{"id":5515,"date":"2025-09-01T11:00:43","date_gmt":"2025-09-01T11:00:43","guid":{"rendered":"https:\/\/sigfigcalculator.io\/?page_id=5515"},"modified":"2025-10-01T11:01:06","modified_gmt":"2025-10-01T11:01:06","slug":"decimal-to-binary-calculator","status":"publish","type":"page","link":"https:\/\/sigfigcalculator.io\/decimal-to-binary-calculator\/","title":{"rendered":"Decimal to Binary Calculator \u2013 Fast Number Converter"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"5515\" class=\"elementor elementor-5515\">\n\t\t\t\t<div class=\"elementor-element elementor-element-404515cd e-con-full e-flex e-con e-parent\" data-id=\"404515cd\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-16a169ef elementor-widget elementor-widget-shortcode\" data-id=\"16a169ef\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"shortcode.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-shortcode\"><!-- Start of Decimal to Inches Calculator Component -->\r\n<div class=\"d2i-container\">\r\n\r\n    <!-- The CSS and Fonts are embedded here -->\r\n    <style>\r\n        @import url('https:\/\/fonts.googleapis.com\/css2?family=Poppins:wght@400;500;600;700;800&family=Fira+Code:wght@500&display=swap');\r\n\r\n        \/* -------------------------- *\/\r\n        \/* --- CSS Custom Properties (\"Digital Caliper\" Palette) --- *\/\r\n        \/* -------------------------- *\/\r\n        .d2i-container {\r\n            --d2i-bg: #F9FAFB;\r\n            --d2i-card-bg: rgba(255, 255, 255, 0.7);\r\n            --d2i-text-primary: #111827;\r\n            --d2i-text-secondary: #6B7280;\r\n            --d2i-accent-1: #92400E; \/* Machined Bronze *\/\r\n            --d2i-accent-2: #4338CA; \/* Deep Indigo for secondary *\/\r\n            --d2i-border-color: #E5E7EB;\r\n            --d2i-font-family: 'Poppins', sans-serif;\r\n            --d2i-font-mono: 'Fira Code', monospace;\r\n            --d2i-card-radius: 20px;\r\n            --d2i-shadow: 0px 20px 50px rgba(181, 185, 213, 0.4);\r\n        }\r\n\r\n        \/* -------------------------- *\/\r\n        \/* --- Base & Reset --- *\/\r\n        \/* -------------------------- *\/\r\n        .d2i-container * { box-sizing: border-box; margin: 0; padding: 0; font-family: var(--d2i-font-family); }\r\n        .d2i-container { background: linear-gradient(90deg, rgb(210 213 163) 0%, rgb(199 211 255) 100%); color: var(--d2i-text-primary); padding: 60px 20px; width: 100%; }\r\n        \r\n        \/* -------------------------- *\/\r\n        \/* --- Layout & Header --- *\/\r\n        \/* -------------------------- *\/\r\n        .d2i-container .d2i-wrapper { max-width: 1160px; margin: 0 auto; }\r\n        .d2i-container .d2i-header { text-align: center; margin-bottom: 40px; }\r\n        .d2i-container .d2i-title { font-size: 2.8rem; font-weight: 800; color: var(--d2i-text-primary); margin-bottom: 12px; }\r\n        .d2i-container .d2i-subtitle { font-size: 1.1rem; color: var(--d2i-text-secondary); max-width: 650px; margin: 0 auto; line-height: 1.6; }\r\n\r\n        \/* -------------------------- *\/\r\n        \/* --- Two-Panel Dashboard & Equal Height --- *\/\r\n        \/* -------------------------- *\/\r\n        .d2i-container .d2i-dashboard { display: grid; grid-template-columns: 1fr 1fr; gap: 24px; align-items: stretch; }\r\n        .d2i-container .d2i-panel {\r\n    background: rgb(247 247 247 \/ 28%);\r\n    backdrop-filter: blur(20px);\r\n    -webkit-backdrop-filter: blur(20px);\r\n    border: 1px solid #ffffff69;\r\n    border-radius: 10px;\r\n    padding: 32px;\r\n    box-shadow: var(--d2i-shadow);\r\n    display: flex\r\n;\r\n    flex-direction: column;\r\n        }\r\n        .d2i-container .d2i-panel-title { font-size: 1.25rem; font-weight: 700; color: var(--d2i-text-primary); margin-bottom: 24px; }\r\n        \r\n        \/* Input Panel *\/\r\n        .d2i-container .d2i-input-content { flex-grow: 1; display: flex; flex-direction: column; justify-content: center; }\r\n        .d2i-container .d2i-input-group label { display: block; margin-bottom: 8px; font-size: 0.9rem; font-weight: 500; color: var(--d2i-text-secondary); }\r\n\t\t\t.d2i-container .d2i-input {\r\n\t\t\t\t\r\n\t\t\t\t    width: 100%;\r\n    padding: 12px 16px;\r\n    background-color: #c5b3b321;\r\n    border: 1px solid #fbfbfb66;\r\n    border-radius: 10px;\r\n    font-family: var(--d2i-font-mono);\r\n    font-size: 1.5rem;\r\n    text-align: center;\r\n    color: var(--d2i-text-primary);\r\n\t\t\t\t\r\n\t\t\t}\r\n        .d2i-container .d2i-input:focus { outline: none; border-color: var(--d2i-accent-2); box-shadow: 0 0 0 3px rgba(67, 56, 202, 0.2); }\r\n        .d2i-container .d2i-slider { width: 100%; -webkit-appearance: none; background: transparent; margin: 12px 0; }\r\n        .d2i-container .d2i-slider::-webkit-slider-runnable-track { height: 6px; background: var(--d2i-border-color); border-radius: 3px; }\r\n        .d2i-container .d2i-slider::-webkit-slider-thumb { -webkit-appearance: none; height: 18px; width: 18px; background: var(--d2i-accent-2); border-radius: 50%; border: 3px solid var(--d2i-card-bg); margin-top: -6px; cursor: pointer; }\r\n\r\n    .d2i-container .d2i-precision-selector {     \r\n\t\tdisplay: grid;\r\n    grid-template-columns: repeat(5, 1fr);\r\n    background: #b9b9b936;\r\n    border-radius: 10px;\r\n    padding: 15px;\r\n    margin-top: 24px;\r\n    gap: 8px; \r\n\t\t\t}\r\n\t\t\t\r\n        .d2i-container .d2i-precision-btn { padding: 8px; border: none; background: #6969691f; font-size: 0.9rem; font-weight: 600; color: var(--d2i-text-secondary); cursor: pointer; border-radius: 8px; transition: all 0.3s ease; }\r\n        .d2i-container .d2i-precision-btn.is-active { background: var(--d2i-accent-2); color: white; box-shadow: 0 4px 10px rgba(67, 56, 202, 0.2); }\r\n\r\n        .d2i-container .d2i-clear-btn-wrapper { margin-top: auto; padding-top: 24px; border-top: 1px solid var(--d2i-border-color); }\r\n        .d2i-container .d2i-clear-btn { padding: 12px; width: 100%; font-size: 1rem; font-weight: 700; border-radius: 12px; cursor: pointer; transition: all 0.1s ease-out; transform: translateY(-3px); background-color: #E5E7EB; color: var(--d2i-text-secondary); border: none; box-shadow: 0 3px 0 0 #D1D5DB; }\r\n        \r\n        \/* -------------------------- *\/\r\n        \/* --- Results Panel --- *\/\r\n        \/* -------------------------- *\/\r\n        .d2i-container .d2i-analysis-content { flex-grow: 1; display: flex; flex-direction: column; align-items: center; justify-content: space-between; }\r\n        .d2i-container .d2i-main-result-display { text-align: center; }\r\n        .d2i-container .d2i-main-result-display .label { font-size: 1.1rem; color: var(--d2i-text-secondary); }\r\n        .d2i-container .d2i-main-result-display .value { font-size: 4rem; font-weight: 700; color: var(--d2i-text-primary); line-height: 1.1; }\r\n        .d2i-container .d2i-main-result-display .fraction { font-size: 3rem; font-family: var(--d2i-font-mono); color: var(--d2i-accent-1); }\r\n        .d2i-container .d2i-main-result-display .fraction sup, .d2i-container .d2i-main-result-display .fraction sub { font-size: 1.8rem; line-height: 0; }\r\n        \r\n        .d2i-container .d2i-ruler-container { width: 100%; margin: 24px 0; }\r\n        .d2i-container .d2i-ruler-svg { width: 100%; overflow: visible; }\r\n        .d2i-container .d2i-ruler-svg .line { stroke: var(--d2i-text-primary); stroke-width: 1.5; }\r\n        .d2i-container .d2i-ruler-svg .tick { stroke: var(--d2i-text-secondary); stroke-width: 1; }\r\n        .d2i-container .d2i-ruler-svg .label { font-size: 10px; fill: var(--d2i-text-secondary); text-anchor: middle; }\r\n        .d2i-container #d2i-ruler-marker { transition: transform 0.5s cubic-bezier(0.65, 0, 0.35, 1); }\r\n        .d2i-container #d2i-ruler-marker path { fill: var(--d2i-accent-1); }\r\n        .d2i-container #d2i-ruler-marker line { stroke: var(--d2i-accent-1); stroke-width: 2; }\r\n        \r\n        .d2i-container .d2i-breakdown-grid { display: grid; grid-template-columns: 1fr 1fr; gap: 16px; width: 100%; text-align: center; }\r\n        .d2i-container .d2i-breakdown-card { background: #edededa3; padding: 16px; border-radius: 12px; }\r\n        .d2i-container .d2i-breakdown-card .label { font-size: 0.9rem; color: var(--d2i-text-secondary); }\r\n        .d2i-container .d2i-breakdown-card .value { font-size: 1.5rem; font-weight: 600; color: var(--d2i-text-primary); font-family: var(--d2i-font-mono); }\r\n        \r\n        \/* --- RESPONSIVE DESIGN --- *\/\r\n        @media (max-width: 1024px) { \/* Base 1160px is fine *\/ }\r\n        @media (max-width: 768px) { .d2i-container .d2i-dashboard { grid-template-columns: 1fr; } .d2i-container .d2i-analysis-panel { margin-top: 24px; } }\r\n        @media (max-width: 576px) { .d2i-container { padding: 50px 15px; } .d2i-container .d2i-header { margin-bottom: 30px; } .d2i-container .d2i-title { font-size: 2.2rem; } .d2i-container .d2i-panel { padding: 24px; } .d2i-container .d2i-main-result-display .value { font-size: 3rem; } .d2i-container .d2i-main-result-display .fraction { font-size: 2.2rem; } .d2i-container .d2i-precision-selector { grid-template-columns: repeat(3, 1fr); } }\r\n        @media (max-width: 480px) { .d2i-container .d2i-title { font-size: 2rem; } .d2i-container .d2i-breakdown-grid { grid-template-columns: 1fr; } .d2i-container .d2i-precision-selector { grid-template-columns: repeat(2, 1fr); } }\r\n        @media (max-width: 375px) { .d2i-container .d2i-main-result-display .value { font-size: 2.5rem; } }\r\n    <\/style>\r\n\r\n    <div class=\"d2i-wrapper\">\r\n        <header class=\"d2i-header\">\r\n            <h1 class=\"d2i-title\">Decimal to Binary Calculator<\/h1>\r\n            <p class=\"d2i-subtitle\">Instantly convert any decimal into a precise inch fraction with our real-time, interactive dashboard.<\/p>\r\n        <\/header>\r\n\r\n        <div class=\"d2i-dashboard\">\r\n            <div class=\"d2i-panel d2i-input-panel\">\r\n                <h2 class=\"d2i-panel-title\">Measurement Input<\/h2>\r\n                <div class=\"d2i-input-content\">\r\n                    <div class=\"d2i-input-group\">\r\n                        <label for=\"d2i-decimal-input\">Enter Decimal (Inches)<\/label>\r\n                        <input type=\"number\" id=\"d2i-decimal-input\" class=\"d2i-input\" value=\"1.75\" step=\"0.01\">\r\n                        <input type=\"range\" id=\"d2i-decimal-slider\" class=\"d2i-slider\" min=\"0\" max=\"12\" step=\"0.0625\" value=\"1.75\">\r\n                    <\/div>\r\n                     <div class=\"d2i-input-group\">\r\n                        <label>Precision<\/label>\r\n                         <div class=\"d2i-precision-selector\">\r\n                            <button class=\"d2i-precision-btn\" data-d=\"4\">1\/4\"<\/button>\r\n                            <button class=\"d2i-precision-btn\" data-d=\"8\">1\/8\"<\/button>\r\n                            <button class=\"d2i-precision-btn is-active\" data-d=\"16\">1\/16\"<\/button>\r\n                            <button class=\"d2i-precision-btn\" data-d=\"32\">1\/32\"<\/button>\r\n                            <button class=\"d2i-precision-btn\" data-d=\"64\">1\/64\"<\/button>\r\n                         <\/div>\r\n                    <\/div>\r\n                <\/div>\r\n                 <div class=\"d2i-clear-btn-wrapper\"><button id=\"d2i-clear-btn\" class=\"d2i-clear-btn\">Clear<\/button><\/div>\r\n            <\/div>\r\n            <div class=\"d2i-panel d2i-analysis-panel\">\r\n                <h2 class=\"d2i-panel-title\">Measurement Analysis<\/h2>\r\n                <div class=\"d2i-analysis-content\">\r\n                    <div class=\"d2i-main-result-display\">\r\n                        <div class=\"label\">Inch Fraction<\/div>\r\n                        <div id=\"d2i-fraction-value\" class=\"value\">0<\/div>\r\n                    <\/div>\r\n                    <div class=\"d2i-ruler-container\">\r\n                        <svg class=\"d2i-ruler-svg\" viewBox=\"0 0 400 60\">\r\n                           <line class=\"line\" x1=\"0\" y1=\"30\" x2=\"400\" y2=\"30\"\/>\r\n                           <g id=\"d2i-ruler-ticks\"><\/g>\r\n                           <g id=\"d2i-ruler-marker\" transform=\"translate(0, 0)\">\r\n                               <path d=\"M 0 0 L 10 10 L -10 10 Z\" \/>\r\n                               <line x1=\"0\" y1=\"10\" x2=\"0\" y2=\"30\" \/>\r\n                           <\/g>\r\n                        <\/svg>\r\n                    <\/div>\r\n                    <div class=\"d2i-breakdown-grid\">\r\n                        <div class=\"d2i-breakdown-card\"><div class=\"label\">Whole Inches<\/div><div id=\"d2i-whole-breakdown\" class=\"value\">0<\/div><\/div>\r\n                        <div class=\"d2i-breakdown-card\"><div class=\"label\">Fractional Part<\/div><div id=\"d2i-fraction-breakdown\" class=\"value\">0\/1<\/div><\/div>\r\n                    <\/div>\r\n                 <\/div>\r\n            <\/div>\r\n        <\/div>\r\n    <\/div>\r\n\r\n    <script>\r\n    document.addEventListener('DOMContentLoaded', () => {\r\n        const container = document.querySelector('.d2i-container');\r\n        if (container.hasAttribute('data-d2i-initialized')) return;\r\n        container.setAttribute('data-d2i-initialized', 'true');\r\n\r\n        const decimalInput = document.getElementById('d2i-decimal-input');\r\n        const decimalSlider = document.getElementById('d2i-decimal-slider');\r\n        const precisionBtns = document.querySelectorAll('.d2i-precision-btn');\r\n        const clearBtn = document.getElementById('d2i-clear-btn');\r\n        const fractionValueEl = document.getElementById('d2i-fraction-value');\r\n        const rulerTicks = document.getElementById('d2i-ruler-ticks');\r\n        const rulerMarker = document.getElementById('d2i-ruler-marker');\r\n        const wholeBreakdownEl = document.getElementById('d2i-whole-breakdown');\r\n        const fractionBreakdownEl = document.getElementById('d2i-fraction-breakdown');\r\n        \r\n        let activeDenominator = 16;\r\n        const RULER_WIDTH = 400;\r\n\r\n        const gcd = (a, b) => b ? gcd(b, a % b) : a;\r\n        \r\n        const decimalToFraction = (decimal, maxDenominator) => {\r\n            const whole = Math.floor(decimal);\r\n            const frac = decimal - whole;\r\n            if (frac === 0) return { whole, n: 0, d: 1 };\r\n            const n = Math.round(frac * maxDenominator);\r\n            const d = maxDenominator;\r\n            const commonDivisor = gcd(n, d);\r\n            return { whole, n: n \/ commonDivisor, d: d \/ commonDivisor };\r\n        };\r\n\r\n        const analyze = () => {\r\n            const decimalValue = parseFloat(decimalInput.value) || 0;\r\n            const fraction = decimalToFraction(decimalValue, activeDenominator);\r\n            \r\n            \/\/ Display Results\r\n            let fractionHTML = '';\r\n            if (fraction.whole > 0) fractionHTML += `${fraction.whole} `;\r\n            if (fraction.n > 0) fractionHTML += `<span class=\"fraction\"><sup>${fraction.n}<\/sup>\/<sub>${fraction.d}<\/sub><\/span>`;\r\n            if (fraction.whole === 0 && fraction.n === 0) fractionHTML = '0';\r\n            fractionValueEl.innerHTML = `${fractionHTML}\"`;\r\n            \r\n            wholeBreakdownEl.textContent = fraction.whole;\r\n            fractionBreakdownEl.textContent = `${fraction.n}\/${fraction.d}`;\r\n\r\n            \/\/ Update Ruler\r\n            const markerPos = (decimalValue % 1) * RULER_WIDTH; \/\/ Position within the 1-inch segment\r\n            rulerMarker.style.transform = `translateX(${markerPos}px)`;\r\n        };\r\n        \r\n        const generateRulerTicks = (denominator) => {\r\n            rulerTicks.innerHTML = '';\r\n            for (let i = 0; i <= denominator; i++) {\r\n                const x = (i \/ denominator) * RULER_WIDTH;\r\n                let height = 5;\r\n                if (i % (denominator \/ 2) === 0) height = 15;\r\n                else if (i % (denominator \/ 4) === 0) height = 10;\r\n                \r\n                const tick = document.createElementNS('http:\/\/www.w3.org\/2000\/svg', 'line');\r\n                tick.setAttribute('class', 'tick');\r\n                tick.setAttribute('x1', x); tick.setAttribute('y1', 30);\r\n                tick.setAttribute('x2', x); tick.setAttribute('y2', 30 - height);\r\n                rulerTicks.appendChild(tick);\r\n                \r\n                if (i === 0) {\r\n                     const label = document.createElementNS('http:\/\/www.w3.org\/2000\/svg', 'text');\r\n                     label.setAttribute('class', 'label');\r\n                     label.setAttribute('x', x); label.setAttribute('y', 55);\r\n                     label.textContent = '0\"';\r\n                     rulerTicks.appendChild(label);\r\n                }\r\n                 if (i === denominator) {\r\n                     const label = document.createElementNS('http:\/\/www.w3.org\/2000\/svg', 'text');\r\n                     label.setAttribute('class', 'label');\r\n                     label.setAttribute('x', x); label.setAttribute('y', 55);\r\n                     label.textContent = '1\"';\r\n                     rulerTicks.appendChild(label);\r\n                }\r\n            }\r\n        };\r\n        \r\n        const syncInputs = (source) => {\r\n            if (source === decimalInput) decimalSlider.value = decimalInput.value;\r\n            else if (source === decimalSlider) decimalInput.value = decimalSlider.value;\r\n            analyze();\r\n        };\r\n\r\n        const reset = () => { decimalInput.value = '1.75'; syncInputs(decimalInput); };\r\n        \r\n        \/\/ Event Listeners\r\n        decimalInput.addEventListener('input', () => syncInputs(decimalInput));\r\n        decimalSlider.addEventListener('input', () => syncInputs(decimalSlider));\r\n        clearBtn.addEventListener('click', () => { decimalInput.value = ''; syncInputs(decimalInput); });\r\n\r\n        precisionBtns.forEach(btn => {\r\n            btn.addEventListener('click', () => {\r\n                precisionBtns.forEach(b => b.classList.remove('is-active'));\r\n                btn.classList.add('is-active');\r\n                activeDenominator = parseInt(btn.dataset.d);\r\n                generateRulerTicks(activeDenominator);\r\n                analyze();\r\n            });\r\n        });\r\n        \r\n        \/\/ Init\r\n        generateRulerTicks(activeDenominator);\r\n        analyze();\r\n    });\r\n    <\/script>\r\n<\/div>\r\n<!-- End of Decimal to Inches Calculator Component --><\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"","protected":false},"author":4,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"template-homepage.php","meta":{"footnotes":""},"class_list":["post-5515","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.7 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Decimal to Binary Calculator \u2013 Fast Number Converter - SigFig Calculator<\/title>\n<meta name=\"description\" content=\"Convert decimal numbers to binary instantly. Free online tool for math, coding, and computer science practice.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/sigfigcalculator.io\/decimal-to-binary-calculator\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Decimal to Binary Calculator \u2013 Fast Number Converter - SigFig Calculator\" \/>\n<meta property=\"og:description\" content=\"Convert decimal numbers to binary instantly. Free online tool for math, coding, and computer science practice.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/sigfigcalculator.io\/decimal-to-binary-calculator\/\" \/>\n<meta property=\"og:site_name\" content=\"SigFig Calculator\" \/>\n<meta property=\"article:modified_time\" content=\"2025-10-01T11:01:06+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/sigfigcalculator.io\\\/decimal-to-binary-calculator\\\/\",\"url\":\"https:\\\/\\\/sigfigcalculator.io\\\/decimal-to-binary-calculator\\\/\",\"name\":\"Decimal to Binary Calculator \u2013 Fast Number Converter - SigFig Calculator\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/sigfigcalculator.io\\\/#website\"},\"datePublished\":\"2025-09-01T11:00:43+00:00\",\"dateModified\":\"2025-10-01T11:01:06+00:00\",\"description\":\"Convert decimal numbers to binary instantly. 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