{ Binary XOR Calculator }

// compute XOR, AND, OR, NOT on binary & hex inputs

Compute XOR, AND, OR, and NOT bitwise operations on binary and hexadecimal inputs. Get results in binary, hex, decimal, and octal instantly.

// OPERATION
// INPUT FORMAT
Enter a binary value (0s and 1s)
Enter a binary value (0s and 1s)

Ready to compute

Enter values and click Compute

HOW TO USE

  1. 01
    Choose operation

    Select XOR, AND, OR, or NOT from the operation tabs at the top.

  2. 02
    Enter your values

    Type binary, hex, or decimal values into Operand A (and B if needed). Choose your input format.

  3. 03
    Compute & copy

    Click Compute to get results in BIN, HEX, DEC, and OCT with a bit-level visualization.

FEATURES

XOR Operation AND Operation OR Operation NOT / Complement Binary Input Hex Input Decimal Input Bit Visualization

USE CASES

  • 🔧 Debugging bitwise logic in code
  • 🔧 Learning binary arithmetic
  • 🔧 Cryptography and checksum work
  • 🔧 Networking subnet mask calculations
  • 🔧 Embedded systems / firmware development

WHAT IS THIS?

A bitwise operations calculator that computes XOR, AND, OR, and NOT on binary or hexadecimal inputs. Results are displayed in all common numeral systems — binary, hexadecimal, decimal, and octal — with a visual bit-by-bit breakdown.

RELATED TOOLS

FREQUENTLY ASKED QUESTIONS

What does XOR mean in binary?

XOR (Exclusive OR) outputs 1 when the two input bits are different, and 0 when they are the same. For example, 1 XOR 0 = 1, but 1 XOR 1 = 0. It's widely used in encryption, checksums, and toggling specific bits.

How does AND differ from OR?

AND outputs 1 only when both bits are 1 (1 AND 1 = 1). OR outputs 1 when at least one bit is 1 (0 OR 1 = 1). AND is used to mask or clear bits; OR is used to set specific bits.

Can I use hexadecimal input?

Yes. Switch the input format to HEX and enter values like FF, 0xAB, or 1A3C. The tool automatically converts and computes the operation, returning results in all formats.

What does NOT do in this calculator?

NOT (bitwise complement) flips every bit within the chosen bit width. For example, NOT of 00001111 in 8-bit mode is 11110000. Only one operand is needed for NOT.

What is the bit width setting for?

Bit width defines how many bits the result is padded or masked to — 8, 16, 32, or 64. This is important for NOT operations and for matching real data types like uint8_t or uint32_t.

Is this tool free to use?

Completely free. All computation happens in your browser — no data is sent to any server. There is no sign-up, no rate limit, and no watermark on results.

Binary XOR Calculator — Bitwise Operations Online

Bitwise operations are fundamental to programming, computer science, cryptography, and hardware design. This Binary XOR Calculator lets you compute XOR, AND, OR, and NOT operations on binary or hexadecimal inputs instantly in your browser, with results shown in binary, hexadecimal, decimal, and octal simultaneously.

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What Is XOR (Exclusive OR)?

XOR is a logical bitwise operation that returns 1 when the two operand bits differ, and 0 when they match. Its truth table is:

XOR is used everywhere — from toggling bits in flags, computing parity in data transmission, and implementing simple ciphers to RAID-5 error correction, hash functions, and cryptographic primitives like AES. Its self-inverse property (A XOR B XOR B = A) makes it especially useful for swapping values without a temporary variable.

Understanding AND, OR, and NOT

Each bitwise operator serves a distinct purpose in programming:

Binary vs Hexadecimal Input

Both formats represent the same underlying integers. Binary (base-2) uses only 0 and 1 and is the most explicit — every bit is visible. Hexadecimal (base-16) is more compact: each hex digit represents exactly 4 binary bits (one nibble). For example, 0xFF in hex equals 11111111 in binary.

When working with memory addresses, color values, protocol fields, or register maps, hex is the standard. This tool accepts both seamlessly, so you can input whichever is most natural for your task.

Bit Width and Unsigned Arithmetic

In most programming languages, bitwise operations respect the data type's bit width. A uint8_t uses 8 bits, so NOT of 0x0F is 0xF0. A uint32_t uses 32 bits, so the same NOT yields 0xFFFFFFF0. This tool lets you select 8, 16, 32, or 64 bits so results match your actual data type.

Common Use Cases

Tips for Working with Bitwise Operations