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Perform bitwise operations on Hex, Decimal, and Binary numbers.
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Decimal | |
Binary |
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We built this Bitwise Calculator as a helpful tool for developers, students, and anyone working with low-level data. Bitwise operations are actions that work directly on the individual bits (the 0s and 1s) that make up numbers. Our calculator lets you perform these operations easily and see exactly what's happening behind the scenes.
You can enter numbers in hexadecimal, decimal, or binary format, choose an operation, and instantly see the result in all three formats. We also included a detailed binary breakdown, which shows the binary representation of your inputs and the result of the operation, making it a great tool for learning and debugging.
Bitwise operations are fundamental actions performed by a computer's processor. Instead of working with a number's decimal value, they manipulate its binary representation (its sequence of 0s and 1s). They are used in programming for tasks like setting or clearing specific flags, data compression, and encryption.
These operations compare the bits of two numbers at each position:
Bit shifting moves all the bits in a number to the left or right. A Left Shift (<<) is a fast way to multiply a number by a power of 2. A Right Shift (>>) is a fast way to divide a number by a power of 2. They are often used in graphics and hardware programming for performance reasons.
Most modern programming languages and computer systems perform bitwise operations on 32-bit or 64-bit integers. Our calculator uses 32 bits as it is a very common standard for these operations. This provides a clear and consistent representation of how the calculations work in practice.
The calculator represents negative numbers using a method called "two's complement," which is the standard way computers handle them. In this system, the most significant bit (the far-left bit) indicates the sign (1 for negative). The binary breakdown will show you this representation for any negative decimal inputs.