{"id":551,"date":"2024-10-19T13:22:04","date_gmt":"2024-10-19T07:52:04","guid":{"rendered":"https:\/\/codexplained.in\/?p=551"},"modified":"2025-11-24T15:39:40","modified_gmt":"2025-11-24T10:09:40","slug":"converting-binary-to-decimal","status":"publish","type":"post","link":"https:\/\/codexplained.in\/?p=551","title":{"rendered":"Converting Binary to Decimal"},"content":{"rendered":"
\n#include <stdio.h>\n#include <string.h>\n#include <math.h>\n\n\/\/ Function to convert binary to decimal\nint binaryToDecimal(const char *binary) {\n    int decimal = 0;  \/\/ Variable to store the decimal result\n    int length = strlen(binary);  \/\/ Get the length of the binary string\n\n    \/\/ Loop through each character in the binary string\n    for (int i = 0; i < length; i++) {\n        \/\/ Get the bit value (0 or 1) by converting character to integer\n        int bit = binary[length - 1 - i] - '0';\n        \n        \/\/ Add the decimal value of the current bit\n        decimal += bit * pow(2, i);\n    }\n\n    return decimal;  \/\/ Return the computed decimal value\n}\n\nint main() {\n    char binary[65];  \/\/ Array to hold binary input (up to 64 bits + null terminator)\n\n    printf("Enter a binary number: ");\n    scanf("%64s", binary);  \/\/ Read the binary input (up to 64 characters)\n\n    int decimal = binaryToDecimal(binary);  \/\/ Call the conversion function\n    printf("Decimal equivalent: %d\\n", decimal);  \/\/ Print the result\n\n    return 0;  \/\/ Indicate successful completion\n}\n\n<\/pre><\/div>\n\n\n
Explanation:<\/h3>\n\n\n\n
    \n
  1. Binary Representation<\/strong>:\n
      \n
    • In binary, each digit represents a power of 2. For example, in the binary number 1011<\/code>:\n
        \n
      • 1\u00d723+0\u00d722+1\u00d721+1\u00d720=8+0+2+1=111 \\times 2^3 + 0 \\times 2^2 + 1 \\times 2^1 + 1 \\times 2^0 = 8 + 0 + 2 + 1 = 111\u00d723+0\u00d722+1\u00d721+1\u00d720=8+0+2+1=11.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
      • This means that each bit contributes a specific value based on its position.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
      • Decimal Representation<\/strong>:\n
          \n
        • The decimal system uses ten digits (0-9), and each digit’s position represents a power of 10.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n
          Program Structure<\/h3>\n\n\n\n
            \n
          1. Includes and Libraries<\/strong>:\n
              \n
            • The program begins by including necessary libraries:\n
                \n
              • stdio.h<\/code> for standard input and output.<\/li>\n\n\n\n
              • string.h<\/code> for string manipulation functions.<\/li>\n\n\n\n
              • math.h<\/code> for mathematical functions like powers.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n\n\n\n
              • Function Definition<\/strong>:\n
                  \n
                • A function called binaryToDecimal<\/code> is defined to perform the conversion. It takes a string input representing a binary number and processes it to compute the decimal value.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
                • Input Handling<\/strong>:\n
                    \n
                  • The main<\/code> function prompts the user to enter a binary number, reads the input, and stores it in a character array.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
                  • Conversion Logic<\/strong>:\n
                      \n
                    • The function calculates the decimal value by iterating through each character of the binary string:\n
                        \n
                      • It accesses each bit from right to left, converts it from a character to an integer, and computes its contribution to the decimal total based on its position.<\/li>\n\n\n\n
                      • This is done using the formula bit\u00d72positionbit \\times 2^{position}bit\u00d72position.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n\n\n\n
                      • Output<\/strong>:\n
                          \n
                        • Once the conversion is complete, the program prints the decimal equivalent of the entered binary number.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n
                          Output<\/h2>\n\n\n
                          \nEnter a binary number: 1011\nDecimal equivalent: 11\n\n<\/pre><\/div>\n\n\n
                          <\/p>\n