{"id":9669,"date":"2022-09-13T10:48:57","date_gmt":"2022-09-13T10:48:57","guid":{"rendered":"https:\/\/www.prepbytes.com\/blog\/?p=9669"},"modified":"2023-04-26T12:52:41","modified_gmt":"2023-04-26T12:52:41","slug":"top-3-ways-to-convert-binary-to-decimal-in-c","status":"publish","type":"post","link":"https:\/\/prepbytes.com\/blog\/top-3-ways-to-convert-binary-to-decimal-in-c\/","title":{"rendered":"Top 3 Ways To Convert Binary To Decimal In C"},"content":{"rendered":"

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In computer programming, binary and decimal are two common number systems. The binary is a base-2 system, whereas the decimal is a base-10 system. Binary numbers are represented using only two digits, 0 and 1, whereas decimal numbers are represented using ten digits, 0 through 9. In this article, we will discuss how to convert binary to decimal in C programming language.<\/p>\n

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

A binary number is a numerical system that uses only two digits: 0 and 1. Each digit in a binary number represents a power of 2, starting from the rightmost digit representing 2^0, then the next digit representing 2^1, and so on.<\/p>\n

For example, the binary number "101" represents the decimal value of 5 because (1 2^2) + (0 <\/em> 2^1) + (1 2^0) = 4 + 0 + 1 = 5. In the same way, "11010" represents the decimal value of 26 because (1 <\/em> 2^4) + (1 2^3) + (0 <\/em> 2^2) + (1 2^1) + (0 <\/em> 2^0) = 16 + 8 + 0 + 2 + 0 = 26.<\/p>\n

Binary numbers are widely used in computer science and digital electronics, as they can represent the two states of an electronic circuit – on and off. They are also used in various applications, such as data storage, communication, cryptography, and arithmetic operations.<\/p>\n

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

A decimal number is a number system that uses ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Each digit in a decimal number represents a power of 10, starting from the rightmost digit representing 10^0, the next digit representing 10^1, and so on.<\/p>\n

For example, the decimal number "123" represents the value of 1 10^2 + 2 <\/em> 10^1 + 3 10^0 = 100 + 20 + 3 = 123. Similarly, "4567" represents the value of 4 <\/em> 10^3 + 5 10^2 + 6 <\/em> 10^1 + 7 * 10^0 = 4000 + 500 + 60 + 7 = 4567.<\/p>\n

Decimal numbers are widely used in everyday life, such as money, time, weights, and measures. In computer programming, decimal numbers are commonly used to represent floating-point numbers and monetary values.<\/p>\n

Ways to Convert Binary To Decimal in C<\/h2>\n

Now, we will discuss some ways to convert binary to decimal in C programming language.<\/p>\n

1. Convert Binary to Decimal in C Using Recursion<\/h3>\n

Recursion is a programming technique where a function calls itself repeatedly until a base case is reached. In this approach, we are using the recursive function BinarytoDecimal(strBinary, length) which takes the input string and its length and for each character converts it to decimal and multiplies it with 2, and add previous results to it.<\/p>\n

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  1. Take the input string strBinary[] containing a binary number.<\/li>\n
  2. Calculate its length using strlen(strBinary).<\/li>\n
  3. Function BinarytoDecimal(strBinary, length) takes input and returns the number calculated using a recursive approach.<\/li>\n
  4. If we are at the last character which is LSB, then return its decimal as it will be the same. (multiplied by 1 i.e 20 )<\/li>\n
  5. Otherwise set temp=binary[i] \u2013 \u20180\u2019. It’s a decimal value.<\/li>\n
  6. Now multiply temp with 2len-i-1 using temp << len \u2013 i \u2013 1.<\/li>\n
  7. Add the result of other digits to temp using temp = temp + BinarytoDecimal(binary, len, i + 1).<\/li>\n
  8. At the end of recursion return temp.<\/li>\n
  9. Print the calculated decimal in the main.<\/li>\n<\/ol>\n

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

    The below diagram explains how to convert ( 1010 ) to an equivalent decimal value:<\/p>\n

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    Here’s the code to convert binary to decimal in C using recursion<\/strong><\/p>\n\t\t\t\t\t\t