Binary to Decimal Converter
Convert binary numbers (Base-2) to Decimal (Base-10), Hex (Base-16), and Octal (Base-8).
About Binary to Decimal Converter (Base-2 to Base-10)
Convert binary code strings (0s and 1s) into standard decimal numbers and convert decimal integers into binary with our Binary to Decimal Converter. Ideal for computer science students, software engineers, and digital electronics designers working with binary logic, subnet masks, and bitwise operations.
Key Binary Calculation Features
- 0️⃣1️⃣ Two-Way Instant Conversion: Convert Binary (Base-2) ⇄ Decimal (Base-10) seamlessly in real time.
- 📝 Step-by-Step Calculation Breakdown: Shows positional powers of 2 (2⁰, 2¹, 2², 2³, 2⁴...) for easy learning.
- 🔢 Handles Large Bitstrings: Supports standard 8-bit bytes, 16-bit words, 32-bit integers, and custom lengths.
- ⚡ Instant Validation: Automatically filters invalid non-binary characters.
How to Convert Binary to Decimal Manually
- Write down the binary number (e.g. 1011).
- Multiply each binary digit by 2 raised to the power of its position from right to left starting at 0:
(1*2³) + (0*2²) + (1*2¹) + (1*2⁰). - Calculate the values:
8 + 0 + 2 + 1 = 11. - The decimal equivalent of binary 1011 is 11.
Frequently Asked Questions (FAQ)
What is binary code?
Binary is a Base-2 numbering system used by computers that represents all numbers and text using only two digits: 0 and 1.
What is the decimal value of 11111111 in binary?
Binary 11111111 is equal to decimal 255 (the maximum value of an 8-bit unsigned byte).
How do I convert decimal numbers back to binary?
Divide the decimal number repeatedly by 2 and record the remainders from bottom to top until the quotient is 0.
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