converters
Binary to Decimal Converter
Convert binary strings of ones and zeros into decimal values with step-by-step exponential power calculation breakdowns.
Calculated locally in browser.
English Words Spelling
two hundred fifty-five
DECIMAL (BASE 10)
BINARY (BASE 2)
HEXADECIMAL (BASE 16)
OCTAL (BASE 8)
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How to Use Binary to Decimal Converter
1
Input Binary
Type a binary string (e.g. 10110101).
2
View Decimal
See the instant decimal equivalent.
3
Inspect Steps
Review the base-2 positional power math breakdown (2^0, 2^1, 2^2...).
About Binary to Decimal Converter
Evaluates the sum of binary digits multiplied by their respective powers of two: sum(bit_i * 2^i).
Supported Formats
BinaryDecimal
Operational Limits
- •Integer and fractional binary support
Key Features
- Step-by-step mathematical calculation formula
- Supports 8-bit, 16-bit, 32-bit, and 64-bit binary strings
- Validates binary characters (0 and 1 only)
- One-click copy and swap
Frequently Asked Questions
11111111 in binary equals 255 in decimal (one full 8-bit byte).
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