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<!DOCTYPE html>
<html>
<head>
<meta charset="UTF-8">
<meta lang="zh-CN">
<title>Karnaugh Map Simplifier</title>
<link rel="stylesheet" href="katex.min.css">
<style>
body { user-select: none; }
.cols { width: 100%; }
.cols div {
display: inline-block;
vertical-align: top;
}
button {
height: 30px;
}
.karnaugh { border: none; }
.karnaugh td {
padding: 0;
border: none;
text-align: center;
}
.karnaugh button {
width: 50px;
height: 50px;
border: none;
font-size: 1em;
}
.truth {
margin: auto;
border-collapse: collapse;
}
.truth td {
width: 40px;
height: 30px;
border: 1px solid gray;
text-align: center;
}
.truth button {
width: 40px;
height: 30px;
border: none;
font-size: 1em;
}
.cell-0 { background-color: lightsteelblue; }
.cell-1 { background-color: aquamarine; }
.cell-2 { background-color: khaki; }
.hover { background-color: darksalmon; }
.hover button { background-color: darksalmon; }
.term:hover { background-color: lightsalmon; }
</style>
</head>
<body>
<h2>K-MAP <small>by Gopinath Padhy</small></h2>
<ul>
<li>Click the truth value on the right side of the truth table below or the cell on the K-Map to change the minterm state；</li>
<ul>
<li><span class="cell-0"> </span> $0$ / Zeros</li>
<li><span class="cell-1"> </span> $1$ / Ones</li>
<li><span class="cell-2"> </span> $\varphi$ / Don't Care</li>
</ul>
<li>Move the mouse over a term/factor of the expression to<span class="hover"> </span> highlight the row in the truth table corresponding to the corresponding minimum term, and the cell on the Karnaugh map.</li>
<ul>
<li> The "corresponding minimum term" refers to the minimum term included in the item in the SOP, or the minimum term not included in the factor in the POS.</li>
</ul>
<li>The Simplified result obtained by this tool may not be the simplest, especially when there are too many irrelevant items. At this time, reducing the irrelevant items or modifying the setting options may simplify the result to a certain extent.</li>
</ul>
<div class="cols">
<div id="row-1"></div>
<div id="row-2">
<p>
<button id="all-1">Set to all $1$</button>
<button id="all-0">Set to all $0$</button>
<button id="all-2">Set to all $\varphi$</button>
</p>
<ul>
<li>Simplified Way:</li>
<ul>
<li>
<input id="SOP" type="radio" name="exprtype" value="SOP" checked />
<label for="SOP">Sum of Product, SOP</label>
</li>
<li>
<input id="POS" type="radio" name="exprtype" value="POS" />
<label for="POS">Product of Sum, POS</label>
</li>
</ul>
<li>Default Values for Irrelevant Items：</li>
<ul>
<li>
<input id="Care" type="radio" name="caretype" value="true" checked />
<label for="Care">1 (SOP) / 0 (POS)</label>
</li>
<li>
<input id="DontCare" type="radio" name="caretype" value="false" />
<label for="DontCare">0 (SOP) / 1 (POS)</sup></label>
</li>
</ul>
<li>Simplification Algorithm:</li>
<ul>
<li>
<input id="QM" type="radio" name="algotype" value="QM" />
<label for="QM">Quine-McCluskey Algorithm</label>
</li>
<li>
<input id="QMP" type="radio" name="algotype" value="QMP" checked />
<label for="QMP">Quine-McCluskey Algorithm + Prime Table Simplification</label>
</li>
</ul>
</ul>
<p>Simplified Expression:<span id='result'></span></p>
</div>
</div>
</body>
<script src="karnaugh.js"></script>
<script src="katex.min.js"></script>
<script src="auto-render.min.js"></script>
<script>
// introduce
document.addEventListener("DOMContentLoaded", function() {
renderMathInElement(document.body, {
delimiters: [
{left: '$', right: '$', display: false}
],
throwOnError : false
});
});
// default setting
let kar = new karnaugh();
let cells = [0, 1, 3, 2, 4, 5, 7, 6, 12, 13, 15, 14, 8, 9, 11, 10];
let cols = ["\\bar C\\bar D", "\\bar CD", "CD", "C\\bar D"];
let rows = ["\\bar A\\bar B","\\bar AB", "AB", "A\\bar B"];
let truthValue = ["0", "1", "\\varphi"];
let status = new Array();
for (i in cells)
status[i] = 0;
// setting item
let POS = false;
let Care = true;
let Prim = true;
// generate page content
// k-map Table
let ktable = "<table class='karnaugh'><tr><td></td>";
for (let i of cols)
ktable += `<td>$${i}$</td>`;
for (let i = 0; i < 4; i ++) {
ktable += `</tr><tr><td>$${rows[i]}$</td>`;
for (let j = 0; j < 4; j ++)
ktable += `<td><button class="cell-0" id="${cells[i * 4 + j]}">$m_{${cells[i * 4 + j]}}$</button></td>`;
}
ktable += "</tr></table>";
// truth table
let ttable = "<table class='truth'><tr><th></th>";
for (let i = 0; i < 4; i ++)
ttable += `<th>$${kar.chars[i]}$</th>`;
ttable += "<th>Truth Table</th>";
for (let i = 0; i < 16; i ++) {
ttable += `</tr><tr class="truth-row"><td>$m_{${i}}$</td>`;
let bits = kar.binaryify(i);
for (let j = 0; j < 4; j ++)
ttable += `<td>$${bits[j]}$</td>`;
ttable += `<td><button class="cell-0" id="r-${i}">$0$</button></td>`;
}
ttable += "</tr></table>";
// action button
document.getElementById("row-1").innerHTML = ttable;
document.getElementById("row-2").innerHTML = ktable + document.getElementById("row-2").innerHTML;
for (let i = 0; i < 3; i ++) {
document.getElementById(`all-${i}`).addEventListener("click", () => {
for (let j = 0; j < 16; j ++)
change(j, i);
update();
});
}
for (let i = 0; i < 16; i ++) {
let event = () => {
change(i, (status[i] + 1) % 3);
update();
};
document.getElementById(`${i}`).addEventListener("click", event);
document.getElementById(`r-${i}`).addEventListener("click", event);
}
function change(index, state) {
status[index] = state;
document.getElementById(`${index}`).classList = `cell-${state}`;
document.getElementById(`r-${index}`).classList = `cell-${state}`;
katex.render(
`${truthValue[state]}`,
document.getElementById(`r-${index}`), {
throwOnError: false
});
}
document.getElementById("SOP").addEventListener("click", function () {
if (this.checked) { POS = false; update(); }
});
document.getElementById("POS").addEventListener("click", function () {
if (this.checked) { POS = true; update(); }
});
document.getElementById("Care").addEventListener("click", function () {
if (this.checked) { Care = true; update(); }
});
document.getElementById("DontCare").addEventListener("click", function () {
if (this.checked) { Care = false; update(); }
});
document.getElementById("QM").addEventListener("click", function () {
if (this.checked) { Prim = false; update(); }
});
document.getElementById("QMP").addEventListener("click", function () {
if (this.checked) { Prim = true; update(); }
});
function update() {
let ones = new Set();
let dontcares = new Set();
for (let i = 0; i < status.length; i ++) {
if (POS && status[i] == 0) ones.add(i);
if (!POS && status[i] == 1) ones.add(i);
if (Care && status[i] == 2) dontcares.add(i);
}
// Render Expression
let terms;
if (Prim) terms = kar.simplify_prime(ones, dontcares);
else terms = kar.simplify(ones, dontcares);
document.getElementById("result").innerHTML = "";
if (terms.length == 0) {
document.getElementById("result").innerHTML = '<span class="term" id="t-" data=""></span>'
katex.render(POS ? "1" : "0", document.getElementById("t-"), {
throwOnError: false
});
} else terms.forEach((item, index) => {
document.getElementById("result").innerHTML +=
`<span class="term" id="t-${item}" data="${item}"></span>`;
let termDom = document.getElementById(`t-${item}`);
katex.render(
POS ? ((index > 0 ? "\\cdot" : "") + kar.termify_POS(item)) :
((index > 0 ? "+" : "") + kar.termify(item)),
termDom, {
throwOnError: false
}
);
});
// Set "highlight" event
let doms = document.getElementsByClassName("term");
for (let i = 0; i < doms.length; i ++) {
doms[i].addEventListener("mouseover", function () {
let terms = kar.minimumTermify(this.getAttribute("data"));
terms.forEach(term => {
document.getElementById(term).classList.add("hover");
document.getElementsByClassName("truth-row")[term].classList.add("hover");
});
});
doms[i].addEventListener("mouseout", function () {
let terms = kar.minimumTermify(this.getAttribute("data"));
terms.forEach(term => {
document.getElementById(term).classList.remove("hover");
document.getElementsByClassName("truth-row")[term].classList.remove("hover");
});
});
}
}
</script>
</html>