denary to binary
This commit is contained in:
@@ -1,7 +1,12 @@
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{
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"permissions": {
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"allow": [
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"Bash(cd \"C:/Users/earl_/source/repos/CabritsMath/cabrits-math\" && npx next build 2>&1 | tail -80)"
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"Bash(cd \"C:/Users/earl_/source/repos/CabritsMath/cabrits-math\" && npx next build 2>&1 | tail -80)",
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"Bash(npx tsc *)",
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"Bash(echo \"TSC_EXIT=$?\")",
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"Bash(npx eslint *)",
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"Bash(echo \"LINT_EXIT=$?\")",
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"Bash(npx next *)"
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]
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}
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}
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@@ -1,9 +1,20 @@
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"use client";
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import { useState } from "react";
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import { Breadcrumbs } from "@/components/layout/breadcrumbs";
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import { BinaryConverterExplorer } from "@/components/explorers/binary-converter-explorer";
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import { DenaryToBinaryExplorer } from "@/components/explorers/denary-to-binary-explorer";
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type Mode = "binary-to-denary" | "denary-to-binary";
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const MODES: { key: Mode; label: string }[] = [
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{ key: "binary-to-denary", label: "Binary → Denary" },
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{ key: "denary-to-binary", label: "Denary → Binary" },
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];
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export default function BinaryPage() {
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const [mode, setMode] = useState<Mode>("binary-to-denary");
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return (
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<div className="space-y-8">
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<Breadcrumbs
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@@ -15,11 +26,39 @@ export default function BinaryPage() {
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/>
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<div>
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<h1 className="text-3xl font-bold tracking-tight">Binary → Decimal Converter</h1>
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<p className="mt-2 text-muted">Same shape, different base — explore place value in powers of 2.</p>
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<h1 className="text-3xl font-bold tracking-tight">
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{mode === "binary-to-denary"
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? "Binary → Denary Converter"
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: "Denary → Binary Converter"}
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</h1>
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<p className="mt-2 text-muted">
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{mode === "binary-to-denary"
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? "Same shape, different base — explore place value in powers of 2."
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: "Divide by 2. Track the remainder. Read bottom-up."}
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</p>
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</div>
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<div className="flex flex-wrap gap-2">
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{MODES.map((m) => (
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<button
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key={m.key}
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onClick={() => setMode(m.key)}
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className={`rounded-full border-2 px-4 py-2 text-sm font-semibold transition-colors ${
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mode === m.key
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? "border-unit-6 bg-unit-6 text-white"
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: "border-unit-6/40 text-unit-6 hover:bg-unit-6-light"
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}`}
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>
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{m.label}
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</button>
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))}
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</div>
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{mode === "binary-to-denary" ? (
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<BinaryConverterExplorer />
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) : (
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<DenaryToBinaryExplorer />
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)}
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</div>
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);
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}
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368
components/explorers/denary-to-binary-explorer.tsx
Normal file
368
components/explorers/denary-to-binary-explorer.tsx
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@@ -0,0 +1,368 @@
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"use client";
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import { useState, useMemo, useCallback } from "react";
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import { Card } from "@/components/ui/card";
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const COLUMNS = [32, 16, 8, 4, 2, 1];
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const PRESETS = [3, 5, 11, 13, 22, 25, 29, 31, 45, 58];
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interface DivisionRow {
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before: number;
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quotient: number;
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remainder: number;
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}
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interface ConversionResult {
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rows: DivisionRow[];
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bitsLowToHigh: number[];
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}
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function runDivision(n: number): ConversionResult {
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const rows: DivisionRow[] = [];
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if (n === 0) {
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rows.push({ before: 0, quotient: 0, remainder: 0 });
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return { rows, bitsLowToHigh: [0] };
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}
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let current = n;
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while (current > 0) {
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const q = Math.floor(current / 2);
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const r = current % 2;
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rows.push({ before: current, quotient: q, remainder: r });
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current = q;
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}
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return { rows, bitsLowToHigh: rows.map((r) => r.remainder) };
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}
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function bitsForChart(bitsLowToHigh: number[]): (number | null)[] {
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const out: (number | null)[] = Array(COLUMNS.length).fill(null);
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for (let i = 0; i < bitsLowToHigh.length && i < COLUMNS.length; i++) {
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out[COLUMNS.length - 1 - i] = bitsLowToHigh[i];
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}
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return out;
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}
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export function DenaryToBinaryExplorer() {
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const [input, setInput] = useState("");
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const [submitted, setSubmitted] = useState<number | null>(null);
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const [error, setError] = useState("");
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const [answerHidden, setAnswerHidden] = useState(false);
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const [chartHidden, setChartHidden] = useState(false);
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const handleInputChange = (value: string) => {
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setInput(value.replace(/[^0-9]/g, "").slice(0, 3));
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setError("");
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};
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const convert = useCallback((raw?: string) => {
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const source = (raw ?? input).trim();
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if (source === "") {
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setError("Type a denary number first (whole number from 1 to 63).");
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setSubmitted(null);
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return;
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}
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if (!/^\d+$/.test(source)) {
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setError("Use whole digits only (0-9).");
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return;
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}
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const n = parseInt(source, 10);
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if (n < 0 || n > 63) {
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setError("Pick a whole number between 1 and 63. The chart in this lesson is six columns: 32, 16, 8, 4, 2, 1.");
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return;
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}
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setError("");
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setSubmitted(n);
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}, [input]);
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const applyPreset = (value: number) => {
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setInput(String(value));
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convert(String(value));
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};
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const handleClear = () => {
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setInput("");
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setSubmitted(null);
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setError("");
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};
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const handleRandom = () => {
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const n = 1 + Math.floor(Math.random() * 63);
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setInput(String(n));
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convert(String(n));
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};
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const result = useMemo(() => {
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if (submitted === null) return null;
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return runDivision(submitted);
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}, [submitted]);
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const chartBits = useMemo(() => {
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if (!result) return Array(COLUMNS.length).fill(null) as (number | null)[];
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return bitsForChart(result.bitsLowToHigh);
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}, [result]);
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const binaryString = useMemo(() => {
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if (!result) return "";
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const reversed = result.bitsLowToHigh.slice().reverse().join("");
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return reversed.replace(/^0+/, "") || "0";
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}, [result]);
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return (
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<div className="space-y-4">
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{/* Input Card */}
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<Card>
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<p className="mb-3 text-xs font-bold uppercase tracking-wider text-unit-6">
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Type a Denary Number (1 to 63)
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</p>
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<div className="flex flex-wrap items-center gap-3">
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<label htmlFor="denaryInput" className="text-sm font-bold text-unit-6-dark">
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Denary:
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</label>
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<input
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id="denaryInput"
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type="text"
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inputMode="numeric"
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maxLength={3}
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autoComplete="off"
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spellCheck={false}
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placeholder="e.g. 13"
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value={input}
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onChange={(e) => handleInputChange(e.target.value)}
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onKeyDown={(e) => {
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if (e.key === "Enter") convert();
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}}
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className="w-32 rounded-lg border-2 border-unit-6 bg-surface px-3 py-2 text-center font-mono text-2xl font-bold tracking-[0.3em] text-unit-6 outline-none focus:border-unit-6-dark"
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aria-label="Denary number input"
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/>
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<button
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onClick={() => convert()}
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className="rounded-lg bg-unit-6 px-5 py-2.5 text-sm font-bold text-white transition-colors hover:bg-unit-6-dark"
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>
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Convert
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</button>
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<button
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onClick={handleClear}
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className="rounded-lg border-2 border-border bg-surface px-4 py-2 text-sm font-bold text-muted transition-colors hover:border-unit-6/50 hover:text-unit-6"
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>
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Clear
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</button>
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<button
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onClick={handleRandom}
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className="rounded-lg border-2 border-border bg-surface px-4 py-2 text-sm font-bold text-muted transition-colors hover:border-unit-6/50 hover:text-unit-6"
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>
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Random
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</button>
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</div>
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<div className="mt-4 flex flex-wrap gap-2">
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{PRESETS.map((p) => (
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<button
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key={p}
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onClick={() => applyPreset(p)}
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className="rounded-lg border-2 border-unit-6/30 bg-unit-6-light px-3 py-1 font-mono text-sm font-bold text-unit-6-dark transition-colors hover:border-unit-6 hover:bg-unit-6 hover:text-white"
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>
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{p}
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</button>
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))}
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</div>
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{error && (
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<p className="mt-3 rounded-lg border-2 border-incorrect bg-incorrect-light px-3 py-2 text-center text-sm font-bold text-incorrect">
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{error}
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</p>
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)}
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</Card>
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{/* Division steps */}
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<Card>
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<p className="mb-3 text-xs font-bold uppercase tracking-wider text-unit-6">
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Repeated Division by 2
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</p>
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<div className="rounded-xl border-2 border-hint/40 bg-hint-light/50 p-4">
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{!result ? (
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<p className="text-center font-mono text-sm text-muted">
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Type a denary number above and press Convert to see the division table.
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</p>
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) : submitted === 0 ? (
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<p className="text-center font-mono text-base font-bold text-unit-6">
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0 in binary is 0.
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</p>
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) : (
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<div className="overflow-x-auto">
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<table className="mx-auto min-w-[380px] border-collapse font-mono text-sm">
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<thead>
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<tr>
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{["Step", "n ÷ 2", "Quotient", "Remainder", ""].map((h, i) => (
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<th
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key={i}
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className={
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i === 4
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? "px-3 py-2 text-left"
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: "border-2 border-unit-6/40 bg-unit-6-light px-4 py-2 text-xs font-bold uppercase tracking-wide text-unit-6-dark"
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}
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>
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{h}
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</th>
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))}
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</tr>
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</thead>
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<tbody>
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{result.rows.map((row, idx) => (
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<tr key={idx}>
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<td className="border-2 border-unit-6/40 bg-surface px-4 py-2 text-center font-bold text-unit-6">
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{idx + 1}
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</td>
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<td className="border-2 border-unit-6/40 bg-surface px-4 py-2 text-center text-foreground">
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{row.before} ÷ 2
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</td>
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<td className="border-2 border-unit-6/40 bg-surface px-4 py-2 text-center font-bold text-foreground">
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{row.quotient}
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</td>
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<td className="border-2 border-unit-6/40 bg-correct-light px-4 py-2 text-center text-lg font-extrabold text-correct">
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{row.remainder}
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</td>
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<td className="px-3 py-2 text-left text-sm font-bold italic text-hint">
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{idx === 0
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? "↓ start"
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: idx === result.rows.length - 1
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? "↑ read up"
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: ""}
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</td>
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</tr>
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))}
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<tr>
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<td
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colSpan={5}
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className="border-2 border-unit-6/40 bg-unit-6-light px-4 py-2 text-center text-xs font-bold uppercase tracking-wide text-unit-6-dark"
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>
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Quotient is 0 — stop. Read remainders from bottom to top.
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</td>
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</tr>
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</tbody>
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</table>
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</div>
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)}
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</div>
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<p className="mt-3 text-sm italic text-hint">
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Read the remainders column <strong>from bottom to top</strong>. That string of 0s and 1s is your binary number.
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</p>
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</Card>
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{/* Place value chart */}
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<Card>
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<div className="mb-3 flex flex-wrap items-center justify-between gap-2">
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<p className="text-xs font-bold uppercase tracking-wider text-unit-6">
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Place Value Chart (powers of 2)
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</p>
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<button
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onClick={() => setChartHidden((v) => !v)}
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className="rounded-md border border-border bg-surface px-2.5 py-1 text-xs font-semibold text-muted transition-colors hover:border-unit-6/50 hover:text-unit-6"
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>
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{chartHidden ? "Show Chart" : "Hide Chart"}
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</button>
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</div>
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{!chartHidden && (
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<div className="overflow-x-auto rounded-xl border-2 border-unit-6/30 bg-unit-6-light/40 p-3">
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<table className="mx-auto border-collapse font-mono">
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<tbody>
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<tr>
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{COLUMNS.map((_, idx) => {
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const exp = COLUMNS.length - 1 - idx;
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return (
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<td
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key={`p-${exp}`}
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className="min-w-[64px] border-2 border-unit-6/40 bg-unit-6-light px-4 py-2 text-center text-sm font-bold text-unit-6-dark"
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>
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2<sup>{exp}</sup>
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</td>
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);
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})}
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</tr>
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<tr>
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{COLUMNS.map((v) => (
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<td
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key={`v-${v}`}
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className="min-w-[64px] border-2 border-unit-6/40 bg-surface px-4 py-2 text-center text-base font-bold text-unit-6"
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>
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{v}
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</td>
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))}
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</tr>
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<tr>
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{chartBits.map((b, i) => (
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<td
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key={`d-${i}`}
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className={`min-w-[64px] border-2 border-unit-6/40 px-4 py-2 text-center text-2xl font-extrabold ${
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b === 1
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? "bg-correct-light text-correct"
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: b === 0
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? "bg-surface text-muted"
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: "bg-surface text-muted/60"
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}`}
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>
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{b === null ? "-" : b}
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</td>
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))}
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</tr>
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<tr>
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{chartBits.map((b, i) => (
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<td
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key={`s-${i}`}
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className={`min-w-[64px] border-2 border-unit-6/40 px-4 py-2 text-center text-sm font-bold tracking-wider ${
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b === 1
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? "bg-correct-light text-correct"
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: b === 0
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? "bg-[#fafbfc] text-muted"
|
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: "bg-[#fafbfc] text-muted/60"
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||||
}`}
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||||
>
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||||
{b === null ? "OFF" : b === 1 ? "ON" : "OFF"}
|
||||
</td>
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||||
))}
|
||||
</tr>
|
||||
</tbody>
|
||||
</table>
|
||||
</div>
|
||||
)}
|
||||
</Card>
|
||||
|
||||
{/* Answer banner */}
|
||||
<Card
|
||||
className={`flex min-h-[90px] flex-col items-center justify-center gap-2 text-center ${
|
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submitted !== null && !answerHidden
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? "border-correct bg-correct-light"
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: "border-unit-6/30 bg-unit-6-light/60"
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||||
}`}
|
||||
>
|
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{submitted === null ? (
|
||||
<p className="font-mono text-base font-bold text-unit-6">
|
||||
Type a denary number above and press Convert.
|
||||
</p>
|
||||
) : answerHidden ? (
|
||||
<p className="font-mono text-lg font-bold text-unit-6">
|
||||
{submitted} = ?<sub>2</sub> (press Show Answer)
|
||||
</p>
|
||||
) : (
|
||||
<p className="font-mono text-2xl font-extrabold text-correct">
|
||||
{submitted} = {binaryString}<sub>2</sub> in binary
|
||||
</p>
|
||||
)}
|
||||
<button
|
||||
onClick={() => setAnswerHidden((v) => !v)}
|
||||
className="mt-1 rounded-md border border-border bg-surface px-3 py-1 text-xs font-semibold text-muted transition-colors hover:border-unit-6/50 hover:text-unit-6"
|
||||
>
|
||||
{answerHidden ? "Show Answer" : "Hide Answer"}
|
||||
</button>
|
||||
</Card>
|
||||
|
||||
{/* Footer note */}
|
||||
<Card className="border-l-4 border-l-unit-6 bg-unit-6-light/40">
|
||||
<p className="text-sm text-unit-6-dark">
|
||||
<strong>For students:</strong> solve on paper <em>first</em> using the division table in your worksheet. Type the denary number here only to <em>check</em>. The lesson is in the division and the bottom-up read, not the click.
|
||||
</p>
|
||||
</Card>
|
||||
</div>
|
||||
);
|
||||
}
|
||||
Reference in New Issue
Block a user