Updated Math & Binary

Binary Calculator

Perform binary arithmetic, convert between binary, decimal, hex, and octal, run bitwise operations, and interpret signed vs unsigned values in one tool.

Binary Arithmetic Base Converter Bitwise Operators Signed vs Unsigned

All-in-One Binary Calculator

Switch between arithmetic, base conversion, bitwise operations, and signed/unsigned interpretation.

Inputs must contain only 0 and 1. For division, quotient and remainder are shown separately.

You can enter positive or negative values. Hex values can use A–F or a–f.

Bitwise operations are performed as 32-bit integers. Leading zeros are trimmed in the binary display.

Bit length is used for interpreting the most significant bit as the sign bit in two's complement.

Binary Calculator – From Simple Binary Math to Bitwise and Base Conversion

This Binary Calculator is a multi-purpose tool designed to handle common binary tasks in one place. You can perform binary arithmetic, convert between binary and other bases, work with bitwise operators, and interpret binary strings as signed or unsigned integers.

1. Binary Arithmetic

In the Binary Arithmetic tab, you enter two binary numbers and choose an operation: addition, subtraction, multiplication, or division. The calculator parses the inputs as base-2 integers and displays the result in both binary and decimal. For division, the quotient and remainder are shown separately in binary.

2. Base Converter

The Base Converter lets you quickly switch between binary, decimal, hexadecimal, and octal. Choose the base of your input value and the tool will display the equivalent value in all four bases. This is useful for computer science, programming, and low-level debugging.

3. Bitwise Operations

The Bitwise Operations tab supports AND, OR, XOR, NOT, and shift operations on binary values. Inputs are treated as 32-bit integers, and the result is shown as binary, unsigned decimal, and signed 32-bit decimal. This is especially helpful for understanding flags, masks, and low-level bit manipulation.

4. Signed vs Unsigned Interpretation

The Signed / Unsigned tab interprets a binary string as both unsigned and signed two's complement using a given bit length. It shows:

  • The unsigned decimal value
  • The signed decimal value using two's complement rules
  • The full unsigned range for the bit length
  • The full signed range for the bit length

This is useful when you work with 8-bit, 16-bit, or 32-bit registers, memory values, or protocol fields and need to understand how the same bits can represent different numbers depending on interpretation.

Binary Basics Used in This Calculator

  • Binary is base 2, using only 0 and 1.
  • Hexadecimal is base 16, using digits 0–9 and letters A–F.
  • Octal is base 8, using digits 0–7.
  • Two's complement represents negative numbers by inverting bits and adding 1.

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