Modulo Operation

Here a is divided by b and the remainder of that division is returned. And so, a quick post to demonstrate creating repeated sequences with the modulus operator (MOD or %). If you have ever made change (as cashiers do all the time), you are using the modulus operator. And on a personal note, you might consider to read (and follow!) this: How to ask questions the smart way If you already "know" that you want to print variables using "echo", why do you have to ask us?. MOD(number, divisor) The MOD function syntax has the following arguments: Number Required. How to use the % Modulo operator to select points for labeling? I have tried about 1000 different combinations using the Modulo operator, but I continue to get an. The relevant standards define the result in many corner cases. The Coding Train 22,222 views. b = 0000 1101-----a&b = 0000 1100. , in the range of integer modulo m. The modulus operator (%) is a useful operator in Java, it returns the remainder of a division operation. Although unary negation (-) also can convert non-numbers, unary plus is the fastest and preferred way of converting something into a number, because it does not perform any other operations on the number. In mathematics, the result of the modulo operation is the remainder of the Euclidean division. What is modulo operation: The remainder obtained after the. "result same" means the result is the same as the right operand. Modulus Operator % It is used to find remainder, check whether a number is even or odd etc. Instead of returning the result of the division, the modulo operation returns the whole number remainder. It's useful to do simple things like figuring out if a given number is even or odd, as well as more complex tasks like tracking the next writing position in a circular array. For example: + is an operator to perform addition. The modulus operator, % returns the remainder of a division operation. In the case of our 12-hour clock, the modulus is 12. Victor tiene 5 empleos en su perfil. Instead of hitting you in the face with formulas. Each number must have an integral value. According to the spec , the following should always hold: (a / b) * b + (a % b) == a That is, a % b should always represent the remainder of an integer division, and the remainder always has the same sign as the dividend. Innovative human-resource solutions from teamFORCE in the areas of Executive Search / Headhunting / Direct Approach, Personnel Consulting and Temporary Assignments (Interim Management, TONOR Microphone Isolation Shield, Studio Mic Sound Absorbing Foam Reflector forPersonnel Leasing) of specialists and. It was introduced into mathematics in the book Disquisitiones Arithmeticae by Carl Friedrich Gauss in 1801. A tutorial on taking the modulus without dividing. mod (x1, x2, It is equivalent to the Python modulus operator``x1 % x2`` and has the same sign as the divisor x2. Description. The ciphertext alphabet c is equal to the plaintext alphabet (p + x), and then taking the sum mod 26. The function MOD is the most convenient way to find if a number is odd or even. Hence i modulo j or i mod j is the remainder of the division of integer i by integer j. Anti-pattern. Modular arithmetic is like regular arithmetic, except that the numbers “wrap around” or restart when they reach a certain value, called the modulus. View Abbas Khorsand’s full profile. All you have to do is input the initial number x and integer y to find the modulo number r, according to x mod y = r. (Invalid operands to binary %). It is denoted by % (percentage) sign. As a result it's hardly surprising that code that uses the modulus operator can take a long time to execute. Understanding the modulo operator. Create an Operator_Modulo function in a class to specify the functionality of the Mod operator for that class. The safe way to find whether an integer is odd or even using the modulo operator in C is to do the below. The only requirements are that your method is public, has the correct name, and has the correct number of arguments. Constant Modulus Algorithm and the Gradient Operation. The % operator returns the remainder of two numbers. For example, in the following expression, A (which is result ) equals 5. 3*abs(atan2(ve,vn)). Description¶. 10 % 5 == 0 11 % 5 == 1 14 % 5 == 4 There are plenty of uses for it, such as implementing a Caesar cipher or a clock. This my be why the 3 is returned. For the modulus operator, the result takes the sign of the first operand. n (the divisor), a modulo. The test to write is very simple. On most common systems, modulus performs a division, which is a very slow operation. Python's built-in "re" module provides excellent support for regular expressions, with a modern and complete regex flavor. it seems to work on most cases. The built-in unary plus operator returns the value of its operand. Modulus Operator % It is used to find remainder, check whether a number is even or odd etc. (dot) then it's divisible, else indivisible. Create an Operator_Modulo function in a class to specify the functionality of the Mod operator for that class. A short digression on modulo arithmetic. You can either reduce using the modulo reduction or using this trick. (Invalid operands to binary %). Given two positive numbers, a and n, a modulo n (abbreviated as a mod n) is the remainder of the Euclidean division of a by n, where a is the dividend and n is the divisor. The modulus operator is useful in a variety of circumstances. Similarly, multiplication modulo n is defined by taking ab (mod n) to be equal to s, where s is the element of S to which the usual product of a and b is congruent (modulo n). mod ¶ numpy. Please research this more beacause trust me. The result of the modulo operator is zero if the first number is perfectly divisible by the second number. The Modulo Calculator is used to perform the modulo operation on numbers. Modulo definition is - with respect to a modulus of. I like to emphasize that programming is not so similar to maths as some people say. En mathématiques et en programmation informatique, on désigne par modulo l’opération de calcul du reste de la division euclidienne [1]. ) An additional arithmetic operation you might be wondering about is exponentiation. Well organized and easy to understand Web building tutorials with lots of examples of how to use HTML, CSS, JavaScript, SQL, PHP, Python, Bootstrap, Java and XML. The Modulus is the remainder of the euclidean division of one number by another. " In modular arithmetic, numbers "wrap around" upon reaching a given fixed quantity, which is known as the modulus (which would be 12 in the case of hours on a clock, or 60 in the case of minutes or seconds on a clock). Modulo isn’t a major performance hog; Avoid Double modulo operations if possible (can you use int’s?) The reference Java modulo implementation is fast; For mod(a,2^n) operations, modPow2 is ~23% faster than stock moduolo; If modulo is a critical path in your code, and your divisor is a power of 2 (with Natural dividends), use this trick. Given two positive numbers, a and n, a modulo n (abbreviated as a mod n) is the remainder of the Euclidean division of a by n, where a is the dividend and n is the divisor. Welcome to LinuxQuestions. Description: The Mod keyword gives the remainder from dividing the Dividend by the Divisor. All these Arithmetic operators in C are binary operators which means they operate on two operands. Modulo 2 addition is performed using an exclusive OR (xor) operation on the corresponding binary digits of each operand. Binary x is the repetition operator. By measuring the modulus value, the Light Weight Deflectometer (LWD) provides the direct link between the design specification (modulus value) and the actual site condition (modulus value). The result sign doesn’t depend on denominator sign. View PUMAS Example Modulus in Real Life. "What is a modulo?" you may ask - well, if you take two numbers and then divide the first number by the second number then the remainder is called the modulo. For the modulus operator, the result takes the sign of the first operand. n (the divisor), a modulo. Often abbreviated to m. Modulo division evaluates remainder after performing division of two numbers. Summary Add a modulo operator %% for integer and floating point types that is defined as the remainder after floor division. You could also just always add the maximum value after doing a modulo operation and then do one more modulo operation - then you'd skip the conditional. First of all, as in ordinary arithmetic, division by zero is not defined so 0 cannot be the divisor. Any multiple of two leaves a remainder of zero when divided by 2. mod (x1, x2, It is equivalent to the Python modulus operator``x1 % x2`` and has the same sign as the divisor x2. Edit: NB: = in this case is meant to be a congruence relation; so 8 = 1 (mod 7) should be read as 8 is congruent to 1 in modulo 7. The arithmetic operations are shown in boldface. Some examples may help illustrate this, as it's not necessarily intuitive the first time you encounter it:. it seems to work on most cases. The Nerf Modulus Regulator blaster comes with two 12-dart clips and 24 Elite darts. Each number must have an integral value. Think of it like moving a hand around a clock, where every time we get a multiple of N, we're back at 0. Similarly, multiplication modulo n is defined by taking ab (mod n) to be equal to s, where s is the element of S to which the usual product of a and b is congruent (modulo n). Instead of returning the result of the division, the modulo operation returns the whole number remainder. y=3x 2 +6x-2 has graph. For the opposite conventions see the rem function. For instance, 5 % 3 = 2, and 7 % 3 = 1. Modulo Operator as Used in our Calculator. By using floating indexes for the whole combined string, you can simplify by only checking for each divisor and returning however much of the string is needed. Is this possible? There are a number of templates i will need to create with different number of 'days prior'. The best way to introduce modular arithmetic is to think of the face of a clock. The modulo operator divides the value of operand1 by the value of operand2 and returns the remainder after the division. Syntax @Modulo(number1; number2) Parameters. Anyway, now, it's your turn to show off how good are you with different operators in Java and how quickly you can think of alternative solutions. i am using xilinix ise 14. Because all integers can be expressed as , , , , or in modulo 5, we give these integers their own name: the residue classes modulo 5. The % character is the modulus operator in Java. The result has the same sign as divisor. cycles++; Hello, I'm wondering what I'm doing wrong in the statement, if I remove the "&& cycles % 10 == 0" then after 20 cycles the EEprom is read and I can see it with the debug pin and the fact it changes the period of the loop which is FR. See Section 12. Use the modulo operator (%), instead. The mod function follows the convention that mod(a,0) returns a. Processing is a flexible software sketchbook and a language for learning how to code within the context of the visual arts. In the function, the Self instance the left operand and the other operand is passed as a parameter. The Modulus Operator. Load both clips, then insert 1 into the blaster and store the other 1 in the storage stock. Ve el perfil de Victor González en LinkedIn, la mayor red profesional del mundo. The operation that reverses the effect of another operation. Numbers are not carried or borrowed. The modulus operator (%) is a useful operator in Java, it returns the remainder of a division operation. If either operand is a scalar, the MOD function performs the operation for each element of the matrix with the scalar value. The bitwise shift operators take two operands: the first is a quantity to be shifted, and the second specifies the number of bit positions by which the first operand is to be shifted. The modulo operator is often useful. The modulus operator is denoted in c by symbol %. The MODULO function, like the SQL MOD function, returns the remainder after a number is divided by another ; or the number if the divisor is 0 (zero). Python isn't doing it wrong, it's just trying to produce the most useful answer. Do I have to implement this basic mathematical function myself and if so what is the best way to write it (it will be heavily used so I want it to be as fast as possible)? /Jens. The modulo operation can be calculated using this equation:. Binary operators take an operand on the left and right. 301 Moved Permanently. For the opposite conventions see the rem function. Der Modulo-Operator hat grundsätzlich die semantische Bedeutung einer Modulo-Operation im mathematischem Sinne. Learn more. Find more on Examples of % ( Modulo ) Operator Or get search suggestion and latest updates. For instance 10 % 3 is 1 because 10 divided by 3 leaves a remainder of 1. Description. Learn more. There are some - admittedly rare - cases, when the division and modulo operations are responsible for a great percent of the total runtime. Only users with topic management privileges can see it. In a division operation, the remainder is returned by using modulo operator. But Python Modulo is flexible in this case. Some languages such as C# allow for the use of floating point calculations, however, assuming that MQL is built upon a Unix C foundation, it is most probably only valid for integers. It is denoted by % (percentage) sign. Example: 100 mod 9 equals 1 Because 100/9 = 11 with a remainder of 1 Another example: 14 mod 12 equals 2 Because 14/12 = 1 with a remainder of 2 12-hour time uses modulo 12 (14 o'clock becomes 2 o'clock). Read and learn for free about the following article: What is modular arithmetic?. That last example illustrates one use, detecting exact multiples of any integer. Modulo operation explained. Workaround: Divide the Counter by a number and store the value into result variable. For example, 6, -6, 12, -12, are all congruent to 0 when the modulus is 6. The modulus operator turns out to be surprisingly useful. Either way it shouldn't kill performance too bad. It is useful for keeping a variable within a particular range (e. The modulo operator - the percentage symbol % - will work out the remainder left over when one value is divided by another. See the Arithmetic help > page in the base package. That lead me to wonder how one would deal with more complex problems involving modulo arithmetic. View PUMAS Example Modulus in Real Life. Imagine trying to perform modulo 3 on the number 1,000,000,000. Modulo Operator in Structured Text If you are reading this post, I am sure that you have other programming language background and have to fire the % operator in your IF ELSE condition. Guest Tutorial #6: The Modulo Operator with Golan Levin - Duration: 17:28. Operator Precedence in the Java™ Programming Language handout for CS 302 by Will Benton ([email protected]) Operator precedence defines the order in which various operators are evaluated. In the first example above 30 ÷ 6 = 5 which is a whole number so there is no remainder. This means that the result of floor division has a direct impact on the result of a modulo operation. However, let's assume for a moment that % would denote a waste-time-operator with complexity O(log(n)²). Hence, in function is_odd, a % 2, for a = -1 returns a remainder of -1 and the subsequent comparison with 1 returns false. Modulo Operation (mod) Al gorithm and Examples. I will show you an easy way to do modulo base 2 numbers with bitwise masking. This modulo calculator is a handy tool if you need to find the result of modulo operations. The ciphertext alphabet c is equal to the plaintext alphabet (p + x), and then taking the sum mod 26. The mod function follows the convention that mod(a,0) returns a. A tutorial on taking the modulus without dividing. A Banqueting Manager is responsible for managing all operations in banquets and events in the hotel to deliver an excellent Guest and Member experience while optimising sales, evaluating performance, and ensuring staffing levels meet demand. As a computer programmer I use it frequently for a variety of purposes including time and patterns. To be fair, the modulus operator already creates. Return Values. Net: use the Modulus Operator or alternative. Guest Tutorial #6: The Modulo Operator with Golan Levin - Duration: 17:28. You'll see how calculations can be performed on objects in Python. Think of the C-major scale. Example: 7 % 5 = 2 Dividing 7 by 5 we get remainder 2. NWT Coach F28997 Lexy Pebble Leather Shoulder Bag Handbag In Black 191202715233 Wedding Dress, Ivory Colour, M size. In people terms, it means "what is left over when you try to divide X (dividend) by Y (divisor)". There are multiple uses of modulus operator such as telling if a number is a factor of another number or not. Assume if a = 60; and b = 13; Now in binary format they will be as follows − a = 0011 1100. If the division is done correctly, then the divisor was fitted into the dividend as many times as possible. C program to use Arrow keys. It was introduced into mathematics in the book Disquisitiones Arithmeticae by Carl Friedrich Gauss in 1801. But if I apply the rule I mentioned earlier, 3 should actually appear from both methods. Checking If a Number Is a Multiple of Some Other Number. Operator Precedence in the Java™ Programming Language handout for CS 302 by Will Benton ([email protected]) Operator precedence defines the order in which various operators are evaluated. Here a is divided by b and the remainder of that division is returned. MOD(10,4) MOD(A2,B2) Syntax. Any time we subtract 1 from 0, we get 4. Description of the illustration mod. Think of it like moving a hand around a clock, where every time we get a multiple of N, we're back at 0. When I was looking this integer division operator up in the documentation, I was happy to be reminded that as of ColdFusion 8, the modulus operator can be either MOD or the more programmer-friendly % sign. Examples of using these operators are shown in Example 1. For example, 6, -6, 12, -12, are all congruent to 0 when the modulus is 6. For these cases there is an operator called modulo operator (abbreviated as mod). For double inputs, R makes use of IEC 60559 arithmetic on all platforms, together with the C system function pow for the ^ operator. API docs for the int class from the dart:core library, is 64-bit two's complement integers with operations that wrap to that modulo operator. I hope this helps explain. It is extremely useful for keeping numbers within a boundary such as keeping a shape on the screen. Usually the modulus is compared with another modulus, so in that case it doesn't matter if they are both squared or not. For example: + is an operator to perform addition. Modulo is very helpful in a lot of asignments. Related commands. The Remainder or Modulus Operator in Java. We could use modulo to get remainder after division is performed. The modulo operator is often useful. If all values in the operation are integers, the result will be an integer. The Mod operator in Excel VBA gives the remainder of a division. Modulo operation. It's a binary operator i. The Remainder output is the result of a modulo operation using truncated division. In many language, both operand of this modulo operator has to be integer. What you typically do is hash and then reduce. In mathematics the result of the modulo operation is the remainder of an arithmetic division. Integer division in Python uses the floor instead of rounding toward zero or truncating, so 10/4 = 2. Uses of the Modulo Operator. Any time we subtract 1 from 0, we get 4. The modulo operation, which is also often referred to as the mod or modulus operation, identifies the remainder after a given number is divided by another number. Numbers are not carried or borrowed. , in the range of integer modulo m. Read and learn for free about the following article: What is modular arithmetic?. For example, if we divide 42 and 24 by 9: 42 = 9 4 + 6; 24 = 9 2 + 6: (2) Observe that the remainder is the same (r = 6). This operator yields a value equal to the remainder of an integer division. This week, a new question about “string pattern formatting”, came up on the forum. , if gcd(a, m) = 1). Note here that all the answers are in integers as we have defined the variables to be of type int. Java modulo negative ints. Here a is divided by b and the remainder of that division is returned. Schmuckkasten weiß Schmuckkästchen Schmuckschatulle Schmuckkoffer 3 Schubladen,NERF N-Strike Modulus ECS-10, HALBAUTOMATISCH, SO GUT WIE NEU,Nr 208: Lebensbaum 925 Silber Anhänger Band Yggdrasil Weltenbaum Baum des Lebens. See Example 2. Any multiple of two leaves a remainder of zero when divided by 2. I have also been a professional programmer for 6-7 years and an amateur for 20 years, and I am also not aware of a single instance of wanting the "remainder" operation involving negative numbers, but I can think of several instances of wanting the modulus operator (i. Python's built-in "re" module provides excellent support for regular expressions, with a modern and complete regex flavor. There are following Bitwise operators supported by Python language [ Show. A Banqueting Manager is responsible for managing all operations in banquets and events in the hotel to deliver an excellent Guest and Member experience while optimising sales, evaluating performance, and ensuring staffing levels meet demand. For the modulus operator, the result takes the sign of the first operand. Remainder operation calculates the remainder when one integer is divided by another. The numbers go from $1$ to $12$, but when you get to "$13$ o'clock", it actually becomes $1$ o'clock again (think of how the $24$ hour clock numbering works). As such, Remainder has the same sign as the dividend and negative numbers are treated differently than in a traditional modulo operation. In people terms, it means "what is left over when you try to divide X (dividend) by Y (divisor)". I try my best to grasp it by SRM and URM. Also, the sign of the result will be the same as the sign of the second number, which must not be zero. It is denoted by % (percentage) sign. Modulo Operator to Get Remainder In Python. In modulo , we count. Your divisor is rounded before the MOD operation. Modulo isn’t a major performance hog; Avoid Double modulo operations if possible (can you use int’s?) The reference Java modulo implementation is fast; For mod(a,2^n) operations, modPow2 is ~23% faster than stock moduolo; If modulo is a critical path in your code, and your divisor is a power of 2 (with Natural dividends), use this trick. 7 % 3 should return 1, since 7/3 = 2, with a remainder of 1, making 1 the modulo. Modulo and floor division are connected by the following identity: x = (x // y) * y + (x % y). round (fPart (/)*,0) where is the number to take the modulo of and the is of course the number you are taking the modulo to. It is commonly used to take a randomly generated number and reduce that number to a random number on a smaller range, and it can also quickly tell you if one number is a factor of another. Modulo operation. (In fact, you may remember "order of operations" from secondary school algebra. This is no coincidence. That lead me to wonder how one would deal with more complex problems involving modulo arithmetic. In your example of 19 MOD 6. For example, after the assignment _mod:=mods, both the operator mod and the equivalent function _mod return remainders of least absolute value. So, take mod 3 (in C and Python, it’s n % 3)… Starting at N=0 and going forward, it’s 0,1,2,0,1,2,0,1,2… forever. Place a command button on your worksheet and add the following code line: MsgBox 7 Mod 2. Related commands. The reason behind this is to have problems for large integers so that only efficient algorithms can solve them in allowed limited time. _mod(x, m) is the functional equivalent of the operator notation x mod m. It is denoted by % (percentage) sign. By continuing to browse this site, you agree to this use. For instance, the expression "7 mod 5" would evaluate to 2 because 7 divided by 5 leaves a. When we get this question in interview "write a program to check given number is even or odd" always continues with "without using modulus and division operators". There is a nice property of modulo arithmetic, however, that makes this determination a little easier, namely: (a mod x)(b mod x) = (ab mod x). Copy and paste the following SQL to your SQLyog free Community Edition query window. Flowgorithm expressions allow the operators used in two major families of programming languages. In modulo , we count. The modulo (or "modulus" or "mod") is the remainder after dividing one number by another. Although unary negation (-) also can convert non-numbers, unary plus is the fastest and preferred way of converting something into a number, because it does not perform any other operations on the number. " In modular arithmetic, numbers "wrap around" upon reaching a given fixed quantity, which is known as the modulus (which would be 12 in the case of hours on a clock, or 60 in the case of minutes or seconds on a clock). a^b = 0011 0001 ~a = 1100 0011. In mathematics the result of the modulo operation is the remainder of an arithmetic division. This function takes as arguments any numeric datatype or any nonnumeric datatype that can be implicitly converted to a numeric datatype. In the example, the Range is set to 1 to 6 by using the modulo %6 while adding 1 to the whole thing. Best practice. The syntax is exactly the same as for other operators: int quotient = 7 / 3; int remainder = 7 % 3; The first operator, integer division, yields 2. 5 becomes -3. See also: rem. Description. In this case the modulo operation is essential, as without it cᵢ = 31, and we only determined letter values for 0-25. If a number mod 9 = 0, then the number is a multiple of 9. To achieve the performance better than that of ZF criterion, THP is implemented with aid of LR at the BS, while the RS just needs a simple modulo operation. Modulus Assign Operator. For instance, the expression "7 mod 5" would evaluate to 2 because 7 divided by 5 leaves a. The C# compiler does. Returns the result of the modulo operator, the remainder after a division operation. In mathematics, the result of the modulo operation is the remainder of the Euclidean division. In computing, the modulo operation finds the remainder after division of one number by another (called the modulus of the operation). Uses of the Modulo Operator. Exponentiation is just the third operation in the sequence addition, multiplication, exponentiation, tetration (and that's an infinite sequence). Fast Modulus Operation and Using Unsigned Ints as an Optimization This is another pretty well-known trick; but there is often a few misconceptions with it. For faster navigation, this Iframe is preloading the Wikiwand page for Modulo operation. The modulo operator calculates the remainder from division by an integer. Something like this:. When we write i++ we're using shorthand for i = i + 1. The remainder operator (%) is also known as a modulo operator in other languages. Basically, the modulus is the remainder of the dividend divided by the divisor. The modulo operation returns the remainder after the division of the first argument by the second one. The modulus operator, % returns the remainder of a division operation. How to avoid division and modulo? Modulo can be easily translated into a bitwise AND if the divisor is a power of two. Instructions. In many language, both operand of this modulo operator has to be integer. Storing New Line character ( ) as a user input data. The modulo operator is not mathematically correct, since it turns negative numbers into negative numbers. Relational operators. An integer expression. This site uses cookies for analytics, personalized content and ads. If it helps you can use the ABS function to return the absolute value and remove the sign: 57. There is a nice property of modulo arithmetic, however, that makes this determination a little easier, namely: (a mod x)(b mod x) = (ab mod x). Description. The sign of result is the same as the sign of number1. Given two numbers, a (the dividend) and n (the divisor), a modulo n (abbreviated as a mod n) is the remainder from the division of a by n. Checking If a Number Is a Multiple of Some Other Number. MOD uses integer math. All these Arithmetic operators in C are binary operators which means they operate on two operands. The modulo operator calculates the remainder from division by an integer. The percent sign in PowerShell is known as the modulus operator. As nouns the difference between modulus and modulo is that modulus is (mathematics) the base with respect to which a congruence is computed while modulo is (computing) the operation or function that returns the remainder of one number divided by another. Printing Box using ASCII values. That is, if numerator is positive, then the result is positive. The relational operators are used to compare expressions. You need to hash your objects in all cases. n (abbreviated as a mod. VBScript has a full range of operators, including arithmetic operators, comparison operators, concatenation operators, and logical operators. Say for instance we have two integer values x and y and then the operation x % y called as x modulus y gives the result as (x- (x / y) * y). The route is on a public footpath and the shooting is usually from the woods nearby towards the direction of the path (ascertained. Performs a grouping operation on one or more parameters, performs sequential evaluation of expressions, or surrounds one or more parameters and passes them as arguments to a function that precedes the parentheses. This operator can be used only with integer data types. The Microsoft Excel MOD function returns the remainder after a number is divided by a divisor. If both operands are positive, modulus and remainder are equivalent. We could use modulo to get remainder after division is performed. Privilege The use of the term 'suitably privileged' in this document means either that the command is in a library (%) routine or the user is privileged. Generically, function objects are instances of a class with member function operator() defined. MOD uses integer math. The % character is the modulus operator in Java. The Modulo Calculator is used to perform the modulo operation on numbers. Computers and calculators have various ways of storing and representing numbers. bounded random linear operators from to ; define by , for all for any ; then it is easy to see that is an RN module over with base. For faster navigation, this Iframe is preloading the Wikiwand page for Modulo operation.