NAND‑Based Logic Gates

Overview

An animation that demonstrates how a single NAND gate can be used to construct NOT, AND, and OR gates, and then walks through the De Morgan transformation step‑by‑step. The viewer sees correctly drawn gate symbols, color‑coded signal lines (yellow = 1, blue = 0), and the corresponding Boolean expressions beneath each circuit.

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Phases

#	Phase Name	Duration	Description
1	NAND as NOT	~8 s	A NAND gate with both inputs tied together forms a NOT gate. Signals animate from left to right, colors indicate logic levels, and the expression $\lnot A$ appears below.
2	NAND as AND	~10 s	Two NAND gates are wired so that the output of the first NAND feeds both inputs of the second, yielding $A \land B$. The intermediate NAND output flashes, then the final output shows the AND result.
3	NAND as OR (De Morgan)	~12 s	Shows the De Morgan construction: each input passes through a NAND‑based NOT, then both NOT outputs feed a NAND to produce $A \lor B$. The transformation is highlighted step‑by‑step, with Boolean formulas $\lnot A$, $\lnot B$, and finally $\lnot(\lnot A \land \lnot B) = A \lor B$.

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Layout

┌─────────────────────────────────────────────┐
│                                             │
│                MAIN (circuit)               │
│                                             │
├─────────────────────────────────────────────┤
│   Caption: Boolean expression for current step│
└─────────────────────────────────────────────┘

Area Descriptions

Area	Content	Notes
Main	Gate symbols (NAND, NOT, AND, OR), wiring lines, animated signal colors	Uses standard IEC‑style NAND symbol; lines are drawn progressively
Caption	Current Boolean expression (e.g., $\lnot A$, $A\land B$, $A\lor B$)	Updated at the start of each phase; persists in footer

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Notes

• Assumptions: total runtime ~30 s; each phase includes a brief pause after the final output stabilizes. The animation is 16:9, so the main area occupies ~85 % of vertical space.
• Signal colors: yellow for logical 1, blue for logical 0; the color of a line changes as the signal propagates.
• Gate and cable drawing are animated with a “draw‑on” effect (line appears gradually).
• Boolean expressions are rendered in LaTeX and appear in the caption band.
• Although the user requested separate classes, the specification consolidates everything into a single Scene to satisfy the one‑Scene constraint; reusable gate and cable functions are assumed to be defined in the code.
• De Morgan steps are highlighted by temporarily emphasizing the intermediate NOT gates before revealing the final OR output.
• No additional on‑screen text beyond the Boolean captions.