and Get Certified. Initially, the decimal_num is 0, and the base is 1, where the rem variable stores the remainder of the number. Take Binary number as input. It supports the main variable data types used in most programming languages. For example, Convert binary number 11101110 into decimal number. What is Inner Class in Java? Stoi function will directly convert binary strings to decimal numbers. Every data are given as input to the computer converts into a binary number system. Required fields are marked *. If we are at last character which is LSB, then return its decimal as it will be the same. Suppose n = 13. Solving Cubic Equations - Methods and Examples. .wpdt-tc-F44336 { color: #F44336 !important;}. Write a C program that takes a binary number as input and convert it to a decimal number. The number after 9 is 10. Here you will learn how to convert binary to decimal in C++. 1 x 2 1 = 2. What is the probability of getting a sum of 7 when two dice are thrown? In this example, you will learn to convert binary number to decimal, and decimal number to binary manually by creating user-defined functions. Step 3. Given a binary number as input, we need to write a program to convert the given binary number into an equivalent decimal number. a. Explanation: (122) + (121)+(1*20) = 4 + 2 + 1 = 7. In this example, you will learn to convert binary numbers to decimal and vice-versa manually by creating a user-defined function. Step-2 Now use the result of above step and multiply with 2 and add the second digit of binary number. Binary Tree; Binary Search Tree; Heap; Hashing; Graph; Advanced Data Structure; Matrix; Strings; All Data Structures; Algorithms. C Program for Decimal to Binary Conversion, C Program To Find Decimal Equivalent Of Binary Linked List, Lex program for Decimal to Hexadecimal Conversion, C Program For Octal to Decimal Conversion, C Program For Hexadecimal to Decimal Conversion, C Program For Decimal to Hexadecimal Conversion, Rounding Floating Point Number To two Decimal Places in C and C++. Join our newsletter for the latest updates. Now, let's see how we can change the decimal number into a binary number. We know that computer only understands binary numbers that are 0 and 1. In this approach we are using the recursive function. double pow (double x, double y) Store it in a variable say binary. Step 9: Since number becomes = 0. Let's Discuss the algorithm for converting binary numbers into decimal numbers. The four different types of number system are:. New number is 10/2 = 5. Below is the implementation of the above idea. Convert an integer to a hex string in C++ Learn C++ practically Data Structures Courses We ask the user to enter a binary number and pass it to the convert() function to convert it decimal. If the binary number is 111. 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In this implementation we will use the function from the binary to decimal conversion lesson. Suppose n = 1101. We ask the user to enter a binary number and pass it to the convert () function to convert it decimal. The first criterion is the string that needs to be converted. Keep multiplying each successive resulting fraction by 2 until you get a resulting fraction product of zero. Analysis of Algorithms. Binary to Decimal Formula. Blockchain Technology Which is faster in youropinion?7. Step 2. Where, A represents the integer. Lets look at the below code snippet to understand this better. Decimal numbers are the common integers that we use in our daily lives. Check out ourfree coursesto get an edge over the competition. Write down the binary number. In the loop, we make the required calculations, as discussed in the above illustration, to convert the binary number to its decimal equivalent. 12.875. c. 16.86. d. 10.95. h header file. #include <stdio.h> #include <math.h> int binaryToDecimal (int binary) { int decimal = 0, i = 0 . Suppose n = 1101. Recommended PracticeDecimal to binaryTry It! Data Structures and Algorithms Since the computer processes data in bits, as series of Ones and Zeros, the processed data must be converted into decimal numbers for the users understanding and comprehension. In the program, we have included the header file cmath to perform mathematical operations in the program. For Working Professionals. Now, let's see how we can change the decimal number into a binary number. Let's see how the while loop in the convert() function works. Step 2: Starting with the least significant digit (LSB - the rightmost one), multiply the digit by the value of the position. Let's see how the while loop in the convert () function works. Parewa Labs Pvt. Step-1 First we need to multiply 0 with 2 and add the 1st digit in binary number. Asymptotic Analysis; Worst, Average and Best Cases; Asymptotic Notations; Little o and little omega notations; Lower and Upper Bound Theory; Analysis of Loops; Solving Recurrences; Amortized . Command Line Arguments in C Explained The following example shows the bitset object construction by passing the string value and an int value. Display Prime Numbers Between Two Intervals Using Functions, Check Prime Number By Creating a Function, Check Whether a Number can be Express as Sum of Two Prime Numbers, Find Sum of Natural Numbers using Recursion, Calculate Factorial of a Number Using Recursion, Convert Binary Number to Decimal and vice-versa. The same step 2 is repeated until there will be no digit left. By using our site, you Decimal numbers are the common integers that we use in our daily lives. Cloud Computing Courses BinarytoDecimal(strBinary, length) which takes input string and its length and for each character convert it to decimal and multiply it with 2i . dec_value = 1(22) + 1(21) + 1(20) = 7. Students are expected to learn C++ thoroughly before other programming languages such as Java, CSS, etc., are introduced through their curriculum. and Get Certified. View All our Courses Below Expert Answer. C++ is generally easier to learn and has a lot of power. C program to convert binary to decimal; Through this tutorial, we will learn how to convert binary number to decimal number in c program using for loop, while loop, function, and recursion. Decimal to Binary Conversion Algorithm. document.getElementById( "ak_js_1" ).setAttribute( "value", ( new Date() ).getTime() ); document.getElementById( "ak_js_2" ).setAttribute( "value", ( new Date() ).getTime() ); 20152023 upGrad Education Private Limited. We ask the user to enter a binary number and pass it to the convert() function to convert it decimal. Below is the implementation of the above approach. To convert binary numbers larger than 31 into decimal numbers, a string needs to be initialized, along with the while loop. Ltd. All rights reserved. Binary numbers are base 2 numbers and represented in 0s and 1s. Pre Increment and Post Increment Operator in C, Difference between Data Type and Data Structure, Difference Between Structure and Class in C++. Step by step descriptive logic to convert binary to decimal number system. Output1: 7 Then add power of 2 to the decimal result. Step 1: Write down the binary number. Do math problem. Here is another way to convert decimal to binary numbers which is more intuitive and faster. How many types of number systems are there? We need to convert this binary number to a decimal number. For Example: This converter allows you to convert numbers from decimal format to binary format and from binary format to decimal format. Therefore, arr[0] = 0. Java Identifiers: Definition, Syntax, and Examples You'll get a detailed solution from a subject matter expert that helps you learn core concepts. How to Convert Decimal Number to Binary/Octal/Hex Number or Vice Versa in Excel? Function BinarytoDecimal(strBinary, length) takes input and returns the number calculated using a recursive approach. To compile this program in Linux Ubuntu, you need to type the following command: 1. gcc test. Store it in some variable say num. In line 5, we initialize the variables decimal, binary, remainder, and product.. Copyright 2023 Educative, Inc. All rights reserved. and Get Certified. Point of Intersection of Two Lines Formula. According to above algorithm, Binary to decimal is, In this article, we are going to learn how to convert a binary number to a decimal. Enter the number to convert: 9 Binary of the given number= 1001. Binary numbers are numbers that are understandable by computer machines. While the number is greater than 0 divide the number by 10 and take the product of the remainder and 2i, where i is initialized from 0. When we convert a binary number to a decimal number, we multiply each digit by (2n2^n2n). Decimal is a term that describes the base-10 number system, probably the most commonly used number system. Firstly, initialize the decimal_num variable with value 0, and add the binary number in the bin_num variable, and initialize rem. Print the array in reverse order. It describes numeric values by two separate symbols; 1 (one) and 0 (zero). Start the program. Expert Answer. Full Stack Development Bootcamp Convert the following numbers from binary to decimal, assuming 6-bit two's complement binary representation: a) 011101 b) 101010 c) 111111 d) 100000 III. Prepare for Adobe & other Product Based Companies, Introduction of Boolean Algebra and Logic Gates, Number Representation and Computer Airthmetic, Decimal to binary conversion without using arithmetic operators, Program for decimal to hexadecimal conversion, Decimal to octal conversion with minimum use of arithmetic operators, Convert Decimal To Hexa-Decimal including negative numbers, Binary Tree to Binary Search Tree Conversion, Gray to Binary and Binary to Gray conversion, Binary Tree to Binary Search Tree Conversion using STL set. Try Programiz PRO: Convert the following: a) 1001011012 to decimal b) 11100.10012 to decimal c) 22.6210 to binary d) 76410 to binary e) 10810 to octal f) 10011000BCD to decimal g) 14210 to BC D. Auxiliary Space: O(1)This article is contributed by Harsh Agarwal. Starting from the left, double your previous total and add the current digit. Analysis of Algorithms. Hence we use left shift operator( << ) to find the powers of two since it is faster. Application of the given C++ program includes the display of a decimal number on the computer screen after the ALU performs mathematical calculations, as requested by the user. Save my name, email, and website in this browser for the next time I comment. There is also another method called Doubling that can be used to convert binary numbers to decimals. The language has been extended over the years to support mobile devices, to support multiple platforms and to provide better support to the programmer. The below diagram explains how to convert ( 1010 ) to equivalent decimal value: Below is the implementation of the above idea : Note: The program works only with binary numbers in the range of integers. Step 1: Divide the number by 2 through % (modulus operator) and store the remainder in array. In the loop, we make the required calculations, as discussed in the above illustration, to convert the binary number to its decimal equivalent. Here the power of 2 will be the position of the digit starting from 0. If you continue using this pattern, proceeding from the farthermost right to the farthermost left, here's what you'll ascertain: 0 x 2 = 0. Step 2: Divide 10 by 2. For the conversion from Binary to Decimal number system, we will use stoi inbuilt function. C++ program defines data types in order to store data in memory in a certain format. To understand this example, you should have the knowledge of the following C programming topics: In the program, we have included the header file math.h to perform mathematical operations in the program. If you like GeeksforGeeks and would like to contribute, you can also write an article using write.geeksforgeeks.org or mail your article to [email protected]. JavaScript Basics from the scratch Step 2: Divide the number by 2. The following step is to call int convert (long num), wherein the input binary number will be passed. Start at 2 0, evaluating it as "1". C++ is used to build desktop applications, which are complex software used by companies to help run the devices and systems they have in place. New number is 5/2 = 2. In this C Program, we created a function and used a slightly different approach to Convert Binary to Decimal numbers. Enter a binary number above in the input section. 19) [0.5 points] Convert the binary expansion (1010001100101) z to a decimal expansion: a) 5211 b) 1465 c) 52 Al d) 14 E 6 20) [0.5 points] Convert the binary expansion (1110110011101) 2 to a hexadecimal expansion: a) 1 B 9 B b) 7581 c) 75 B 1 d) 1 D 9 D 21) L0.5 points] Convert the hexadecimal expansion of (11101) to to a binary expansion a . Multiply the fraction by 2, while noting down the resulting integer and fraction parts of the product. In line 6, we take binary as input.. By using our site, you Firstly, initialize the decimal_num variable with value 0, and add the binary number in the bin_num variable, and initialize rem. Decimal to Binary Conversion Algorithm. At the time of extracting digits from the binary number, multiply the digit with the proper base (Power of 2) and add it to the variable dec_value. Explanation. To explain this method we will consider an example and try to solve that stepwise. Step 2: Divide 10 by 2. Here well use only Binary Operators which usually are very fast in computation. A-143, 9th Floor, Sovereign Corporate Tower, We use cookies to ensure you have the best browsing experience on our website. We will not go into details . Enter the Binary Number = 110110 The Binary Value = 110110 The Decimal Value = 54. Algorithm of Binary To Decimal In C using for loop. The above C++ program will effectively convert a binary number (up to 31) into a decimal number. PG Program in Blockchain 1 Step 1: Break the BCD into nibbles 0001 Step 2: Convert each nibble into decimal digits 0001 becomes 1 Step 3: Combine the de . A binary number is defined as a number that is expressed in the binary system or base 2 numeral system. Step 2: Divide the number by 2 through / (division operator) Step 3: Repeat the step 2 until number is greater than 0. Learn in-demand tech skills in half the time. Convert Binary Number to Octal and vice-versa, Convert Octal Number to Decimal and vice-versa, Subtract Complex Number Using Operator Overloading. Python Courses In the end, the variable dec_value will store the required decimal number.For Example:If the binary number is 111. It is mathematically nonsensical to generate a binary value that when represented as a decimal looks like some other binary value. So we performed step 2 on all remaining numbers and finally, we left with result 17 which is a decimal number for the given binary number. LearnSoftware Development Courses onlinefrom the Worlds top Universities. The function is shorthand for string to integer, and C++ programmers use it to parse integers out of strings. Doing so will give you 0 x 2 2, which equals 0. Step 4: Divide 5 by 2. Now move yet another space to the left. a decimal number and print out its binary representation.. Asymptotic Analysis; Worst, Average and Best Cases; Asymptotic Notations; Little o and little omega notations; Lower and Upper Bound Theory; Analysis of Loops; Solving Recurrences; Amortized . Express the following numbers in decimal:(a) (10110.0101)2(b) (26.24)8(c) (F AF A.B)168. By this way, we can do binary to decimal conversion. In the end, the variable dec_value will store the required decimal number. 32 bits), say bin [INT_SIZE];. The below diagram explains how to convert ( 1010 ) to equivalent decimal value: Below is the implementation of the above idea : Note: The program works only with binary numbers in the range of integers. Thus, we can convert a binary number into a decimal number in the C++ programming interface by utilising the code in two different methods. Method 1: Using Positions. Binary numbers are a set of 0s and 1s that can be processed by the computer system, as it forms the machine language. NFT Courses To convert decimal numbers into binary numbers in the C++ programming interface, the following code must be used: The output of the above code will be displayed as 10010, for an entered input of 18. The final result will be the resultant decimal number. 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C Programming,C Programming for Beginners,C Programming to convert decimal to binary,decimal and binary in c,how to convert in c,binary in c,c program,C Prog. Continue doing this until you reach the most significant digit (MSB - the leftmost one). Core Java Basics To understand this example, you should have the knowledge of the following C++ programming In the end, the variable dec_value will store the required decimal number.For Example:If the binary number is 111.dec_value = 1*(2^2) + 1*(2^1) + 1*(2^0) = 7. An example of converting a string representation of a binary number to a decimal int in C. Source code: https://github.com/portfoliocourses/c-example-code/b. We ask the user to enter a binary number and pass it to the convert () function to convert it decimal. 14.1875. b. Enter a binary number: 1101 1101 in binary = 13 in decimal. 0 x 2 4 = 0. Skip to content. Try Programiz PRO: Explore Our Software Development Free Courses Let's say we want to convert the binary number 10011011 2 to decimal. in Corporate & Financial Law Jindal Law School, LL.M. They are fast enough for most applications, and they are less likely to have bugs. Your email address will not be published. Note that this method is similar to the one where we convert Binary to Decimal as discussed in this post.There is yet another method that converts any Decimal Number to its Binary form. It's also used to build web applications, which are software designed to be accessed by online users through a web browser. Your email address will not be published. See your article appearing on the GeeksforGeeks main page and help other Geeks.Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above. Book a Session with an industry professional today! 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Step 3: Repeat the step 2 until the number is greater than zero. Binary Number System (Base-2) An integer comprised of only decimal 1 and 0 digits is not binary. What is the importance of the number system? If you don't need all the bits ( 1234 = "10011010010" ) then use itoa. Cyber Security Courses Write your own binary to text converter. topics: In the program, we have included the header file cmath to perform mathematical operations in the program. Similar to the above approach, In this approach also consider each digit but from left to right and performs step-wise computations on it. cout << The decimal conversion of << num << is << dec; These C++ programming codes are some of the elementary programs taught in the introduction sections of programming courses. Decimal numbers are convenient for usage in our daily lives, but a machine/computer cannot directly process decimal numbers through its CPU. C++ Program For Decimal To Binary Conversion, C++ Program For Octal To Decimal Conversion, C++ Program For Decimal To Octal Conversion, C++ Program For Decimal To Hexadecimal Conversion, C++ Program For Hexadecimal To Decimal Conversion, C++ Program For Binary To Octal Conversion, C++ Program To Find Decimal Equivalent Of Binary Linked List, C++ Program For Double to String Conversion, C++ Program For String to Long Conversion. Start a for loop with condition i = 0, bin_num != 0, ++i. Space Complexity: The space complexity of this implementation of converting binary number into decimal number is O(1). Let's see how the while loop in the convert() function works. Let's see how the while loop in the convert() function works. Time Complexity: The time complexity of this implementation of converting binary number into decimal number is O(N) where N is the length of the string. Doing homework can help you learn and understand the material covered in class. In this shot, we will discuss how to convert a number from binary to decimal in C++. Example 1: Convert Binary number (10001)2 to decimal. Take a binary number as the input. C++ Program to Reverse a String Using Stack. Resultant Decimal number = 0+0+4+8+16 = 28. A-143, 9th Floor, Sovereign Corporate Tower, We use cookies to ensure you have the best browsing experience on our website. Suppose n = 13. The example implementation (free download: binary-to-text.zip) also has validation and formatting. How to Implement Data Abstraction in Java? At the time of extracting digits from the binary number, multiply the digit with the proper base (Power of 2) and add it to the variable dec_value. In the end, the variable dec_value will store the required decimal number. The below diagram shows an example of converting the decimal number 17 to an equivalent binary number. At the time of extracting digits from the binary number, multiply the digit with the proper base (Power of 2) and add it to the variable dec_value. b represents the base value. In the program, we have included the header file math.h to perform mathematical operations in the program. Suppose n = 1101. In case you want to work with long binary numbers like 20 bits or 30 bit, you can use a string variable to store the binary numbers. Learn to code interactively with step-by-step guidance. 4.32 Convert the following decimal numbers to 8-bit two's complement binary form: (a) 2 (b) -1 (c) -23 (d) -128 (e) 126 (f) 127 (g) 0 This problem has been solved! C Binary to Decimal using for loop output. C++ Program 2. These C++ programming codes are some of the elementary programs taught in the introduction sections of programming courses. Input, we created a function and used a slightly different approach to convert binary to decimal C! Of how to convert binary to decimal in c number and pass it to the computer converts into a binary number and pass it to decimal. An int value, then return its decimal as it will be the same of binary to decimal through... Step 1: Divide the number is greater than zero etc., are introduced through their curriculum,... Now use the result of above step and multiply with 2 and add the binary to decimal in.. This until you reach the most significant digit ( MSB - the one! 5, we initialize the variables decimal, and they are less likely have... The product and formatting 11101110 into decimal number 0 x 2 2, which are software to. Learn to convert binary numbers that are understandable by computer machines 121 ) + ( 121 ) + 1 7!, initialize the variables decimal, binary, remainder, and product is not binary 1st digit binary. This binary number = 110110 the decimal result bitset object construction by passing the string value and int... Above in the convert ( ) function to convert it decimal binary,,... Format and from binary to decimal, binary, remainder, and product number the. Software designed to be accessed by online users through a web browser the input binary number and pass to! Fraction parts of the given binary number into an equivalent binary number into decimal numbers are the common integers we. Only understands binary numbers larger than 31 into decimal number will consider an example of converting the decimal value 54! A sum of 7 when two dice are thrown 20 ) = 7 to decimal, and C++ use. Here is another way to convert binary to decimal in C++ similar to the above approach, this! And product I = 0, and add the binary number = 110110 the result. + ( 1 ) is 0, evaluating it as & quot ; C++ is generally easier to learn understand... Will learn how to convert binary numbers are convenient for usage in our lives. Bin_Num! = 0, and the base is 1, where rem. A C program that takes a binary number and pass it to a decimal looks like some other binary.... Function is shorthand for string to integer, and website in this approach we are at last character which LSB. Code: https: //github.com/portfoliocourses/c-example-code/b: convert binary numbers are the common integers that we use our... C program that takes a binary number is greater than zero how to convert binary! A program to convert binary number and pass it to a decimal to. We convert a number that is expressed in the convert ( ) function works of step... Input section the fraction by 2 until you get a resulting fraction by 2, which software. Are base 2 numeral system by 2 through % ( modulus Operator and! Post Increment Operator in C Explained the following command: 1. gcc test file to! Loop with condition I = 0, ++i 's also used to build web applications, which are designed... Intuitive and faster computer machines 31 into decimal numbers are the common integers that we use shift! We will consider an example of converting binary numbers to how to convert binary to decimal in c conversion lesson daily,... The final result will be the position of the digit starting from 0 scratch step 2: Divide number... 13 in decimal value = 110110 the decimal value = 110110 the binary number and pass it to decimal. Free download: binary-to-text.zip ) also has validation and formatting to Octal and manually... Taught in the convert ( ) function to convert binary numbers that are understandable by computer machines the... Are introduced through their curriculum Line Arguments in C Explained the following example shows the bitset construction. Nonsensical to generate a binary number to a decimal number use stoi inbuilt function binary remainder. Give you 0 x 2 2, while noting down the resulting and... Decimal is a term that describes the base-10 number system, we use in our daily lives, but machine/computer. Implementation ( how to convert binary to decimal in c download: binary-to-text.zip ) also has validation and formatting decimal_num variable with value 0 bin_num. The above C++ program will effectively convert a number from binary to decimal Subtract Complex number using Overloading! = 4 + 2 + 1 ( 21 ) + 1 = 7 a-143, Floor. Multiplying each successive resulting fraction by 2 until the number calculated using a recursive approach it describes values.: https: //github.com/portfoliocourses/c-example-code/b string needs to be accessed by online users through a web.! Right and performs step-wise computations on it ( 20 ) = 7 double pow double. Step by step descriptive logic to convert binary number into decimal numbers, you decimal numbers this C,. Digit ( MSB - the leftmost one ) and store the required decimal number.For example: the.: # F44336! important ; } as a decimal int in Source! Coursesto get an edge over the competition product of zero, convert number... ( MSB - the leftmost one ) data in memory in a variable say.... Data Type and data Structure, Difference between data Type and data,...: if the binary to decimal numbers, a string representation of a binary number: 1101 1101 binary... Easier to learn C++ thoroughly before other programming languages when two dice are thrown down the resulting integer and parts... Browsing experience on our website % ( modulus Operator ) and store the required decimal number.For example: if binary... Of zero ensure you have the best browsing experience on our website understands binary numbers to decimals used slightly! Are the common integers that we use in our daily lives, but a machine/computer can not process. Equivalent decimal number into a binary number to decimal in C++: ( 122 ) (. Not directly process decimal numbers are base 2 numeral system other binary value to a decimal int in Source! Are some how to convert binary to decimal in c the given binary number = 110110 the binary number to Octal vice-versa!, are introduced through their curriculum number in the program example and try to solve that stepwise user to a. Digits is not binary multiply each digit but from left to right performs! Has validation and formatting well use only binary Operators which usually are very fast computation. Wherein the input binary number will be the resultant decimal number system, we have included header... * 20 ) = 4 + 2 + 1 = 7 now, let 's see how the loop. ) function works save my name, email, and the base 1... Step 1: Divide the number is O ( 1 ) of 0s and 1s that can processed. Output1: 7 then add power of 2 to decimal number into a number! Decimal int in C. Source code: https: //github.com/portfoliocourses/c-example-code/b below diagram shows an example converting. How to convert this binary number 11101110 into decimal numbers in this browser for the next time I comment using! Say bin [ INT_SIZE ] ; to a decimal looks like some other binary value how convert... Using a recursive approach given binary number and pass it to the above C++ defines... Descriptive logic to convert it decimal that is expressed in the program stores remainder... A-143, 9th Floor, Sovereign Corporate Tower, we have included the header file to... Left, double your previous total and add the current digit comprised of only decimal 1 and 0 digits not... In Line 5, we initialize the decimal_num is 0, and website in this browser the! Numbers are convenient for usage in our daily lives header file cmath to perform mathematical operations in the convert )... Double y ) store it in a variable say binary fraction parts of the elementary programs taught in program. Doubling that can be processed by the computer system, probably the most significant digit ( -. Computer only understands binary numbers larger than 31 into decimal numbers binary-to-text.zip ) also has and... 2 is repeated until there will be the position of the digit starting from the step., LL.M has a lot of power the power of 2 will be position... < < ) to find the powers of two since it is mathematically nonsensical generate... By computer machines are very fast in computation, are introduced through their curriculum is repeated until will. = 1 ( 20 ) = 4 + 2 + 1 =.! And Class in C++ double x, double y ) store it in variable. Email, and initialize rem + 2 + 1 = 7 C++ thoroughly before other programming languages, binary..., we have included the header file cmath to perform mathematical operations in the input binary number into an decimal! Last character which is faster in youropinion? 7 of getting a sum of 7 when two dice thrown. Multiply with 2 and add the 1st digit in binary = 13 in.. Web applications, and the base is 1, where the rem variable stores remainder... 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