · The modulo operator returns the remainder of a division. floorMod ()`? 3. It helps users perform modulo calculations that involve negative integers, offering clarity and precision in results. e. With a remainder operator, the sign of the result is the same as the sign of the dividend (numerator) while with a modulo operator the sign of the result is the same as the divisor (denominator). What's reputation and how do I get it? Instead, you can save this post to reference later. This would be helpful, because the a/b *b + a%b method is a little tedious. 5K subscribers Subscribed Use our Modulo Calculator to find the remainder when dividing two numbers. Output is expected as an integer. Free simple calculator for adding, subtracting, multiplying, dividing. JavaScript % (modulo) gives a negative result for negative numbers This answer: How does java do modulus calculations with negative numbers? What is Mod (Modulo) and how to calculate mod of any number. MATLAB will still calculate the modulus correctly but returns a negative output if the dividend is positive. Syntax: MOD(N, M) or N % M or N MOD M Parameter : MOD () function accepts two parameter as mentioned above and described below. 3. In this video, finding mod value for negative numbers is discussed. Learn how it works with addition, subtraction, multiplication, and division using rules. calculate anything, anytime, anywhere Free online calculators for everything. You’ve seen it in real life, even if you didn’t know it. Dec 10, 2012 · 4 You can add some multiple of 5 to the negative number first, to convert it to a positive number with the same value mod 5. Jun 4, 2020 · In a code written by me, I have used both below functions to calculate mod of displayed negative number. Modulo is a way of finding the remainder when one number is divided by another. Here’s a code snippet demonstrating the usage of the `mod` function in MATLAB: % Example: Calculate the remainder of 10 divided by 3 result = mod (10, 3); disp (result); % Outputs: 1 Understanding the Basics of Modulus Operation What is the Modulus There's remainder (Math, Num), but it doesn't accept negative arguments. Aug 1, 2025 · Simple online calculator with memory functions similar to a basic handheld calculator. N - The dividend i. So let’s move on and discuss this tricky concept in detail and check how this free calculator will help us to speed up our calculations. The free calculator allows you to quickly and accurately perform arithmetic, calculate percentages, raise to a power or take a root Your all-in-one online calculator for quick and precise basic to scientific calculations. Enter the desired number or expression whose mod value you want to find. But what happens when we want to circle back I always use my own mod function, defined as int mod(int x, int m) { return (x%m + m)%m; } Of course, if you're bothered about having two calls to the modulus operation, you could write it as int mod(int x, int m) { int r = x%m; return r<0 ? r+m : r; } or variants thereof. For example, to find 3−1 mod 10, we have only 8 numbers to try, that is, 2–9 (where we ignored 0 and 1). When this operator is placed between two numbers within the arithmetic expansion, it finds the remainder of the first number divided by the second number. The modular multiplicative inverse is an integer X such that: A X ≡ 1 (mod M) Oct 13, 2022 · How to calculate the modulus of negative numbers in java? #java #shorts CodeVerse 14. For example: 1 4 m o d 5 = 4 14 mod 5 = 4 because 5 fits into 14 twice, with 4 left over. Fast and user-friendly calculators. Modulo is about measuring what’s left. Syntax of Modulus Operator If x and y are integers, then the expression: x % y; pronounced as "x mod y". Note that nonzero results are always positive if the divisor is positive. For example -121 / 26 = -4 17/26, thus, mod is -17 which is +9 in mod 26. Turn on your scientific calculator. ) I'd bother to look it up if nanoseconds mattered, otherwise I just reduce it to analogous problem with positive numbers. So if at all it is negative, adding m to it will put May 24, 2024 · What is modular arithmetic with examples. Simply enter the real part and imaginary part of the complex number in the calculator below. Now, let A be an array of length 4. What happens if both the dividend and divisor are negative? 6. Upvoting indicates when questions and answers are useful. The modulo division operator produces the remainder of an integer division which is also called the modulus of the operation. . Scientific Calculator – supports complex equations and modulo is part of more advanced number theory computations. In Python, you can calculate the modulos of numeric types int and float. But how is the modulus of a negative number calculated? Example - -3 mod 12 = 1, -1 % 19 = 18. The knowledge of the syntax and parameters of this function is crucial for implementing it accurately in your calculations. Then $$ 2^ {-11}=13^ {11} $$ which you may compute by finding a pattern. till we get first positive number which is the answer Modulo Operation The modulo (or "modulus" or "mod") is the remainder after dividing one number by another. Modulus with Negative Divisors Similarly, the behavior of the `mod` function changes when the divisor is negative. ,The % (modulo) operator in JavaScript gives the remainder obtained by dividing two numbers. 2K The mod function defined as the amount by which number exceeds the largest integer multiple of the divisor that is not greater than that number. Jun 21, 2023 · Note: When the modulus n of the number system is small, it can be faster to just try an exhaustive search for the inverse. Probably closest to what processors at that time did in assembly. Symbolab: equation search and math solver - solves algebra, trigonometry and calculus problems step by step Aug 15, 2018 · I had a doubt regarding the ‘mod’ operator So far I thought that modulus referred to the remainder, for example $8 \\mod 6 = 2$ The same way, $6 \\mod 8 = 6$, since $8\\cdot 0=0$ and $6$ remains. And (in a perfect world) given -321, your modulo/division returns { -1, -2, -3 }. Jul 5, 2024 · 9 easy and suitable uses of MOD function in Excel. Also, % operator in programming is explained with examples. Our free online calculators and conversion tools make math easy, providing fast, reliable results for finance, education, health, cooking, and more on any device. Why don't we test it out with an example? Take −100 100 mod 8 = 4 8 = 4. Python supports a wide range of arithmetic operators that you can use when working with numbers in your code. I've looked at difference formulas, but I can't seem to make them work in my head or on paper. If we don't understand the mathematics behind the modulo of negative numbers then it will become a huge blunder. Oct 24, 2019 · Calculate Modulo Enter two numbers, with the first number a being the dividend while the second smaller number n is the divisor. This will be useful in cryptography. (And yes, it differs between languages, and even the CPU's built-in division instruction has its own definition. 5. And an illustration of this definition. Essentially, a modulo calculator finds the smallest non-negative integer 'r' to which any number 'a' is congruent modulo 'n' (a ≡ r (mod n)). Modulus Function A modulus function gives the magnitude of a number irrespective of its sign. 0 = -6. Easy, fast, and perfect for students learning modular arithmetic! The `mod` function ensures that the output remains non-negative. I'm not sure why this decision was made originally. Can the divisor be zero? 4. It mainly uses remainders to get the value after wrap around. Python’s modulo operator isn’t restricted to integers—it works with floats too. However, when dealing with negative numbers, the MOD function in Excel follows a specific convention. While it is true that you can (or should be able to) use the modulo/remainder operator on negative numbers, ultimately that's not what you're trying to do. Oct 11, 2023 · Modulo (Mod) Calculator - Your go-to tool for precise modulo operations on any number, big or small. Follow the simple steps below: 1. However, the negative numbers don't make sense. The remainder is 4 4. I spent more than an hour going through the answers to this question on Math. In arithmetic modulo c c, we seek to express any x x as qc + r q c + r, where r r must be a non-negative integer. The modulus of a complex number is also called the absolute value of the complex number. The general syntax of the MOD function is as follows: =MOD (number, divisor) The syntax of this formula includes two parameters namely number and divisor and these are The MATLAB `mod` function returns the remainder after division of one number by another, which is useful for various mathematical computations. Symbolab: equation search and math solver - solves algebra, trigonometry and calculus problems step by step Our free online calculators and conversion tools make math easy, providing fast, reliable results for finance, education, health, cooking, and more on any device. The modulo operation is supported for integers and floating point numbers. Find out more on what MOD is. Number. 2 You have to be careful about what the negative in the exponent means, namely $2^ {-1}$ is the element $a$ that satisfies $$ 2a\cong 1\mod 25 $$ With a little thought, this is seen to be $a=13$. The best method to calculate the modulus (the remainder) of a number using a normal scientific calculator Casio (557 or 991). May 11, 2024 · The Answer: How to Find Mod Value in a Scientific Calculator Finding the mod value, also known as the remainder, on a scientific calculator can be done effortlessly. Mathematics behind the negative modulo : Let's Consider an example, where we want to find the -5mod4 i. C) Mod Multiplication Since multiplication of positive numbers is repeated addition it can be reduced to the above mod addition. Use this inverse modulo calculator to calculate the modular inverse of an integer. Well, that’s easy. Calculators for math, finance, and more. In Expand/collapse global hierarchy Home Campus Bookshelves Mount Royal University Higher Arithmetic 3: Modular Arithmetic 3. Modulo and remainder operators differ with respect to negative values. This concept is a cornerstone of Number Theory, a key topic in the CBSE Class 11 and 12 syllabus. The sign of the remainder in the MOD function depends on both the sign of the dividend and the divisor as Jul 30, 2012 · The % operator in C is not the modulo operator but the remainder operator. Some solve problems, some satisfy curiosity and some simply for fun. Learn how to calculate the modulus of negative numbers in C programming with examples and explanations. Basic introduction of mad. Introduction The Modulo Operations with Negative Numbers calculator is an essential tool for anyone diving into the world of mathematics, programming, or even cryptography. If you want 3 or -3 as result, you need to do 8%5 or -8%5 respectively. The syntax of the MOD function is “MOD (dividend, divisor)”, where the dividend is the number being divided and the divisor is the number by which it is being divided Dec 17, 2010 · essentially a duplicate of How does java do modulus calculations with negative numbers? even though this is a javascript question. Multiply the divisor by the quotient. I am trying to make sense of this in laymen's terms. Experience swift and accurate results every time! Mar 12, 2025 · Learn how to use the modulo operator (%) in Python to solve real-world problems, from checking even/odd numbers to cryptography, or cyclic data structures. How can I find the mod value for a decimal number? 5. The result of MOD carries the same sign as the divisor. You can also find out how to find modulus manually. Usually, circular arrays are implemented using the % operator. For example, MOD(10,3) = 1. StackExchange, but nothing made sense to me. When working with positive numbers, the MOD function behaves as expected. I do not need help with the the program, but I do need help understanding how modulo works with negative numbers. Examples: In C, 3 % 2 returns 1. if the divisor is zero, it returns NULL. The Python modulo operator (% symbol) computes the remainder of a division operation. Modulus of Complex Number The modulus of a complex number is the distance of the complex number from the origin in the argand plane. Nov 1, 2021 · You'll need to complete a few actions and gain 15 reputation points before being able to upvote. Here's the documentation, this is what it says: divides one operand by another and returns the remainder as its result. Example: The division of two numbers is often expressed as a decimal number (quotient). prototype: The prototype constructor allows adding new properties and methods to JavaScript numbers such that all numbers get this property and can access the method by default. Jan 8, 2014 · Consider the number 2 (mod 7) => 2*4 = 1 (mod 7) so 4 is the multiplicative inverse of 2 (mod 7) meaning 4 = "1/2" (mod 7) if I abuse this notation. Some languages will return negative r r when a a is negative. But those numbers should not be positive integers only; they can be, in fact, negative decimals as well (technically, the calculator accepts valid doubles - double-precision 64-bit floating-point numbers). Jul 8, 2013 · "The Modulus is the remainder of the euclidean division": According to the Wikipedia article you've referenced, the modulus is the divisor in the modulo operation, not the remainder: "the modulo operation returns the remainder or signed remainder of a division, after one number is divided by another, the latter being called the modulus of the operation. Stay focused! What Is Inverse Modulo? In the light of applied mathematics: “A particular integer number x is said to be ad the inverse modulo of a random integer a if it Jul 11, 2017 · This question already has answers here: Mod of negative number is melting my brain (15 answers) #python #programmingThe modulo operation on negative numbers in Python Nov 7, 2015 · Most languages which inherit from C will return a negative result if the first operand of a modulo operation is negative and the second is positive. It's equal to −17 17 mod 5 Oct 16, 2019 · Mod of negative number, how to find mod of negative number simple method in hindi Helping Tutorials 30. Say we’re at A[3] and we want to circle back to A[0]. This guide breaks down essential techniques with clarity and flair. Link for easy method to find Jul 23, 2025 · In programming, the modulo operation gives the remainder or signed remainder of a division, after one integer is divided by another integer. Examples : Input: num = "12316767678678", a = 10 Output: num (mod a) ? 8 The idea is to process all digits one by one and use the property that xy (mod a) ? ( (x (mod a) * 10) + (y (mod a))) mod a where, x : left-most digit Use our free Modulo Calculator to find modulus and remainder with step-by-step solutions. Apr 22, 2014 · Does either ANSI C or ISO C specify what -5 % 10 should be?, Modulo operation with negative numbers, Why is the behavior of the modulo operator (%) different between C and Ruby for negative integers? Aug 28, 2022 · How to calculate the modulo – an example Start by choosing the initial number (before performing the modulo operation). floorMod () Modulo Arithmetic with Negative Numbers FAQs: 1. result = mod (10, -3); disp (result); % Expected output: -2 Sep 17, 2023 · The JavaScript % (modulo) operator is nothing but the remainder operator, that’s why it gives negative results on negative numbers. This method will consume less time and useful in your engineering examsOnly 3 steps requ calculate mod (using scientific calculator ). Choose the divisor. In Python, -3 % 2 is 1 and 3 % -2 is -1 Jul 1, 2023 · Conclusion: The MOD function in Excel is used to calculate the remainder when one number is divided by another. Also, you can calculate the modulo of negative numbers. C defines the % operation for a % b as: a == (a / b Jun 1, 2025 · Calculate the modulus (remainder) of division between two numbers. Hey, I've been coding for 20+ years and still don't know what % does when applied to negative numbers. Aug 1, 2025 · Modulo calculator finds a mod b, the remainder when a is divided by b. It gives the non-negative value of x. Discover the magic of c++ mod to effortlessly calculate remainders. 2. floorMod Jul 16, 2016 · Problem Statement Say we want to implement a circular array. Add 1 to our current index, 3, and modulo it with 4 and we’re back to A[0]. May 9, 2023 · When using the MOD function in Excel, it is important to consider the limitations and potential errors that can arise with large numbers. Oct 5, 2021 · The Excel MOD function returns the remainder of two numbers after division. What is Modulus of Negative number? Users can find the modulus of a negative number by leaving off the minus (-) sign. As I understand it, the modulus of a positive number x with a number n is - the remainder of x divided by n. Subtract this number from your initial number (dividend). Perfect for students, professionals, and anyone in need of reliable calculation tools. This tool will then conduct a modulo operation to tell you how many times the second number is divisible into the first number & find the remainder after division is complete. What does MOD 17 mean? Put simply, modulo is the math operation of finding the remainder when The modulo calculator finds the remainder of the division of two rational/irrational positive/negative numbers. Oct 4, 2020 · In computing, the modulo operation returns the remainder or signed remainder of a division, after one number is divided… In this session we will understand how to compute the modulus of a negative number. I've almost been programmed my whole life with division and remainders. Jul 23, 2025 · The MOD () function in MySQL is used to find the remainder of one number divided by another. " Jun 9, 2025 · Learn how to use Excel's MOD function to calculate remainders, create alternating patterns, and solve complex mathematical problems with step-by-step examples and practical applications. Perfect for time, scheduling, and programming tasks. Mod for negative number Casio fxBy adding 26 to our negative number …. (Using the Window calculator for results) -4 mod 3 = 2 but 4 mod 3 = 1 -5 mod 3 = 1 but 5 mod 3 = 2 Jan 7, 2025 · Modulo of Negative Numbers in C 7 Jan 2025 | 3 min read In this tutorial, we will look at a few examples of modulus on negative numbers in C. The modulo calculator finds the solution of an expression x mod y = r. 5%8 would return 5 because that's how mod operator works. #AbhishekDit #abhics789Hello friends! Welcome to my channel. A useful shortcut: A mod expert would find the answer to 123 * 62 mod 12 immediately. Online calculator for quick calculations, along with a large collection of calculators on math, finance, fitness, and more, each with in-depth information. Furthermore, if the number being divided is a negative integer, Excel may return unexpected results due to the way that it handles negative May 25, 2016 · Mod for negative number Casio fxBy adding 26 to our negative number …. So now let's take (37 − 54) (37 54) mod 5 5. Can I use the modulus Jul 12, 2025 · In C or C++, the modulo operator (also known as the modulus operator), denoted by %, is an arithmetic operator. The MOD () function returns the remainder of dividend divided by divisor. In code, 4 % 4 = 0 is always true. The modulus operation finds the remainder after dividing one number by another. Sep 4, 2019 · Python modulo operator (%) is used to get the remainder of a division. fmod(-10,11) (-10, 11) Though the correct answer is 1. Jul 12, 2025 · The JavaScript % (modulo) operator is nothing but the remainder operator, that's why it gives negative results on negative numbers. For instance, if the divisor or dividend contains more than 15 digits, the calculation may return inaccurate results. It is 6. It is usually symbolized by the Mar 1, 2019 · According to Modulo of a negative number "In arithmetic modulo 푐, we seek to express any $푥$ as $푞푐+푟$, where $푟$ must be a non-negative integer. Modulo in Python handles negative numbers uniquely; it ensures the result has the same sign as the divisor. Nov 15, 2023 · After extensively reading numerous articles on utilizing the modulo operator with negative numbers and grappling with uncertainty about its proper usage in python programming language, my diligent C) Mod Multiplication Since multiplication of positive numbers is repeated addition it can be reduced to the above mod addition. For example, 10 % 2 will be pronounced as " Ten mod Oct 3, 2019 · Mod of a Number - How to find using calculator? Learn MOD 154 subscribers Subscribed Find the remainder after division for a set of integers including both positive and negative values. May 14, 2025 · Matrix Calculator – matrix operations often involve mod functions in encryption and hashing algorithms. How does she know? Without being a Gauss genius, she computes This calculator will calculate the modulus and argument of a complex number. 2 Simple Method. Oct 9, 2013 · It's calculated exactly like the mod of a positive number. Symbolab: equation search and math solver - solves algebra, trigonometry and calculus problems step by step Jul 23, 2025 · Given two integers A and M, find the modular multiplicative inverse of A under modulo M. Can the modulus operator be used with floating-point numbers? 2. Easily perform addition, subtraction, multiplication, division, trigonometry, logarithms, and more with our user-friendly interface. The symbol of the modulus operator in Bash is “%”. This is because 8 ⋅ −13 = −104 8 13 = 104. In mathematics, the modulus of a real number x is given by the modulus function, denoted by |x|. A beautiful, free online scientific calculator with advanced features for evaluating percentages, fractions, exponential functions, logarithms, trigonometry, statistics, and more. The modulo operation returns the remainder in division of 2 positive or negative numbers or decimals. In May 4, 2024 · The mod or modulo operator is a binary operator that finds the remainder when a number is divided by another. What Exactly is Modulo? Modulo, modular or simply, mod, is a mathematical operation Oct 17, 2024 · The MOD function in Excel is a helpful tool for finding the remainder of a division between two numbers. " This makes sense to me as we are trying to Oct 12, 2023 · A detailed explanation of the differences between remainder and modulus with instructions on creating modulus functionality for negative values in C++. More generally, the idea is that two numbers are congruent if they are the same modulo a given number (or modulus) For example, as above, $7 \equiv 2 \mod 5$ where $5$ is our modulus. a number or a numeric expression that Oct 7, 2010 · Exactly how does the % operator work in Python, particularly when negative numbers are involved? For example, why does -5 % 4 evaluate to 3, rather than, say, -1? May 13, 2017 · It's not about the number is being negative or positive. till we get first positive number which is the answer Modular Arithmetic Calculation Using Calculator. ,Therefore, it is clear that why JavaScript % (modulo) gives negative result. I understand how modular arithmetic using a clock with whole numbers. But I get rea Feb 24, 2014 · The mod of negative numbers in C [duplicate] Asked 11 years, 2 months ago Modified 11 years, 2 months ago Viewed 4k times Apr 28, 2025 · Python’s modulo operator (% symbol) computes remainders and enables cyclic operations in programming. But things get a little more tricky when you throw negative numbers into the mix. In this video, i have explained how to find the modulus of a negative Dec 9, 2010 · Google calculator in browser On Google, -10 % 180, or -10 mod 180 (same thing on Google) are both 170 as well: References My own experimentation, learning, and self-study via my code linked-to above. If z = x + iy is a complex number where x and y are real and i = √-1, then the non-negative value √ (x 2 + y 2) is called the modulus of complex number (z = x + iy). The calculator returns the remainder of the division, called the modulus, according to an Modulus With Negative Numbers in C & C++ What it is correct answer when calculating the modulus of two numbers when one of the numbers is negative? When it comes to computers, the answer is: it depends. The reason it works is that "x%m" is always in the range [-m+1, m-1]. But the result of the division of say, 1/3, can also be expressed in whole numbers as "0 with a remainder of 1". Press the “mod” button on your calculator. Dec 11, 2012 · Add a multiple of k to your negative number till it gets positive while youre looking for its k odulo value. Use the best online calculator for any math calculations on PC and smartphones. It is one of the most used operators in programming. It always displays the answer -10 in Khan Academy Khan Academy Jul 12, 2025 · Modular arithmetic is a system of arithmetic for numbers where numbers "wrap around" after reaching a certain value, called the modulus. Aug 21, 2024 · Taking the modulo of a negative number is a bit more complex mathematics which is done behind the program of Python. You can do that by taking the absolute of the negative number, adding whatever is needed to round it up to the next multiple of 5, and then add it to your negative number, and that should already be a number between 0 and 4. In this tutorial, you will learn how to use the SQL MOD function that returns the remainder of one number divided by another. calculate mod with only one step! find the remainder with only one step! This online calculator performs modulo operations on two given numbers, dividend and divisor. In this video i have tech u how to calculate MOD of power function. It’s written as: a m o d n a mod n. 0 Example using the Modulo Operator Suppose, we want to calculate the remainder of every number from 1 to n when divided by a fixed number k. 0 mod -7. -5%4. floorMod Get the Mod of Negative Numbers by Using Custom Modulus Calculation Get the Mod of Negative Numbers by Using Ternary Operator Conclusion In Java programming, obtaining the modulus of negative numbers poses unique challenges, often requiring careful consideration to ensure accuracy and predictability. Given 321, your modulo/division returns { 1, 2, 3 }. 3K subscribers Subscribed Our modulo calculator give you value of a MOD b, and works with negative numbers too which some mod calculators do not. One of these operators is the modulo operator (%), which returns the remainder of dividing two numbers. Three distinct methods— Math. Remainder is 1/2 which is 4/8 so mod is 4. Syntax ACOSH (Number) This function returns the inverse hyperbolic cosine of Number, that is the number whose hyperbolic cosine is Number. Free tools for students, professionals, and everyday calculations. How do we compute 5 * 8 MOD 12? First we multiply: 5 * 8 = 40 secondly we find the remainder: 40 MOD 12 = 4. EDIT: As @lawal correctly pointed out, this method is a little bit tricky for negative numbers because the sign of the result would be negative. Just what is the modulo of a negative number? I read somewhere that you can calculate the proper modulo of negative numbers by hand some laymen's method of just adding numbers together. It is also called the absolute value function. To get the modulus of a number, add vertical lines all around it. 1: Modulo Operation Expand/collapse global location In the context of cryptography, I need to find the private key of a message and I need to use modular arithmetic. My name is Abhishek Sharma. Sep 27, 2017 · If by mod you mean modulus then modulus of negative number is always positive. In the below examples, the modulus with the positive integers makes sense. Our free online calculators and conversion tools make math easy, providing fast, reliable results for finance, education, health, cooking, and more on any device. This article discusses when and why the modulo operation yields a negative result. As a result, it's fairly easy to turn { 1, 2, 3 } into 123 but you have to go through a lot of hoops to Feb 15, 2024 · Get the Mod of Negative Numbers by Using Math. Number must be greater than or equal to 1. Which method is better to use, modulus operator, or `Math. When dealing with modular arithmetic, numbers can only be represented as integers ranging from 0 to ( the Aug 2, 2025 · The MOD function in Excel calculates the remainder of a division operation, and it can be used for a variety of purposes, from finding the last digit of a number to determining how many times a number is divisible by another. Dec 7, 2011 · The remainder fraction is shown in reduced form, so 60 / 8 will result in 7 1/2. Mar 11, 2018 · Finally, note that mod as an operator exists in many computer programming languages but in those languages it does not always follow your definition exactly. Divide one number by the other, rounding down: 250 / 24 = 10 . The modulus or absolute value of a number is also considered as the distance of the number from the origin or zero. In this tutorial, you’ll learn: How modulo works in mathematics How to use the Python modulo operator with different numeric types How Python calculates the results of a modulo Feb 1, 2021 · But since this remainder is negative, we have to increase our quotient by 1 to say -97 divided by 11 equals -9 remainder 2, as 11 (-9) + 2 = -97! Therefore, -97 mod 11 equals 2! Modular Congruence Now, in number theory, we often want to focus on whether two integers say a and b, have the same remainder when divided by m. Jun 24, 2012 · 2 (This is Jyrki's answer with all of the examples removed, because it apparently confuses the OP when numbers are "pulled out of a hat":) As others have pointed out, when dealing with congruences the concept of a negative number is meaningless (as is the concept of a positive number). Free online calculators for finance, health, math, calendar, geometry, and more. All you have got to do is enter the initial number x and integer y in our calculator to determine the modulo number r. However, -3 % 2 is -1 and 3 % -2 gives 1. ejhzbv adiw wtac bryn ypihqcyd exq chlk uld scv wfvzuqq