On most common systems, modulus performs a division, which is a very slow operation. GWT is the official open source project for GWT releases 2. Western European languages (French, German, Spanish, Italian, the Scandinavian languages, and so on). Once I have one or two working Java programs, I plan to run some parallel testing. Consider, for instance, the following C code: int remainder = value. I am also told to put 45 hours worked at \$10. The modulo of "a" divided by "b" is equal to the remainder after the division. But when n is a prime number, then modular arithmetic keeps many of the nice properties we are used to with whole numbers. JAVA OPERATORS are used to manipulate primitive data types. In the example given below I have done some mathematical processes such as to find hour divided the input seconds by 3600 and also find the remainder by using the mod operator then divided the founded remainder by 60 to find the minute and finally find a remainder of the remainder which has been found in early step by using mod operator. A much better way to find if a number is even or odd is to use the bitwise & operator. edu Co-PIs: Kevin Driscoll Brendan Hall Honeywell Laboratories The views and opinions expressed in this presentation are those of the author, and are not necessarily those of the Federal Aviation Administration,. Find modulus (remainder) x % n Example Let x = 27 and n = 5. Like & Subscribe! Video. Integer Division Of all the elemental operations, division is the most complicated and can consume the most resources (in either silicon, to implement the algorithm in hardware, or in time, to implement the algorithm in software). In this C program, we will learn how can we find the remainder of two integer numbers without using modulus (%) operator? Submitted by IncludeHelp, on April 26, 2018 Given two integer numbers and we have to find the remainder without using modulus operator (%) in C. JRJC - How To Use Modulo Modulo is nothing more than "remainder after division. Introduction. ) The Extended Euclidean Algorithm for finding the inverse of a number mod n. The modulus is measured by pulling a sample of the cured material in a tensile-testing machine while measuring the change in length by attaching an extensometer to the sample. Arithmetic operators perform addition, subtraction, multiplication, division, and modulo operations. They are signed integers in 2's complement representation, and can hold a zero, positive and negative integer value of the various ranges as shown in the table. docx - ICS 2201(a Define the following terms(i(ii(iii(iv(v[5 marks Program Polymorphism Inheritance Encapsulation Find reserved word(b Java being. I don't think I have *EVER* found the remainder operation useful, except as a means to calculate the modulus. edu Co-PIs: Kevin Driscoll Brendan Hall Honeywell Laboratories The views and opinions expressed in this presentation are those of the author, and are not necessarily those of the Federal Aviation Administration,. On this document we will be showing a java example on how to use the mod() method of BigInteger Class. This program will calculate Simple Interest, when principal, rate and time is given. Input and output in binary, decimal, hexadecimal or ASCII. cer) or RSA key (. Calculate Modulus in c programming. Enter the primary number (in binary; make sure it is valid) first then enter the secondary number (also in binary) for the calculation and click on Calculate. Java Program to Find sum of Digits. In modulo , we count. (Java) Get RSA Key Modulus from. Calculate Circle Area using Java Example. When you divide a number 'a' by 'b', it can be expressed as 'a mod b' which is the remainder. So in this program you have to first create a class name FindReverseNumber and within this class you will declare the main() method. All guys, how to quickly calculate modulus without using calculator, guys. 5 divides 8. Discuss, share and interact with user communities, both for learners and teachers. This quotient and remainder calculator helps you divide any number by an integer and calculate the result in the form of integers. 1) Using divide operator 2) Using iterative way to repeative addition of given dividend. powmod() function to perform modular exponentiation. Java codes (1) Blogroll. In its basic form, the Chinese remainder theorem will determine a number p p p that, when divided by some given divisors, leaves given remainders. Calculator in Java with Source Code, see the example of calculator in java, Swing Tutorial with example of JButton, JRadioButton, JTextField, JTextArea, JList, JColorChooser classes that are found in javax. Every other digit is doubled and the other digits are taken unchanged. Java programs written by Dario Alpern. 32 Replies ZipZapRap; Blizzard announces World of Warcraft. We have Java open sourse codes,C++ open sourse codes,Applications for w810i,k750i,high resolution images,wallpapers,songs,softwares and more just for free. If you are provided with two numbers, say, X and Y, X is the dividend and Y is the divisor, X mod Y is there a remainder of the division of X by Y. Find modulus (remainder) x % n Example Let x = 27 and n = 5. JavaScript helps lay the foundation for rounding off numbers with the following method: Math. Calculate modulo without modulo operator or divide operator - Python. This is a Java program which is used to find the reverse of a number. About the Moment of Inertia Calculator. If there is always a remainder then the number is prime. All you have to do is input the initial number x and the integer y to find the modulo number r according to the equivalence x mod y = r. Until this software came along, flowcharts were static diagrams that outlined the flow of execution of a computer program. Get the remainder for the binary digit. This is because the last remainder will be the first bit in the binary representation. Thus, 7 / 3 is 2 with a remainder of 1. Modulus 11 Self-Check Digits. The problem I am having is that if the sum of the product is in double digits, they must be treated as individual digits. JRJC - How To Use Modulo Modulo is nothing more than "remainder after division. The “T2” class defines one method, the “square”. The number by which we divide is called the divisor. The problem I am having is that if the sum of the product is in double digits, they must be treated as individual digits. The Weibull distribution is one of the most widely used lifetime distributions in reliability engineering. Java program to check if a number is Armstrong or not. Add the results and divide it by 11 and the remainder (Modolu 11) is the check digit. You might think so if you just calculate from left to right. Calculate Circle Area using Java Example. Java does integer division, which basically is the same as regular real division, but you throw away the remainder (or fraction). If the remainder is zero, the current value completely divides the number and is a factor of the number. In some cases, they employ the elastic modulus under the assumption that after a deforming force is removed, the beam returns to its original shape. Doing "modular arithmetic" with "modulus" 10 means doing addition, subtraction, and multiplication (including powers) where you only care about the remainder modulo 10. Due to their high frequency of execution and possibly longer latency, modulo and division should be avoided in favor of bitwise operations whenever possible. These Java operators are (for the most part) very commonly used in the Java programming language and I think you'll become very comfortable with them as you program with Java. The modulus is well within the range of 0 and 2 (divisor -1). This function is often called the modulo operation, which can be expressed as b = a - m. Therefore, it will return the change in the least amount of coins. 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. Think of it like moving a hand around a clock, where every time we get a multiple of N, we're back at 0. Since the modulus operator is so much more consistent, I assume that it compares the number on a bitwise level. Java programs written by Dario Alpern. How to calculate modulus in Java; How to make a grid in Java; How to make a snowflake using turtle classes in java; Categories. Java Script ASP. It also gives the next check digit to be appended at the end of source sequence to form valid number according Luhn algorithm. For example, 2 3 = 8, and we've already know (Z 8, +, *) is not a field. The number for which you want to find the. Train on kata in the dojo and reach your highest potential. 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. Input a positive integer n, and this calculator will display: • the sum of its divisors, σ(n), • the number of divisors, d(n), • the complete list of divisors of n. Click on Encrypt and n mod x i will appear in box labeled x%ni for each i where box ni: was not blank. Note that when the divisor is greater than the dividend, the remainder constitutes the value of the entire dividend. I have a modulus 10 routine in RPG that has been in production for a few years. ? Hi, I need to write a function that computes the modulus without using the % or / symbol. 5) for Java ints) otherwise, there is no inverse function of modulo function. What I build is just a simple calculator that will show beginners how much easy it is to develop applications using the. 14 / 10 = 1 with remainder of 4, so the modulus in this case would be 4. So, the integers from to , when written in modulo 5, are where is the same as in modulo 5. , a^b mod c, where a,b,c are integers) In the above, "integer" means an arbitrarily large integer. When you multiply the quotient by the divisor and add the remainder you get back to the dividend. 4 platform using JAVA SE Development Kit 6. GCD Calculator Instructions. All guys, how to quickly calculate modulus without using calculator, guys. To illustrate the abilities of this applet consider the following Figure which shows three sequences of 100,000 points each, using the same generator, for k=1 (red), k2 (green), and k=3. The remainder value is mathematically equal to f1 - f2 × n, where n is the mathematical integer closest to the exact mathematical value of the quotient f1/f2, and if two mathematical integers are equally close to f1/f2, then n is the integer that is even. Well, just like you would do long division by hand. Java program to calculate Simple Interest with Output and Explanation - Java programming Example. 33 % 5 is 3. Related Java Examples. Chinese Remainder Theorem tells us that there is a unique solution modulo m, where m = 11 ⋅ 16 ⋅ 21 ⋅ 25 = 92400. Java Program To Calculate Power Of Number - In this article, we will detail in on the several ways to calculate the power of a number in Java programming. Now I got Base64Encoded certificate, does anybody can explain how to modulus and exponent?I searched web site, there is no doc explain how to parse modulus and exponent from certificate byte array. 30 is the obtained score whose percentage you wish to calculate. MOD returns the remainder of n2 divided by n1. Email: [email protected] And so, a quick post to demonstrate creating repeated sequences with the modulus operator (MOD or %). And divide it by the second number: 5. On this document we will be showing a java example on how to use the mod() method of BigInteger Class. 16/5= 3 Remainder 1 i. 4 % 2 = 0 4 is even as remainder is 0. The entire number is multiplied by the same weights that were used to calculate and the check digit itself is multiplied by 1. Java-Examples. where the division is typically "integer division" meaning the part divided out is the even whole number, no fractional result. BigDecimal arithmetic has different rules. We apply the technique of the Chinese Remainder Theorem with k = 4, m 1 = 11, m 2 = 16, m 3 = 21, m 4 = 25, a 1 = 6, a 2 = 13, a 3 = 9, a 4 = 19, to obtain the solution. Program Descriptions Trouble Shooting TI-81: TI-82: TI-83: TI-83 Plus: TI-84 Plus. Quotient is calculated using division operator(/) in java. The modulo operation is the same as ‘ the remainder of the division ’. Once you remember that, this problem is fairly straightforward. Modulo Calculator. // import java. The number left over is called the remainder. Simply input the two numbers for which you would like to determine the modulo and click on the "Calculate a mod b" button. JRJC - How To Use Modulo Modulo is nothing more than "remainder after division. There are many retailers that fee your a level amount for elements and labors, but other folks will attempt and charge a fee a cost for each 60 minutes they invest dealing with your vehicle. 8-bit Checksum is also called the 2's compliment of addition of all bytes. The Java platform provides two implementation of hashing functions: MD5 (produces 128-bit hash value), SHA-1 (160-bit) and SHA-2 (256-bit). powmod() function to perform modular exponentiation. All guys, how to quickly calculate modulus without using calculator, guys. The quotient is the quantity produced by the division of two numbers. My function always won on the small numbers, but took around 2 seconds on the large number. java file // Class containing the main() method public class DisplayName. Calc is a Java calculator for MIDP or J2ME devices, such as a Java-enabled mobile phone or PDA. This program is a simple calculator designed in java using switch case statement to perform some basic arithmetic operation on two integers entered by user. Java Calculator Step 1: - Create a blank Java project and name it Java Calculator. The sequence is considered valid if the checksum mod 10 equals to zero. We're finally in a position to state the definitive rule about quoting strings: When in doubt, enclose a string in single quotes, unless it contains tildes or any expression involving a dollar sign, in which case you should use double. number = positive integer ; bitstring = "" while (number > 0 ) { bit = number mod 2 ; quotient = number div 2 ; put bit to the left of any previous bits in the bitstring ; number = quotient ; }. You can see in the given example that we have create two. Remainder is calculated using modulus operator(%) in java. Here are some examples that you might want to try, if you're rusty on this:. Round up your brain cells as we explore number rounding in the language! Basic idea. Like & Subscribe! Video. This modulo calculator is a handy tool for finding the result of modulo operations. Round this to a whole number of 49. The IEEERemainder method is not the same as the remainder operator. alvin alexander Java int FAQ - How to multiply two integers. If you're behind a web filter, please make sure that the domains *. Computing exponents modulo a number: Repeated squaring • How do you compute (1415)13 mod 2537 = 2182 using just a calculator? Or how do you check that 2340 mod 341 = 1? You can do this using the method of repeated. In programming it's often used to restrict an index to the bounds of an array or length limited data structure. You might want to calculate the remainder from an integer division, not throw it away. The resulting checksum is 210. The percent sign is used in many computer languages as a brief, single-character symbol for the remainder of a division, not for a percentage of a number, as you might expect. On most common systems, modulus performs a division, which is a very slow operation. 4 j` We have converted a complex number from polar form (using degrees) into rectangular form. Sum all digits in even position: (2+4+2+7+4)=19. The reason your calculator says 113 modulo 120 = 113 is because 113 < 120, so it isn't doing any division. Here are some examples of how to calculate the check digit according to Modulo 10:. See Khan Academy Article for more information. Shinde1 and H. Online shopping from the earth's biggest selection of books, magazines, music, DVDs, videos, electronics, computers, software, apparel & accessories, shoes, jewelry. A modular equation is an equation (at least one unknown variable) valid according to a linear congruence (modulo/modulus). My professor was hinting that there might be a way to do this using the modulus operator. The Euclid’s algorithm (or Euclidean Algorithm) is a method for efficiently finding the greatest common divisor (GCD) of two numbers. ArithmeticException − If m ≤ 0, or this BigInteger has no multiplicative inverse mod m (that is, this BigInteger is not relatively prime to m. java file // Class containing the main() method public class DisplayName. 1); // returns number 2. 24) trigonometric. If the last step gives rem = 1, then 'rem + binary' will be 1100 which is correct as the last remainder was placed in the beginning of the binary representation. 1, you will find some wrapping (like an object identifier) as well as an internal ASN. The format is based on ASN. Therefore, it will return the change in the least amount of coins. If the remainder is zero, the current value completely divides the number and is a factor of the number. without any remainder. from base 10 to Binary Representation. But when n is a prime number, then modular arithmetic keeps many of the nice properties we are used to with whole numbers. The least (or lowest) common multiple (lcm) of two (or more) positive integer is the lowest integer that is evenly divisible (with remainder equal to zero) by these integers. To illustrate the abilities of this applet consider the following Figure which shows three sequences of 100,000 points each, using the same generator, for k=1 (red), k2 (green), and k=3. JavaScript. To Find sum of digits means add all the digits of any number, for example we take any number like 358. The ususal way to compute a mod m is to take the remainder after integer division. This calculator is concerned only with changing numbers into different bases and no attempt is made to explain what these numbers are and how they work. 0/5= 0 Remainder 0 i. 3 Precedence of Operations Up: 1. The modulus of elasticity, also known as tensile elastic modulus or Young's modulus, is the stress required to produce unit strain. How do I create a formula that will calculate a check digit for a 9-digit number using MOD 10? The weighting is 212121212. The check digit is the number which adds the remainder to 10. MOD(number, divisor) The MOD function syntax has the following arguments: Number Required. The IEEERemainder method is not the same as the remainder operator. Unfortunately many students are unaware of the capability of many calculator keys. when I calculate numbers in java by %, it makes me wrong why 2%3 in java equals 2? if you like the question,vote for me How can I calculate %( modulo) in java? | SoloLearn: Learn to code for FREE! COURSES. cer" -modulus -noout or. The % or "modulus" operator means "perform a division operation, and take the remainder, if any". Modulo 3 to eight elements: 0, 1, 1, 2, 0, 2, 2, 1 Modulo 10 to sixty, et cetera. First, let us discuss how the operator works. The Remainder or Modulus Operator in Java. It's a binary operator i. Calculate Circle Area using Java Example. Modulo a Prime Number We have seen that modular arithmetic can both be easier than normal arithmetic (in how powers behave), and more diﬃcult (in that we can’t always divide). See how it works by examples: floor(2. A value used on either side of an operator is called an operand. For a^b mod c, a can be no larger than 1 EE 12. This almost doesn't warrant its own post; but, it seems to be one of those small factoids that I can't keep in my head without writing it down. Although both return the remainder after division, the formulas they use are different. (The solution is x 20 (mod 56). Basically this method performs the modulo operator between this BigInteger and method argument m or simply this % m. 32 Replies ZipZapRap; Blizzard announces World of Warcraft. The % operator returns the remainder of two numbers. Directions: Select wood species and grade (or enter values for modulus of elasticity, E, and allowable stress, Fc, after setting "Species" for "Other"), wet service conditions, duration of load factor (CD), and effective column height for both axes (unless braced at different points, both heights should be the same -- see Fig. The modulus defines the amount that the material will deform under such external forces. This method computes points in elliptic curves, which are represented by formulas such as y ² ≡ x ³ + a x + b (mod n ) where n is the number to factor. For example, it's the algorithm used by credit card companies to generate the final digit of a credit card. A humble request Our website is made possible by displaying online advertisements to our visitors. Primality tests (based on the Miller-Rabin algorithm ) become noticeably slower when x is over a hundred digits long. A modulo of a number is should be in the range of 0 and (divisor-1). Simple and Easy Core Java Tutorial to help beginners learn java. Online Checksum Calculator This Checksum Calculator allows you to find the checksum of your input string. alvin alexander Java int FAQ - How to multiply two integers. Round this to a whole number of 49. On this document we will be showing a java example on how to use the mod() method of BigInteger Class. This site houses links to the documentation, source code repository, issues list and information related to GWT roadmap and release. Know how much you can afford ooba considers your financial information in the same way a bank would, to give you an accurate assessment of what you can afford. modulus java | modulus java | java modulus operator | modulus javascript | java modulus calculator | java modulus example | modulus java explained | modulus jav. Java Programming Steps. Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube. Modulo helps here. Implementations are from Sun (java. Perhaps you have warm memories of doing arithmetic drills in grade school. While that may not sound like a real differentiator, it is. My professor was hinting that there might be a way to do this using the modulus operator. You can evaluate your expressions in the above INPUT box. Integer division determines how many times one integer goes into another. Easy to use and read. Basic modulo calculator for android. of arguments In this example, we have created two methods, first add() method performs addition of two numbers and second add method performs addition of three numbers. WHY IS MODULO NEEDED. Here: We compute a hash code for a String based on its characters and length. Thus, 7 / 3 is 2 with a remainder of 1. // Program to Perform Arithmetic Operations in Java package JavaOperators. From here on I will refer to JavaScript's behavior linked above: Taking % of a negative number is the same as ignoring the sign, taking the modulo of that and then adding the sign back to the result. It provides operators for five basic arithmetic calculations: addition, subtraction, multiplication, division, and taking the modulus. 4 j` We have converted a complex number from polar form (using degrees) into rectangular form. In this program, you’ll learn to compute quotient and remainder from the given dividend and divisor in Java. Java Modulus / Modulo operator - Examples and Uses The Java modulus '%' operator is one of numerous operators built into the Java programming language. Java Program to Find sum of Digits. Find modulus (remainder) x % n Example Let x = 27 and n = 5. Consider the following program which takes a number from user and calculates the remainder of the number with divided by 3. To learn more about the Poisson distribution, read Stat Trek's tutorial on the Poisson distribution. How do you calculate modulus in calculator Mini Spy. It can be applied to the floating-point types and integer types both. Big online calculator Added by: tomek, 2008 V 02, Last modified: 2015 III 08 Put a formula into the edit box (ttmath 0. The sum is divided by 11 and if the remainder is 0, the number is correct. This is a simplified version of the online calculator. p%q is the remainder of p which cannot be divided by q, e. Modulus definition, a coefficient pertaining to a physical property. The check digit is the last barcode number that makes sure the barcode is correctly composed. Train on kata in the dojo and reach your highest potential. (b) Indeed, the above differences can cause the results of the gcd to differ by a sign. The % operator returns the remainder of two numbers. Description. The standard arithmetic operators are addition (+), subtraction (-), multiplication (*), and division (/). This field affects both calculator code generation and online calculation as it determines the data input direction of the core calculator code. The Hexadecimal Calculator converts between Decimals and Hexadecimals. As an overarching issue, e-business security can be thought of. In this section, you will learn how to determine the modulus of number in jsp. Hello, I want to verfiy digital signature generated with Java API with 'SHA1withRSA'. This is straightforward when the operands are within the range of the available divide hardware, but the divide operation is frequently among the very slowest arithmetic operations available, some small microcontrollers have no divide hardware. This function is often called the modulo operation, which can be expressed as b = a - m. Well, just like you would do long division by hand. Divide the result of step four by 10. How to calculate modulus in java - Open Files. Contribute to vitonimal/androidModuloCalculator development by creating an account on GitHub. e 16 Mod 5 is 1. Instructions: Enter a number in the box labeled x:. The MOD function, short for modulo or modulus, divides numbers in Excel. The method you would want to use is calling for a modulus so 'Mod' would be your method. It will be interesting to see what happens. I hope this helps explain. Work the division in your calculator as normal. Calculator in Java with Source Code, see the example of calculator in java, Swing Tutorial with example of JButton, JRadioButton, JTextField, JTextArea, JList, JColorChooser classes that are found in javax. The modulus operator varied from 4,000-70,000 nanoseconds. How can You Calculate Remainder in Java? Java has a significant arithmetical operator which all people aren't familiar with. The remainder operator has the same sign as the left operand; it is defined such that ((a/b)*b) + (a%b) is always equal to a. An important consequence of the theorem is that when studying modular arithmetic in general, we can first study modular arithmetic a prime power and then appeal to the Chinese Remainder Theorem to generalize any results. Note that when the divisor is greater than the dividend, the remainder constitutes the value of the entire dividend. It also creates a heart rate training zone chart based on the Karvonen and Zoladz methods GoodCalculators. Cable 101 Wire rope and cable are each considered a “machine”. How to find modulus by simple calculation. This my be why the 3 is returned. The Modulo Calculator is used to perform the modulo operation on numbers. You can see in the given example that we have create two. 1197/103 = 11 remainder 67 Cobol help calculate a remainder - COBOL General discussion - Tek-Tips ENGINEERING. Create the Path to Student Success. Example: Compute Quotient and Remainder. JRJC - How To Use Modulo Modulo is nothing more than "remainder after division. Program Descriptions Trouble Shooting TI-81: TI-82: TI-83: TI-83 Plus: TI-84 Plus. For example, it's the algorithm used by credit card companies to generate the final digit of a credit card. Java program to print alternate prime numbers 4. The resulting checksum is 210. The Euclid’s algorithm (or Euclidean Algorithm) is a method for efficiently finding the greatest common divisor (GCD) of two numbers. Technique used by many a programmer to work out mod(x,y) when a mod function isn't available i. Because Ruby, Python, Php, Java, Java, Javascript, C++, C#, and Other Language, use modulus for some calculations and many also used in " Question Challenge ". Once I have one or two working Java programs, I plan to run some parallel testing. You can use some other modulus m instead of 10, as long as it's the same through the whole problem. If the remainder is zero, the current value completely divides the number and is a factor of the number. 5 is a Fibonacci number since 5x5 2 –4 is 121 which is 11 2 4 is not a Fibonacci number since neither 5x4 2 +4=84 nor 5x4 2 –4=76 are pefect squares. Remainder Calculator draws visual representation of remainder and shows long division work. The remainder after integer division is simply dropped, no matter how big it is. Take care that numbers in any base, other than 10, are said by naming the separate digits. Java program for selection sorting 3. For example 5%2 will return 1 because if you divide 5 with 2, the. I don't think I have *EVER* found the remainder operation useful, except as a means to calculate the modulus. Generated on Sun Jul 16 16:27:45 2006 by 1. Coding Practices – The Modulus Operator. Function name: (null) Compiled variables: none. The modulo of "a" divided by "b" is equal to the remainder after the division. Consider that just before the last division, we have binary = 100. This tutorial will show some basic applications of the modulo operator, ranging from daily life "issues" till some (extremely simplified) data structures in JAVA. Demonstrates how to get the RSA key modulus from either the certificate (. Since then, web applications have evolved, and so have my skills in building them. The Weibull distribution is one of the most widely used lifetime distributions in reliability engineering. This gives us the reminder after a division. An important consequence of the theorem is that when studying modular arithmetic in general, we can first study modular arithmetic a prime power and then appeal to the Chinese Remainder Theorem to generalize any results. It is easy to test if a whole number is square on a calculator by taking its square root and checking that it has nothing after the decimal point. The Chinese remainder theorem is a theorem which gives a unique solution to simultaneous linear congruences with coprime moduli. It was developed on a Sony Ericsson T610, which was my first Java-enabled phone but which has such a pitiful built-in calculator that I was compelled to develop this application. there easier way achieve without user interaction? alternatively, there way drop report chart/tablix data array or list in c#? you have 1 special requirement there might if tell why want this. One of the tricky coding question for Java programmers How to Check If Number is Even or Odd without using Modulus or Remainder Operator. Free Java Guide. This is a description of calculating check digits according to Modulo 10. Integer division can come in very handy. You can give that same pleasure to your computer. It has a similar interface to the Windows built-in calculator (Standard View) and it can handle complex numbers as operands. The full version you can get and use here: Calculator. In this representation, a is the dividend, mod is the modulus operator, b is the divisor, and r is the remainder after dividing the divided (a) by the divisor (b).