Hex XNOR Calculator
Bitwise XNOR (NOT XOR) two hex values — the result is 1 where both bits match, and 0 where they differ, the inverse of XOR.
Binary, aligned by bit
Built by
Swapnil SanghviFull-Stack Web Developer & WordPress Developer
Swapnil Sanghvi is a full-stack web and WordPress developer, UI designer, and full-time freelancer who builds and maintains Hex Calculator.
Further reading: Bitwise operation — Wikipedia
How to XNOR Two Hex Values
Compute the bitwise XOR of the two values first, then flip every bit of that result. An XNOR result bit is 1 exactly where the two input bits match — both 0 or both 1 — and 0 wherever they differ, the mirror image of XOR's "only when different" rule.
Hex XNOR Example, Step by Step
AA XNOR AA = FF
0xAA ⊙ 0xAA = 0xFF
1010 1010 ^ 1010 1010 ----------- 0000 0000 (XOR) ~ 0000 0000 ----------- 1111 1111 (XNOR)
| Step | Description | Result |
|---|---|---|
| XOR the two values | AA ^ AA = 00 (every bit matches itself) | 0x00 |
| Flip every bit | NOT 0x00 (8-bit) | 0xFF |
Any value XNORed with itself gives all 1s, since every bit trivially matches — the mirror image of any value XORed with itself always giving all 0s.
Where Hex XNOR Actually Comes Up
Bit-by-Bit Equality Checking in Digital Logic
Comparator circuits use XNOR gates to test whether two bits are equal — a result of all 1s across every bit position means the two full values are identical.
A XNOR B = 0xFF...F means A equals B
Counting Matching Bits Between Two Values
Combining XNOR with a bit-count step (counting how many result bits are 1) gives a quick measure of how similar two hex values are at the bit level.
popcount(A XNOR B) = matching bit count
Working Through a Digital Logic Homework Problem
Verifying an XNOR truth table result by hand for a specific hex/binary input pair is a common exercise when studying digital comparator circuits.
check XNOR output against a truth table
Why Use This Calculator Instead of Doing It by Hand
- Shows aligned binary for both operands and the result, not just the final hex
- Supports 8/16/32/64-bit widths, since XNOR's result (via its NOT step) depends on width
- Runs entirely in your browser — nothing you type gets sent anywhere
- Switch to XOR, AND, or NOT in the same calculator without retyping your values
Limitations
- Combines two values at a time — chain results manually for three or more.
- Results are bit-width dependent, the same way NOT is — confirm the selected width matches your data type.
Frequently Asked Questions
How does XNOR work?
XNOR is XOR followed by NOT — compute A XOR B, then flip every bit of that result. A result bit is 1 when the two input bits match (both 0 or both 1), and 0 when they differ.
Is XNOR the opposite of XOR?
Yes exactly — XNOR's output is the bitwise NOT of XOR's output for the same two inputs, so XNOR and XOR always disagree on every bit.
What is XNOR commonly used for?
Bit-equality checking — since XNOR's result bit is 1 exactly where two inputs' bits match, it's used in digital logic (and comparator circuits) to test whether two values are equal bit by bit.
What happens when you XNOR a value with itself?
Every bit matches itself, so every result bit is 1 — XNORing any value with itself always gives all 1s at the chosen bit width, the mirror image of XOR-with-itself always giving 0.