Binary to Decimal Converter – Convert Binary Numbers Instantly
Easily convert binary numbers into decimal with our Binary to Decimal Converter. Whether you’re studying number systems, working on a coding project, or simply need quick conversions, our tool makes it simple.
Why Use Our Binary to Decimal Converter?
✅Instant conversion from binary to decimal
✅ Ideal for learning and working with number systems
✅ Fast and accurate results for any binary input
✅ User-friendly and easy to use
How to Use the Binary to Decimal Converter?
Enter a binary number (only
0and1) into the input box.Click on the “Convert to Decimal” button.
Get the decimal equivalent of your binary number instantly.
If the input is invalid, the tool will notify you with an error message.
The Importance of Binary and Decimal Systems
Binary and decimal are the foundational number systems used in computing and digital technology. Understanding how to convert between them is essential for anyone working with computers, programming, or electronics.
Start Converting Binary to Decimal Now!
Need to convert a binary number? Use our Binary to Decimal Converter and get quick, accurate results. Try it out now!
Binary to Decimal Converter
Decimal Result: -
How to Convert Binary to Decimal Manually
To convert a binary number to decimal manually, follow these steps:
Step 1: Write Down the Binary Number
Let’s say your binary number is 1011.
Step 2: Assign Powers of 2 from Right to Left
Starting from the right (least significant bit), assign powers of 2 to each digit:
| Binary Digit | 1 | 0 | 1 | 1 |
|---|---|---|---|---|
| Power of 2 | 2³ | 2² | 2¹ | 2⁰ |
| Value | 8 | 0 | 2 | 1 |
Step 3: Multiply Each Bit by Its Power of 2
Now multiply each binary digit by its corresponding power of 2.
1 × 2³ = 8
0 × 2² = 0
1 × 2¹ = 2
1 × 2⁰ = 1
Step 4: Add the Results
Add all the products together:
Final Result:
Binary 1011 = Decimal 11