computer-science Verified Precision Tool
Digital Logic & Truth Table Generator
Generate interactive truth tables and evaluate Boolean logic gates (AND, OR, NOT, NAND, NOR, XOR, XNOR).
Interactive Algorithm Visualizer
Algorithm Step-by-Step Simulator
Enter your custom input data → Run the real algorithm engine → Observe step transitions.
⚙️ Customize Algorithm Input Data
XOR Truth Table
| Input A | Input B | Output Y |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
Mathematical Formula
XOR = A ⊕ B = (A ∧ ¬B) ∨ (¬A ∧ B)
Overview & Explanation
Digital logic gates form the fundamental building blocks of digital integrated circuits and CPU arithmetic logic units (ALUs).
How It Works
- Evaluate binary truth table values across all input variable combinations (0 and 1).
Practical Applications
- Computer architecture design
- Circuit simplification
- Boolean algebra homework
XOR Gate Truth Table
Evaluating A XOR B
1
Combo 0,0
0 XOR 0
= 0
2
Combo 0,1
0 XOR 1
= 1
3
Combo 1,0
1 XOR 0
= 1
4
Combo 1,1
1 XOR 1
= 0
Frequently Asked Questions
Why are NAND and NOR called universal gates?
Because any Boolean logic function can be implemented using only NAND gates or only NOR gates.
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