How it works
Convert between Binary and Decimal number systems.
Input query strings and outputs
Use an input name in this page’s URL as ?name=value, and join additional inputs with &. Portable shared links may instead use the compact ?ac= state parameter.
Input query strings
2-
?input=InputText · Optional · Default: 1010
-
?mode=ModeChoice · Optional · Default: bin2dec
Outputs
1-
resultResultText · Primary output
result contains the calculator’s complete rendered result area, including its visible result cards, tables, charts, and messages.
Convert between Binary and Decimal systems
Description
The Binary Calculator is a specialized tool for developers, computer science students, and tech enthusiasts. It facilitates the conversion between the Binary (Base-2) system used by computers and the Decimal (Base-10) system used by humans. Understanding these conversions is foundational for low-level programming, networking, and digital logic.
Inputs
- Conversion Mode: Select between “Binary to Decimal” or “Decimal to Binary”.
- Number Input:
- In Binary to Decimal mode, enter a string of 1s and 0s.
- In Decimal to Binary mode, enter any standard whole number.
Outputs
- Result: The converted value in the target base system.
Chart
- N/A: This tool provides direct numeric base conversion.
“Good to Know”
- Base-2 system: Binary uses only two digits, 0 and 1. Each digit’s value is a power of 2, starting from $2^0$ on the far right.
- Validation: The tool will notify you if you attempt to enter non-binary digits (like 2-9) in binary mode.
- Bits and Bytes: A single binary digit is a “bit.” Eight bits make one “byte,” which can represent decimal numbers from 0 to 255.
Examples
Example 1: Common Binary Value
- Input: Mode: Bin to Dec, Number:
1010 - Output:
10
Example 2: Small Decimal to Binary
- Input: Mode: Dec to Bin, Number:
15 - Output:
1111
Example 3: Larger Conversion
- Input: Mode: Dec to Bin, Number:
255 - Output:
11111111