The Bitwise Operation Calculator performs several types of bitwise operations on binary numbers. These operations include:
- Bitwise AND (&)
- Bitwise OR (|)
- Bitwise XOR (^)
Each of these operations serves a specific purpose and follows certain rules to produce the result. The calculator allows users to input binary numbers and quickly get the output of these operations.
Formula of Bitwise Operation Calculator
Bitwise AND (&)
The resulting bit is 1 only if both corresponding bits in the operands are 1. Otherwise, the result bit is 0.
Bitwise OR (|)
The resulting bit is 1 if at least one of the corresponding bits in the operands is 1. The result is 0 only if both corresponding bits are 0.
Bitwise XOR (^)
The resulting bit is 1 if the corresponding bits in the operands are different (one is 0 and the other is 1). The result is 0 if both corresponding bits are the same (either 0 or 1).
Conversion Table
Here is a table of common terms and conversions for bitwise operations. This table can be helpful for quick reference:
Operation | Binary Input 1 | Binary Input 2 | Result |
---|---|---|---|
AND | 1101 | 1011 | 1001 |
OR | 1101 | 1011 | 1111 |
XOR | 1101 | 1011 | 0110 |
This table shows how different bitwise operations work with specific binary inputs.
Example of Bitwise Operation Calculator
Let’s walk through an example using the Bitwise Operation Calculator:
- Input binary numbers:
1101
and1011
- Select the desired operation (e.g., AND, OR, XOR)
- The calculator performs the operation and displays the result
For instance, using the AND operation:
1101
AND1011
results in1001
This example demonstrates the simplicity and effectiveness of the calculator in handling bitwise operations.
Most Common FAQs
Bitwise operations are used in various applications, including digital circuit design, cryptography, and low-level programming. They allow efficient manipulation of binary data.
To convert decimal numbers to binary, you can use a standard decimal-to-binary conversion method or an online converter tool. The Bitwise Operation Calculator requires binary inputs for accurate results.
Yes, bitwise operations can be performed on hexadecimal numbers by first converting them to binary. The calculator can handle binary inputs directly, but users may convert hexadecimal to binary if needed.