{"id":10602,"date":"2022-11-19T07:30:21","date_gmt":"2022-11-19T07:30:21","guid":{"rendered":"https:\/\/www.prepbytes.com\/blog\/?p=10602"},"modified":"2023-11-01T11:12:53","modified_gmt":"2023-11-01T11:12:53","slug":"c-program-to-convert-binary-number-to-decimal-number","status":"publish","type":"post","link":"https:\/\/prepbytes.com\/blog\/c-program-to-convert-binary-number-to-decimal-number\/","title":{"rendered":"C Program to Convert Binary Number to Decimal Number"},"content":{"rendered":"

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Within the realm of programming, the process of transforming binary numbers into decimal numbers serves as a vital operation, enabling data to be presented in a human-readable format. Binary numbers, constituting the base-2 numerical system, are typically denoted using only two symbols: 0 (zero) and 1 (one). On the other hand, decimal numbers adhere to the base-10 numerical system, utilizing digits spanning from 0 to 9 to represent numerical values.<\/p>\n

What is Conversion from Binary To Decimal In C?<\/h2>\n

Conversion from binary to decimal in C means the user needs to convert a number that is in binary form to its value which will be in decimal form.
\nTake a break, lets discuss what are binary and decimal numbers then we will see the approaches to convert binary to decimal in c.<\/p>\n

What is a Binary Number?<\/h2>\n

A binary number is characterized as a numerical representation within the binary system, also known as the base-2 numeral system. It conveys numeric values using a pair of distinct symbols: 1 (representing one) and 0 (representing zero).<\/p>\n

Examples of Binary Numbers:<\/strong> 0101010, 111, 0010, etc.<\/p>\n

What is a Decimal Number?<\/h2>\n

Decimal is a term that describes the base-10 number system, the most commonly used number system. The decimal number system consists of ten single-digit numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. The number after 9 is 10. The number after 19 is 20 and so forth.<\/p>\n

Examples of Decimal Numbers:<\/strong> 1415, 1616, 472, etc.<\/p>\n

Examples demonstrating Binary to Decimal in C<\/h2>\n

The following examples demonstrates the conversion of binary to decimal.<\/p>\n

Example 1:<\/strong><\/p>\n

Input:<\/strong> 111
\nOutput:<\/strong> 7
\nExplanation:<\/strong> (122) + (121)+(1*20) = 4 + 2 + 1 = 7<\/p>\n

Example 2:<\/strong><\/p>\n

Input:<\/strong> 1010
\nOutput:<\/strong> 10<\/p>\n

Example 3:<\/strong><\/p>\n

Input:<\/strong> 110
\nOutput:<\/strong> 6<\/p>\n

Approach 1: Conversion of Binary To Decimal In C using For Loop<\/h3>\n

In this approach, we are using the for a loop to convert binary to decimal in C language.<\/p>\n

For Example:<\/strong>
\nIf the binary number is 111.
\ndec_value = 1(2^2) + 1(2^1) + 1*(2^0) = 7<\/p>\n

Algorithm of Binary To Decimal In C using for loop<\/strong><\/p>\n

    \n
  1. Firstly, initialize the decimal_num variable with the value 0, add the binary number in the bin_num variable, and initialize rem.<\/li>\n
  2. Start a for loop with condition i = 0, bin_num != 0, ++i.<\/li>\n
  3. In the loop block,\n
      \n
    • Update the rem value to bin_num % 10.<\/li>\n
    • Change the value of bin_num with bin_num \/ 10.<\/li>\n
    • Atlast change the value of decimal_num with decimal_num + (rem) * (pow(2, i)).<\/li>\n<\/ul>\n<\/li>\n
    • At the end of the for loop, print the decimal_num variable, which has the value of the decimal number of the given binary number.<\/li>\n<\/ol>\n

      Code Implementation of For Loop approach for converting of Binary To Decimal In C<\/strong><\/p>\n\t\t\t\t\t\t