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Logic Gate Simulator

Simulate common logic gates and view their truth tables.

Theory & Scientific Principles

Boolean Algebra: Fundamental binary logic operations: Conjunction ($A \land B$, AND), Disjunction ($A \lor B$, OR), Negation ($\neg A$, NOT), and Exclusive-OR ($A \oplus B = A\overline{B} + \overline{A}B$).

Universal Gate Completeness: NAND ($\overline{A\cdot B}$) and NOR ($\overline{A+B}$) are functionally complete universal gates capable of synthesizing any arbitrary Boolean function.

De Morgan's Laws: $\overline{A \cdot B} = \overline{A} + \overline{B}$ and $\overline{A + B} = \overline{A} \cdot \overline{B}$.

Operating Instructions: Select gate type and toggle input bit states ($0$ or $1$). Inspect the resulting output signal and dynamic truth table highlight.

Configuration

A:0
B:0
AND
0

Truth Table