Online Binary Converter
Easily convert binary numbers to decimal, and decimal numbers to binary. Fast, accurate, and incredibly simple!
INPUT NUMBER (BINARY)
RESULT
Select a conversion type and enter your number to see the result.
Free Online Binary Converter Tool
Computers and other devices only understand 0s and 1s. This number system is called “binary”. Our Online Binary Converter tool instantly converts between binary (computer language) and decimal (everyday numbers) for the curious, students, and the merely helpful!
Binary to Decimal Converter and Decimal to Binary Converter (Number Converter Tool)
Decimal (Base 10): This is how most people count. Digits 0,1,2,3,4,5,6,7,8,9 are used. After nine comes 10 (with a 1 in the tens-place and 0 in the ones-place), then 11, then 12, and so on.
Binary (Base 2): Computers count this way. Only the digits 0 and 1 are used.
0 (binary) = 0 (decimal)
1 (binary) = 1 (decimal)
10 (binary) = 2 (decimal). This is made up of 1 groups of two, and 0 ones
11 (binary) = 3 (decimal). 1 groups of two, and 1 one.
100 (binary) = 4 (decimal). 1 groups of four, 0 twos, and 0 ones.
Converting Binary to Decimal
Decimal to Binary
Try our Binary Converter Tool to learn more!
Why Use a Binary to Decimal Converter (or Decimal to Binary Converter)?
Computers work with binary because a computer’s electronic circuit is either “on” (1) or “off” (0). Humans use decimal numbers because they are much easier to work with. When a user types in a number into the computer, it is translated into binary. When the computer needs to display a number to the user, it is translated back to decimal. This converter tool serves as an interpreter between the two:
Binary to Decimal: If you have a binary code (maybe from a computer science or engineering course or from a coding lesson) and want to know what it is equivalent to in “regular numbers” (base 10), then the binary to decimal converter does this translation for you.
Decimal to Binary: If you have a “normal” number, then you can see how that number would be represented in a computer by converting it to binary. If you are learning about computer memory, networking, digital logic, or other such topics, this conversion will help.
Our online binary to decimal converter, a base 2 to base 10 and a base 10 to base 2 converter, is at your service to translate between these representations in just a click!
How to Use Our Online Binary Converter (It’s Really Easy!)
Steps for conversion of numbers from decimal to binary and from binary to decimal:
Step 1. Select Conversion Type: At the top of the tool, select “Binary to Decimal” (if you have a binary number and want the corresponding decimal number) or “Decimal to Binary” (if you have a regular number and want to know how a computer would represent it internally) Button. The button you select will turn green.
Step 2. Enter the Number: In the “INPUT NUMBER” field, enter or paste the number you want to convert. The label above will change to indicate what type of number you should enter (e.g., “Enter your binary number:” or “Enter your decimal number:”).
Step 3. Click “Convert”. Click on the large green “Convert” button.
Step 4. View Result. The “RESULT” area will immediately display your result. The result will be labeled, such as “10110 (binary) = 22 (decimal)” so you will know exactly what the number represents.
Step 5. Copy or Download your Result. You can easily “Copy Result” to your clipboard, “Download Result” as a text file, or “Open in New Tab/Window” for easier viewing.
Example: Convert Binary Numbers
Example: Convert from Binary to Decimal
For our first example, we will convert a binary number to decimal. Suppose we have the binary number 1101 and want to know what this is in “regular” decimal numbers.
Binary to Decimal
Select the “Binary to Decimal” button.
Enter 1101 in the input box.
Click “Convert”.
The result of this conversion will be: 1101 (binary) = 13 (decimal).
Example: Convert Decimal Numbers
Example: Convert from Decimal to Binary
For our next example, we will convert a decimal number to binary. Suppose we have the decimal number 42 and want to know how this is represented as a binary number in the computer.
Decimal to Binary
Select the “Decimal to Binary” button.
Enter 42 in the input box.
Click “Convert”.
The result of this conversion will be: 42 (decimal) = 101010 (binary).
You can see how fast and accurately our Binary Number Converter can perform such number system converter operations. For related advanced number conversions, visit our Text Fixer Online for Texts in any Base, Generate Number of List tool to sort lists of numbers, or explore all of our useful HTML tools!
Why use our Binary Converter?
Our tool is designed to be fast, accurate, and super easy to use. There is no software to download, and no account to create or login. It works perfectly in your web browser (computer, tablet, smartphone). Your privacy is important to us. The tool does not store any numbers or data you enter. Calculations are performed by your browser in real time.