Hex NAND Calculator
Bitwise NAND (NOT AND) two hex values at your chosen bit width — the result is 0 only where both inputs are 1, 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 NAND Two Hex Values
Compute the bitwise AND of the two values first, then flip every bit of that result. A NAND result bit is 0 only in the one case where both inputs have a 1 there — every other combination (0-0, 0-1, 1-0) gives 1.
Hex NAND Example, Step by Step
FF NAND FF = 00
0xFF ⊼ 0xFF = 0x00
1111 1111 & 1111 1111 ----------- 1111 1111 (AND) ~ 1111 1111 ----------- 0000 0000 (NAND)
| Step | Description | Result |
|---|---|---|
| AND the two values | FF & FF = FF (every bit matches) | 0xFF |
| Flip every bit | NOT 0xFF (8-bit) | 0x00 |
Two identical all-1s values NAND to all-0s — the one case where AND produces every bit set, which NOT then fully clears.
Where Hex NAND Actually Comes Up
Building Other Gates From NAND in Digital Logic
Because NAND is functionally complete, chip designers and digital logic students construct AND, OR, and NOT gates entirely out of NAND gates as a foundational exercise.
NOT(x) = x NAND x
Detecting When Not Every Flag Is Set
NANDing two flag values and checking for a nonzero result tells you at least one of the two flags is off — the complement of checking whether both are on.
flagsA NAND flagsB != 0 -> not all set
Working Through a Digital Logic Homework Problem
Verifying a NAND truth table result by hand for a specific hex/binary input pair is a common step when studying digital logic design.
check NAND 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 NAND's result (via its NOT step) depends on width
- Runs entirely in your browser — nothing you type gets sent anywhere
- Switch to AND, OR, 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 NAND work?
NAND is AND followed by NOT — compute A AND B, then flip every bit of the result. A result bit is 0 only when both inputs are 1; every other combination gives 1.
Why is NAND called a "universal" gate?
In digital logic, any other logic gate (AND, OR, NOT, XOR) can be built using only NAND gates — that universality is why NAND is a foundational building block in chip design, even though it's less intuitive than AND or OR on its own.
Is NAND the opposite of AND?
Yes exactly — NAND's output is the bitwise NOT of AND's output for the same two inputs, so NAND and AND always disagree on every bit.
Does bit width affect a NAND result?
Yes, the same way it affects NOT — since NAND ends with a NOT step, the leading bits beyond your operands' significant digits also flip, so always confirm the bit width matches your intended data size.