2's Complement Calculator
Convert decimal numbers to binary 2's complement representation and vice versa. Supports 8-bit, 16-bit, and 32-bit formats.
Published by:
isCalculator Editorial Team
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How to use this tool?
How to Use the 2's Complement Calculator
This calculator converts between decimal integers and their 2's complement binary representation. Follow these steps:
- Select Conversion Direction – Choose Decimal to 2's Complement Binary or 2's Complement Binary to Decimal from the dropdown.
- Enter Input – For decimal, type an integer (e.g.,
-42or127). For binary, type only 0s and 1s (e.g.,11010110). - Choose Bit Length – Select 8, 16, or 32 bits. This defines the range and padding of the result.
- Click "Calculate" – The result appears below, along with step-by-step details showing the conversion process.
Important: Decimal values must be within the range for the selected bit length (e.g., 8-bit: -128 to 127). Binary input is automatically padded to the chosen bit length.
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Frequently Asked Questions
Two's complement is a mathematical operation on binary numbers used to represent signed integers. It is the most common method of representing negative integers in computers.
For a positive number, just write the binary representation. For a negative number, invert all bits of the positive binary representation and add 1.
For 8 bits, the range is -128 to 127.
