Bitwise Calculator
AND, OR, XOR, NOT, Left/Right shift — binary visualization
Perform AND, OR, XOR, and other bitwise operations
DEC: 60HEX: 0x3CPerform AND, OR, XOR, and other bitwise operations
DEC: 13HEX: 0x0DPerform AND, OR, XOR, and other bitwise operations
DEC: 12HEX: 0x0CAND: Both bits must be 1
About the Bitwise Calculator
This bitwise calculator performs AND, OR, XOR, NOT and left and right shifts, showing the binary, decimal and hexadecimal form of every operand and result. Seeing the bits line up is what makes flag and mask work checkable.
A bitwise calculator is for the operations that treat a number as a row of bits rather than a quantity: combining permission flags with OR, testing one with AND, toggling with XOR, and multiplying or dividing by powers of two with shifts.
The reason to use a tool rather than reason it out is visibility. Every operand and result is shown in binary, decimal and hexadecimal at once, so you can see which bit position actually changed instead of inferring it from a decimal number that jumped from 40 to 104.
Useful for Unix file permissions, hardware register values, feature-flag bitmasks, network mask arithmetic and any protocol that packs several fields into one integer.
How to use the Bitwise Calculator
- Enter the first value. Type a number in binary, decimal or hexadecimal.
- Pick an operation. Choose AND, OR, XOR, NOT, left shift or right shift.
- Enter the second value. Provide the other operand, or the shift distance.
- Compare the bits. Read the result in binary, decimal and hex to see which positions changed.
Bitwise Calculator features
- Complete bitwise operations
- Logic gate simulation
- Binary/decimal/hex conversion
- Bit shift operations
- Bit rotation functions
- Real-time calculation
- Multiple number systems
- Educational explanations
- Professional programming tool
- Computer science learning
Frequently asked questions
What bitwise operations does this calculator support?
Comprehensive support for AND, OR, XOR, NOT, NAND, NOR, XNOR operations, bit shifts (left shift, right shift), bit rotation, and bit masking. Handles binary, decimal, and hexadecimal input/output for flexible programming applications.
How do logic gates work in digital computing?
Logic gates are fundamental building blocks of digital circuits. AND outputs 1 only if both inputs are 1, OR outputs 1 if either input is 1, XOR outputs 1 if inputs differ, NOT inverts the input. These operations form the basis of all digital computing and binary arithmetic.
What are common programming uses for bitwise operations?
Essential for flag management, permission systems, optimization algorithms, cryptography, network programming, embedded systems, graphics programming, and low-level system programming where direct bit manipulation provides performance benefits.
Can this calculator help with understanding binary numbers?
Yes! Shows binary representation of decimal numbers, performs operations in binary format, and displays results in multiple number systems. Perfect for learning computer science fundamentals and understanding how computers process data at the bit level.
How do bit shifts and rotations work?
Left shift (<<) moves bits left, effectively multiplying by powers of 2. Right shift (>>) moves bits right, dividing by powers of 2. Bit rotation preserves bits that would be lost during shifting, wrapping them to the opposite end.
Is this calculator suitable for embedded systems programming?
Absolutely! Essential for microcontroller programming, register manipulation, hardware control, and embedded systems where direct bit-level control is required for memory optimization and hardware interfacing.