Bitwise Calculator
Use this free Bitwise Calculator online to calculate AND, OR, XOR, and NOT operations in binary, decimal, and hexadecimal with visual bit-by-bit steps.
46 Bin00101110 Hex0x2E 74 Bin01001010 Hex0x4A Results Summary
Bit-by-Bit Visualization
Interactive Truth Table Matrix
Click a row to load values into A and B, or inspect how each gate behaves.
| Input A | Input B | AND | OR | XOR | NOT A |
|---|---|---|---|---|---|
| 0 | 0 | 0 | 0 | 0 | 1 |
| 0 | 1 | 0 | 1 | 1 | 1 |
| 1 | 0 | 0 | 1 | 1 | 0 |
| 1 | 1 | 1 | 1 | 0 | 0 |
How Bitwise Calculator works
A bitwise calculator online is a bitwise operation tool that executes binary logic. The tool receives numbers in different formats, performs calculations on individual bits, and displays step-by-step logic. Developers use it to test file permissions, verify feature flags, and perform networking calculations.
Bitwise AND (&)
Bitwise AND returns 1 at a bit position, if both corresponding input bits are 1.
Bitwise OR (|)
Bitwise OR returns 1 at a bit position, if either corresponding input bit is 1.
Bitwise XOR (^)
Bitwise XOR returns 1 at a bit position, if the input bits are different.
Bitwise NOT (~)
Bitwise NOT flips every bit in the selected bit width.
Bitwise Operations Calculation Steps
To execute calculations, follow these bit-level analysis steps.
How to Calculate Bitwise AND
- Align the binary digits.
- Compare each column.
- Write 1 only when both input bits are 1.
- Use the result for masking unused high bits.
How to Calculate Bitwise OR
- Align both binary values.
- Compare each bit column.
- Write 1 when either input bit is 1.
- Use OR logic for setting flags.
How to Calculate Bitwise XOR
- Align both values.
- Write 1 when bits are different.
- Write 0 when bits match.
- Use XOR for toggling bits.
How to Calculate Bitwise NOT
- Choose a bit width.
- Invert every bit.
- Check signed output with two's complement.
How to Calculate Bitwise Left Shift
- Choose the shift count.
- Move bits left.
- Fill right positions with 0.
How to Calculate Bitwise Right Shift
- Choose the shift count.
- Move bits right.
- Discard bits that fall off the edge.
Bitwise Number Systems
Binary, decimal, and hexadecimal views help compare the same bit pattern in multiple formats.
| Decimal | Binary (8-bit) | Hexadecimal | Role |
|---|---|---|---|
0 | 00000000 | 0x00 | All flags cleared |
1 | 00000001 | 0x01 | Least significant bit active |
15 | 00001111 | 0x0F | Lower nibble boundary mask |
255 | 11111111 | 0xFF | Full byte active |
Why Use This Bitwise Calculator?
This online bit calculator serves as a fast math utility for programming and computer science.
Bitwise Operator Calculator with Steps
View exact binary alignment and compare values digit by digit.
Supports Binary, Decimal & Hexadecimal
Use binary, decimal, or hexadecimal input formats.
Visual Bit Diagrams
Interactive visual bit diagrams show how each bit flips.
Configurable Bit Width
Choose Auto, 8-bit, 16-bit, 32-bit, or 64-bit word sizes.
Fast & Accurate Online Calculation
Calculations run locally and match standard programming language behavior.
Practical Applications of Bitwise Operations
Bitwise operations serve many purposes in computer systems. These operations run faster than arithmetic instructions on standard hardware.
Permission and Access Control
Operating systems store file permissions in compact bit fields. Users combine flags with bitwise OR and check permissions with bitwise AND.
Feature Flags
Applications use single bits to toggle features. Systems check flag values with a simple bit mask before enabling a feature.
Bit Masking
Masking isolates specific bits in a larger word. Programmers combine masks to read, clear, or write binary fields.
Embedded Systems
Microcontrollers communicate through bit-level signals. Developers read sensor registers and status flags by masking unused pins.
Networking and Protocols
Network hardware parses headers with bitwise shifts and masks. Subnet and protocol tools use bit fields to decode addresses.
Graphics and Image Processing
Graphics software stores color channels in integer words. Programmers extract red, green, and blue values with shifts and masks.
Frequently Asked Questions
Find answers to common questions about bitwise operations and this online tool.