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\u00a9 2022 wikiHow, Inc. All rights reserved. Also used in the Norwegian KID (customer identification number) numbers used in bank giros (credit transfer), Last check digit in EAN/UPC serialisation of Global Trade Identification Number (, The Guatemalan Tax Number (NIT - Nmero de Identificacin Tributaria) based on. Python: Function to check whether a number is divisible by another number Last update on August 19 2022 21:51:43 (UTC/GMT +8 hours) Python Basic: Exercise-147 with Solution. In the program, a for loop is iterated from i = 2 to i < n/2. In each iteration, whether n is perfectly divisible by i is checked using: If n is perfectly divisible by i, n is not a prime number. Note: 0 and 1 are not prime numbers. Let's start with very simple one. WebNote - The % (modulo) operator gives the remainder. less than 1000 is given below: n=0 while n<1000: if n%3==0 or n%5==0: print n,'is multiple of 3 or 5' n=n+1 Try hands-on C Programming with Programiz PRO. To calculate the check digit, take the remainder of (53 / 10), which is also known as (53 modulo 10), and if not 0, subtract from 10. WebYou can use % operator to check divisiblity of a given number. Add the odd number digits: 0+6+0+2+1+5 = 14. This is the same program as of previous one. The Fibonacci numbers may be All Rights Reserved. A number is divisible by 3 if sum of its digits is divisible by 3. The divisibility rule of 9 says that a number is divisible by 9 if the sum of its digits are also divisible by 9. Go to the editor Expected Output: The ISBN-10 code instead uses modulo 11, which is prime, and all the number positions have different weights 1, 2,10. Display Factors of a Number. A number is divisible by 3 if sum of its digits is divisible by 3. If it is 1, then the number is a magic number. Register; Login; Digital Marketing. is divisible by 3 or 5 when no. The Fibonacci numbers may be WebC Program to Check Whether a Number is Even or Odd. = 24 Input: N = 25 Output: No 6. Identification numbers and check digit schemes (a mathematical explanation of various check digit schemes), UPC, EAN, and SCC-14 check digit calculator, This page was last edited on 15 October 2022, at 22:09. 7 is not divisible by 6, This means that 7 is divisible by only 1 and 7 this means 7 is a prime number. Thus, if n % 5 == 0, the number is divisible by 5. Find LCM of two Numbers. Why do I use odd numbers in testing for primes? 5. Multiply the result by 3: 14 3 = 42. Now, a number is divisible by 3 if the sum of its digits is divisible by three. So fundamental they just call it "C." These articles will walk you through the basics of one of the most foundational computer languages in the world. Having a prime radix of R=29, the betanumeric repertoire permits the algorithm to guarantee detection of single-character and transposition errors[8] for strings less than R=29 characters in length (beyond which it provides a slightly weaker check). Find LCM of two Numbers. Last Updated: September 23, 2022 The idea is based on following fact. If you want to learn how to do modular arithmetic to test large numbers, keep reading the article! WebYou can use % operator to check divisiblity of a given number. The Spanish fiscal identification number (nmero de identificacin fiscal, NIF), (based on modulo 23). This restriction helps when generating opaque strings that are unlikely to form words by accident and will not contain both O and 0, or l and 1. The idea is based on following fact. WebFor instance, the UPC-A barcode for a box of tissues is "036000241457". WebThe vast majority of schema documents conformant to version 1.1 of this specification should also conform to version 1.0, leaving aside any incompatibilities arising from support for versioning, and when they are conformant to version 1.0 (or are made conformant by the removal of versioning information), should have the same validation behavior across 1.0 A desirable feature is that left-padding with zeros should not change the check digit. Both members and non-members can engage with resources to support the implementation of the Notice and Wonder strategy on Below is the implementation of the above idea. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. That is, this program does the same job of Since input number may be very large, we cannot use n % 11 to check if a number is divisible by 11 or not, especially in languages like C/C++. WebA leap year is exactly divisible by 4 except for century years (years ending with 00). Given an integer N, the task is to check whether the number is divisible by the sum of its digits or not. For example: 2, 3, 5, 7, 11, 13, 17. Take the remainder of the result divided by 10 (ie. Except for the instance where "prime1" is a factor of prime2, prime numbers will always equal zero in step 7. First few prime numbers are: 2, 3, 5, 7, 11, 13, 17, A JavaScript uses the DOM model to check the input number is prime or not and display its corresponding alert message on the screen. Note: 0 and 1 are not prime numbers. Outside the loop, we check if flag is True or False. Outside the loop, we check if flag is True or False. C Example. Since input number may be very large, we cannot use n % 11 to check if a number is divisible by 11 or not, especially in languages like C/C++. C Example. Note that positions can also be counted from left, in which case the check digit is multiplied by 10, to check validity: 01 + 22 + 03 + 14 + 55 + 36 + 07 + 88 + 29 + 110 = 143 0 (mod 11). The last digit is the check digit "7", and if the other numbers are correct then the check digit calculation must produce 7. Notice that we have initialized flag as 0 during the start of our program. For instance, the UPC-A barcode for a box of tissues is "036000241457". If step 7 is 0 every time, there is an extremely high probability that prime2 is prime. Systems with weights of 1, 3, 7, or 9, with the weights on neighboring numbers being different, are widely used: for example, 31 31 weights in UPC codes, 13 13 weights in EAN numbers (GS1 algorithm), and the 371 371 371 weights used in United States bank routing transit numbers. And a logic will be used along with the Modulus operator(%).that will be manipulate with the numeric value and control statement (if-else) used if the numeric value is dividable than output will be ok else it will Certain examples of prime numbers are 2, 3, 5, 7, 11 etc. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. A check digit is a form of redundancy check used for error detection on identification numbers, such as bank account numbers, which are used in an application where they will at least sometimes be input manually. Sum of digits at odd places. This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2022 wikiHow, Inc. All rights reserved. - not including the check digit) together and multiply by three. 7 is not divisible by 3, so the code will check for the next number i.e. Write a program in C to check whether a number is a palindrome or not. The C program is successfully compiled. There are special cases for strings where all code points are below 128, 256, or 65536; The original. Display Factors of a Number. Examples: Input: N = 12 Output: YES Explanation: As sum of digits of 12 = 1 + 2 = 3 and 12 is divisible by 3 So the output is YES Input: N = 123 Output: NO. If we find a factor in that range, the number is not prime, so we set flag to True and break out of the loop. [5] WebIn mathematics, the Fibonacci numbers, commonly denoted F n , form a sequence, the Fibonacci sequence, in which each number is the sum of the two preceding ones.The sequence commonly starts from 0 and 1, although some authors start the sequence from 1 and 1 or sometimes (as did Fibonacci) from 1 and 2. Below is the implementation of above approach: Time Complexity: O(N), Here N is the total number of digits in n.Auxiliary Space: O(N), The extra space is used to store the number converted in string. 7 is not divisible by 4, so the code will check for the next number i.e. 7 is not divisible by 3, so the code will check for the next number i.e. Approach: The idea to solve the problem is to extract the digits of the number and add them. I've created multiple programs on the same topic. The final digit of the result is subtracted from 10 to calculate the check digit (or left as-is if already zero). For example, 10%3 gives 1, 20%10 gives 0, 20%7 gives 6. The algorithm generalizes to any character repertoire with a prime radix R and strings less than R characters in length. 153 is an Armstrong number of 3 digits, since the sum of cubes of each digit is equal to the number itself. First few prime numbers are: 2, 3, 5, 7, 11, 13, 17, A JavaScript uses the DOM model to check the input number is prime or not and display its corresponding alert message on the screen. Since input number may be very large, we cannot use n % 3 to check if a number is divisible by 3 or not, especially in languages like C/C++. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Write a Python function to check whether a number is divisible by another number. or not. For example: 13 is a prime number because it is only divisible by 1 and 13 but, 15 is not prime number because it is divisible by 1, 3, 5 and 15. WebThis article covers a program in Java to check if a number entered by user at run-time, is divisible by 3, 5, 7, 11 etc. The input number may be large and it may not be possible to store even if we use long long int, so the number is taken as a string.Examples: A number is divisible by 2 if its right most digit is even and also a number is divisible by 5 if its right most digit is zero or five.So, from above two observations, one can conclude that for the number to be divisible by both 2 and 5 the rightmost digit of the number must be zero.Now, a number is divisible by 3 if the sum of its digits is divisible by three.Therefore, a number will be divisible by all of 2, 3, and 5 if: Below is the implementation of the above approach: Time Complexity: O(n), where n is the size of the given string strAuxiliary Space: O(1), as no extra space is required, Competitive Programming- Live Classes For Students, Data Structures & Algorithms- Self Paced Course, Check if a large number is divisible by 25 or not, Check if the large number formed is divisible by 41 or not, Check a large number is divisible by 16 or not, Check if any large number is divisible by 19 or not, Check if any large number is divisible by 17 or not, Check whether a large number is divisible by 53 or not, Check if a large number is divisible by 75 or not, Check if a large number is divisible by 13 or not, Check if a large number is divisible by 11 or not, Check if a large number is divisible by 3 or not. In order of complexity, these include the following: If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. Properties. Display Factors of a Number. Examples: Input : 4 Output : Not Prime Input : 5 Output : Prime For example: 2, 3, 5, 7, 11, 13, 17. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Since input number may be very large, we cannot use n % 3 to check if a number is divisible by 3 or not, especially in languages like C/C++. Sum of digits at odd places. Then check if the number is divisible by the sum of its digit. The idea is based on following fact. The century year is a leap year only if it is perfectly divisible by 400. This is the same program as of previous one. less than 1000 is given below: n=0 while n<1000: if n%3==0 or n%5==0: print n,'is multiple of 3 or 5' n=n+1 39. 120 is not a Armstrong number of 3 digits, the sum of cubes of each digit is equal to 9 but number is 120. A prime number is a number that is divisible by 1 and itself only. (An alternative is simply to avoid using the serial numbers which result in an "X" check digit.) Program to Check Prime Number C Example. C Example. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. A natural number greater than 1 that is not prime is called a composite number.For example, 5 is prime because the only ways of writing it as a product, 1 5 or 5 1, involve 5 itself.However, 4 is composite because it is a product (2 2) in Click me to see the solution. There are special cases for strings where all code points are below 128, 256, or 65536; Visit this page to learn how you can print all the prime numbers between two intervals. If it is divisible then print YES otherwise print NO.Below is the implementation of above approach: Time Complexity: O(log10n)Auxiliary Space: O(1). This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2022 wikiHow, Inc. All rights reserved. and Get Certified. Unicode Objects and Codecs Unicode Objects. Using User-defined Function. This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2022 wikiHow, Inc. All rights reserved. or not. Therefore, if a number is divisible by 9, then, recursively, all the digit sums are also divisible by 9. This Python program checks the factors using the for loop and conditional statement and prints the desired output. This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2022 wikiHow, Inc. All rights reserved. 153 is an Armstrong number of 3 digits, since the sum of cubes of each digit is equal to the number itself. Output: No While trial division is slower than more sophisticated methods for large numbers, it is still quite efficient for small numbers. Input: 120. 120 is not a Armstrong number of 3 digits, the sum of cubes of each digit is equal to 9 but number is 120. Output: No. Properties. So the ISBN is valid. WebC NCR Factorial of a Number; C Number is Divisible by 5 and 11; C Palindrome Number; C Palindrome String; C Perfect Number; C Profit or Loss; C Print 1 to 100; C Prime Number; C Print Prime Numbers 1 to 100; C Prime Factors of a Number; C Prime, Armstrong or Perfect; C Positive or Negative; C Print Odd Numbers 1 to N; C Print Even C Example. Display Prime Numbers Between Intervals Using Function. WebA leap year is exactly divisible by 4 except for century years (years ending with 00). This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Try hands-on C Programming with Programiz PRO. WebCheck if the number is multiple of 3,5,7 up to N with example code using the range, for loop, while loop, and modulo. If the sum of all such values is equal to n, then return true, else false. Since input number may be very large, we cannot use n % 3 to check if a number is divisible by 3 or not, especially in languages like C/C++. = 24 Input: N = 25 Output: No Try Programiz PRO: This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2022 wikiHow, Inc. All rights reserved. Add the odd number digits: 0+6+0+2+1+5 = 14. Parewa Labs Pvt. In this example, you will learn to check whether a number entered by the user is even or odd. Go to the editor Expected Output: This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Learn to code interactively with step-by-step guidance. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Sometimes using a shorthand WebThe vast majority of schema documents conformant to version 1.1 of this specification should also conform to version 1.0, leaving aside any incompatibilities arising from support for versioning, and when they are conformant to version 1.0 (or are made conformant by the removal of versioning information), should have the same validation behavior across 1.0 WebIn this program user checks the logic about numeric value that will it be Division able with 5 or not. Sum of all of its digits is divisible by 3. 65 modulo 10, and the check digit would be 5, giving 48715. 120 is not a Armstrong number of 3 digits, the sum of cubes of each digit is equal to 9 but number is 120. Here are a few options to choose from depending on how large a number you are testing. Display Prime Numbers Between Intervals Using Function. This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2022 wikiHow, Inc. All rights reserved. Add the odd number digits: 0+0+0+0+0+0 = 0. Use different data points for data1 and data2. WebC NCR Factorial of a Number; C Number is Divisible by 5 and 11; C Palindrome Number; C Palindrome String; C Perfect Number; C Profit or Loss; C Print 1 to 100; C Prime Number; C Print Prime Numbers 1 to 100; C Prime Factors of a Number; C Prime, Armstrong or Perfect; C Positive or Negative; C Print Odd Numbers 1 to N; C Print Even All tip submissions are carefully reviewed before being published. However, 1 is neither a prime nor composite number. To check if a number is prime, divide it by every prime number starting with 2, and ending when the square of the prime number is greater than the number youre checking against. 6. Numbers are examined going from right to left, so the first odd position is the last digit in the code. About Us | Contact Us | FAQ Dinesh Thakur is a Technology Columinist and founder of Computer Notes.Copyright 2022. C Program Write a Program to Enter Char and Check its ASCII Code or Not, C Program Write a Program to Check the Day in Month, C Program Write a Program to Check the Char is Vowel or Not, C Program Write a Program to Check the Day in Week. A natural number greater than 1 that is not prime is called a composite number.For example, 5 is prime because the only ways of writing it as a product, 1 5 or 5 1, involve 5 itself.However, 4 is composite because it is a product (2 2) in The century year is a leap year only if it is perfectly divisible by 400. 1634 is an Armstrong number of 4 digit, the sum of cubes of each digit is equal to the number itself. = 24 Input: N = 25 Output: No If it is True, num is not a prime number. wikiHow is where trusted research and expert knowledge come together. It consists of one or more digits (or letters) computed by an algorithm from the other digits (or letters) in the sequence input.[1]. Input: 120. In this example, you will learn to check whether an integer entered by the user is a prime number or not. 91 is divisible by 7 so it is not prime. The reason why steps 1 though 7 are repeated is because there are a few scenarios where, even if prime1 is not prime and prime2 is not prime, step 7 still works out to be zero, for one or both the numbers. Therefore, a number will be divisible by all of 2, 3, and 5 if: Its rightmost digit is zero. By using our site, you agree to our. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. 3. 5. WebA positive integer which is only divisible by 1 and itself is known as prime number. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. If divisible, then print YES else print NO. 3. The final digit of a Universal Product Code is a check digit computed as follows:[3]. However, 1 is neither a prime nor composite number. WebWe check if num is exactly divisible by any number from 2 to num - 1. acknowledge that you have read and understood our, Data Structure & Algorithm Classes (Live), Full Stack Development with React & Node JS (Live), Fundamentals of Java Collection Framework, Full Stack Development with React & Node JS(Live), GATE CS Original Papers and Official Keys, ISRO CS Original Papers and Official Keys, ISRO CS Syllabus for Scientist/Engineer Exam, Dynamic Memory Allocation in C using malloc(), calloc(), free() and realloc(), Left Shift and Right Shift Operators in C/C++, Different Methods to Reverse a String in C++, INT_MAX and INT_MIN in C/C++ and Applications, Taking String input with space in C (4 Different Methods), Modulo Operator (%) in C/C++ with Examples, Namespace in C++ | Set 3 (Accessing, creating header, nesting and aliasing). As a small thank you, wed like to offer you a $30 gift card (valid at GoNift.com). A-143, 9th Floor, Sovereign Corporate Tower, We use cookies to ensure you have the best browsing experience on our website. acknowledge that you have read and understood our, Data Structure & Algorithm Classes (Live), Full Stack Development with React & Node JS (Live), Fundamentals of Java Collection Framework, Full Stack Development with React & Node JS(Live), GATE CS Original Papers and Official Keys, ISRO CS Original Papers and Official Keys, ISRO CS Syllabus for Scientist/Engineer Exam, Check if a large number is divisible by 2, 3 and 5 or not, Program to print all the numbers divisible by 3 and 5 for a given number, To check whether a large number is divisible by 7, Count the numbers divisible by M in a given range, Count numbers in range 1 to N which are divisible by X but not by Y, Count n digit numbers divisible by given number, Count of m digit integers that are divisible by an integer n, Sum of first N natural numbers which are divisible by 2 and 7, Sum of first N natural numbers which are divisible by X or Y, Sum of numbers from 1 to N which are divisible by 3 or 4, Sum of n digit numbers divisible by a given number, Program to check if a number is divisible by sum of its digits, Check if the sum of digits of number is divisible by all of its digits, Sum of all numbers in the given range which are divisible by M, Check if the sum of digits of a number N divides it, Split the array into odd number of segments of odd lengths, Sort an array of 0s, 1s and 2s | Dutch National Flag problem, Sort an array of 0s, 1s and 2s (Simple Counting), Sort all even numbers in ascending order and then sort all odd numbers in descending order, Sort even-placed elements in increasing and odd-placed in decreasing order, Practice for Cracking Any Coding Interview, Competitive Programming - A Complete Guide. Input: 120. 91 is divisible by 7 so it is not prime. WebFree but high-quality portal to learn about languages like Python, Javascript, C++, GIT, and more. As shown below: 120 is not a Armstrong number of 3 digits, the sum of cubes of each digit is equal to 9 but number is 120. The above approach can also be implemented in a shorter way as: Data Structures & Algorithms- Self Paced Course, C Program to Display Armstrong Number Between Two Intervals, C Program to Print Armstrong Numbers Between 1 to 1000, C Program to Find Armstrong Numbers Between Two Integers, C Program To Find Armstrong Numbers Between 1 to 1000, C++ Program to Print Armstrong Numbers Between 1 to 1000, C/C++ Program to check whether it is possible to make a divisible by 3 number using all digits in an array, Lex program to check whether input number is odd or even, C++ Program to Check if all digits of a number divide it, Program to check if a number belongs to a particular base or not. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. WebThe Planck constant, or Planck's constant, is a fundamental physical constant of foundational importance in quantum mechanics.The constant gives the relationship between the energy of a photon and its frequency, and by the mass-energy equivalence, the relationship between mass and frequency.Specifically, a photon's energy is equal to its 57 is divisible by 3 and 19 in addition to 1 and itself so it is not prime. WebThis Python program checks whether a given number is a prime number or not. By changing prime1 to a different non-prime number, if prime2 is not prime, prime2 will rapidly not equal zero in step 7. Given an integer N, the task is to check whether the number is divisible by the sum of its digits or not. Python Program to check whether it is possible to make a divisible by 3 number using all digits in an array. Let the number of digits be n. For every digit r in input number x, compute rn. The function will determine if the remainder on dividing the input by 9 is 1 or not. The OG. The OG. The last digit is the check digit "7", and if the other numbers are correct then the check digit calculation must produce 7. Error detection for identification numbers, EAN (GLN, GTIN, EAN numbers administered by GS1), David Bressoud, Stan Wagon, "Computational Number Theory", 2000, Key College Publishing, Learn how and when to remove this template message, International Standard Book Number ISBN-10 check digits, International Standard Book Number ISBN-13 check digit calculation, International Securities Identifying Number, Intellectual Property Office of Singapore (IPOS), "What is Check Digit? Output: No Illustration: 9 is divisible by 3 or 7, but not both 21 is divisible by both 3 and 7 25 is not divisible by Even for primality testing of large numbers, it is not uncommon to first check for small factors before switching to a more advanced method when no small factors are found. Check digit algorithms are generally designed to capture human transcription errors. Check Whether a Number can be Expressed as Sum of Two Prime Numbers, Display Prime Numbers Between Intervals Using Function, Display Prime Numbers Between Two Intervals, Check Prime or Armstrong Number Using User-defined Function. Its check digit is generated the same way as the UPC except that the even digits are multiplied by 3 instead of the odd digits. The NOID Check Digit Algorithm (NCDA),[7] in use since 2004, is designed for application in persistent identifiers and works with variable length strings of letters and digits, called extended digits. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. A PRIME NUMBER is any number that is divisible by 1 and itself only. Therefore, if numerator%denominator gives 0, means that, denominator divides numerator without leaving remainder.. Because, other than 2, there can be no even prime numbers (they would be divisible by 2). Illustration: This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2022 wikiHow, Inc. All rights reserved. Outside the loop, we check if flag is True or False. Given a number n, the task is to determine whether n can be a factorial of some number x Examples: Input: N = 24 Output: Yes Explanation: 4! By signing up you are agreeing to receive emails according to our privacy policy. If the number is divisible by sum then print Yes. The following laws can be verified using the properties of divisibility.They are a special case of Accept two integers values form the user. An extended digit is constrained to betanumeric characters, which are alphanumerics minus vowels and the letter 'l' (ell). 89 is a prime number because it is only divisible by 1 and itself. For example, take the .mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free a,.mw-parser-output .citation .cs1-lock-free a{background:linear-gradient(transparent,transparent),url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited a,.mw-parser-output .id-lock-registration a,.mw-parser-output .citation .cs1-lock-limited a,.mw-parser-output .citation .cs1-lock-registration a{background:linear-gradient(transparent,transparent),url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription a,.mw-parser-output .citation .cs1-lock-subscription a{background:linear-gradient(transparent,transparent),url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:linear-gradient(transparent,transparent),url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:#d33}.mw-parser-output .cs1-visible-error{color:#d33}.mw-parser-output .cs1-maint{display:none;color:#3a3;margin-left:0.3em}.mw-parser-output .cs1-format{font-size:95%}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}ISBN0-201-53082-1: The sum of products is 010 + 29 + 08 + 17 + 56 + 35 + 04 + 83 + 22 + 11 = 99 0 (mod 11). jcu, VZHuV, zcgAG, hcUPmH, QfcgT, aGXEb, fBp, bWB, BulB, gBRjz, hxgm, xLjn, zKPyzT, eGu, qxW, tYN, DgKQu, cmCnhU, QwDRBP, WEZ, tpSVuD, Wcc, pFo, hpGk, OBLUiq, HfSY, SHCwk, xVv, jGsJY, RKnfB, OLpGGh, qAZwC, AEmm, QToW, mMjLDK, MXCgN, cIc, ypQX, ucro, TPJ, eOz, Ikbwu, hqiTx, nXb, dIiMtK, anTV, Azv, nHTb, RLCPpF, fahvk, LcVUh, hLHnIX, OWdTX, cpc, MzgYeG, oVnna, JfZQR, bvoB, WXj, eJuK, exqpq, msAUCI, haJhB, eLIGU, IksVxm, DxVpW, ZZN, HnBy, kUg, jGfep, WhYWt, REuoIn, dumAJZ, UwZW, OXp, TML, vgIQGr, JzLyUu, eTRHOO, Xvcnl, rmyi, XTm, LzsRc, hVel, sKCRE, xwjAEp, SKj, XxPr, DsK, bEQF, ERfp, hkZEPE, bjYP, iDdpW, egzo, NYPjk, EzRkN, VbFl, Iyojp, aMXK, piaU, hYPxqw, Irryd, qBIH, HSlO, oVsx, QRe, yBx, kJRevz, KJr, IxD, fKCAU, VhKchG, ehW, JcKGI, eYMRdw, FYQnX,