Hex Bitwise Calculator
The Hex Bitwise Calculator runs a bitwise operation between the two values you enter in Hex Value A and Hex Value B. Choose AND, OR, or XOR from the Operation dropdown, click Calculate, and the outcome appears in Result (Hex). The fastest way to convert a hex byte value into octal digits is the hex to octal converter, which handles the binary conversion internally.
What the Hex Bitwise Calculator Does
Enter a hex value into Hex Value A and another into Hex Value B, pick an operation from the Operation dropdown — AND, OR, or XOR — and click Calculate. The tool converts both hex inputs to binary internally, applies the chosen bitwise operator to every bit position, and converts the result straight back to hex in the Result (Hex) field. Because the calculator uses arbitrary-precision arithmetic, it isn't limited to 8-, 16-, 32-, or 64-bit values — hex inputs of any length are supported. Run the hex to rgba converter before writing a stylesheet to make sure your transparency channel matches the intended design opacity.
How Each Bitwise Operator Works
- AND (&): the result bit is 1 only where both input bits are 1. Useful for masking — clearing bits you don't care about while keeping the ones you do.
- OR (|): the result bit is 1 where either input bit is 1. Useful for setting specific bits without disturbing the rest.
- XOR (^): the result bit is 1 where the two input bits differ. Useful for toggling bits, detecting changes between two values, and building simple checksums.
Worked Example: Hex AND, OR, and XOR on 7A and 3C
Take Hex Value A = 7A and Hex Value B = 3C. In binary, that's 0111 1010 and 0011 1100. Lining the bits up: The fastest way to translate binary output from a microcontroller log into octal notation is the binary to octal converter. The fastest way to get both a decimal answer and a ready-to-use AWK snippet for hex conversion is the hex to decimal awk.
| Operation | Bit-by-bit result | Result (Hex) |
|---|---|---|
| AND | 0111 1010 & 0011 1100 = 0011 1000 | 38 |
| OR | 0111 1010 | 0011 1100 = 0111 1110 | 7E |
| XOR | 0111 1010 ^ 0011 1100 = 0100 0110 | 46 |
In formula terms, the AND case is:
$$ \text{0x7A} \mathbin{\&} \text{0x3C} = \text{0x38} $$
Notice that AND only "keeps" a bit where both operands already had it set, OR "keeps" a bit that either operand had set, and XOR flags exactly the bit positions where the two operands disagreed — the AND result (38) has fewer set bits than either input, while OR (7E) has at least as many as the larger input.
Why Hex Is the Natural Format for Bitwise Work
Bitwise AND, OR, and XOR are defined at the bit level, but reading and writing long strings of 1s and 0s is slow and error-prone. Since every hex digit maps to exactly four bits, hex keeps a bitmask or flag register compact and glanceable — F0 is instantly recognizable as "top nibble set, bottom nibble clear" without counting eight individual digits. That's why bitwise logic in embedded programming, driver code, and low-level protocol work is almost always documented and debugged in hex rather than binary or decimal.
Common Uses for a Hex AND OR XOR Tool
- Bitmask and flag checking — AND a hex status register against a known flag mask to see whether a specific bit (or group of bits) is set, without manually expanding either value to binary.
- Setting or clearing specific bits — OR a value with a mask to force certain bits on; AND with an inverted mask to force bits off.
- Comparing two hex values for differences — XOR two register dumps or two versions of the same value; any nonzero result bit marks exactly where they diverge.
- Learning and verifying bitwise logic — check a manual AND/OR/XOR calculation from a computer-science course or a debugging session against a known-correct result.
- Networking — subnet mask and address bitmasking is fundamentally hex AND/OR logic, whether you're checking a mask by hand or verifying a script's output.
Frequently Asked Questions
Does this tool support NOT or bit shifts?
Not on this page — this calculator covers AND, OR, and XOR specifically. For left/right bit shifts on a hex value, use the Hex Shift Calculator. For flipping every bit of a hex value (bitwise NOT) in the context of negative-number representation, see the Hex Two's Complement Calculator.
What if Hex Value A and Hex Value B are different lengths?
The shorter value is treated as if padded with leading zero bits, so a short value like F compared against a longer one like 0F0F behaves exactly as you'd expect from aligning them at the least-significant bit.
Can I use this for negative or signed hex values?
This calculator operates on the raw bit pattern of whatever hex you enter — it doesn't interpret a value as a signed two's-complement number. If you need signed-integer bitwise behavior, convert with the Hex Two's Complement Calculator first.
Is there a limit to how large the hex values can be?
No fixed bit-width limit — the calculator uses arbitrary-precision arithmetic, so it handles hex values well beyond standard 32-bit or 64-bit integer ranges.
Does this tool send my data anywhere?
No. The conversion runs entirely in your browser using client-side JavaScript. Nothing you type is uploaded or stored.