{"id":3217,"date":"2025-06-02T05:59:09","date_gmt":"2025-06-02T05:59:09","guid":{"rendered":"https:\/\/diznr.com\/?p=3217"},"modified":"2025-06-02T05:59:09","modified_gmt":"2025-06-02T05:59:09","slug":"number-system-in-hindi-decimal-binary-octalhexadecimal-number-system","status":"publish","type":"post","link":"https:\/\/www.reilsolar.com\/pdf\/number-system-in-hindi-decimal-binary-octalhexadecimal-number-system\/","title":{"rendered":"NUMBER SYSTEM IN HINDI &#8211; DECIMAL , BINARY , OCTAL,HEXADECIMAL NUMBER SYSTEM."},"content":{"rendered":"<p>NUMBER SYSTEM IN HINDI &#8211; DECIMAL , BINARY , OCTAL,HEXADECIMAL NUMBER SYSTEM.<\/p>\n<p>[fvplayer id=&#8221;303&#8243;]<\/p>\n<p data-start=\"0\" data-end=\"160\">\u0938\u0902\u0916\u094d\u092f\u093e \u092a\u0926\u094d\u0927\u0924\u093f (Number System) \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u094b \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0930\u0942\u092a\u094b\u0902 \u092e\u0947\u0902 \u092a\u094d\u0930\u0926\u0930\u094d\u0936\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092e\u0941\u0916\u094d\u092f \u0930\u0942\u092a \u0938\u0947 \u091a\u093e\u0930 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u092a\u0926\u094d\u0927\u0924\u093f\u092f\u093e\u0901 \u0939\u094b\u0924\u0940 \u0939\u0948\u0902:<\/p>\n<h3 data-start=\"162\" data-end=\"229\"><strong data-start=\"166\" data-end=\"227\">1. \u0926\u093e\u0936\u092e\u093f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e \u092a\u0926\u094d\u0927\u0924\u093f (Decimal Number System &#8211; Base 10)<\/strong><\/h3>\n<ul data-start=\"230\" data-end=\"382\">\n<li data-start=\"230\" data-end=\"270\">\u0907\u0938\u092e\u0947\u0902 \u0915\u0941\u0932 <strong data-start=\"242\" data-end=\"258\">10 \u0905\u0902\u0915 (0-9)<\/strong> \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964<\/li>\n<li data-start=\"271\" data-end=\"325\">\u092f\u0939 \u0938\u092c\u0938\u0947 \u0905\u0927\u093f\u0915 \u0909\u092a\u092f\u094b\u0917 \u0915\u0940 \u091c\u093e\u0928\u0947 \u0935\u093e\u0932\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u092a\u094d\u0930\u0923\u093e\u0932\u0940 \u0939\u0948\u0964<\/li>\n<li data-start=\"326\" data-end=\"382\">\u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u094d\u0925\u093e\u0928 \u0915\u093e \u092e\u093e\u0928 10 \u0915\u0947 \u0918\u093e\u0924 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u092c\u0922\u093c\u0924\u093e \u0939\u0948\u0964<\/li>\n<\/ul>\n<p data-start=\"384\" data-end=\"460\"><strong data-start=\"384\" data-end=\"395\">\u0909\u0926\u093e\u0939\u0930\u0923:<\/strong><\/p>\n<p data-start=\"384\" data-end=\"460\"><span class=\"katex\"><span class=\"katex-mathml\">325=3\u00d7102+2\u00d7101+5\u00d7100325 = 3 \\times 10^2 + 2 \\times 10^1 + 5 \\times 10^0<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">325<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">3<\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord\">1<\/span><span class=\"mord\">0<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord\">1<\/span><span class=\"mord\">0<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\">5<\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord\">1<\/span><span class=\"mord\">0<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<h3 data-start=\"467\" data-end=\"532\"><strong data-start=\"471\" data-end=\"530\">2. \u092c\u093e\u0907\u0928\u0930\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u092a\u0926\u094d\u0927\u0924\u093f (Binary Number System &#8211; Base 2)<\/strong><\/h3>\n<ul data-start=\"533\" data-end=\"694\">\n<li data-start=\"533\" data-end=\"576\">\u0907\u0938\u092e\u0947\u0902 \u0915\u0947\u0935\u0932 <strong data-start=\"546\" data-end=\"564\">2 \u0905\u0902\u0915 (0 \u0914\u0930 1)<\/strong> \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964<\/li>\n<li data-start=\"577\" data-end=\"638\">\u092f\u0939 \u0915\u0902\u092a\u094d\u092f\u0942\u091f\u0930 \u092e\u0947\u0902 \u0909\u092a\u092f\u094b\u0917 \u0939\u094b\u0928\u0947 \u0935\u093e\u0932\u0940 \u092a\u094d\u0930\u092e\u0941\u0916 \u0938\u0902\u0916\u094d\u092f\u093e \u092a\u094d\u0930\u0923\u093e\u0932\u0940 \u0939\u0948\u0964<\/li>\n<li data-start=\"639\" data-end=\"694\">\u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u094d\u0925\u093e\u0928 \u0915\u093e \u092e\u093e\u0928 2 \u0915\u0947 \u0918\u093e\u0924 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u092c\u0922\u093c\u0924\u093e \u0939\u0948\u0964<\/li>\n<\/ul>\n<p data-start=\"696\" data-end=\"829\"><strong data-start=\"696\" data-end=\"707\">\u0909\u0926\u093e\u0939\u0930\u0923:<\/strong><br data-start=\"707\" data-end=\"710\" \/><strong data-start=\"713\" data-end=\"724\">(1011)\u2082<\/strong> = <span class=\"katex\"><span class=\"katex-mathml\">1\u00d723+0\u00d722+1\u00d721+1\u00d7201 \\times 2^3 + 0 \\times 2^2 + 1 \\times 2^1 + 1 \\times 2^0<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">1<\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord\">2<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\">0<\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord\">2<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\">1<\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord\">2<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\">1<\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord\">2<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><br data-start=\"790\" data-end=\"793\" \/><span class=\"katex\"><span class=\"katex-mathml\">=8+0+2+1=1110= 8 + 0 + 2 + 1 = 11_{10}<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">8<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\">0<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\">2<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\">1<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">1<\/span><span class=\"mord\">1<span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">10<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<h3 data-start=\"836\" data-end=\"899\"><strong data-start=\"840\" data-end=\"897\">3. \u0911\u0915\u094d\u091f\u0932 \u0938\u0902\u0916\u094d\u092f\u093e \u092a\u0926\u094d\u0927\u0924\u093f (Octal Number System &#8211; Base 8)<\/strong><\/h3>\n<ul data-start=\"900\" data-end=\"1074\">\n<li data-start=\"900\" data-end=\"935\">\u0907\u0938\u092e\u0947\u0902 <strong data-start=\"908\" data-end=\"923\">8 \u0905\u0902\u0915 (0-7)<\/strong> \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964<\/li>\n<li data-start=\"936\" data-end=\"1018\">\u092f\u0939 \u0906\u092e\u0924\u094c\u0930 \u092a\u0930 \u092c\u093e\u0907\u0928\u0930\u0940 \u0915\u094b \u0938\u0902\u0915\u094d\u0937\u093f\u092a\u094d\u0924 \u0930\u0942\u092a \u092e\u0947\u0902 \u0935\u094d\u092f\u0915\u094d\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0909\u092a\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/li>\n<li data-start=\"1019\" data-end=\"1074\">\u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u094d\u0925\u093e\u0928 \u0915\u093e \u092e\u093e\u0928 8 \u0915\u0947 \u0918\u093e\u0924 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u092c\u0922\u093c\u0924\u093e \u0939\u0948\u0964<\/li>\n<\/ul>\n<p data-start=\"1076\" data-end=\"1192\"><strong data-start=\"1076\" data-end=\"1087\">\u0909\u0926\u093e\u0939\u0930\u0923:<\/strong><br data-start=\"1087\" data-end=\"1090\" \/><strong data-start=\"1093\" data-end=\"1103\">(157)\u2088<\/strong> = <span class=\"katex\"><span class=\"katex-mathml\">1\u00d782+5\u00d781+7\u00d7801 \\times 8^2 + 5 \\times 8^1 + 7 \\times 8^0<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">1<\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord\">8<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\">5<\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord\">8<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\">7<\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord\">8<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><br data-start=\"1154\" data-end=\"1157\" \/><span class=\"katex\"><span class=\"katex-mathml\">=64+40+7=11110= 64 + 40 + 7 = 111_{10}<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">64<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\">40<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\">7<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">11<\/span><span class=\"mord\">1<span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">10<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<h3 data-start=\"1199\" data-end=\"1276\"><strong data-start=\"1203\" data-end=\"1274\">4. \u0939\u0947\u0915\u094d\u0938\u093e\u0921\u0947\u0938\u093f\u092e\u0932 \u0938\u0902\u0916\u094d\u092f\u093e \u092a\u0926\u094d\u0927\u0924\u093f (Hexadecimal Number System &#8211; Base 16)<\/strong><\/h3>\n<ul data-start=\"1277\" data-end=\"1511\">\n<li data-start=\"1277\" data-end=\"1383\">\u0907\u0938\u092e\u0947\u0902 <strong data-start=\"1285\" data-end=\"1308\">16 \u0905\u0902\u0915 (0-9 \u0914\u0930 A-F)<\/strong> \u0939\u094b\u0924\u0947 \u0939\u0948\u0902, \u091c\u0939\u093e\u0901:\n<ul data-start=\"1329\" data-end=\"1383\">\n<li data-start=\"1329\" data-end=\"1383\"><strong data-start=\"1331\" data-end=\"1381\">A = 10, B = 11, C = 12, D = 13, E = 14, F = 15<\/strong><\/li>\n<\/ul>\n<\/li>\n<li data-start=\"1384\" data-end=\"1454\">\u092f\u0939 \u0915\u0902\u092a\u094d\u092f\u0942\u091f\u0930 \u0938\u093f\u0938\u094d\u091f\u092e \u092e\u0947\u0902 \u092e\u0947\u092e\u094b\u0930\u0940 \u090f\u0921\u094d\u0930\u0947\u0938\u093f\u0902\u0917 \u0915\u0947 \u0932\u093f\u090f \u0909\u092a\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/li>\n<li data-start=\"1455\" data-end=\"1511\">\u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u094d\u0925\u093e\u0928 \u0915\u093e \u092e\u093e\u0928 16 \u0915\u0947 \u0918\u093e\u0924 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u092c\u0922\u093c\u0924\u093e \u0939\u0948\u0964<\/li>\n<\/ul>\n<p data-start=\"1513\" data-end=\"1612\"><strong data-start=\"1513\" data-end=\"1524\">\u0909\u0926\u093e\u0939\u0930\u0923:<\/strong><br data-start=\"1524\" data-end=\"1527\" \/><strong data-start=\"1530\" data-end=\"1540\">(2F)\u2081\u2086<\/strong> = <span class=\"katex\"><span class=\"katex-mathml\">2\u00d7161+15\u00d71602 \\times 16^1 + 15 \\times 16^0<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">2<\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord\">1<\/span><span class=\"mord\">6<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\">15<\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord\">1<\/span><span class=\"mord\">6<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><br data-start=\"1579\" data-end=\"1582\" \/><span class=\"katex\"><span class=\"katex-mathml\">=32+15=4710= 32 + 15 = 47_{10}<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">32<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\">15<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">4<\/span><span class=\"mord\">7<span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">10<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<h3 data-start=\"1619\" data-end=\"1674\"><strong data-start=\"1623\" data-end=\"1672\">\u0938\u0902\u0916\u094d\u092f\u093e \u092a\u0926\u094d\u0927\u0924\u093f \u0915\u093e \u092a\u0930\u0938\u094d\u092a\u0930 \u0930\u0942\u092a\u093e\u0902\u0924\u0930\u0923 (Conversion)<\/strong><\/h3>\n<p data-start=\"1675\" data-end=\"1969\">\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u094b \u090f\u0915 \u092a\u094d\u0930\u0923\u093e\u0932\u0940 \u0938\u0947 \u0926\u0942\u0938\u0930\u0940 \u092e\u0947\u0902 \u092c\u0926\u0932\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0935\u093f\u0927\u093f\u092f\u093e\u0901 \u0939\u0948\u0902:<br data-start=\"1744\" data-end=\"1747\" \/><strong data-start=\"1749\" data-end=\"1789\">\u0926\u0936\u092e\u0932\u0935 \u0938\u0947 \u092c\u093e\u0907\u0928\u0930\u0940, \u0911\u0915\u094d\u091f\u0932, \u0939\u0947\u0915\u094d\u0938\u093e\u0921\u0947\u0938\u093f\u092e\u0932<\/strong> \u2013 \u092c\u093e\u0930-\u092c\u093e\u0930 \u0935\u093f\u092d\u093e\u091c\u0928 (Repeated Division) \u0935\u093f\u0927\u093f<br data-start=\"1831\" data-end=\"1834\" \/><strong data-start=\"1836\" data-end=\"1868\">\u092c\u093e\u0907\u0928\u0930\u0940 \u0938\u0947 \u0911\u0915\u094d\u091f\u0932\/\u0939\u0947\u0915\u094d\u0938\u093e\u0921\u0947\u0938\u093f\u092e\u0932<\/strong> \u2013 \u0917\u094d\u0930\u0941\u092a\u093f\u0902\u0917 (Grouping) \u0935\u093f\u0927\u093f<br data-start=\"1895\" data-end=\"1898\" \/><strong data-start=\"1900\" data-end=\"1932\">\u0911\u0915\u094d\u091f\u0932\/\u0939\u0947\u0915\u094d\u0938\u093e\u0921\u0947\u0938\u093f\u092e\u0932 \u0938\u0947 \u092c\u093e\u0907\u0928\u0930\u0940<\/strong> \u2013 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0905\u0902\u0915 \u0915\u094b \u092c\u093e\u0907\u0928\u0930\u0940 \u092e\u0947\u0902 \u092c\u0926\u0932\u0947\u0902<\/p>\n<p data-start=\"1971\" data-end=\"2043\"><strong data-start=\"1971\" data-end=\"1982\">\u0909\u0926\u093e\u0939\u0930\u0923:<\/strong><br data-start=\"1982\" data-end=\"1985\" \/><strong data-start=\"1988\" data-end=\"2019\">(25)\u2081\u2080 \u0915\u094b \u092c\u093e\u0907\u0928\u0930\u0940 \u092e\u0947\u0902 \u092c\u0926\u0932\u0947\u0902:<\/strong><br data-start=\"2019\" data-end=\"2022\" \/>25 \u0915\u094b 2 \u0938\u0947 \u092d\u093e\u0917 \u0926\u0947\u0902:<\/p>\n<ul data-start=\"2044\" data-end=\"2151\">\n<li data-start=\"2044\" data-end=\"2066\">25 \u00f7 2 = 12, \u0936\u0947\u0937 1<\/li>\n<li data-start=\"2067\" data-end=\"2088\">12 \u00f7 2 = 6, \u0936\u0947\u0937 0<\/li>\n<li data-start=\"2089\" data-end=\"2109\">6 \u00f7 2 = 3, \u0936\u0947\u0937 0<\/li>\n<li data-start=\"2110\" data-end=\"2130\">3 \u00f7 2 = 1, \u0936\u0947\u0937 1<\/li>\n<li data-start=\"2131\" data-end=\"2151\">1 \u00f7 2 = 0, \u0936\u0947\u0937 1<\/li>\n<\/ul>\n<p data-start=\"2153\" data-end=\"2174\"><strong data-start=\"2153\" data-end=\"2163\">\u0909\u0924\u094d\u0924\u0930:<\/strong> (11001)\u2082<\/p>\n<h3 data-start=\"2181\" data-end=\"2199\"><strong data-start=\"2185\" data-end=\"2197\">\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937<\/strong><\/h3>\n<ul data-start=\"2200\" data-end=\"2424\">\n<li data-start=\"2200\" data-end=\"2254\"><strong data-start=\"2202\" data-end=\"2221\">\u0926\u0936\u092e\u0932\u0935 (Decimal)<\/strong> \u0926\u0948\u0928\u093f\u0915 \u091c\u0940\u0935\u0928 \u092e\u0947\u0902 \u092a\u094d\u0930\u092f\u094b\u0917 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/li>\n<li data-start=\"2255\" data-end=\"2307\"><strong data-start=\"2257\" data-end=\"2276\">\u092c\u093e\u0907\u0928\u0930\u0940 (Binary)<\/strong> \u0915\u0902\u092a\u094d\u092f\u0942\u091f\u0930 \u092e\u0947\u0902 \u092a\u094d\u0930\u092f\u094b\u0917 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/li>\n<li data-start=\"2308\" data-end=\"2424\"><strong data-start=\"2310\" data-end=\"2357\">\u0911\u0915\u094d\u091f\u0932 (Octal) \u0914\u0930 \u0939\u0947\u0915\u094d\u0938\u093e\u0921\u0947\u0938\u093f\u092e\u0932 (Hexadecimal)<\/strong> \u0915\u0902\u092a\u094d\u092f\u0942\u091f\u0930 \u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e\u093f\u0902\u0917 \u0914\u0930 \u0921\u093f\u091c\u093f\u091f\u0932 \u0938\u0930\u094d\u0915\u093f\u091f\u094d\u0938 \u092e\u0947\u0902 \u0909\u092a\u092f\u094b\u0917 \u0915\u093f\u090f \u091c\u093e\u0924\u0947 \u0939\u0948\u0902\u0964<\/li>\n<\/ul>\n<p data-start=\"2426\" data-end=\"2504\" data-is-last-node=\"\" data-is-only-node=\"\">\u0905\u0917\u0930 \u0906\u092a\u0915\u094b \u0915\u093f\u0938\u0940 \u0935\u093f\u0936\u0947\u0937 \u0938\u0902\u0916\u094d\u092f\u093e \u092a\u094d\u0930\u0923\u093e\u0932\u0940 \u0915\u0947 \u092c\u093e\u0930\u0947 \u092e\u0947\u0902 \u0905\u0927\u093f\u0915 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u091a\u093e\u0939\u093f\u090f \u0924\u094b \u092c\u0924\u093e\u0907\u090f!<\/p>\n<h3 data-start=\"2426\" data-end=\"2504\"><a href=\"https:\/\/hte.rajasthan.gov.in\/dept\/dte\/board_of_technical_education,_rajasthan\/cmrb_government_polytechnic_college_,_srignanganagar\/uploads\/doc\/Number%20System%20-Complete.pdf\" target=\"_blank\" rel=\"noopener\">NUMBER SYSTEM IN HINDI &#8211; DECIMAL , BINARY , OCTAL,HEXADECIMAL NUMBER SYSTEM.<\/a><\/h3>\n<h3 class=\"LC20lb MBeuO DKV0Md\"><a href=\"https:\/\/www.cs.ucr.edu\/~ehwang\/courses\/cs120a\/00winter\/binary.pdf\" target=\"_blank\" rel=\"noopener\">Conversion of Binary, Octal and Hexadecimal Numbers<\/a><\/h3>\n<h3 class=\"LC20lb MBeuO DKV0Md\"><a href=\"https:\/\/www.rit.edu\/academicsuccesscenter\/sites\/rit.edu.academicsuccesscenter\/files\/documents\/math-handouts\/DM4_OctalandHexadecimalNumberSystems_BP_9_22_14.pdf\" target=\"_blank\" rel=\"noopener\">Octal and Hexadecimal Number Systems<\/a><\/h3>\n<h3 class=\"LC20lb MBeuO DKV0Md\"><a href=\"https:\/\/www.ipsgwalior.org\/download\/number%20system.pdf\" target=\"_blank\" rel=\"noopener\">NUMBER SYSTEM CONVERSIONS<\/a><\/h3>\n<p>\u092f\u0939 \u0930\u0939\u093e \u090f\u0915 \u0906\u0938\u093e\u0928 \u0914\u0930 \u0938\u0902\u092a\u0942\u0930\u094d\u0923 <strong>Number System (\u0938\u0902\u0916\u094d\u092f\u093e \u092a\u0926\u094d\u0927\u0924\u093f)<\/strong> \u0915\u093e \u091f\u094d\u092f\u0942\u091f\u094b\u0930\u093f\u092f\u0932 <strong>\u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902<\/strong> \u2014 \u091c\u094b Competitive Exams (SSC, Bank, Railway, GATE, etc.) \u0914\u0930 CS\/ECE \u0915\u0947 \u091b\u093e\u0924\u094d\u0930\u094b\u0902 \u0915\u0947 \u0932\u093f\u090f \u092c\u0939\u0941\u0924 \u0909\u092a\u092f\u094b\u0917\u0940 \u0939\u0948\u0964<\/p>\n<hr \/>\n<h2>\ud83d\udcd8 <strong>Number System in Hindi \u2013 \u0938\u0902\u0916\u094d\u092f\u093e\u0924\u094d\u092e\u0915 \u092a\u0926\u094d\u0927\u0924\u093f\u092f\u093e\u0901<\/strong><\/h2>\n<p>\u0915\u0902\u092a\u094d\u092f\u0942\u091f\u0930 \u0915\u0947\u0935\u0932 <strong>0 \u0914\u0930 1<\/strong> (\u092c\u093e\u0907\u0928\u0930\u0940) \u0915\u094b \u0938\u092e\u091d\u0924\u093e \u0939\u0948\u0964 \u0932\u0947\u0915\u093f\u0928 \u0907\u0902\u0938\u093e\u0928 <strong>\u0926\u0936\u092e\u0932\u0935 \u092a\u094d\u0930\u0923\u093e\u0932\u0940 (Decimal)<\/strong> \u092e\u0947\u0902 \u0938\u094b\u091a\u0924\u093e \u0939\u0948\u0964 \u0907\u0938\u0932\u093f\u090f \u0915\u0902\u092a\u094d\u092f\u0942\u091f\u0930 \u092e\u0947\u0902 \u0921\u093e\u091f\u093e \u0915\u094b \u0938\u092e\u091d\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f <strong>Number Systems<\/strong> \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/p>\n<hr \/>\n<h2>\u2705 <strong>1. Decimal Number System (\u0926\u0936\u092e\u0932\u0935 \u0938\u0902\u0916\u094d\u092f\u093e \u092a\u0926\u094d\u0927\u0924\u093f)<\/strong><\/h2>\n<ul>\n<li><strong>Base (\u0906\u0927\u093e\u0930)<\/strong>: 10<\/li>\n<li><strong>Digits<\/strong>: 0 \u0938\u0947 9 (\u0915\u0941\u0932 10 \u0905\u0902\u0915)<\/li>\n<li>\u0939\u092e \u0905\u092a\u0928\u0940 \u0926\u0948\u0928\u093f\u0915 \u0917\u0923\u0928\u093e\u0913\u0902 \u092e\u0947\u0902 \u0907\u0938\u0940 \u0915\u093e \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964<\/li>\n<\/ul>\n<p>\ud83d\udccc Example:<br \/>\n<code>327 = 3\u00d710\u00b2 + 2\u00d710\u00b9 + 7\u00d710\u2070 = 300 + 20 + 7<\/code><\/p>\n<hr \/>\n<h2>\u2705 <strong>2. Binary Number System (\u092c\u093e\u0907\u0928\u0930\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u092a\u0926\u094d\u0927\u0924\u093f)<\/strong><\/h2>\n<ul>\n<li><strong>Base<\/strong>: 2<\/li>\n<li><strong>Digits<\/strong>: \u0915\u0947\u0935\u0932 0 \u0914\u0930 1<\/li>\n<li>\u092f\u0939 \u0915\u0902\u092a\u094d\u092f\u0942\u091f\u0930 \u0915\u0940 \u092d\u093e\u0937\u093e \u0939\u0948\u0964<\/li>\n<\/ul>\n<p>\ud83d\udccc Example:<br \/>\n<code>1011 (Binary) = 1\u00d72\u00b3 + 0\u00d72\u00b2 + 1\u00d72\u00b9 + 1\u00d72\u2070 = 8 + 0 + 2 + 1 = 11 (Decimal)<\/code><\/p>\n<hr \/>\n<h2>\u2705 <strong>3. Octal Number System (\u0906\u0920\u0906\u0927\u093e\u0930\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u092a\u0926\u094d\u0927\u0924\u093f)<\/strong><\/h2>\n<ul>\n<li><strong>Base<\/strong>: 8<\/li>\n<li><strong>Digits<\/strong>: 0 \u0938\u0947 7<\/li>\n<li>\u092c\u093e\u0907\u0928\u0930\u0940 \u0915\u094b \u0915\u092e \u0905\u0902\u0915\u094b\u0902 \u092e\u0947\u0902 \u0932\u093f\u0916\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0909\u092a\u092f\u094b\u0917 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/li>\n<\/ul>\n<p>\ud83d\udccc Example:<br \/>\n<code>145 (Octal) = 1\u00d78\u00b2 + 4\u00d78\u00b9 + 5\u00d78\u2070 = 64 + 32 + 5 = 101 (Decimal)<\/code><\/p>\n<hr \/>\n<h2>\u2705 <strong>4. Hexadecimal Number System (\u0939\u0947\u0915\u094d\u0938\u093e\u0921\u0947\u0938\u093f\u092e\u0932 \u0938\u0902\u0916\u094d\u092f\u093e \u092a\u0926\u094d\u0927\u0924\u093f)<\/strong><\/h2>\n<ul>\n<li><strong>Base<\/strong>: 16<\/li>\n<li><strong>Digits<\/strong>: 0 \u0938\u0947 9 \u0914\u0930 A (10) \u0938\u0947 F (15) \u0924\u0915<\/li>\n<li>\u0915\u0902\u092a\u094d\u092f\u0942\u091f\u0930 \u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e\u093f\u0902\u0917 \u0914\u0930 \u0915\u0932\u0930 \u0915\u094b\u0921\u093f\u0902\u0917 \u092e\u0947\u0902 \u0909\u092a\u092f\u094b\u0917\u0940 \u0939\u0948\u0964<\/li>\n<\/ul>\n<p>\ud83d\udccc Example:<br \/>\n<code>2F (Hex) = 2\u00d716\u00b9 + F\u00d716\u2070 = 32 + 15 = 47 (Decimal)<\/code><\/p>\n<hr \/>\n<h2>\ud83d\udd01 <strong>Conversion Table (\u0938\u0902\u0915\u094d\u0937\u093f\u092a\u094d\u0924 \u0930\u0942\u092a \u092e\u0947\u0902)<\/strong><\/h2>\n<table>\n<thead>\n<tr>\n<th>Decimal<\/th>\n<th>Binary<\/th>\n<th>Octal<\/th>\n<th>Hex<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>0<\/td>\n<td>0000<\/td>\n<td>0<\/td>\n<td>0<\/td>\n<\/tr>\n<tr>\n<td>1<\/td>\n<td>0001<\/td>\n<td>1<\/td>\n<td>1<\/td>\n<\/tr>\n<tr>\n<td>10<\/td>\n<td>1010<\/td>\n<td>12<\/td>\n<td>A<\/td>\n<\/tr>\n<tr>\n<td>15<\/td>\n<td>1111<\/td>\n<td>17<\/td>\n<td>F<\/td>\n<\/tr>\n<tr>\n<td>31<\/td>\n<td>11111<\/td>\n<td>37<\/td>\n<td>1F<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<hr \/>\n<h2>\ud83d\udd04 <strong>Conversions (\u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928)<\/strong><\/h2>\n<ul>\n<li><strong>Decimal to Binary<\/strong>: \u092d\u093e\u0917 \u0926\u0947\u0915\u0930<\/li>\n<li><strong>Binary to Decimal<\/strong>: \u092a\u0949\u0935\u0930 \u0938\u0947 \u0917\u0941\u0923\u093e \u0915\u0930\u0915\u0947<\/li>\n<li><strong>Decimal to Octal\/Hex<\/strong>: \u092c\u093e\u0930-\u092c\u093e\u0930 \u092d\u093e\u0917 \u0926\u0947\u0915\u0930<\/li>\n<li><strong>Binary to Hex<\/strong>: 4-4 \u092c\u093f\u091f\u094d\u0938 \u0915\u0947 \u0917\u094d\u0930\u0941\u092a \u092c\u0928\u093e\u0915\u0930<\/li>\n<li><strong>Binary to Octal<\/strong>: 3-3 \u092c\u093f\u091f\u094d\u0938 \u0915\u0947 \u0917\u094d\u0930\u0941\u092a \u092c\u0928\u093e\u0915\u0930<\/li>\n<\/ul>\n<hr \/>\n<h2>\ud83e\udde0 <strong>Tricks &amp; Tips<\/strong><\/h2>\n<ul>\n<li>Hex = 4 bits<\/li>\n<li>Octal = 3 bits<\/li>\n<li>Binary = \u0915\u0902\u092a\u094d\u092f\u0942\u091f\u0930 \u0915\u0940 \u092e\u0941\u0916\u094d\u092f \u092d\u093e\u0937\u093e<\/li>\n<li>Conversion \u092e\u0947\u0902 powers of 2, 8, 16 \u092f\u093e\u0926 \u0930\u0916\u0947\u0902<\/li>\n<\/ul>\n<hr \/>\n<h2>\ud83c\udfaf \u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f:<\/h2>\n<p><strong>Convert 27 (Decimal) into:<\/strong><\/p>\n<ul>\n<li>Binary: 11011<\/li>\n<li>Octal: 33<\/li>\n<li>Hex: 1B<\/li>\n<\/ul>\n<hr \/>\n<h2>\ud83d\udce5 Want More?<\/h2>\n<p>\u0915\u094d\u092f\u093e \u0906\u092a \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902:<\/p>\n<ul>\n<li>\u090f\u0915 <strong>PDF \u0928\u094b\u091f\u094d\u0938 (\u0939\u093f\u0902\u0926\u0940 \u092e\u0947\u0902)<\/strong>?<\/li>\n<li><strong>\u092a\u094d\u0930\u0948\u0915\u094d\u091f\u093f\u0938 \u092a\u094d\u0930\u0936\u094d\u0928\u094b\u0902<\/strong> \u0915\u0947 \u0938\u093e\u0925 \u0938\u092e\u093e\u0927\u093e\u0928?<\/li>\n<li>\u090f\u0915 <strong>\u0935\u0940\u0921\u093f\u092f\u094b \u091f\u094d\u092f\u0942\u091f\u094b\u0930\u093f\u092f\u0932 (\u0939\u093f\u0902\u0926\u0940)<\/strong>?<\/li>\n<\/ul>\n<p>\u092c\u0924\u093e\u090f\u0902, \u092e\u0948\u0902 \u0924\u0941\u0930\u0902\u0924 \u0924\u0948\u092f\u093e\u0930 \u0915\u0930 \u0926\u0942\u0902\u0917\u093e!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NUMBER SYSTEM IN HINDI &#8211; DECIMAL , BINARY , OCTAL,HEXADECIMAL NUMBER SYSTEM. [fvplayer id=&#8221;303&#8243;] \u0938\u0902\u0916\u094d\u092f\u093e \u092a\u0926\u094d\u0927\u0924\u093f (Number System) \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u094b \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0930\u0942\u092a\u094b\u0902 \u092e\u0947\u0902 \u092a\u094d\u0930\u0926\u0930\u094d\u0936\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092e\u0941\u0916\u094d\u092f \u0930\u0942\u092a \u0938\u0947 \u091a\u093e\u0930 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u092a\u0926\u094d\u0927\u0924\u093f\u092f\u093e\u0901 \u0939\u094b\u0924\u0940 \u0939\u0948\u0902: 1. \u0926\u093e\u0936\u092e\u093f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e \u092a\u0926\u094d\u0927\u0924\u093f (Decimal Number System &#8211; Base 10) \u0907\u0938\u092e\u0947\u0902 \u0915\u0941\u0932 10 [&hellip;]<\/p>\n","protected":false},"author":66,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[111],"tags":[],"class_list":["post-3217","post","type-post","status-publish","format-standard","hentry","category-digital-electronics"],"_links":{"self":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/3217","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/users\/66"}],"replies":[{"embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/comments?post=3217"}],"version-history":[{"count":0,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/3217\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/media?parent=3217"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/categories?post=3217"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/tags?post=3217"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}