Decimal to Binary converter
Convert decimal numbers into binary format effortlessly with our efficient Decimal to Binary Converter. This tool allows you to easily convert any decimal value into its equivalent binary representation. Simply input the decimal number and let our converter do the rest. It will instantly generate the binary representation, showcasing the 0s and 1s that make up the binary code.
What is Decimal to Binary converter
A Decimal to Binary converter is a tool or program that helps convert decimal numbers into their equivalent binary representation. Decimal numbers are numbers expressed in the base10 numeral system, while binary numbers are numbers expressed in the base2 numeral system, using only 0s and 1s.
To use a Decimal to Binary converter, you input a decimal number, and it provides you with the binary representation of that number.
Here's an example:
Let's say you have the decimal number 10. To convert it to binary, you would perform the following steps:

Divide the decimal number by 2. 10 รท 2 = 5, Remainder = 0

Divide the quotient from step one (5) by 2 again. 5 รท 2 = 2, Remainder = 1

Divide the new quotient (2) by 2 once more. 2 รท 2 = 1, Remainder = 0

Divide the final quotient (1) by 2. 1 รท 2 = 0, Remainder = 1
Now, write down the remainders from the last step to the first step: 1010
So, the decimal number 10 is equivalent to 1010 in binary representation.
There are various online tools, calculators, or programming functions available that offer Decimal to Binary conversion capabilities, making it convenient to perform these conversions quickly and accurately.
How to convert decimal to binary
Conversion steps:
 Divide the number by 2.
 Get the integer quotient for the next iteration.
 Get the remainder for the binary digit.
 Repeat the steps until the quotient is equal to 0.
Example #1
Convert 13_{10} to binary:
Division by 2 
Quotient  Remainder  Bit # 

13/2  6  1  0 
6/2  3  0  1 
3/2  1  1  2 
1/2  0  1  3 
So 13_{10} = 1101_{2}
Example #2
Convert 174_{10} to binary:
Division by 2 
Quotient  Remainder  Bit # 

174/2  87  0  0 
87/2  43  1  1 
43/2  21  1  2 
21/2  10  1  3 
10/2  5  0  4 
5/2  2  1  5 
2/2  1  0  6 
1/2  0  1  7 
So 174_{10} = 10101110_{2}
Decimal to binary conversion table
Decimal Number 
Binary Number 
Hex Number 

0  0  0 
1  1  1 
2  10  2 
3  11  3 
4  100  4 
5  101  5 
6  110  6 
7  111  7 
8  1000  8 
9  1001  9 
10  1010  A 
11  1011  B 
12  1100  C 
13  1101  D 
14  1110  E 
15  1111  F 
16  10000  10 
17  10001  11 
18  10010  12 
19  10011  13 
20  10100  14 
21  10101  15 
22  10110  16 
23  10111  17 
24  11000  18 
25  11001  19 
26  11010  1A 
27  11011  1B 
28  11100  1C 
29  11101  1D 
30  11110  1E 
31  11111  1F 
32  100000  20 
64  1000000  40 
128  10000000  80 
256  100000000  100 