Hex NOR Calculator
Bitwise NOR (NOT OR) two hex values at your chosen bit width — the result is 1 only where both inputs are 0, shown with aligned binary output.
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 NOR Two Hex Values
Compute the bitwise OR of the two values first, then flip every bit of that result. A NOR result bit is 1 only in the one case where both inputs are 0 there — any 1 in either input forces that result bit to 0.
Hex NOR Example, Step by Step
00 NOR 00 = FF
0x00 ⊽ 0x00 = 0xFF
0000 0000 | 0000 0000 ----------- 0000 0000 (OR) ~ 0000 0000 ----------- 1111 1111 (NOR)
| Step | Description | Result |
|---|---|---|
| OR the two values | 00 | 00 = 00 (no bits set in either) | 0x00 |
| Flip every bit | NOT 0x00 (8-bit) | 0xFF |
Two all-0s values NOR to all-1s — the one case where OR produces every bit clear, which NOT then fully sets.
Where Hex NOR Actually Comes Up
Building Other Gates From NOR in Digital Logic
Because NOR is functionally complete, chip designers and digital logic students construct AND, OR, and NOT gates entirely out of NOR gates, similarly to how NAND-only circuits work.
NOT(x) = x NOR x
Checking Whether Neither Flag Is Set
NORing two flag values and checking for a nonzero result identifies bit positions where neither flag was on — useful for finding fully-clear status bits at a glance.
flagsA NOR flagsB shows bits both left off
Working Through a Digital Logic Homework Problem
Verifying a NOR truth table result by hand for a specific hex/binary input pair is a common step when studying digital logic design alongside NAND.
check NOR 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 NOR's result (via its NOT step) depends on width
- Runs entirely in your browser — nothing you type gets sent anywhere
- Switch to OR, 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 NOR work?
NOR is OR followed by NOT — compute A OR B, then flip every bit of that result. A result bit is 1 only when both inputs are 0 there; any 1 in either input forces that result bit to 0.
Is NOR also a "universal" logic gate?
Yes — like NAND, NOR is functionally complete, meaning any other logic gate can be built from NOR gates alone, which is why it's a common building block in digital circuit design alongside NAND.
Is NOR the opposite of OR?
Yes exactly — NOR's output is the bitwise NOT of OR's output for the same two inputs, so NOR and OR always disagree on every bit.
What does NOR-ing two values with itself do?
A NOR A is the same as NOT A — since ORing a value with itself just returns the value unchanged, the following NOT step is the only thing that has an effect.