Decimal
0
Binary to Decimal Converter
Convert binary numbers to decimal instantly with this free Binary to Decimal Converter. Simple, fast, and useful for students, developers, and coding.
Math Converter
Binary to Decimal
Enter a binary number (0s and 1s) below to instantly convert to decimal (Base 10).
Decimal (Base 10)
0
Live Metrics
Hexadecimal
0
Octal
0
100% Secure & Private
Processed locally in your browser. No data is sent to our servers.
How to use
Use this binary converter in three simple steps
Our workflow is designed to be straightforward, allowing you to complete your task in seconds.
01
Type or paste your binary number
Enter any string of 0s and 1s into the input box, from a single byte to a long binary sequence.
02
See the decimal instantly
The converter reads your binary and shows the decimal value right away, along with octal and hex.
03
Copy the converted value
Grab the decimal result with one click and drop it straight into your code, homework, or notes.
Bit Translation
Converts massive 1s and 0s strings back to readable math.
Hex Integration
Shows hexadecimal outputs alongside the decimal baseline.
Length Warnings
Alerts you if your binary sequence exceeds JS integer safety.
Network Addressing
Essential for manual subnet masking and IP configuration.
Use cases
Useful for different workflows
Computer Science
Convert binary registers back to decimal numbers.
Subnet Calculators
Deconstruct IP mask byte properties in routing setups.
Low-level Audits
Translate chip status signals to readable decimals.
Tool guide
What is this Converter?
The Binary to Decimal Converter is an essential computational tool designed to translate Base-2 numbers (binary code) into Base-10 numbers (decimal code). It allows you to decipher raw machine code into human-readable integers.
How to convert binary to decimal
Binary is a base-2 system, so each digit represents a power of 2 that doubles as you move left. To convert a binary number to decimal by hand, follow these steps:
- Write the binary digits out, right to left.
- Label each position with its power of 2, starting at 2⁰ (1) on the far right, then 2¹ (2), 2² (4), 2³ (8), and so on.
- Multiply every digit by its position value.
- Add all the results together to get the decimal number.
Example: the binary number 1010breaks down as (1×8) + (0×4) + (1×2) + (0×1) = 8 + 0 + 2 + 0 = 10. Only the positions with a 1 add to the total, which makes the math quick once the place values are set.
Binary place value table
This table shows the decimal value of each binary position. Use it to line up any binary number and add the values under every digit that is a 1.
| Position | Power of 2 | Decimal value |
|---|---|---|
| 1st (rightmost) | 2⁰ | 1 |
| 2nd | 2¹ | 2 |
| 3rd | 2² | 4 |
| 4th | 2³ | 8 |
| 5th | 2⁴ | 16 |
| 8th | 2⁷ | 128 |
Why use this tool?
If you are studying computer science, debugging low-level software, or just interested in how computers store numbers, this tool gives you instant conversions. It also provides Octal and Hexadecimal translations alongside the main decimal output.
FAQ
Frequently asked questions
What is binary code?
Binary is a base-2 number system that uses only two digits: 0 and 1. It is the fundamental language used by all modern computers.
How do you convert binary to decimal manually?
To convert binary to decimal manually, you multiply each binary digit by 2 raised to the power of its position (starting from 0 on the right) and sum the results.
Is this tool free to use?
Yes, our Binary to Decimal Converter is completely free and works directly in your browser without any signups.
Can it convert large binary numbers?
Yes. You can paste long binary strings and the converter returns the exact decimal value instantly, with no length limits.
Does it also show octal and hexadecimal?
It does. Alongside the decimal result, you get the octal and hexadecimal equivalents so you can cross-check your work.
What happens if I enter an invalid character?
The tool expects only 0s and 1s. If it sees anything else, it flags the input so you can correct the binary string.
From our blog
Binary to Decimal: Read 1s and 0s Fast
Read the full guide behind the Binary to Decimal Converter and get the most out of it.
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