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Two's Complement Calculator

Enter any logical number (binary, decimal, or hexadecimal), select the number of binary digits, and hit the calculate button to find the two's complement with detailed steps

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Simple

Decimal:

No. of Binary Digits:

Input Format:

Number of Bits-128 to 127

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Two's Complement Calculator

Use our free Two's Complement Calculator to compute the 2's complement of any decimal, binary, or hexadecimal number. This tool simplifies number conversions by providing results in multiple formats, including:

One's complement
Two's complement
Signed binary to decimal
Hexadecimal

What Is Two's Complement?

Two's complement is a method used in computing to represent signed integers in binary. It enables encoding of both positive and negative numbers efficiently. To compute the 2's complement of a binary number:

Find the one's complement by inverting all bits (0 → 1, 1 → 0).
Add 1 to the least significant bit (LSB) of the result.

Example: Convert decimal 20 to 2's complement (8-bit):

Decimal 20 → Binary: 00010100
One's complement: 11101011
Add 1 → Two's complement: 11101100

How the Two's Complement Calculator Works

Input:

Select the number type: decimal, binary, or hexadecimal.
Enter the value in the input field.
Specify the binary bit-length if required.
Click "Calculate" to see the results.

Output:

Two's complement of the entered number.
Displayed in binary, decimal, hexadecimal, and one’s complement formats.

Two's Complement Addition and Subtraction

Input:

Enter the first 2's complement binary number.
Enter the second 2's complement binary number.
Select the operation: addition or subtraction.
Click "Calculate" to get the result.

Output:

Result of adding or subtracting the 2's complement numbers.

Reference

Wikipedia: Two's complement representation. Calculation proceeds from the least significant bit (LSB) to the most significant bit (MSB).

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