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C Programming & Data Structures: C Program For Binary to Decimal Conversion.Topics discussed:1) Binary to decimal conversion.2) C program to convert binary n. C Program to Convert Binary to Decimal Number - In this tutorial, we will learn about how to create a program in C that converts any given binary number (by user at run-time) to its equivalent decimal value. At last we have also created the same purpose program that is to convert binary to decimal number using user-defined function named BinToDec. Write a C program to input the decimal number and convert it to a binary number without using arithmetic operators. How to convert decimal to binary number in C programming without using arithmetic operators. Logic to convert decimal to binary number in C.

In this tutorial we are going to learn about converting a binary number into a decimal number with:

• Method 1: Multiply bits with powers of two
• Method 2: Using Doubling
• Scilab programming: using `for` loop
• Scilab programming: using the build-in function `bin2dec`
• C programming: using `for` loop

Numbers Representation Systems – Decimal, Binary, Octal and Hexadecimal

A binary number is a series of ones (1) and zeros (1). The ones (1) and zeros (0) are called bits. Let’s take as example the binary number `111001`. The extreme right bit is bit number 0, the extreme left bit is bit number 5.

#### Method 1: Multiply bits with powers of two

Before converting to decimal let’s write down the powers of two. We will use only 8 bits for this example:

[2^7][2^6][2^5][2^4][2^3][2^2][2^1][2^0]1286432168421

Under each power of two result we’ll write the corresponding bit value: 128643216 842100111001

Now we’ll multiply each bit value with the corresponding power of two and add the products together:

[0 cdot 128 + 0 cdot 64 + 1 cdot 32 + 1 cdot 16 + 1 cdot 8 + 0 cdot 4 + 0 cdot 2 + 1 cdot 1]

The result of the sum is the decimal number:

[32 + 16 + 8 + 1 = 57]

The binary number converted to decimal is:

[111001_{2} = 57_{10}]

#### Method 2: Using Doubling

This method doesn’t use the power of two. For this reason it should be simpler to convert lager binary numbers into decimal.

As an example we’ll use the same binary number as in first method: `111001`

This method uses a concept named previous total. For the first step the previous total is `0`.

We start by taking the previous total, multiply it by 2 and add the extreme left bit (bit number 5).

[0 cdot 2 + 1 = 1]

## How To Convert Decimal To Binary

The result of the above operations is the previous total for the next step. In our case the previous total becomes `1`.

Next, take the previous total, multiply it by 2 and add the following bit (bit number 4). We get:

[1 cdot 2 + 1 = 3]

We do the same operations until we run out of bits:

[ begin{equation*} begin{split}
3 cdot 2 + 1 = 7

## C Code Convert Binary To Decimal

7 cdot 2 + 0 = 14
14 cdot 2 + 0 = 28
28 cdot 2 + 1 = 57
end{split} end{equation*} ]

After we run out of bits, the latest previous total is our converted decimal number: `57`.

As expected, the binary number converted to decimal is:

[111001_{2} = 57_{10}]

#### Scilab: using `for` loop

Scilab implementation of Method 1: Multiply bits with powers of two

Scilab implementation of Method 2: Using Doubling

#### Scilab programming: using the build-in function `bin2dec`

In order to verify if the above conversion algorithm are properly designed, we can use the build-in Scilab function `bin2dec` to convert from binary to decimal numbers:

#### C programming: using `for` loops

C implementation of Method 1: Multiply bits with powers of two

C implementation of Method 2: Using Doubling

As reference save the image below which contains a summary of both methods for binary to decimal conversion.

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Image: Binary to Decimal Conversion Poster

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## C Program To Convert Decimal To Binary Number

Learn How To Convert Decimal To Binary in C Programming Language. It is important that we should know How A For Loop Works before getting further with the C Program Code.

A Decimal Number consists of values from 0 to 9 and a Binary Number consists of only 0 and 1. To change a Decimal Integer into Binary value, a Modulus Operator in C has to be used.

#### Example

Binary Equivalent of 10 is 1010.

Note: This Code For Decimal To Binary Conversion in C Programming Language is developed in Linux Ubuntu Operating System and compiled with GCC Compiler.

To compile this program in Linux Ubuntu, you need to type the following command:

#### Method 1: C Program For Decimal To Binary Conversion using If – Else

 2468101214161820222426 #includevoidconversion(intnum,intbase)intremainder=num%base;{}if(remainder<10)printf('%d',remainder);}intmain()intnum,choice;scanf('%d',&num);conversion(num,2);return0;

#### Method 2: C Program To Convert Decimal To Binary Value without Array

 2468101214161820 {longintbin_num=0;scanf('%d',&dec_num);while(dec_num>0)rem=dec_num%2;bin_num=bin_num+(a *rem);}printf('nBinary Equivalent of Decimal Integer %d: %ld',temp,bin_num);return0;

#### Method 3: Convert Decimal Number To Binary in C using Functions

 2468101214161820222426 {longintbin_num=0;{dec_num=dec_num/2;a=a *10;returnbin_num;lang:defaultdecode:true{printf('nEnter A Decimal Integer:t');temp=dec_num;printf('nBinary Equivalent of Decimal Integer %d: %d',temp,decimal_to_binary(dec_num));return0;

## Convert Decimal To Binary Algorithm

If you have any compilation errors or doubts in this C Program To Convert Decimal to Binary Number, let us know about in the Comment Section below. Find more about Decimal Number System on Britannica.

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