Sum of last two digits of two given numbers. For Example: Input: [123, 456 .
Sum of last two digits of two given numbers So, if you are given an integer num and you are told to find the sum of the digits of that number. It works as long as the digits are distinct and either none of them is zero or you include numbers starting with zero. Feb 11, 2023 · The formula I provided works only if there are a minimum of 2 numbers in the cell; otherwise, it returns an #N/A error, as there are not enough numbers in the cell if less than two. Learn the definition, how to find the sum on the number line, solved examples, and more. The worst, average and best case are same for this problem as we iterate through fixed number of digits. Extract last digit of the given number. The tens digit in the form of a decimal is . If the digits have a match, like $1,2,3,3$ you have fewer numbers as swapping the $3$'s doesn't produce a new number. Place the decimal point in each number so that the sum of the resulting numbers is 100. 27, 1283. Jan 13, 2017 · 3 n[0] and n[1] are strings. This program exactly produces the same output as the previous program. Example 1: Input: num = 38 Output: 2 Explanation: The process is 38 --> 3 + 8 --> 11 11 --> 1 + 1 --> 2 Since 2 has only one digit, return it. Below is the implementation of the above approach: Oct 28, 2014 · Can you tell me how Can I fix this program to make the "sumSecTolastD" operator does the following: 1- sum the second digit to the last digit in an integer (for example: 324 + 564 + 9876 = 29 since (2 + 4) + (6 + 4) + (8 + 7 + 6) = 29). Nov 12, 2025 · Given a list of integers, write a Python program to calculate the sum of digits for each element and store the results in a new list. For example, given the number 12345, the sum of its digits is 1 + 2 + 3 + 4 + 5 = 15. Last digit of the 154 is 4 . How to use the SUM function in Excel to add individual values, cell references, ranges, or a mix of all three. Jul 12, 2025 · Input: M = 3, N = 7 Output: 1 Explanation: We need to find F 3 + F 4 + F 5 + F 6 + F 7 => 2 + 3 + 5 + 8 + 13 = 31. 6895948117342279+4011 Answer is 100 Show transcribed image text Here’s the best way to solve it. Also, how does the answer change if we work in different number systems, or allow for "digits" which range from 35 to 54 (e. If rational numbers are included, then a square is the ratio of two square integers, and, conversely, the ratio of two square integers is a square, for example, . sum noun (CALCULATION) [ C ] a calculation, especially a simple one, using such processes as adding, taking away, multiplying, or dividing: The sum can be defined as the result of the addition of two or more numbers. Write a C++ program that adds the digits of each integer in a range and then outputs the total sum of all these digits. Write a Program to Find the Sum of Digits in Java using For Loop, While Loop, Functions, and Recursion. Jul 11, 2025 · Given a number n, we need to find the last two digits of 2 n. For example, I entered 52264. Nov 13, 2025 · Write a C++ program to calculate the sum of all digits in the numbers between two given integers using loops and arithmetic operations. Iterative: Mar 17, 2025 · Given a number, we need to find sum of its digits using recursion. Ans: Hint: In this question, we will first let the tens digit and the units digit as variables and th Clearly we cannot reach a sum of , unless (i. Below is the explanation - Last digit of the 267 is 7 Last digit of the 154 is 4 Sum of 7 and $4=11$ Write a program to help Rohit achieve this for any given two numbers. Using Function, compute the sum of the first and last digits This is the last program of this article, created using a user-defined function named sumfun () that takes the given number as its argument and returns the sum of the first and last digits of its argument. Use the SUM function in Excel to sum a range of cells, an entire column or non-contiguous cells. The digit sum of a number is often used in numerology and sometimes in math problems. Oct 31, 2024 · The sum of digits refers to the result obtained by adding together all the individual digits of a given number. If you repeat above three steps till the number becomes 0. In mathematics, the sum of two numbers is the number that is obtained when they are added together. For Example: Input: [123, 456 Tool to find the sum of all digits of a number. A workbook is also included to download and practice. Given a number, the task is to find its digital root. I need all the digits of any three digit number to add them together, and store that value using the % remainder symbol. It includes some of the basic challenges and exercises I’ve worked through - Basic_programs/sum_of_last_digits_of_two_numbers. + is only addition for two numbers, but concatenation for any other case, so "2" + "9" is back at "29" rather than 11 that you hope for. Jun 13, 2015 · Required knowledge Basic C programming, While loop Logic to find sum of digits of a number The main idea to find sum of digits can be divided in three steps. Let A and B denote the numbers of lucky tickets and medium tickets, respectively. Jul 23, 2025 · [Naive Approach] By storing all Fibonacci numbers - O (n) time and O (n) space The idea is simple we will first generate all Fibonacci numbers up to a given number n, then compute and print the sum of these Fibonacci numbers. That would then lead to the 4th digit being 9, and finishing the problem from there would be easy. Tool to find the sum of all digits of a number. As we are looping through all digits of the number N to find the sum, the time complexity will be O (logN). Jan 6, 2014 · How to print last two digits of given integer a=1234 in java Asked 11 years, 10 months ago Modified 3 years, 1 month ago Viewed 43k times You have to count the pair of two numbers a and b such that sum of two numbers are equal to n. So if the digits were $0,1,2,3$ you would have to include $0123$ and $0312$ in your sum. 2-digit numbers have only two place values - the units place and the tens place. A ticket is called medium if the sum of all its digits is 27. The result of adding numbers or quantities. Write a C++ program that reads a number and prints the sum of its first and last digits computed without converting the number to a string. 89, 3987. , n=5 digits for number 12345) you can calculate the sum of the first n-1 digits 1234 and add the last digit to it, i. We covered the problem definition, approach, algorithm, code implementation, complexity analysis, edge cases, and testing. For example when 2 is added to 3 the resultant will be equal to the sum of both the numbers which is equal to 5, (2 + 3 = 5). The questions include methods to check if a number is even or odd, find the last digit or second last digit of a number, calculate the sum of the last digits of two numbers, check if one number is a multiple of another, count even and odd numbers in an array, check if a number is prime, calculate the factorial or nth Sep 29, 2020 · The pure math solutions are the way to go. May 20, 2020 · In this video you will learn to write the C function program to Sum of last digits of two given numbers. has digits). Add Digits - Given an integer num, repeatedly add all its digits until the result has only one digit, and return it. Here, first, we found the first and last digits in a given Question Rohit wants to add the last digit of two numbers. Read the Question first, so that you will better Understanding the basics – Last two digits of a product Last two digits of a number is basically the tens place and units place digit of that number. To remove the decimal portion, we can simply take the floor of the expression, . Declare two integer variables firstDigit and lastDigit and initialize both to 0. Now adding all the digits = 5 + 9 For instance, 24 + 123 has the last digit 7 as does 1231234 + 3, even though the two sums have completely di erent numbers; their last digits are the same, so the sum should have the same last Jul 23, 2025 · Given a number, find the sum of its digits. Write a Python program to find, from a list of number pairs, the pair whose sum produces the maximum digit count. The function takes two numbers N and M as input and prints the summation of their last digits. If the number N is in base B (usually B=10), then the number of digits in N is log 10 N. e last two digit of 1!+2!+3!+…. , 38 is allowed to be a digit)? Jan 4, 2017 · The sum of digits in a two digit number formed by the two digits from $1$ to $9$ is $8$. 2- if I insert one digit only, it still able to give me the sum ( for example: 1 + 3 + 4 = 8). How to use sum in a sentence. We can conclude that all the numbers above except 309 are divisible by 2. Just a shortcut that is also mentioned in the linked site Multiply the tens digit of the number with last digit of exponent to get the tens digit. 75, 9897. A number is divisible by 3 if the sum of the digits of the number is divisible by 3. Note: As this count may be large, return the remainder after dividing it by 1000000007 (109 + 7). Can you solve this real interview question? Sum of Two Integers - Given two integers a and b, return the sum of the two integers without using the operators + and -. Yes, this is an assignment. What Is a 2 Digit Addition Calculator? This calculator helps you to calculate faster and gives you the sum of any two-digit numbers within a few seconds. Mar 29, 2022 · So for each cycle, sum = sum of first 10 last digits, after this, we can divide k by 10 and add the last digit of remaining numbers from starting. Get the code and step-by-step explanation. Dec 16, 2022 · Since you have already figured out first and last digits, all you need to do is print their sum; print (first_digit + last_digit) Sep 1, 2021 · You can use binomial formula like this. For example, If the given numbers are 267 and 154, the output should be 11. e. if the given numbers are 267 and 154, the output should be 11. Apply the same procedure to the new number: 5 2 + 5 2 = 25 + 25 = 50. May 24, 2025 · Write a Python program to check if the sum of the last digits of two numbers equals the last digit of a third number using modular arithmetic. Oct 7, 2024 · Approach: Declare an integer variable say ‘ number ‘ and initialize a value. In most cases, the powers are quite large numbers such as 6032 31 603231 or 89 47, 8947, so that computing the power itself is out of the question. You can use the above method if you are not supposed to show your work in the exam otherwise you can use the binomial formula used in the Jul 23, 2025 · The digital root of a positive integer is found by summing the digits of the integer. Finally you will be Aug 14, 2025 · Flowchart: For more Practice: Solve these Related Problems: Write a C++ program to calculate the sum of the first and last digits of an integer by extracting digits using division and modulus. Aug 18, 2025 · Learn various methods to find the sum of digits in a Python number. So, n = 99 - 10 + 1 = 90 (there are 90 two-digit numbers). The We would like to show you a description here but the site won’t allow us. 98, 5678. Iterative: // The main method must be in a class named "Main". Multiplication (×): This operation is used to get the product of inputs to get the result. The trick to find the last two digits of any number ending with 1 is the UNIT DIGIT of the product of the unit digit of the power and the ten's digit. Alternately, you can do this purely numerically, without ever touching strings: Oct 10, 2022 · First, calculate the reverse of the given number. Find last digit by lastDigit=number%10 Inside while loop find last digit by rem=number%10 and then number=number/10 and continuing the while loop till number value becomes 0. , 1234+5. Then, it will divide the given number into individuals and add those individual (Sum) digits using Java While Loop. Either of following approaches can be used to finding two numbers numbers in a list that add up to a given target value: number_range = [1184. Jul 25, 2021 · The digit sum is always in the same remainder class mod 9 as the original decimal number, this applies recursively, and thus reducing it to one digit just is the remainder under division by 9. This is correct. Use parseInt(n[0]) (and similar for n[1]) to turn them into something you can do arithmetic with. Prove that A = B. Extract the last digit: 12345 % 10 = 5, pass 1234 to the next step. But here is an alternative using strings. Java program to find the Sum of Digits using While Loop This program allows the user to enter any positive integer. We can represent as the sum of the tens digit and the ones digit of . So given a number say 1439, the last two digits of this number are 3 and 9, which is pretty straight forward. Then . Jun 8, 2022 · Sum of last digits of two given numbers Rohit wants to add the last digits of two given numbers. Many mathematical contests ask students to find the last digit (or digits) of a power. The concept of square can be extended to some other number systems. Write a program using python to help Rohit achieve this for any given two numbers. However, there are a number of tools, such as modular arithmetic, the Chinese remainder theorem, and Euler's theorem that serve as shortcuts to finding the last Feb 11, 2023 · Good day, please help to create a formula, i have a number in a cell. Jun 30, 2024 · This tutorial will teach you 6 easy examples to use the SUM function in excel. Now, how do we find the last two digits in the product of 1439 x 2786? One feasible approach is using the vertical and cross wise Sum of last digits of two given numbers Rohit wants to add the last digits of two given numbers. To create awesome SUM formulas, combine the SUM function with other Excel functions. For example, if I have the number 2568, the app will calculate 2+5+6+8 which is equal with 21. Explanation: The Sum Of Digits of A Number i. This is the Wipro Assignment Question. Example : Input : n = 687 Output : 21 Input : n = 12 Output : 3 1. like number is 12345 results is 1239 sample file is attached, please help Question: In each of the given numbers, the decimal point may be placed in front of the first digit, behind the last digit, or between any two digits. If there exist no n digit number with sum of digits equal to given sum, print -1. Oct 4, 2022 · The recursive solution makes use of the fact that to calculate the sum of n digits (e. Aug 14, 2025 · Write a C++ program to recursively calculate the sum of the digits of a given number. As it is processed and not required any more. If the given numbers are 267 and 154, the output should be 11. To test divisibility by any number expressed as the product of prime factors , we can separately test for divisibility by each prime to its appropriate power. The document contains 15 coding questions and their solutions in Java. Example Sep 28, 2022 · Given a number N, the task is to find the unit and tens places digit of the first N natural numbers factorials, i. Then, let be a four digit number in the form . You can use the above method if you are not supposed to show your work in the exam otherwise you can use the binomial formula used in the We would like to show you a description here but the site won’t allow us. The sum of 6 and 9, for example, is 15, and the sum of 4 x and 5 x is 9 x. Are there any good ways for you to sum all digits of a number in Excel? In a given number N, there are log (N) bits. Continue in this manner. The meaning of SUM is an indefinite or specified amount of money. Jan 15, 2017 · With my code, I want to get the last two digits of an integer. This has been confusing me and I would appreciate anyones ideas. Sum of 7 and 4 is 11 . Example 2: Which of the numbers 100, 514, 309, and 768 are divisible by 2? Solution: If we examine all four numbers, only the number 309 doesn’t end with 0, 2, 4, 6, or 8. Example: Input: n = 2, sum= 2 Output: 2 Explanation: The numbers are 11 and 20 Input: n = 2, sum= 5 Output: 5 Explanation: The numbers are 14, 23, 32, 41 The formula for the sum of the first n terms of an arithmetic series is: @$\begin {align*}\text {Sum} = \frac {n} {2} (\text {first term + last term})\end {align*}@$ In this case, the first two-digit number is 10, and the last two-digit number is 99. Output must be 5+4 = 9. Naive Approach: The naive approach for this problem is to one by one find the sum of all K th Fibonacci Numbers where K lies in the range [M, N] and return the last digit of the sum in the end. Below is the implementation of the above approach: Jul 15, 2025 · The task of summing the digits of a given number in Python involves extracting each digit and computing their total . This repository is just a collection of coding solutions that show my journey and problem-solving skills as I’ve been learning to code. But when I make x a positive number, it will take the first x digits, if it is a negative number, it will remove the first x digits. Learn how to calculate the sum of digits of a number in C. So, Sum = (no. : Input: 932 Output: 14, which is (9 + 3 + 2) What is the fastest way of doing this? I instinctively did: sum (int (digit) for digit in str ( Jul 23, 2025 · Given a number, find sum of its digits. For example, if the given numbers are 267 and 154, the output should be: Last digit of 267 is 7 Last digit of 154 is 4 Sum of 7 and 4 = 11 Write a program to help Rohit achieve this. May 24, 2025 · Write a Python program to iteratively sum the digits of a number until a single digit remains, and count the number of iterations. Examples: Input: 12345 Output: 15 Explanation: Sum of digits → 1 + 2 + 3 + 4 + 5 = 15 Input: 45632 Output: 20 Approach: To understand the algorithm, consider the number 12345 and refer to the illustration below. i need to add last 02 digits of this number and rest of number will remain same. Now adding all the digits = 6 + 2 + 5 Input: number = 9, power = 5 Output: 27 Explanation: Raising 9 to the power 5 we get 59049. A ticket is called lucky if the sum of its first three digits is equal to the sum of its last three digits. The length of a number is defined as the number of digits in its decimal representation without leading zeroes. I have explained the program on Visual Studio Code, you can use any other ide Jul 14, 2025 · We can sum the digits of a number by repeatedly extracting the last digit using n % 10, adding it to the sum, and then removing it by dividing n by 10 using integer division. Hence, 2-digit numbers start from 10 and end on 99. g. This is continued as long as necessary to obtain a single digit. Examples: Input: number = 5, power = 4 Output: 13 Explanation: Raising 5 to the power 4 we get 625. nublic static void addLastDigits (int inputting inputs Feb 4, 2011 · I want to write a program for finding out the sum of first and the last digit of any number entered through keyboard. c at main · Bhagya-06/Basic_programs The digit sum calculator helps you calculate the total sum of the digits in the given numbers. You can use a simple formula to sum numbers in a range (a group of cells), but the SUM function is easier to use when you’re working with more than a few numbers. Digit sum In mathematics, the digit sum of a natural number in a given number base is the sum of all its digits. The prototype of the method should be: public static void addLastDigits(int input1, int input2) Here, input1 and input2 denote the two numbers. Write a Python program to extract the last digit from two integers and compare their sum with the last digit of another integer. Write a C++ Program to Find the Sum of the First and Last Digit of a Number with an example. If the resulting value contains two or more digits, those digits are summed and the process is repeated. convert the number to a string and then to a character array take the first and last character of the array and add them then subtract two of the character '0' Example. In this blog post, we discussed how to compute the sum of the last two digits of a given number using an efficient algorithm. Sums of Powers of Digits Given numbers N and m, compute the sum of digits of N raised to the power of m. Aug 2, 2021 · 3 Given two random 9-digit numbers (with the standard assumptions), what is the probability that the sum of their digits match? I saw this, and it seemed extremely relevant. N! where N<=10e18. Add the extracted last digit to sum. The number obtained on interchanging its digits exceeds the given number by 18. i. In this blog post, we discussed how to compute the sum of the last two digits of a given number using an efficient algorithm. c at main · Bhagya-06/Basic_programs The meaning of SUM is an indefinite or specified amount of money. If $9$ is added to the number then both the digits become equal. Sep 26, 2024 · If you have a cell which contains a value, and now, you want to add all the digits together of the cell. My attempt: Let the two Feb 17, 2023 · Given a number, we need to find the sum of all the digits of a number which we get after raising the number to a specified power. . Below is the explanation: Last digit of the 267 is 7 . Example 1: Input: a = 1, b = 2 Output: 3 Example 2: Input: a = 2, b = 3 Output: 5 Constraints: * -1000 <= a, b <= 1000 Jun 12, 2017 · I want to make small app which will calculate the sum of all the digits of a number. is the sum of the digits of . These techniques involve adding the individual digits, disregarding their place values. (ASCII values are shown in decimal) the number is 789 the character '7' has the ASCII value of 55 the character '9' has the ASCII value of 57 The sum of the digits of a two-digit number is 14. For a non-negative integer n, the n th square number is n2, with 02 = 0 being the zeroth one. of the cycle * sum of the last digit of first 10 integers divisible by M) + (sum of the last digit of k%10 integers divisible by M). To the reverse number we apply modulus operator and extract its last digit which is actually the first digit of a number so it is odd positioned digit. For example, if you have the value 12345 in a cell, you want to do this calculation: 1+2+3+4+5, and get the value 15. Nov 24, 2014 · I am trying to develop a program in Java that takes a number, such as 321, and finds the sum of digits, in this case 3 + 2 + 1 = 6. In this video you will learn to write the Java program to find sum of last digits of two given numbers. Examples: Input : n = 7 Output : 28 Input : n = 72 Output : 96 2^72 = 4722366482869645213696 A Naive Approach is to find the value of 2^n iteratively or using pow function. Jun 12, 2017 · I want to make small app which will calculate the sum of all the digits of a number. The prototype of the method should be : int digit Any of the numbers (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) used to construct a number digit sum Adding the digits of a number and repeating the process of the sum until If I want to find the sum of the digits of a number, i. Jul 23, 2025 · Given a number N, count the numbers X of length exactly N such that the number X and the sum of digits of the number X have digits A and B only in their decimal representation. The units digits resulted from the product will the second last digit. 77] Jun 10, 2023 · Tram tickets have six-digit numbers (from 000000 to 999999). Find the number. Feb 24, 2021 · Sum of last digits of two given numbers Rohit wants to add the last digits of two given numbers Le if the given numbers are 267 and 154, the output should Below is the explanation Last digit of the 267 is 7 Last digit of the 154 is 4 Sum of 7 and 4 = 11 Write a program to help Rohit achieve this The prototype of the method should be. Nov 11, 2025 · Discover Company Info on SUM LLC in Appleton, WI, such as Contacts, Addresses, Reviews, and Registered Agent. Oct 3, 2022 · Approach: The idea is to use the fact that whenever two digits of the numbers are added, then the place value will be the modulo of the sum of digits by the base whereas carry will be the integer division of the sum of digits by base. For example, let N = 1127 and m = 2. The next digit will be even positioned digit, and we can take the sum in alternating turns. Explore different methods, including using loops, recursion, and character input, with detailed examples and code snippets. , 38 is allowed to be a digit)? Write a C++ Program to Find the Sum of the First and Last Digit of a Number with an example. In this tutorial, we will learn how to write a C++ function that calculates the summation of the last digits of two numbers. Learn more about the numbers up to 2-digits along with examples and FAQs the Cuemath way! Aug 16, 2023 · Rohit wants to add the last digits of two given numbers. Clearly, the last digit of the sum is 1. For example: If the given numbers are 267 and 154, the output should be 11. Rohit wants to add the last digits of two given numbers. Learn how to write a C++ function that calculates the summation of the last digits of two numbers. This program takes any year as input and prints its last two digits. For example, the digit sum of the decimal number would be. Note: Leading 0's are not counted as digits. Remove last digit from given number. Compute the new number from 1 2 + 1 2 + 2 2 + 7 2 = 1 + 1 + 4 + 49 = 55. 02, 6012. If the resulting value is a single digit then that digit is the digital root. 1 + 2 is equal to 3. Aug 17, 2021 · Operations on Numbers Addition (+): This operation is used to add the inputs to get the output. Write a C++ program that extracts each digit from a number using modulus and division, and then prints their sum. To test the divisibility of a number by a power of 2 or a power of 5 (2 n or 5 n, in which n is a positive integer), one only need to look at the last n digits of that number. Jul 23, 2025 · Given two integers n and sum, the task is to find the count of all n digit numbers with sum of digits equal to sum. Note further that someone with greater insight into the problem would have jumped immediately to the solution, knowing that the 5th digit has to be 1, in order to make the last two digits form a 2-digit number that is the sum of some two digits. Once the value of 2^n is calculated, find the last two digits and print it. For example. wczqqkowrgurugloqouheukkfxihgpoxswyjwbgnaolqhzryeswdqsaoeauvibnvsexfbvqoyuwr