What are bit shifts used for?

Left shift ( >) moves bits the other way, effectively dividing by 2. Bit shifts are used in performance-critical code as fast alternatives to multiplication and division by powers of 2, and in data packing and unpacking operations where fields are stored at specific bit positions within an integer.

How do bitmasks work?

A bitmask is an integer used with bitwise AND to isolate specific bits from another integer. For example, to check whether bit 3 of a value is set, you AND the value with the mask 0b00001000 (decimal 8) — if the result is non-zero, bit 3 is set. This technique is used extensively in hardware register programming, permission systems, and compact boolean flag storage.

What is bitwise XOR used for in practice?

Bitwise XOR has several practical uses: toggling specific bits (XOR with a mask flips those bits), swapping two variables without a temporary variable (a classic interview trick using a ^= b; b ^= a; a ^= b;), and simple data obfuscation. XOR is also a fundamental building block in many cryptographic algorithms, including stream ciphers and hash functions.

Why does the calculator show binary representations of the inputs?

Showing the binary representation of each operand alongside the result is essential for understanding what bitwise operations actually do — the human-readable decimal values obscure the bit-level mechanics that make these operations meaningful. Seeing which bits are set in each input and how they combine in the output builds intuition for writing and debugging bitwise code far faster than working from decimal values alone.

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Bitwise Calculator

Perform bitwise AND, OR, XOR, NOT, left shift, and right shift operations.

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bin: 1100 | hex: C

B (shift amount for shifts)

bin: 1010 | hex: A

Results

AND810000x8

OR1411100xE

XOR61100x6

NOT-13-11010x-D

LSHIFT12288110000000000000x3000

RSHIFT000x0

How to Use

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Enter your numbers

Type two numbers in decimal, hex (0x prefix), or binary (0b prefix). Both values are shown in all three representations for verification.

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Choose bitwise operation

Select AND (&), OR (|), XOR (^), NOT (~), left shift (<<), or right shift (>>). Results update instantly in decimal, hex, and binary.

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Copy results

Click any output format to copy it. Essential for low-level programming, embedded systems, flag manipulation, and performance optimization.

What is Bitwise Calculator?

The bitwise calculator applies AND, OR, XOR, NOT, left shift, and right shift operations to integer inputs and displays both the binary representation of the operands and the final result. It operates at the bit level, making it indispensable for systems programming, embedded development, and understanding how CPUs manipulate data. You can see exactly which bits are set, cleared, or flipped after each operation.

Why use Bitwise Calculator?

Bitwise operations underpin low-level programming tasks like flag manipulation, bitmask creation, and efficient data packing — having a visual calculator that shows the binary layout of each operand makes these tasks far easier to reason about. It removes the mental overhead of tracking individual bits across large integers. Programmers working in C, C++, Rust, or assembly benefit most, but any developer dealing with hardware registers or network protocols will find it useful.

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How it works

Embedded developers use this tool to build and verify bitmasks for GPIO register configuration on microcontrollers. Game developers use it to pack multiple boolean flags into a single integer for compact state representation. Network programmers use bitwise AND with subnet masks to verify IP address filtering logic.

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Pro Tip

Left-shifting an integer by n bits is equivalent to multiplying by 2^n, and right-shifting is equivalent to dividing by 2^n — use this fact to verify shift operations quickly and to understand why bit shifts appear in performance-optimized code.

Frequently Asked Questions

Logical AND (&&) operates on boolean true/false values and returns true or false. Bitwise AND (&) operates on integers bit by bit — each bit position in the result is 1 only if the corresponding bit is 1 in both operands. For example, 5 & 3 = 1 (binary: 101 & 011 = 001). Bitwise AND is used for masking, flag checking, and low-level data manipulation rather than boolean logic.

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