How to Make a C Program That Convert Binary Into Decimal Number Easyimgrckoavi1krxdusm

In this example, you will learn to convert binary to decimal numbers. Here we write a C program that takes a binary number as input and converts it into an equivalent decimal number. Converting a binary number to decimal means converting the number with base value 2 to base value 10.

The base value of a number system determines the number of digits used to represent a numeric value. For example, a binary number system uses 2 digits 0-1 to represent any numeric value.

Given a binary number n, you need to convert to a decimal number.

Example,

Input: 101 Output: 5   Input: 1001 Output: 9

To understand this code, you must have knowledge of the following C programming topics:

• Understanding of function in C.
• C Operators.

Binary to Decimal Conversion Formula:

The following formula is used to convert binary numbers to decimal numbers.

(Decimal Num)₁₀ = ( d ₀ × 2⁰ )+ ( d ₁ × 2¹ )+ ( d ₂ × 2² )+ ….. + ( d _{n − 1} × 2^n-1)

where "d" is a binary number containing "n" digits and d ₀ , d ₁ , d ₂ , …, d_n-1 are the individual digits of the binary number starting from the right-most position.

Example,

Let us convert (1001)₂, from binary to decimal using the formula. We start doing the conversion from the rightmost digit, which is '1' here.

(Decimal Number)10 = (d₀ × 2⁰ )+ (d₁ × 2¹ )+ (d₂ × 2² )+ ….. (d_n−1 × 2^n-1)

= (1 × 2⁰) + (0 × 2¹) + (0 × 2²) + (1 × 2³)

= (1 × 1) + (0 × 2) + (0 × 4) + (1 × 8)

= 1 + 0 + 0 + 8

= 9

Chart For Binary to Decimal Conversion

The binary to the decimal conversion of the first 20 decimal numbers is displayed in the chart given below.

Binary	Decimal
0	0
1	1
10	2
11	3
100	4
101	5
110	6
111	7
1000	8
1001	9
1010	10
1011	11
1100	12
1101	13
1110	14
1111	15
10000	16
10001	17
10010	18
10011	19
10100	20

C Program to Convert Binary Number to Decimal:

Method 1: Using math.h library function

#include <stdio.h> #include <math.h>   // function definition int convertBinaryToDecimal(long long n) {     int dec = 0, i = 0, rem;      while (n!=0)     {         rem = n % 10;         n /= 10;         dec += rem * pow(2, i);         ++i;     }      return dec; }    int main() {     long long n = 1001;      const int dec = convertBinaryToDecimal(n);      printf("%lld in binary = %d in decimal\n", n, dec);      return 0; }        

Output:

Method 2:

#include <stdio.h>   // function definition int convertBinaryToDecimal(long long n) {     int num = n;     int dec_value = 0;      // Initializing baseValue value to 1, i.e 2^0     int baseValue = 1;      int temp = num;     while (temp)     {         int last_digit = temp % 10;         temp = temp / 10;          dec_value += last_digit * baseValue;          baseValue = baseValue * 2;     }      return dec_value; }    int main() {     long long n = 10011;      const int dec = convertBinaryToDecimal(n);      printf("%lld in binary = %d in decimal\n", n, dec);      return 0; }        

Output:

10011 in binary = 19 in decimal

Note: Above mentioned C program works only with binary numbers in the range of integers.

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