How To Convert A Binary Number To a Decimal: Complete Guide

Converting binary numbers to decimal numbers is a fundamental operation in computer programming. Binary is a base-2 number system, meaning it only uses two symbols: 0 and 1. Decimal, on the other hand, is a base-10 number system, meaning it uses ten symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. This article will provide a complete guide on how to convert a binary number to a decimal number using a program in the C programming language. You can take c binary to decimal Assignment Help

To begin with, let us first understand how binary numbers are represented. Each digit in a binary number represents a power of 2. The rightmost digit represents 2⁰ (which equals 1), the next digit to the left represents 2¹ (which equals 2), the next represents 2² (which equals 4), and so on. The leftmost digit represents the highest power of 2. For example, the binary number 1010 represents 1x2³ + 0x2² + 1x2¹ + 0x2⁰, which equals 8 + 0 + 2 + 0 = 10.

To convert a binary number to a decimal number, we need to multiply each digit of the binary number by its corresponding power of 2, and then add up the results. Let us take the example of the binary number 1101. To convert this to a decimal number, we need to multiply the rightmost digit (1) by 2⁰ (which equals 1), the next digit to the left (0) by 2¹ (which equals 2), the next digit (1) by 2² (which equals 4), and the leftmost digit (1) by 2³ (which equals 8). We then add up the results, which gives us 1x1 + 0x2 + 1x4 + 1x8, which equals 13. Therefore, the decimal equivalent of the binary number 1101 is 13.

Now that we understand the logic behind converting a binary number to a decimal number, let us look at how we can implement this in a binary to decimal in c program Assignment Help . We can start by asking the user to enter a binary number using the scanf function. The binary number can be stored in an integer variable. We can then use a loop to extract each digit of the binary number and calculate its decimal equivalent.

Here is the complete C program for converting a binary number to a decimal number:

Let us go through the above code line by line. First, we declare three integer variables: binary_num to store the binary number entered by the user, decimal_num to store the decimal equivalent of the binary number, and base to store the power of 2 corresponding to each digit of the binary number. We initialize decimal_num to 0 and base to 1.

Next, we ask the user to enter a binary number using the printf and scanf functions. The binary number is stored in the binary_num variable.