Perform bitwise operations (AND, OR, XOR, NOT, shifts) on integers instantly.
View results in both decimal and binary formats. Perfect for developers and students.
Enter any integer for bitwise operations
Required for AND, OR, and XOR operations
Enter numbers to see results
Bitwise operations work with integers. Enter valid numbers to perform calculations.
Follow these simple steps to perform bitwise operations:
Enter your first integer in the 'First Number' field (e.g., 42)
Optionally enter a second integer for AND, OR, and XOR operations
Toggle display options to show formatted binary or detailed explanations
View instant results as you type - all operations update automatically
Use the reset button to clear all inputs and start over
Enter 15 and 8 to see how AND operation checks if bit 3 is set: 15 & 8 = 8
Use 1 and 2 with OR operation to combine flags: 1 | 2 = 3
Enter 12 and 10 with XOR to find differing bits: 12 ^ 10 = 6
Enter any number and see left shift multiply by 2: 7 << 1 = 14
Enter 42 to see NOT operation and two's complement: ~42 = -43
Debug bit manipulation code, verify flag operations, optimize algorithms using bitwise tricks instead of arithmetic operations
Understand binary operations, number systems, and how computers perform arithmetic at the bit level
Work with register manipulation, hardware control, and configure device settings using bitwise operations
Implement efficient solutions for problems involving flags, masks, and binary patterns
Explore XOR operations for simple ciphers and understand bit-level operations in encryption algorithms
Bitwise operations work at the most fundamental level of computer arithmetic - individual bits. Unlike regular arithmetic operations that work with entire numbers, bitwise operations manipulate each bit (0 or 1) independently.
**AND (&)**: Compares each bit of two numbers and sets the result bit to 1 only if both bits are 1. Essential for bit masking - checking if specific bits are set while ignoring others.
**OR (|)**: Sets each bit to 1 if at least one of the corresponding bits is 1. Perfect for combining multiple flags or setting specific bits without affecting others.
**XOR (^)**: Sets each bit to 1 only if the corresponding bits differ. Invaluable in cryptography, error detection, and finding differences between binary states.
**NOT (~)**: Inverts all bits of a number, creating the one's complement. In two's complement representation, this effectively gives you the negative value plus one.
**Left Shift (<<)**: Shifts all bits left by the specified number of positions, filling empty positions with 0s. Each left shift multiplies the number by 2.
**Right Shift (>>)**: Shifts bits right, preserving the sign bit for negative numbers. Each right shift divides the number by 2 (integer division).
These operations are crucial in low-level programming, embedded systems, graphics programming, and algorithm optimization where performance and memory efficiency are critical.
Forgetting operator precedence
Remember that bitwise operators have lower precedence than arithmetic operators. Use parentheses to ensure correct order of operations.
Not understanding two's complement
Negative numbers use two's complement representation. When you NOT a positive number, you get its negative value minus one (e.g., ~5 = -6).
Shifting by too many bits
In JavaScript, shifting by more than 31 bits results in unexpected behavior. Keep shift values within reasonable bounds.
Confusing logical and bitwise operators
Use && for logical AND, || for logical OR. Use &, | for bitwise operations. Mixing them up leads to bugs.
Not considering overflow
Bitwise operations work with 32-bit integers in JavaScript. Be aware of overflow when working with large numbers.
Ignoring the sign bit
The most significant bit (bit 31) represents the sign in two's complement. Right shift preserves this bit for negative numbers.
Yes, completely free! No registration, downloads, or limitations. Use it as much as you need.
It supports 32-bit integers, from -2,147,483,648 to 2,147,483,647. Results are displayed in 32-bit binary format.
Absolutely! All calculations happen in your browser. No data is sent to servers, ensuring complete privacy.
Currently accepts decimal input, but displays results in both decimal and binary. Convert hex/octal to decimal first if needed.
NOT uses two's complement for negative numbers. When you invert bits of a positive number, you get its two's complement negative value.
Left shift is much faster and more efficient for multiplication by powers of 2. However, be aware of overflow with large shifts.
The calculator shows single-bit shifts. For multi-bit shifts, chain the operations or use programming languages that support n-bit shifts.
Perfect! The visual binary representations and instant feedback make it ideal for understanding bitwise operations and binary arithmetic.