{"id":55802,"date":"2015-01-17T08:50:47","date_gmt":"2015-01-17T06:50:47","guid":{"rendered":"http:\/\/wpcalc.com\/?p=55802"},"modified":"2026-09-28T09:15:16","modified_gmt":"2026-09-28T06:15:16","slug":"digital-image-resolution","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/en\/converters\/digital-image-resolution\/","title":{"rendered":"Digital Image Resolution Converter"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">Image DPI, Pixel, and Size Conversion Tool<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"55802\" data-favorite-title=\"Image DPI &amp; Pixel\" data-favorite-url=\"https:\/\/wpcalc.com\/en\/converters\/digital-image-resolution\/\" data-favorite-excerpt=\"Find an image\u2019s print width and height from its pixel dimensions and chosen resolution. Enter the width and height in pixels, set the DPI, and select inches or centimeters.\" aria-label=\"Add to Favorites\" data-favorite-icon=\"icon icon-other\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/en\/converters\/digital-image-resolution\/\" method=\"POST\" class=\"calculator\" id=\"calculator-55802\" data-post=\"55802\"><fieldset class=\"fieldset-input\"><legend class=\"sr-only\">Input Fields<\/legend><div class=\"field has-term\" id=\"input-1\"><label for=\"field-1\">Width in pixels<\/label><div class=\"term\">Wpx<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"width_in_pixels\" id=\"field-1\" aria-describedby=\"calc-info-1\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"1\" value=\"1920\"\/><small id=\"calc-info-1\">Enter image width in pixels<\/small><\/div><div class=\"field has-term\" id=\"input-2\"><label for=\"field-2\">Height in pixels<\/label><div class=\"term\">Hpx<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"height_in_pixels\" id=\"field-2\" aria-describedby=\"calc-info-2\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"1\" value=\"1080\"\/><small id=\"calc-info-2\">Enter image height in pixels<\/small><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-3\">Resolution (DPI)<\/label><div class=\"term\">dpi<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"resolution_dpi\" id=\"field-3\" aria-describedby=\"calc-info-3\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"1\" value=\"300\"\/><small id=\"calc-info-3\">Dots per inch (DPI or PPI) for printing<\/small><\/div><div class=\"field\" id=\"input-4\"><label for=\"field-4\">Output unit<\/label><div class=\"grid grid-cols-1\"><select id=\"field-4\" name=\"output_unit\"><option value=\"in\">Inches<\/option><option value=\"cm\">Centimeters<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Re-Calculate\" id=\"calculate-button\" data-post=\"55802\">Calculate<\/button><button type=\"reset\">Reset<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Calculate automatically<\/label><small>If enabled, the result will update automatically when you change any value.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> Your Results<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>Width<\/span><span class=\"result-term\">w<\/span><\/span><span class=\"field-value\" id=\"result-1\" data-unit=\"\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-2\"><span class=\"field-title\"><span>Height<\/span><span class=\"result-term\">h<\/span><\/span><span class=\"field-value\" id=\"result-2\" data-unit=\"\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Copy link to this calculation<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Leave a Comment<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"55802\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">How did this result make you feel?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Like <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Helpful <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Confused <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Disappointed <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Inaccurate <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>Image DPI &amp; Pixel Formula<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Formula<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[ \\begin{aligned} w_{\\mathrm{in}} &amp;= \\frac{W_{\\mathrm{px}}}{r} &amp; h_{\\mathrm{in}} &amp;= \\frac{H_{\\mathrm{px}}}{r} \\\\ w_{\\mathrm{cm}} &amp;= 2.54w_{\\mathrm{in}} &amp; h_{\\mathrm{cm}} &amp;= 2.54h_{\\mathrm{in}} \\end{aligned} \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Where:<\/strong><\/p>\n<ul>\n<li>\\(W_{\\mathrm{px}}\\) and \\(H_{\\mathrm{px}}\\) \u2014 image width and height in pixels<\/li>\n<li>\\(r\\) \u2014 selected resolution in pixels per inch, entered in the Resolution (DPI) field<\/li>\n<li>\\(w\\) and \\(h\\) \u2014 resulting print width and height in the indicated unit<\/li>\n<\/ul>\n<p>Dividing each pixel dimension by the selected resolution gives the print dimension in inches. Multiplying by 2.54 converts inches to centimeters.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-459\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>Image DPI &amp; Pixel \u2013 Calculation Example<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Example:<\/strong> an image is 1920 pixels wide and 1080 pixels high. At the default resolution of 300 DPI, select Inches as the output unit.<\/p>\n<p>\\[ w=\\frac{1920}{300}=6.4\\text{ in},\\qquad h=\\frac{1080}{300}=3.6\\text{ in} \\]<\/p>\n<p><strong>Result:<\/strong> Width is 6.4 inches and Height is 3.6 inches. Selecting Centimeters instead gives 16.26 cm by 9.14 cm after rounding to two decimal places.<\/p>\n<p>\n\r\n<\/section>\n<h2>How to use the calculator<\/h2>\n<ol>\n<li>Enter the image\u2019s horizontal pixel count in <strong>Width in pixels<\/strong>.<\/li>\n<li>Enter its vertical pixel count in <strong>Height in pixels<\/strong>. Use the full dimensions of the image you plan to print; if you have cropped it, use the cropped dimensions.<\/li>\n<li>Set <strong>Resolution (DPI)<\/strong> to the pixel density you want for the print. The default is 300.<\/li>\n<li>Choose <strong>Inches<\/strong> or <strong>Centimeters<\/strong> under <strong>Output unit<\/strong>.<\/li>\n<li>Read the calculated <strong>Width<\/strong> and <strong>Height<\/strong>. The results are rounded to two decimal places.<\/li>\n<\/ol>\n<h2>What image resolution means for print size<\/h2>\n<p>A digital image has a fixed number of pixels across its width and height. To print it, those pixels must be distributed across a physical area. Pixels per inch (PPI) describes that distribution: at 300 pixels per inch, every 300 image pixels occupy one inch of the print. This calculator\u2019s field is labeled <strong>Resolution (DPI)<\/strong>, but its calculation uses the entered number as pixels per inch.<\/p>\n<p>DPI technically refers to printer dots per inch. A printer may use multiple ink dots to reproduce one image pixel, so its advertised DPI is not necessarily the same as the image\u2019s PPI. For estimating print dimensions, the useful number is the desired image pixels per printed inch.<\/p>\n<p>For the default 1920 \u00d7 1080 image, 300 pixels per inch gives a 6.4 \u00d7 3.6 inch print. At 150 pixels per inch, the same image would print at 12.8 \u00d7 7.2 inches. The larger print spreads the same pixels over more space; it does not gain detail. Conversely, choosing a higher resolution produces a smaller calculated print.<\/p>\n<p>These dimensions help you check whether an image has enough pixels for your intended print size. The appropriate resolution depends on viewing distance, image content, and the print method. A small print viewed closely may benefit from a higher pixel density than a large display viewed from across a room.<\/p>\n<h2>Assumptions and practical limits<\/h2>\n<p>The calculator assumes that pixels are square and that the entire image is printed without cropping, borders, or scaling beyond the selected resolution. Its output describes the image area, not the size of the paper or frame. Both input dimensions and the resolution must be greater than zero.<\/p>\n<p>Changing the Resolution (DPI) value here only changes the calculated physical size. It does not edit the image, add pixels, sharpen it, or change a file\u2019s metadata. If you need a specific print size, you can check its required pixel dimensions by multiplying each dimension in inches by your target pixels per inch. For example, an 8 \u00d7 10 inch print at 300 pixels per inch requires 2400 \u00d7 3000 pixels before any cropping.<\/p>\n<p>Pixel dimensions alone also cannot tell you a file\u2019s storage size: format, compression, and color depth matter. Use the <a href=\"https:\/\/wpcalc.com\/en\/converters\/byte\/\">Digital Storage converter<\/a> to compare file-size units, or the <a href=\"https:\/\/wpcalc.com\/en\/converters\/download-speed\/\">Download Time Estimator<\/a> if you need to plan how long an image file may take to transfer.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Find an image\u2019s print width and height from its pixel dimensions and chosen resolution. Enter the width and height in pixels, set the DPI, and select inches or centimeters.<\/p>\n","protected":false},"author":70,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[3],"tags":[31],"class_list":["post-55802","post","type-post","status-publish","format-standard","hentry","category-converters","tag-other-units"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/55802","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/users\/70"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/comments?post=55802"}],"version-history":[{"count":2,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/55802\/revisions"}],"predecessor-version":[{"id":65259,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/55802\/revisions\/65259"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/media?parent=55802"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/categories?post=55802"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/tags?post=55802"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}