{"id":3474,"date":"2022-03-24T20:34:14","date_gmt":"2022-03-24T20:34:14","guid":{"rendered":"https:\/\/stage-wp.10minuteschool.com\/?p=3474"},"modified":"2022-07-31T17:03:07","modified_gmt":"2022-07-31T11:03:07","slug":"%e0%a6%b2%e0%a6%9c%e0%a6%bf%e0%a6%95-%e0%a6%97%e0%a7%87%e0%a6%9f","status":"publish","type":"post","link":"https:\/\/10minuteschool.com\/content\/%e0%a6%b2%e0%a6%9c%e0%a6%bf%e0%a6%95-%e0%a6%97%e0%a7%87%e0%a6%9f\/","title":{"rendered":"\u09b2\u099c\u09bf\u0995 \u0997\u09c7\u099f (Logic Gate\u00a0)"},"content":{"rendered":"

\u09b2\u099c\u09bf\u0995 \u0997\u09c7\u099f \u0986\u09b2\u09cb\u099a\u09a8\u09be\u09b0 \u09aa\u09c2\u09b0\u09cd\u09ac\u09c7 \u09ac\u09c1\u09b2\u09bf\u09af\u09bc\u09be\u09a8 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4 (Boolean algebra) \u09b8\u09ae\u09cd\u09ac\u09a8\u09cd\u09a7\u09c7 \u09a7\u09be\u09b0\u09a3\u09be \u09a5\u09be\u0995\u09be \u09a6\u09b0\u0995\u09be\u09b0\u0964 George Boole (1815-1864)<\/strong> \u09b8\u09b0\u09cd\u09ac\u09aa\u09cd\u09b0\u09a5\u09ae \u09ac\u09c1\u09b2\u09bf\u09af\u09bc\u09be\u09a8 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c7\u09b0<\/strong> \u09a7\u09be\u09b0\u09a3\u09be \u09a6\u09c7\u09a8<\/span>\u0964<\/span><\/p>\n

\u09ac\u09c1\u09b2\u09bf\u09af\u09bc\u09be\u09a8 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4 (Boolean Algebra) : <\/b><\/h2>\n

\u09ac\u09c1\u09b2\u09bf\u09af\u09bc\u09be\u09a8 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4 \u09ae\u09c2\u09b2\u09a4 \u09b2\u099c\u09bf\u0995\u09c7\u09b0 \u09b8\u09a4\u09cd\u09af \u098f\u09ac\u0982 \u09ae\u09bf\u09a5\u09cd\u09af\u09be \u098f\u0987 \u09a6\u09c1\u0987 \u09b8\u09cd\u09a4\u09b0\u09c7\u09b0 \u0989\u09aa\u09b0 \u09ad\u09bf\u09a4\u09cd\u09a4\u09bf \u0995\u09b0\u09c7 \u09a4\u09c8\u09b0\u09bf \u09b9\u09af\u09bc\u09c7\u099b\u09c7\u0964 \u0995\u09ae\u09cd\u09aa\u09bf\u0989\u099f\u09be\u09b0\u09c7 \u09af\u0996\u09a8 \u09ac\u09be\u0987\u09a8\u09be\u09b0\u09bf \u09b8\u0982\u0996\u09cd\u09af\u09be \u09aa\u09a6\u09cd\u09a7\u09a4\u09bf\u09b0 \u09ac\u09cd\u09af\u09ac\u09b9\u09be\u09b0 \u09b6\u09c1\u09b0\u09c1 \u09b9\u09af\u09bc, \u09a4\u0996\u09a8 \u09ac\u09c1\u09b2\u09bf\u09af\u09bc\u09be\u09a8 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c7\u09b0 \u09b8\u09a4\u09cd\u09af \u098f\u09ac\u0982 \u09ae\u09bf\u09a5\u09cd\u09af\u09be\u0995\u09c7 1 \u098f\u09ac\u0982 0 \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8 \u0995\u09b0\u09be \u09b9\u09af\u09bc\u0964 \u0995\u09ae\u09cd\u09aa\u09bf\u0989\u099f\u09be\u09b0\u09c7\u09b0 \u09b8\u09ae\u09b8\u09cd\u09a4 \u0997\u09be\u09a3\u09bf\u09a4\u09bf\u0995 \u0993 \u09af\u09c1\u0995\u09cd\u09a4\u09bf\u09ae\u09c2\u09b2\u0995 \u09b8\u09ae\u09b8\u09cd\u09af\u09be \u09ac\u09c1\u09b2\u09bf\u09af\u09bc\u09be\u09a8 \u0985\u09cd\u09af\u09be\u09b2\u099c\u09c7\u09ac\u09b0\u09be\u09b0 \u09b8\u09be\u09b9\u09be\u09af\u09cd\u09af\u09c7 \u09b8\u09ae\u09be\u09a7\u09be\u09a8 \u0995\u09b0\u09be \u09b8\u09ae\u09cd\u09ad\u09ac\u0964 \u09ac\u09c1\u09b2\u09bf\u09af\u09bc\u09be\u09a8 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c7 \u09b6\u09c1\u09a7\u09c1\u09ae\u09be\u09a4\u09cd\u09b0 \u09af\u09cb\u0997 \u098f\u09ac\u0982 \u0997\u09c1\u09a3-\u098f\u09b0 \u09b8\u09be\u09b9\u09be\u09af\u09cd\u09af\u09c7 \u09b8\u09ae\u09b8\u09cd\u09a4 \u0995\u09be\u099c \u0995\u09b0\u09be \u09b9\u09af\u09bc\u0964<\/span><\/p>\n

\u09ac\u09c1\u09b2\u09bf\u09af\u09bc\u09be\u09a8 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c7\u09b0 \u09a8\u09bf\u09af\u09bc\u09ae <\/b>:<\/span><\/h3>\n

(i) \u09af\u09cb\u0997 \u099a\u09bf\u09b9\u09cd\u09a8 ‘+’ \u09a6\u09cd\u09ac\u09be\u09b0\u09be OR \u09ac\u09c1\u099d\u09be\u09a8\u09cb \u09b9\u09af\u09bc\u0964 Y = A + B, \u098f\u099f\u09be \u09aa\u09a1\u09bc\u09a4\u09c7 \u09b9\u09af\u09bc Y, A \u0985\u09a5\u09ac\u09be B\u0964\u00a0<\/span><\/p>\n

(ii) \u0997\u09c1\u09a3 \u099a\u09bf\u09b9\u09cd\u09a8 (x \u09ac\u09be \\bullet<\/span><\/span>) \u09a6\u09cd\u09ac\u09be\u09b0\u09be AND \u09ac\u09cb\u099d\u09be\u09a8\u09cb \u09b9\u09af\u09bc\u0964 Y = A . B \u09aa\u09a1\u09bc\u09a4\u09c7 \u09b9\u09af\u09bc Y, A \u098f\u09ac\u0982 B \u098f\u09b0 \u09ae\u09be\u09a8 \u09b8\u09ae\u09be\u09a8\u0964<\/span><\/p>\n

(iii) \u09ac\u09be\u09b0 \u099a\u09bf\u09b9\u09cd\u09a8 (-) \u09a6\u09cd\u09ac\u09be\u09b0\u09be NOT \u09ac\u09cb\u099d\u09be\u09a8\u09cb \u09b9\u09af\u09bc, Y= \\bar{A}<\/span><\/span>, \u098f\u0995\u09c7 Y, NOT A \u09b9\u09bf\u09b8\u09c7\u09ac\u09c7 \u09aa\u09a1\u09bc\u09a4\u09c7 \u09b9\u09af\u09bc\u0964 Y \u098f\u09b0 <\/span>\u09ae\u09be\u09a8 A \u098f\u09b0 \u09ae\u09be\u09a8\u09c7\u09b0 \u09b8\u09ae\u09be\u09a8\u0964<\/span><\/p>\n

\u09ac\u09c1\u09b2\u09bf\u09af\u09bc\u09be\u09a8 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c7\u09b0 \u09a4\u09bf\u09a8\u099f\u09bf \u09b8\u09c2\u09a4\u09cd\u09b0 (Three laws of Boolean algebra) :<\/b><\/h3>\n

\u09e7\u0964 \u09ac\u09bf\u09a8\u09bf\u09ae\u09af\u09bc \u09b8\u09c2\u09a4\u09cd\u09b0 (Commutative law) :\\mathrm{A}+\\mathrm{B}=\\mathrm{B}+\\mathrm{A}<\/span><\/span><\/p>\n

\\mathrm{AB}=\\mathrm{BA}<\/span><\/span><\/p>\n

\u09e8\u0964 \u09b8\u0982\u09af\u09cb\u0997 \u09b8\u09c2\u09a4\u09cd\u09b0 (Associative law) :<\/span><\/p>\n

\u00a0\\begin{aligned}\n\nA+(B+C) &=(A+B)+C \\\\\n\nA \\cdot(B \\cdot C) &=(A \\cdot B) \\cdot C\n\n\\end{aligned}<\/span><\/span><\/p>\n

\u09e9\u0964 \u09ac\u09a3\u09cd\u099f\u09a8 \u09b8\u09c2\u09a4\u09cd\u09b0 (Distributive law) : (B+C)=A . B+A . C<\/span><\/span><\/p>\n

\u09ac\u09c1\u09b2\u09bf\u09af\u09bc\u09be\u09a8 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c7\u09b0 \u0995\u09af\u09bc\u09c7\u0995\u099f\u09bf \u09b8\u09ae\u09cd\u09aa\u09b0\u09cd\u0995 (Some relation of Boolean algebra) :<\/b><\/h3>\n

\u09a8\u09bf\u099a\u09c7\u09b0 \u09b8\u09ae\u09cd\u09aa\u09b0\u09cd\u0995\u0997\u09c1\u09b2\u09cb\u09a4\u09c7 A \u09b9\u099a\u09cd\u099b\u09c7 \u09b8\u0982\u0995\u09c7\u09a4\u0964 \u098f\u09b0 \u09a6\u09c1\u099f\u09bf \u09b8\u09ae\u09cd\u09ad\u09be\u09ac\u09cd\u09af \u09ae\u09be\u09a8 \u09b0\u09af\u09bc\u09c7\u099b\u09c7; \u09af\u09a5\u09be- 0 \u098f\u09ac\u0982 1 \u09aa\u09cd\u09b0\u09a4\u09bf\u099f\u09bf \u09b8\u09ae\u09cd\u09aa\u09b0\u09cd\u0995\u09c7 \u098f\u0995\u09ac\u09be\u09b0 0 \u098f\u09ac\u0982 \u098f\u0995\u09ac\u09be\u09b0 1 \u09ac\u09b8\u09bf\u09af\u09bc\u09c7 \u09b8\u09ae\u09cd\u09aa\u09b0\u09cd\u0995\u0997\u09c1\u09b2\u09cb \u09af\u09be\u099a\u09be\u0987 \u0995\u09b0\u09be \u09af\u09be\u09af\u09bc\u0964<\/span><\/p>\n\n\n\n\n\n
\u09b8\u09ae\u09cd\u09aa\u09b0\u09cd\u0995<\/b><\/td>\n\u09b8\u09a4\u09cd\u09af\u09a4\u09be \u09af\u09be\u099a\u09be\u0987<\/b><\/td>\n<\/tr>\n
A=0<\/span><\/td>\nA=1<\/span><\/td>\n<\/tr>\n
\n

\\begin{array}{l}\n\n\\mathrm{A}+0=\\mathrm{A} \\\\\n\n\\mathrm{A}+1=1 \\\\\n\n\\mathrm{~A}+\\mathrm{A}=\\mathrm{A} \\\\\n\n\\mathrm{A}+\\bar{A}=1 \\\\\n\n\\mathrm{~A} \\cdot 0=0 \\\\\n\n\\mathrm{~A} \\cdot 1=\\mathrm{A} \\\\\n\n0 . \\mathrm{A}=\\mathrm{A} \\\\\n\n0 . \\mathrm{A}=0 \\\\\n\n\\overline{\\bar{A}}=\\mathrm{A}\n\n\\end{array}<\/span><\/p>\n<\/td>\n

\n

\\begin{array}{c}\n\n0+0=0 \\\\\n\n0+1=1 \\\\\n\n0+0=0 \\\\\n\n0+1=1 \\\\\n\n0.0=0 \\\\\n\n0.1=0 \\\\\n\n0.0=0 \\\\\n\n0.1=0 \\\\\n\n\\overline{\\overline{0}}=\\overline{1}=0\n\n\\end{array}\n\n<\/span><\/p>\n<\/td>\n

\n

\\begin{array}{c}\n\n0+0=0 \\\\\n\n0+1=1 \\\\\n\n0+0=0 \\\\\n\n0+1=1 \\\\\n\n0.0=0 \\\\\n\n0.1=0 \\\\\n\n0.0=0 \\\\\n\n0.1=0 \\\\\n\n\\overline{\\overline{0}}=\\overline{1}=0\n\n\\end{array}<\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u09b2\u099c\u09bf\u0995 \u0997\u09c7\u099f:<\/b><\/h3>\n

<\/b>\u09ac\u09c1\u09b2\u09bf\u09af\u09bc\u09be\u09a8 \u0985\u09cd\u09af\u09be\u09b2\u099c\u09c7\u09ac\u09b0\u09be\u09b0 \u09ac\u09cd\u09af\u09ac\u09b9\u09be\u09b0\u09bf\u0995 \u09aa\u09cd\u09b0\u09df\u09cb\u0997\u09c7\u09b0 \u099c\u09a8\u09cd\u09af \u09a1\u09bf\u099c\u09bf\u099f\u09be\u09b2 \u0987\u09b2\u09c7\u0995\u099f\u09cd\u09b0\u09a8\u09bf\u0995 \u09b8\u09be\u09b0\u09cd\u0995\u09bf\u099f \u09ac\u09cd\u09af\u09ac\u09b9\u09be\u09b0 \u0995\u09b0\u09be \u09b9\u09af\u09bc\u0964 \u09b2\u099c\u09bf\u0995 \u0997\u09c7\u099f \u09b9\u09b2\u09cb \u098f\u0995 \u09a7\u09b0\u09a8\u09c7\u09b0 \u0987\u09b2\u09c7\u0995\u099f\u09cd\u09b0\u09a8\u09bf\u0995 \u09ac\u09b0\u09cd\u09a4\u09a8\u09c0 \u09af\u09be\u09b0 \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u09af\u09cc\u0995\u09cd\u09a4\u09bf\u0995 \u09b8\u09bf\u09a6\u09cd\u09a7\u09be\u09a8\u09cd\u09a4 \u0997\u09a0\u09a8 \u0995\u09b0\u09be \u09af\u09be\u09af\u09bc\u0964 \u098f \u09b8\u0995\u09b2 \u09a1\u09bf\u099c\u09bf\u099f\u09be\u09b2 \u0987\u09b2\u09c7\u0995\u099f\u09cd\u09b0\u09a8\u09bf\u0995 \u09b8\u09be\u09b0\u09cd\u0995\u09bf\u099f\u0995\u09c7 \u09b2\u099c\u09bf\u0995 \u0997\u09c7\u099f \u09ac\u09b2\u09c7\u0964 \u09b2\u099c\u09bf\u0995 \u0997\u09c7\u099f \u09ac\u09b2\u09a4\u09c7 \u09b8\u09be\u09a7\u09be\u09b0\u09a3\u09a4 \u09b2\u099c\u09bf\u0995 \u09b8\u09be\u09b0\u09cd\u0995\u09bf\u099f\u0995\u09c7 \u09ac\u09c1\u099d\u09be\u09af\u09bc \u09af\u09be\u09a4\u09c7 \u098f\u0995 \u09ac\u09be \u098f\u0995\u09be\u09a7\u09bf\u0995 \u0987\u09a8\u09aa\u09c1\u099f \u098f\u09ac\u0982 \u0995\u09c7\u09ac\u09b2 \u098f\u0995\u099f\u09bf \u0986\u0989\u099f\u09aa\u09c1\u099f \u09a5\u09be\u0995\u09c7\u0964 \u09b2\u099c\u09bf\u0995 \u0997\u09c7\u099f\u0997\u09c1\u09b2\u09cb \u09ae\u09c2\u09b2\u09a4 \u098f\u0995\u099f\u09bf \u09a1\u09bf\u099c\u09bf\u099f\u09be\u09b2 \u09aa\u09a6\u09cd\u09a7\u09a4\u09bf\u09b0 \u099c\u09a8\u09cd\u09af \u09ae\u09cc\u09b2\u09bf\u0995 \u09ac\u09cd\u09b2\u0995 \u09b9\u09bf\u09b8\u09c7\u09ac\u09c7 \u0995\u09be\u099c \u0995\u09b0\u09c7 \u09af\u09be \u09ac\u09be\u0987\u09a8\u09be\u09b0\u09bf \u20180\u2019 (Zero) \u0993 ‘1’ (One) \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u0985\u09aa\u09be\u09b0\u09c7\u099f \u09b9\u09af\u09bc\u0964 \u09a4\u09a5\u09cd\u09af \u09aa\u09cd\u09b0\u09ac\u09be\u09b9 (Flow of information) \u09a8\u09bf\u09af\u09bc\u09a8\u09cd\u09a4\u09cd\u09b0\u09a3 \u0995\u09b0\u09c7 \u09ac\u09b2\u09c7\u0987 \u098f\u0995\u09c7 \u0997\u09c7\u099f \u09ac\u09b2\u09be \u09b9\u09af\u09bc\u0964<\/span><\/p>\n

\u09b2\u099c\u09bf\u0995 \u0997\u09c7\u099f\u09c7\u09b0 \u09aa\u09cd\u09b0\u0995\u09be\u09b0\u09ad\u09c7\u09a6 <\/b>: <\/span><\/h3>\n

\u09a1\u09bf\u099c\u09bf\u099f\u09be\u09b2 \u0987\u09b2\u09c7\u0995\u099f\u09cd\u09b0\u09a8\u09bf\u0995\u09cd\u09b8\u09c7 \u09a4\u09bf\u09a8\u099f\u09bf \u09ae\u09cc\u09b2\u09bf\u0995 \u09b2\u099c\u09bf\u0995 \u0997\u09c7\u099f \u09ac\u09cd\u09af\u09ac\u09b9\u09be\u09b0 \u0995\u09b0\u09be \u09b9\u09af\u09bc\u0964 \u098f\u0997\u09c1\u09b2\u09cb \u09b9\u09b2\u09cb (\u09e7) OR \u0997\u09c7\u099f, (\u09e8) AND \u0997\u09c7\u099f \u098f\u09ac\u0982 (\u09e9) NOT \u0997\u09c7\u099f\u0964 \u09a1\u09bf\u099c\u09bf\u099f\u09be\u09b2 \u0987\u09b2\u09c7\u0995\u099f\u09cd\u09b0\u09a8\u09bf\u0995\u09cd\u09b8\u09c7 \u098f\u0987 \u09a4\u09bf\u09a8\u099f\u09bf \u09ae\u09cc\u09b2\u09bf\u0995 \u0997\u09c7\u099f \u099b\u09be\u09a1\u09bc\u09be \u0986\u09b0\u0993 \u0995\u09bf\u099b\u09c1 \u0997\u09c7\u099f \u09ac\u09cd\u09af\u09ac\u09b9\u09be\u09b0 \u0995\u09b0\u09be \u09b9\u09af\u09bc\u0964 \u09af\u09a5\u09be- NAND \u0997\u09c7\u099f, NOR \u0997\u09c7\u099f, XOR \u0997\u09c7\u099f, XNOR \u0997\u09c7\u099f\u0964 \u098f\u0987 \u0997\u09c7\u099f\u0997\u09c1\u09b2\u09cb \u09ae\u09cc\u09b2\u09bf\u0995 \u0997\u09c7\u099f \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u09a4\u09c8\u09b0\u09bf \u0995\u09b0\u09be \u09b9\u09af\u09bc\u0964<\/span><\/p>\n

\u09b8\u09a4\u09cd\u09af\u0995 \u09b8\u09be\u09b0\u09a3\u09bf \u09ac\u09be \u099f\u09cd\u09b0\u09c1\u09a5 \u099f\u09c7\u09ac\u09bf\u09b2 (Truth table) : <\/b><\/h3>\n

\u0987\u09a8\u09aa\u09c1\u099f \u0993 \u0986\u0989\u099f\u09aa\u09c1\u099f \u09b8\u09bf\u0997\u09a8\u09be\u09b2 \u09ac\u09be \u09ad\u09cb\u09b2\u09cd\u099f\u09c7\u099c\u09c7\u09b0 \u09ac\u09bf\u09ad\u09bf\u09a8\u09cd\u09a8 \u09ae\u09be\u09a8\u09c7\u09b0 \u09ae\u09a7\u09cd\u09af\u09c7 \u09b8\u09ae\u09cd\u09aa\u09b0\u09cd\u0995 \u098f\u0995\u099f\u09bf \u099f\u09c7\u09ac\u09bf\u09b2\u09c7\u09b0 \u09b8\u09be\u09b9\u09be\u09af\u09cd\u09af\u09c7 \u09aa\u09cd\u09b0\u0995\u09be\u09b6 \u0995\u09b0\u09b2\u09c7 \u0993\u0987 \u099f\u09c7\u09ac\u09bf\u09b2\u0995\u09c7 \u09b8\u09a4\u09cd\u09af\u0995 \u09b8\u09be\u09b0\u09a3\u09bf \u09ac\u09be \u099f\u09cd\u09b0\u09c1\u09a5 \u099f\u09c7\u09ac\u09bf\u09b2 \u09ac\u09b2\u09c7\u0964<\/span><\/p>\n

\u09b2\u099c\u09bf\u0995 \u0997\u09c7\u099f\u09c7\u09b0 \u09a1\u09bf \u09ae\u09b0\u0997\u09be\u09a8\u09c7\u09b0 \u09a4\u09a4\u09cd\u09a4\u09cd\u09ac : <\/b><\/h3>\n

\u09ab\u09b0\u09be\u09b8\u09bf \u09ac\u09bf\u099c\u09cd\u099e\u09be\u09a8\u09c0 \u09a1\u09bf \u09ae\u09b0\u0997\u09be\u09a8 (De Morgan) \u09a6\u09c1\u099f\u09bf \u09ac\u09bf\u09b6\u09c7\u09b7 \u0997\u09be\u09a3\u09bf\u09a4\u09bf\u0995 \u0989\u09aa\u09aa\u09be\u09a6\u09cd\u09af \u0986\u09ac\u09bf\u09b7\u09cd\u0995\u09be\u09b0 \u0995\u09b0\u09c7\u09a8\u0964 \u09b8\u09c7\u0997\u09c1\u09b2\u09bf \u09a4\u09be\u0981\u09b0 \u09a8\u09be\u09ae \u0985\u09a8\u09c1\u09b8\u09be\u09b0\u09c7 \u09a1\u09bf \u09ae\u09b0\u0997\u09be\u09a8 \u0989\u09aa\u09aa\u09be\u09a6\u09cd\u09af \u09a8\u09be\u09ae\u09c7 \u09aa\u09b0\u09bf\u099a\u09bf\u09a4\u0964<\/span><\/p>\n

(\u0995) \u0989\u09aa\u09aa\u09be\u09a6\u09cd\u09af-\u09e7: <\/b>A \u0993 B \u0987\u09a8\u09aa\u09c1\u099f \u09b8\u09bf\u0997\u09a8\u09be\u09b2\u09c7\u09b0 \u099c\u09a8\u09cd\u09af \u098f\u0995\u099f\u09bf NOR<\/span><\/p>\n

\u0997\u09c7\u099f\u09c7\u09b0 \u0986\u0989\u099f\u09aa\u09c1\u099f \u09b8\u09bf\u0997\u09a8\u09be\u09b2, A \u0993 B \u0987\u09a8\u09aa\u09c1\u099f \u09b8\u09bf\u0997\u09a8\u09be\u09b2\u09c7\u09b0 \u099c\u09a8\u09cd\u09af \u098f\u0995\u099f\u09bf AND Starred<\/span><\/p>\n

\u0997\u09c7\u099f\u09c7\u09b0 \u0986\u0989\u099f\u09aa\u09c1\u099f \u09b8\u09bf\u0997\u09a8\u09be\u09b2\u09c7\u09b0 \u09b8\u09ae\u09be\u09a8 \u09b9\u09af\u09bc\u0964<\/span><\/p>\n

\u0985\u09b0\u09cd\u09a5\u09be\u09ce, \\overline{A+B}=\\bar{A}+\\bar{B}<\/span><\/span><\/p>\n

(\u0996) \u0989\u09aa\u09aa\u09be\u09a6\u09cd\u09af-\u09e8: <\/b>A \u0993 B \u0987\u09a8\u09aa\u09c1\u099f \u09b8\u09bf\u0997\u09a8\u09be\u09b2\u09c7\u09b0 \u099c\u09a8\u09cd\u09af \u098f\u0995\u099f\u09bf NAND \u0997\u09c7\u099f\u09c7\u09b0 \u0986\u0989\u099f\u09aa\u09c1\u099f \u09b8\u09bf\u0997\u09a8\u09be\u09b2, A \u0993 B \u0987\u09a8\u09aa\u09c1\u099f \u09b8\u09bf\u0997\u09a8\u09be\u09b2\u09c7\u09b0 \u099c\u09a8\u09cd\u09af \u098f\u0995\u099f\u09bf OR \u0997\u09c7\u099f\u09c7\u09b0 \u0986\u0989\u099f\u09aa\u09c1\u099f \u09b8\u09bf\u0997\u09a8\u09be\u09b2\u09c7\u09b0 \u09b8\u09ae\u09be\u09a8\u0964<\/span><\/p>\n

\u0985\u09b0\u09cd\u09a5\u09be\u09ce, \\overline{A \\cdot B}=\\bar{A}+\\bar{B}<\/span><\/span><\/p>\n

\u09b2\u099c\u09bf\u0995 \u0997\u09c7\u099f \u0995\u09c0 ? \u09ac\u09c1\u09b2\u09bf\u09af\u09bc\u09be\u09a8 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c7\u09b0 \u09ae\u09cc\u09b2\u09bf\u0995 \u0995\u09be\u09b0\u09cd\u09af\u0995\u09cd\u09b0\u09ae\u0997\u09c1\u09b2\u09bf \u0995\u09c0 \u0995\u09c0 ?<\/b><\/h3>\n

\u09af\u09c7 \u09b8\u0995\u09b2 \u09a1\u09bf\u099c\u09bf\u099f\u09be\u09b2 (digital) \u0987\u09b2\u09c7\u0995\u099f\u09cd\u09b0\u09a8\u09bf\u0995 \u09ac\u09b0\u09cd\u09a4\u09a8\u09c0 \u098f\u0995 \u09ac\u09be \u098f\u0995\u09be\u09a7\u09bf\u0995 \u0987\u09a8\u09aa\u09c1\u099f \u0997\u09cd\u09b0\u09b9\u09a3 \u0995\u09b0\u09c7 \u09ac\u09c1\u09b2\u09bf\u09af\u09bc\u09be\u09a8 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4 \u0985\u09a8\u09c1\u09af\u09be\u09af\u09bc\u09c0 \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09af\u09bc\u09be\u099c\u09be\u09a4 \u0995\u09b0\u09c7 \u098f\u0995\u099f\u09bf\u09ae\u09be\u09a4\u09cd\u09b0 \u0986\u0989\u099f\u09aa\u09c1\u099f \u09aa\u09cd\u09b0\u09a6\u09be\u09a8 \u0995\u09b0\u09c7 \u09a4\u09be\u0995\u09c7 \u09b2\u099c\u09bf\u0995 \u0997\u09c7\u099f \u09ac\u09b2\u09c7\u0964 \u09ac\u09c1\u09b2\u09bf\u09af\u09bc\u09be\u09a8 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c7\u09b0 \u09ae\u09cc\u09b2\u09bf\u0995 \u0995\u09be\u09b0\u09cd\u09af\u0995\u09cd\u09b0\u09ae\u0997\u09c1\u09b2\u09bf \u09b9\u09b2\u09cb (\u0995) \u09b2\u099c\u09bf\u0995 \u09af\u09cb\u0997 \u09ac\u09be OR \u09af\u09cb\u0997 (\u0996) \u09b2\u099c\u09bf\u0995 \u0997\u09c1\u09a3 \u09ac\u09be AND \u0997\u09c1\u09a3 (\u0997) \u09b2\u099c\u09bf\u0995 \u09b8\u09ae\u09cd\u09aa\u09c2\u09b0\u0995 \u09ac\u09be NOT \u0995\u09be\u09b0\u09cd\u09af\u0995\u09cd\u09b0\u09ae\u0964<\/span><\/p>\n

NOT \u0997\u09c7\u099f<\/b>: <\/span><\/h3>\n

NOT \u0997\u09c7\u099f\u09c7 \u098f\u0995\u099f\u09bf \u0987\u09a8\u09aa\u09c1\u099f \u098f\u09ac\u0982 \u098f\u0995\u099f\u09bf \u0986\u0989\u099f\u09aa\u09c1\u099f \u09a5\u09be\u0995\u09c7\u0964 \u098f\u0995\u09c7 \u0987\u09a8\u09ad\u09be\u09b0\u09cd\u099f\u09be\u09b0\u0993 \u09ac\u09b2\u09c7\u0964 NOT \u0997\u09c7\u099f\u09c7\u09b0 \u0987\u09a8\u09aa\u09c1\u099f ‘1’ \u09b9\u09b2\u09c7 \u0986\u0989\u099f\u09aa\u09c1\u099f ‘0’ \u098f\u09ac\u0982 \u0987\u09a8\u09aa\u09c1\u099f \u20180\u2019 \u09b9\u09b2\u09c7 \u0986\u0989\u099f\u09aa\u09c1\u099f ‘1’ \u09b9\u09af\u09bc\u0964 NOT \u0997\u09c7\u099f\u09c7\u09b0 \u09ac\u09c1\u09b2\u09bf\u09af\u09bc\u09be\u09a8 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u09b9\u09b2-<\/span><\/p>\nX=\\bar{A}<\/span>\n

\"\u09b2\u099c\u09bf\u0995<\/p>\n\n\n\n\n\n
A<\/span><\/td>\nX=<\/span>A<\/span><\/td>\n<\/tr>\n
0<\/span><\/td>\n0<\/span><\/td>\n<\/tr>\n
1<\/span><\/td>\n0<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u099a\u09bf\u09a4\u09cd\u09b0: NOT \u0997\u09c7\u099f\u09c7\u09b0 \u099f\u09cd\u09b0\u09c1\u09a5 \u099f\u09c7\u09ac\u09bf\u09b2<\/b><\/p>\n

 <\/p>\n

\u098f\u0996\u09be\u09a8\u09c7 A \u098f\u09b0 \u09aa\u09cd\u09b0\u09a6\u09b0\u09cd\u09b6\u09bf\u09a4 \u09ac\u09be\u09b0 \u09a6\u09cd\u09ac\u09be\u09b0\u09be NOT \u0985\u09aa\u09be\u09b0\u09c7\u09b6\u09a8 \u09ac\u09cb\u099d\u09be\u09a8\u09cb \u09b9\u09df\u09c7\u099b\u09c7\u0964 \u098f\u0987 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3\u0995\u09c7 \u2018X equals not A\u201c\u00a0 \u098f\u09ad\u09be\u09ac\u09c7 \u09aa\u09dc\u09be \u09b9\u09df \u0985\u09a5\u09ac\u09be \u201cX equals the compliment of A\u201d \u098f\u09ad\u09be\u09ac\u09c7 \u09aa\u09dc\u09be \u09b9\u09df\u0964 \u0985\u09aa\u09b0 \u099a\u09bf\u09a4\u09cd\u09b0\u09c7-NOT \u0997\u09c7\u099f\u09c7\u09b0 \u09aa\u09cd\u09b0\u09a4\u09c0\u0995 \u098f\u09ac\u0982 \u0985\u09aa\u09b0 \u099a\u09bf\u09a4\u09cd\u09b0\u09c7 \u099f\u09cd\u09b0\u09c1\u09a5 \u099f\u09c7\u09ac\u09bf\u09b2 (\u09b8\u09a4\u09cd\u09af \u09b8\u09be\u09b0\u09a3\u09bf) \u09a6\u09c7\u0996\u09be\u09a8\u09cb \u09b9\u09df\u09c7\u099b\u09c7\u0964<\/span><\/p>\n

 <\/p>\n

\u099a\u09bf\u09a4\u09cd\u09b0\u09c7 NOT \u0997\u09c7\u099f\u09c7\u09b0 \u098f\u0995\u099f\u09bf \u0987\u09b2\u09c7\u0995\u099f\u09cd\u09b0\u09a8\u09bf\u0995 \u09ac\u09b0\u09cd\u09a4\u09a8\u09c0 \u09a6\u09c7\u0996\u09be\u09a8\u09cb \u09b9\u09af\u09bc\u09c7\u099b\u09c7\u0964 \u09ac\u09b0\u09cd\u09a4\u09a8\u09c0 \u09a5\u09c7\u0995\u09c7 \u09aa\u09cd\u09b0\u09a4\u09c0\u09af\u09bc\u09ae\u09be\u09a8 \u09b9\u09af\u09bc \u09af\u09c7 \u09b8\u09c1\u0987\u099a A \u09ac\u09a8\u09cd\u09a7 \u09a5\u09be\u0995\u09b2\u09c7 \u09ac\u09be\u09a4\u09bf\u099f\u09bf \u099c\u09cd\u09ac\u09b2\u09ac\u09c7 \u09a8\u09be; \u0995\u09c7\u09a8\u09a8\u09be \u09ac\u09be\u09a4\u09bf\u099f\u09bf\u09b0 \u09a6\u09c1\u0987 \u09aa\u09cd\u09b0\u09be\u09a8\u09cd\u09a4\u09c7 \u09ac\u09bf\u09ad\u09ac \u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af \u09b6\u09c2\u09a8\u09cd\u09af \u09b9\u09ac\u09c7 \u098f\u09ac\u0982 \u0995\u09cb\u09a8\u09cb \u09a4\u09a1\u09bc\u09bf\u09ce \u09aa\u09cd\u09b0\u09ac\u09be\u09b9\u09bf\u09a4 \u09b9\u09ac\u09c7 \u09a8\u09be\u0964 \u09b8\u09c1\u0987\u099a A \u0996\u09cb\u09b2\u09be \u09a5\u09be\u0995\u09b2\u09c7 \u09ac\u09be\u09a4\u09bf\u099f\u09bf \u099c\u09cd\u09ac\u09b2\u09ac\u09c7\u0964<\/span><\/p>\n

\"\u09b2\u099c\u09bf\u0995<\/p>\n

OR \u0997\u09c7\u099f <\/b>: <\/span><\/h3>\n

OR \u0997\u09c7\u099f \u098f\u09ae\u09a8 \u098f\u0995 \u09a7\u09b0\u09a8\u09c7\u09b0 \u0997\u09c7\u099f \u09af\u09be\u09b0 \u09a6\u09c1\u0987 \u09ac\u09be \u09a4\u09a4\u09cb\u09a7\u09bf\u0995 \u0987\u09a8\u09aa\u09c1\u099f \u09a5\u09be\u0995\u09c7 \u098f\u09ac\u0982 \u098f\u0995\u099f\u09bf\u09ae\u09be\u09a4\u09cd\u09b0 \u0986\u0989\u099f\u09aa\u09c1\u099f \u09a5\u09be\u0995\u09c7\u0964<\/span><\/p>\n

\u09ac\u09cd\u09af\u09be\u0996\u09cd\u09af\u09be : <\/b>\u098f\u0995\u099f\u09bf OR \u0997\u09c7\u099f-\u098f\u09b0 \u09a6\u09c1\u099f\u09bf \u0987\u09a8\u09aa\u09c1\u099f \u09af\u09a5\u09be\u0995\u09cd\u09b0\u09ae\u09c7 A \u0993 B \u09b9\u09b2\u09c7 \u098f\u09ac\u0982 \u0986\u0989\u099f\u09aa\u09c1\u099f x \u09b9\u09b2\u09c7 OR \u0997\u09c7\u099f-\u098f\u09b0 \u09ac\u09c1\u09b2\u09bf\u09af\u09bc\u09be\u09a8 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u09b9\u09ac\u09c7,<\/span><\/p>\n

X=A+B \u098f\u0996\u09be\u09a8\u09c7 + \u099a\u09bf\u09b9\u09cd\u09a8 \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u09b8\u09be\u09a7\u09be\u09b0\u09a3\u09a4 \u09af\u09cb\u0997 \u09ac\u09c1\u099d\u09be\u09a8\u09cb \u09b9\u09af\u09bc \u09a8\u09be\u0964 \u098f\u0987 + \u099a\u09bf\u09b9\u09cd\u09a8\u09c7\u09b0 \u0985\u09b0\u09cd\u09a5 OR \u0985\u09aa\u09be\u09b0\u09c7\u09b6\u09a8\u0964 \u09a8\u09bf\u09ae\u09cd\u09a8\u09c7 \u098f\u0995\u099f\u09bf \u09a6\u09c1\u0987 \u0987\u09a8\u09aa\u09c1\u099f\u09ac\u09bf\u09b6\u09bf\u09b7\u09cd\u099f OR \u0997\u09c7\u099f\u09c7\u09b0 \u09aa\u09cd\u09b0\u09a4\u09c0\u0995 \u098f\u09ac\u0982 \u099f\u09cd\u09b0\u09c1\u09a5<\/span> \u099f\u09c7\u09ac\u09bf\u09b2 (Truth table) \u09a6\u09c7\u0996\u09be\u09a8\u09cb \u09b9\u09af\u09bc\u09c7\u099b\u09c7\u0964<\/span><\/p>\n

\"2<\/p>\n\n\n\n\n\n\n\n
A<\/span><\/td>\nB<\/span><\/td>\nX=A+B<\/span><\/td>\n<\/tr>\n
0<\/span><\/td>\n0<\/span><\/td>\n0<\/span><\/td>\n<\/tr>\n
0<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n
1<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n
1<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

\u099a\u09bf\u09a4\u09cd\u09b0: \u09a6\u09c1\u0987 \u0987\u09a8\u09aa\u09c1\u099f\u09ac\u09bf\u09b6\u09bf\u09b7\u09cd\u099f OR \u0997\u09c7\u099f\u09c7\u09b0 \u099f\u09cd\u09b0\u09c1\u09a5 \u099f\u09c7\u09ac\u09bf\u09b2<\/b><\/p>\n

\"OR<\/p>\n

\u099a\u09bf\u09a4\u09cd\u09b0\u09c7 OR \u0997\u09c7\u099f\u09c7\u09b0 \u098f\u0995\u099f\u09bf \u0987\u09b2\u09c7\u0995\u09cd\u099f\u09cd\u09b0\u09a8\u09bf\u0995 \u09ac\u09b0\u09cd\u09a4\u09a8\u09c0 \u09a6\u09c7\u0996\u09be\u09a8\u09cb \u09b9\u09af\u09bc\u09c7\u099b\u09c7\u0964 \u098f\u0987 \u09b8\u09ae\u09be\u09a8\u09cd\u09a4\u09b0\u09be\u09b2 \u09b8\u09c1\u0987\u099a \u09ac\u09b0\u09cd\u09a4\u09a8\u09c0\u09b0 \u09af\u09c7\u0995\u09cb\u09a8\u09cb \u098f\u0995\u099f\u09bf \u09b8\u09c1\u0987\u099a \u0985\u09a8 \u0995\u09b0\u09b2\u09c7 \u0985\u09a5\u09ac\u09be \u09a6\u09c1\u099f\u09bf \u09b8\u09c1\u0987\u099a \u098f\u0995\u09b8\u0999\u09cd\u0997\u09c7 \u0985\u09a8 \u0995\u09b0\u09b2\u09c7 \u09ac\u09be\u09a4\u09bf\u099f\u09bf \u099c\u09cd\u09ac\u09b2\u09ac\u09c7\u0964<\/span><\/p>\n

NOR \u0997\u09c7\u099f <\/b>: <\/span>OR \u0997\u09c7\u099f\u09c7\u09b0 \u0986\u0989\u099f\u09aa\u09c1\u099f X-\u0995\u09c7 NOT \u0997\u09c7\u099f\u09c7\u09b0 \u0987\u09a8\u09aa\u09c1\u099f\u09c7\u09b0 \u09b8\u09be\u09a5\u09c7 \u09b8\u0982\u09af\u09c1\u0995\u09cd\u09a4 \u0995\u09b0\u09c7 NOR \u0997\u09c7\u099f \u09a4\u09c8\u09b0\u09bf \u09b9\u09af\u09bc\u0964 NOR \u0997\u09c7\u099f\u09c7\u09b0 \u09a6\u09c1\u0987 \u09ac\u09be \u09a4\u09a4\u09cb\u09a7\u09bf\u0995 \u0987\u09a8\u09aa\u09c1\u099f \u09a5\u09be\u0995\u09a4\u09c7 \u09aa\u09be\u09b0\u09c7 \u098f\u09ac\u0982 \u098f\u0995\u099f\u09bf\u09ae\u09be\u09a4\u09cd\u09b0 \u0986\u0989\u099f\u09aa\u09c1\u099f \u09a5\u09be\u0995\u09c7\u0964 \u098f\u0996\u09be\u09a8\u09c7 \u0986\u0989\u099f\u09aa\u09c1\u099f X-\u098f\u09b0 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u09b9\u09b2\u09cb:<\/span><\/p>\nX=\\text { NOT }(A+B)=\\overline{A+B}<\/span>\n

\"NOR<\/p>\n

OR \u0997\u09c7\u099f \u0993 NOT \u0997\u09c7\u099f\u09c7\u09b0 \u099f\u09cd\u09b0\u09c1\u09a5 \u099f\u09c7\u09ac\u09bf\u09b2\u0995\u09c7 \u098f\u0995\u09a4\u09cd\u09b0\u09bf\u09a4 \u0995\u09b0\u09c7 NOR \u0997\u09c7\u099f\u09c7\u09b0 \u099f\u09cd\u09b0\u09c1\u09a5 \u099f\u09c7\u09ac\u09bf\u09b2 \u09aa\u09be\u0993\u09af\u09bc\u09be \u09af\u09be\u09af\u09bc\u0964 \u099a\u09bf\u09a4\u09cd\u09b0\u09c7 \u09ac\u09c1\u09b2\u09bf\u09af\u09bc\u09be\u09a8 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3\u09b8\u09b9 \u09a6\u09c1\u099f\u09bf \u0987\u09a8\u09aa\u09c1\u099f\u09ac\u09bf\u09b6\u09bf\u09b7\u09cd\u099f NOR \u0997\u09c7\u099f\u09c7 \u09aa\u09cd\u09b0\u09a4\u09c0\u0995 \u099a\u09bf\u09b9\u09cd\u09a8 \u098f\u09ac\u0982 \u099f\u09cd\u09b0\u09c1\u09a5 \u099f\u09c7\u09ac\u09bf\u09b2 \u09a6\u09c7\u0996\u09be\u09a8\u09cb \u09b9\u09af\u09bc\u09c7\u099b\u09c7\u0964<\/span><\/p>\n\n\n\n\n\n\n\n
A<\/span><\/td>\nB<\/span><\/td>\nA+B<\/span><\/td>\nX=\\overline{A+B}<\/span><\/td>\n<\/tr>\n
0<\/span><\/td>\n0<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n
0<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n0<\/span><\/td>\n<\/tr>\n
1<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n0<\/span><\/td>\n<\/tr>\n
1<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n0<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

\u099a\u09bf\u09a4\u09cd\u09b0: NOR \u0997\u09c7\u099f\u09c7\u09b0 \u099f\u09cd\u09b0\u09c1\u09a5 \u099f\u09c7\u09ac\u09bf\u09b2<\/b><\/p>\n

XOR \u0997\u09c7\u099f <\/b>: <\/span><\/h3>\n

Exclusive-OR (XOR) \u0997\u09c7\u099f \u098f\u09ae\u09a8 \u098f\u0995 \u09a7\u09b0\u09a8\u09c7\u09b0 \u0997\u09c7\u099f \u09af\u09be \u098f\u09b0 \u0987\u09a8\u09aa\u09c1\u099f\u09c7 \u09ac\u09bf\u099c\u09cb\u09a1\u09bc \u09b8\u0982\u0996\u09cd\u09af\u09be \u0986\u099b\u09c7\u0964 \u09af\u09be \u0995\u09bf\u09a8\u09be \u099a\u09bf\u09b9\u09cd\u09a8\u09bf\u09a4 \u0995\u09b0\u09c7 XOR \u0997\u09c7\u099f\u09c7\u09b0 \u0987\u09a8\u09aa\u09c1\u099f\u09c7 \u09ac\u09bf\u099c\u09cb\u09a1\u09bc \u09b8\u0982\u0996\u09cd\u09af\u0995 1 \u09b9\u09b2\u09c7 \u0986\u0989\u099f\u09aa\u09c1\u099f 1 \u09b9\u09af\u09bc\u0964 \u09a6\u09c1\u099f\u09bf \u09ac\u09bf\u099f\u09c7\u09b0 \u0985\u09ac\u09b8\u09cd\u09a5\u09be \u09a4\u09c1\u09b2\u09a8\u09be \u0995\u09b0\u09be\u09b0 \u099c\u09a8\u09cd\u09af \u098f\u0987 \u0997\u09c7\u099f \u09ac\u09cd\u09af\u09ac\u09b9\u09be\u09b0 \u0995\u09b0\u09be \u09b9\u09af\u09bc\u0964 OR \u0997\u09c7\u099f, AND \u0997\u09c7\u099f \u098f\u09ac\u0982 NOT \u0997\u09c7\u099f \u09af\u09c1\u0995\u09cd\u09a4 \u0995\u09b0\u09c7 XOR \u0997\u09c7\u099f \u09aa\u09be\u0993\u09af\u09bc\u09be \u09af\u09be\u09af\u09bc\u0964\u00a0<\/span><\/p>\n

XOR \u0997\u09c7\u099f\u09c7\u09b0 \u09ac\u09c1\u09b2\u09bf\u09df\u09be\u09a8 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u09b9\u09b2\u09cb-\u00a0<\/span><\/p>\n

X =<\/span>A\u2295B<\/span> , \u098f\u0996\u09be\u09a8\u09c7 \\oplus<\/span>\u00a0<\/span> \u09a6\u09cd\u09ac\u09be\u09b0\u09be XOR \u0995\u09cd\u09b0\u09bf\u09df\u09be \u09ac\u09cb\u099d\u09be\u09a8\u09cb \u09b9\u09df\u09c7\u099b\u09c7\u0964\u00a0<\/span><\/p>\n

\u00a0\u00a0=<\/span>\\bar{A}<\/span>B<\/span>+A\\bar{B}<\/span><\/span><\/p>\n

\"XOR<\/p>\n

\u099a\u09bf\u09a4\u09cd\u09b0: XOR \u0997\u09c7\u099f\u09c7\u09b0 \u09aa\u09cd\u09b0\u09a4\u09c0\u0995<\/b><\/p>\n\n\n\n\n\n\n\n
A<\/span><\/td>\nB<\/span><\/td>\nA+B<\/span><\/td>\nX=A\u2295B<\/span><\/td>\n<\/tr>\n
0<\/span><\/td>\n0<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n
0<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n0<\/span><\/td>\n<\/tr>\n
1<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n0<\/span><\/td>\n<\/tr>\n
1<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n0<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u099a\u09bf\u09a4\u09cd\u09b0: XOR \u0997\u09c7\u099f\u09c7\u09b0 \u099f\u09cd\u09b0\u09c1\u09a5 \u099f\u09c7\u09ac\u09bf\u09b2<\/b><\/p>\n

 <\/p>\n

X-NOR \u0997\u09c7\u099f\u0983 <\/b><\/h3>\n

X-OR \u0997\u09c7\u099f\u09c7\u09b0 \u0986\u0989\u099f\u09aa\u09c1\u099f\u0995\u09c7 NOT \u0997\u09c7\u099f \u098f\u09b0 \u0987\u09a8\u09aa\u09c1\u099f\u09c7 \u09af\u09c1\u0995\u09cd\u09a4 \u0995\u09b0\u09b2\u09c7 X-NOR \u0997\u09c7\u099f \u09aa\u09be\u0993\u09af\u09bc\u09be \u09af\u09be\u09af\u09bc\u0964 \u09af\u09c7 \u09b2\u099c\u09bf\u0995 \u0997\u09c7\u099f\u09c7\u09b0 \u09ac\u09bf\u099c\u09cb\u09a1\u09bc \u09b8\u0982\u0996\u09cd\u09af\u0995 \u0987\u09a8\u09aa\u09c1\u099f \u09b9\u09b2\u09c7 \u0986\u0989\u099f\u09aa\u09c1\u099f 0 \u09b9\u09af\u09bc \u098f\u09ac\u0982 \u099c\u09cb\u09a1\u09bc \u09b8\u0982\u0996\u09cd\u09af\u0995 \u0987\u09a8\u09aa\u09c1\u099f \u09ac\u09be \u0987\u09a8\u09aa\u09c1\u099f \u09a6\u09c1\u099f\u09bf \u09b8\u09ae\u09be\u09a8 \u09b9\u09b2\u09c7 \u0986\u0989\u099f\u09aa\u09c1\u099f 1 \u09b9\u09af\u09bc \u09a4\u09be\u0995\u09c7 X-NOR \u0997\u09c7\u099f \u09ac\u09b2\u09c7\u0964<\/span><\/p>\n

X-NOR \u0997\u09c7\u099f\u09c7\u09b0 \u09ac\u09c1\u09b2\u09bf\u09df\u09be\u09a8 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u09b9\u09b2\u09cb,\u00a0<\/span><\/p>\n\\begin{aligned}\n\n\\mathrm{X} &=\\overline{A \\oplus B} \\\\\n\n&=\\overline{A B}+\\overline{A B} \\\\\n\n&=A B+\\overline{A B}\n\n\\end{aligned}<\/span>\n

\u099a\u09bf\u09a4\u09cd\u09b0\u09c7\u0983 X-NOR \u0997\u09c7\u099f\u09c7\u09b0 \u09aa\u09cd\u09b0\u09a4\u09c0\u0995 \u099a\u09bf\u09b9\u09cd\u09a8 \u098f\u09ac\u0982 \u099f\u09cd\u09b0\u09c1\u09a5 \u099f\u09c7\u09ac\u09bf\u09b2 \u09a6\u09c7\u0996\u09be\u09a8\u09cb \u09b9\u09df\u09c7\u099b\u09c7\u0964<\/span><\/p>\n

\"X-NOR<\/p>\n

\u099a\u09bf\u09a4\u09cd\u09b0: X-NOR \u0997\u09c7\u099f\u09c7\u09b0 \u09aa\u09cd\u09b0\u09a4\u09c0\u0995<\/b><\/p>\n\n\n\n\n\n\n\n
A<\/span><\/td>\nB<\/span><\/td>\nX=<\/span>A\u2295B<\/span><\/td>\n<\/tr>\n
0<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n
0<\/span><\/td>\n1<\/span><\/td>\n0<\/span><\/td>\n<\/tr>\n
1<\/span><\/td>\n0<\/span><\/td>\n0<\/span><\/td>\n<\/tr>\n
1<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u099a\u09bf\u09a4\u09cd\u09b0: X-NOR \u0997\u09c7\u099f\u09c7\u09b0 \u099f\u09cd\u09b0\u09c1\u09a5 \u099f\u09c7\u09ac\u09bf\u09b2<\/b><\/p>\n

 <\/p>\n

AND \u0997\u09c7\u099f : <\/b><\/h3>\n

AND \u0997\u09c7\u099f\u09c7 \u09a6\u09c1\u0987 \u09ac\u09be \u09a4\u09a4\u09cb\u09a7\u09bf\u0995 \u0987\u09a8\u09aa\u09c1\u099f \u098f\u09ac\u0982 \u098f\u0995\u099f\u09bf \u0986\u0989\u099f\u09aa\u09c1\u099f \u09a5\u09be\u0995\u09c7\u0964 AND \u0997\u09c7\u099f\u09c7\u09b0 \u09b8\u0995\u09b2 \u0987\u09a8\u09aa\u09c1\u099f ‘1’ \u09b9\u09b2\u09c7\u0987 \u0995\u09c7\u09ac\u09b2\u09ae\u09be\u09a4\u09cd\u09b0 \u0986\u0989\u099f\u09aa\u09c1\u099f ‘1’ \u09b9\u09ac\u09c7\u0964 \u0985\u09a8\u09cd\u09af\u09a5\u09be\u09af\u09bc \u0986\u0989\u099f\u09aa\u09c1\u099f 0 \u09b9\u09ac\u09c7\u0964 \u0985\u09b0\u09cd\u09a5\u09be\u09ce, \u09af\u09c7 \u09b2\u099c\u09bf\u0995 \u0997\u09c7\u099f\u09c7\u09b0 \u09b8\u09ac\u0997\u09c1\u09b2\u09cb \u0987\u09a8\u09aa\u09c1\u099f 1 \u09b9\u09b2\u09c7 \u0986\u0989\u099f\u09aa\u09c1\u099f 1 \u09b9\u09af\u09bc \u09a4\u09be\u0995\u09c7 AND \u0997\u09c7\u099f \u09ac\u09b2\u09c7\u0964 \u099a\u09bf\u09a4\u09cd\u09b0\u09c7 \u09a6\u09c1\u0987 \u0987\u09a8\u09aa\u09c1\u099f\u09ac\u09bf\u09b6\u09bf\u09b7\u09cd\u099f \u098f\u0995\u099f\u09bf AND \u0997\u09c7\u099f-\u098f\u09b0 \u09aa\u09cd\u09b0\u09a4\u09c0\u0995 \u098f\u09ac\u0982 \u099f\u09cd\u09b0\u09c1\u09a5 \u099f\u09c7\u09ac\u09bf\u09b2 \u09a6\u09c7\u0996\u09be\u09a8\u09cb \u09b9\u09af\u09bc\u09c7\u099b\u09c7\u0964 \u098f\u09b0 \u0987\u09a8\u09aa\u09c1\u099f \u09a6\u09c1\u099f\u09bf A \u098f\u09ac\u0982 B \u098f\u09ac\u0982 \u0986\u0989\u099f\u09aa\u09c1\u099f x\u0964 AND \u0997\u09c7\u099f\u09c7\u09b0 \u09ac\u09c1\u09b2\u09bf\u09af\u09bc\u09be\u09a8 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u09b9\u09b2\u09cb,<\/span><\/p>\n

X = A.B<\/span><\/p>\n

\u098f\u0987 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3\u09c7\u09b0 \u2018 . \u2019 \u099a\u09bf\u09b9\u09cd\u09a8\u099f\u09bf \u09ac\u09c1\u09b2\u09bf\u09df\u09be\u09a8 AND \u0985\u09aa\u09be\u09b0\u09c7\u09b6\u09a8 \u09ac\u09c1\u099d\u09be\u09df, \u098f\u099f\u09bf \u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u0997\u09c1\u09a3 \u09ac\u09cb\u099d\u09be\u09df \u09a8\u09be\u0964<\/span><\/p>\n

X = A.B \u09b8\u09ae\u09c0\u0995\u09b0\u09a3\u099f\u09bf \u09aa\u09a1\u09bc\u09be\u09b0 \u09a8\u09bf\u09af\u09bc\u09ae \u09b9\u09b2\u09cb \u201cX equals A and B\u201d\u0964 \u098f\u09b0 \u0985\u09b0\u09cd\u09a5 x-\u098f\u09b0 \u09ae\u09be\u09a8 1 \u09b9\u09ac\u09c7 \u09af\u0996\u09a8 A \u098f\u09ac\u0982 B \u0989\u09ad\u09af\u09bc\u0987 1 \u09b9\u09ac\u09c7\u0964 AND \u0985\u09aa\u09be\u09b0\u09c7\u09b6\u09a8\u09c7\u09b0 \u099c\u09a8\u09cd\u09af \u09ac\u09c1\u09b2\u09bf\u09af\u09bc\u09be\u09a8 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u09b2\u09c7\u0996\u09a4\u09c7 \u09b8\u09be\u09a7\u09be\u09b0\u09a3\u09a4 \u2018.’ \u099a\u09bf\u09b9\u09cd\u09a8 \u09ac\u09be\u09a6 \u09a6\u09bf\u09af\u09bc\u09c7 \u09b2\u09c7\u0996\u09be \u09b9\u09af\u09bc,\u00a0<\/span><\/p>\n

X= AB.<\/span><\/p>\n

\"AND<\/p>\n\n\n\n\n\n\n\n
A<\/span><\/td>\nB<\/span><\/td>\nX=<\/span>AB<\/span><\/td>\n<\/tr>\n
0<\/span><\/td>\n0<\/span><\/td>\n0<\/span><\/td>\n<\/tr>\n
0<\/span><\/td>\n1<\/span><\/td>\n0<\/span><\/td>\n<\/tr>\n
1<\/span><\/td>\n0<\/span><\/td>\n0<\/span><\/td>\n<\/tr>\n
1<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u00a0 \u00a0 \u099a\u09bf\u09a4\u09cd\u09b0: <\/b>AND<\/span> \u0997\u09c7\u099f\u09c7\u09b0 \u099f\u09cd\u09b0\u09c1\u09a5 \u099f\u09c7\u09ac\u09bf\u09b2<\/b><\/p>\n

 <\/p>\n

NAND \u0997\u09c7\u099f <\/b>: <\/span><\/h3>\n

AND \u0997\u09c7\u099f\u09c7\u09b0 \u0986\u0989\u099f\u09aa\u09c1\u099f\u09c7 X \u0995\u09c7 NOT \u0997\u09c7\u099f\u09c7\u09b0 \u0987\u09a8\u09aa\u09c1\u099f \u098f\u09b0 \u09b8\u09be\u09a5\u09c7 \u09af\u09c1\u0995\u09cd\u09a4 \u0995\u09b0\u09c7 NAND \u0997\u09c7\u099f \u09a4\u09c8\u09b0\u09bf \u0995\u09b0\u09be \u09b9\u09af\u09bc\u0964 AND \u0997\u09c7\u099f \u09b9\u09a4\u09c7 \u09a8\u09bf\u09b0\u09cd\u0997\u09a4 \u09b8\u0982\u0995\u09c7\u09a4\u099f\u09bf NOT \u0997\u09c7\u099f\u09c7\u09b0 \u09ae\u09a7\u09cd\u09af \u09a6\u09bf\u09af\u09bc\u09c7 \u09aa\u09cd\u09b0\u09ac\u09be\u09b9\u09bf\u09a4 \u0995\u09b0\u09b2\u09c7 NAND \u0997\u09c7\u099f\u09c7\u09b0 \u0995\u09be\u099c \u09b9\u09af\u09bc\u0964 \u09b2\u099c\u09bf\u0995 \u09b8\u09be\u09b0\u09cd\u0995\u09bf\u099f \u09a4\u09c8\u09b0\u09bf\u09b0 \u099c\u09a8\u09cd\u09af NAND \u0997\u09c7\u099f\u09c7\u09b0 \u09ac\u09b9\u09c1\u09b2 \u09aa\u09cd\u09b0\u099a\u09b2\u09a8 \u09b0\u09af\u09bc\u09c7\u099b\u09c7\u0964<\/span><\/p>\n

\u099a\u09bf\u09a4\u09cd\u09b0\u09c7 NAND \u0997\u09c7\u099f\u09c7\u09b0 \u09aa\u09cd\u09b0\u09a4\u09c0\u0995 \u098f\u09ac\u0982 \u09e7\u09e6\u09ea\u09e9(\u0996)-\u098f \u098f\u09b0 \u09b8\u09ae\u09a4\u09c1\u09b2\u09cd\u09af \u09b8\u09be\u09b0\u09cd\u0995\u09bf\u099f \u09a6\u09c7\u0996\u09be\u09a8\u09cb \u09b9\u09af\u09bc\u09c7\u099b\u09c7\u0964 \u09a6\u09c1\u0987 \u0987\u09a8\u09aa\u09c1\u099f\u09ac\u09bf\u09b6\u09bf\u09b7\u09cd\u099f NAND \u0997\u09c7\u099f\u09c7\u09b0 \u09ac\u09c1\u09b2\u09bf\u09af\u09bc\u09be\u09a8 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u09b9\u09b2\u09cb,<\/span><\/p>\nX=\\overline{A.B}<\/span>\n

AND \u098f\u09ac\u0982 NOT \u0997\u09c7\u099f\u09c7\u09b0 \u099f\u09cd\u09b0\u09c1\u09a5 \u099f\u09c7\u09ac\u09bf\u09b2\u0995\u09c7 \u098f\u0995\u09a4\u09cd\u09b0\u09bf\u09a4 \u0995\u09b0\u09c7 NAND \u0997\u09c7\u099f\u09c7\u09b0 \u099f\u09cd\u09b0\u09c1\u09a5 \u099f\u09c7\u09ac\u09bf\u09b2 \u09aa\u09be\u0993\u09df\u09be \u09af\u09be\u09df\u0964 \u099a\u09bf\u09a4\u09cd\u09b0\u09c7 NAND \u0997\u09c7\u099f\u09c7\u09b0 \u099f\u09cd\u09b0\u09c1\u09a5 \u099f\u09c7\u09ac\u09bf\u09b2 \u09a6\u09c7\u0996\u09be\u09a8\u09cb \u09b9\u09df\u09c7\u099b\u09c7\u0964 \u099f\u09cd\u09b0\u09c1\u09a5 \u099f\u09c7\u09ac\u09bf\u09b2 \u09a5\u09c7\u0995\u09c7 \u09a6\u09c7\u0996\u09be \u09af\u09be\u09df \u09af\u09c7, AND \u0997\u09c7\u099f\u09c7\u09b0 \u0986\u0989\u099f\u09aa\u09c1\u099f\u0995\u09c7 \u0987\u09a8\u09ad\u09be\u09b0\u09b6\u09a8 \u0995\u09b0\u09b2\u09c7 \u09af\u09be \u09b9\u09df \u09a4\u09be NAND \u0997\u09c7\u099f\u09c7\u09b0 \u0986\u0989\u099f\u09aa\u09c1\u099f \u09b9\u09df\u0964<\/span><\/p>\n

\"NAND<\/p>\n\n\n\n\n\n\n\n
A<\/span><\/td>\nB<\/span><\/td>\nAB<\/span><\/td>\nX=\\overline{A.B}<\/span><\/td>\n<\/tr>\n
0<\/span><\/td>\n0<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n
0<\/span><\/td>\n1<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n
1<\/span><\/td>\n0<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n
1<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n0<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u00a0 \u00a0 \u099a\u09bf\u09a4\u09cd\u09b0: N<\/b>AND<\/b> \u0997\u09c7\u099f\u09c7\u09b0 \u099f\u09cd\u09b0\u09c1\u09a5 \u099f\u09c7\u09ac\u09bf\u09b2<\/b><\/p>\n

 <\/p>\n

NAND \u0997\u09c7\u099f \u098f\u09b0 \u09ac\u09cd\u09af\u09ac\u09b9\u09be\u09b0 <\/b>:\u00a0<\/span><\/h3>\n

Car interior \u09b2\u09be\u0987\u099f\u09bf\u0982 \u09a1\u09bf\u099c\u09be\u0987\u09a8\u09c7 \u09ac\u09cd\u09af\u09ac\u09b9\u09c3\u09a4 \u09b9\u09af\u09bc\u0964 \u09af\u0996\u09a8 \u09a6\u09c1\u099f\u09bf \u09a6\u09b0\u099c\u09be \u09ac\u09a8\u09cd\u09a7 \u0995\u09b0\u09be \u09b9\u09af\u09bc\u0964 \u09a4\u0996\u09a8 \u09b2\u09be\u0987\u099f \u098f\u09b0 \u09b8\u09c1\u0987\u099a \u09ac\u09a8\u09cd\u09a7 \u0995\u09b0\u09be\u09b0 \u0995\u09be\u099c\u09c7 NAND \u0997\u09c7\u099f \u09ac\u09cd\u09af\u09ac\u09b9\u09c3\u09a4 \u09b9\u09af\u09bc\u0964<\/span><\/p>\n

\"Car<\/p>\n

\u09ac\u09bf\u09ad\u09bf\u09a8\u09cd\u09a8 \u09aa\u09cd\u09b0\u0995\u09be\u09b0 \u0997\u09c7\u099f \u09a4\u09c8\u09b0\u09bf\u0995\u09b0\u09a3-\u098f\u09b0 \u09b8\u099a\u09bf\u09a4\u09cd\u09b0 \u0989\u09a6\u09be\u09b9\u09b0\u09a3\u0964<\/b><\/p>\n

\u09e7\u0964 \u098f\u0995\u099f\u09bf \u09ac\u09cd\u09af\u09be\u099f\u09be\u09b0\u09bf, \u09a6\u09c1\u099f\u09bf \u09b8\u09c1\u0987\u099a \u0993 \u098f\u0995\u099f\u09bf \u09ac\u09c8\u09a6\u09cd\u09af\u09c1\u09a4\u09bf\u0995 \u09ac\u09be\u09a4\u09bf \u09ac\u09cd\u09af\u09ac\u09b9\u09be\u09b0 \u0995\u09b0\u09c7 \u098f\u0995\u099f\u09bf (i) OR \u0993 \u098f\u0995\u099f\u09bf (i) AND \u0997\u09c7\u099f \u09a4\u09c8\u09b0\u09bf \u0995\u09b0\u0964<\/b><\/p>\n

(\u0995) \u099a\u09bf\u09a4\u09cd\u09b0 \u09e7-\u098f\u09b0 \u09ac\u09b0\u09cd\u09a4\u09a8\u09c0\u099f\u09bf \u09b9\u09b2\u09cb \u098f\u0995\u099f\u09be OR \u0997\u09c7\u099f \u09ac\u09b0\u09cd\u09a4\u09a8\u09c0\u0964 \u098f\u0996\u09be\u09a8\u09c7 A \u0985\u09a5\u09ac\u09be B \u0985\u09a5\u09ac\u09be \u0989\u09ad\u09af\u09bc \u09b8\u09c1\u0987\u099a \u0985\u09a8 \u0995\u09b0\u09b2\u09c7 \u09ac\u09be\u09a4\u09bf\u099f\u09bf \u099c\u09cd\u09ac\u09b2\u09ac\u09c7\u0964 \u098f\u09b0 \u099f\u09cd\u09b0\u09c1\u09a5 \u099f\u09c7\u09ac\u09bf\u09b2 \u09b8\u09be\u09b0\u09a3\u09bf \u09e7-\u098f \u09a6\u09c7\u0996\u09be\u09a8\u09cb \u09b9\u09af\u09bc\u09c7\u099b\u09c7\u0964<\/span><\/p>\n

\"OR<\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u09b8\u09be\u09b0\u09a3\u09bf \u09e7<\/b><\/p>\n\n\n\n\n\n\n
A<\/span><\/td>\nB<\/span><\/td>\nY<\/span><\/td>\n<\/tr>\n
0<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n
1<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n
1<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u00a0 \u00a0 \u099a\u09bf\u09a4\u09cd\u09b0: N<\/b>AND<\/b> \u0997\u09c7\u099f\u09c7\u09b0 \u099f\u09cd\u09b0\u09c1\u09a5 \u099f\u09c7\u09ac\u09bf\u09b2<\/b><\/p>\n

(\u0996) \u099a\u09bf\u09a4\u09cd\u09b0 \u09e8-\u098f\u09b0 \u09ac\u09b0\u09cd\u09a4\u09a8\u09c0\u099f\u09bf \u09b9\u099a\u09cd\u099b\u09c7 \u098f\u0995\u099f\u09bf AND \u0997\u09c7\u099f \u09ac\u09b0\u09cd\u09a4\u09a8\u09c0\u0964 \u0995\u09c7\u09a8\u09a8\u09be, A \u098f\u09ac\u0982 B \u0989\u09ad\u09af\u09bc \u09b8\u09c1\u0987\u099a \u0985\u09a8 \u0995\u09b0\u09b2\u09c7\u0987 \u0995\u09c7\u09ac\u09b2\u0964 \u09ac\u09be\u09a4\u09bf\u099f\u09bf \u099c\u09cd\u09ac\u09b2\u09ac\u09c7\u0964 \u098f\u09b0 \u099f\u09cd\u09b0\u09c1\u09a5 \u099f\u09c7\u09ac\u09bf\u09b2 \u09b8\u09be\u09b0\u09a3\u09bf \u09e8-\u098f \u09a6\u09c7\u0996\u09be\u09a8\u09cb \u09b9\u09af\u09bc\u09c7\u099b\u09c7\u0964<\/span><\/p>\n

\"AND<\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u09b8\u09be\u09b0\u09a3\u09bf \u09e8<\/b><\/p>\n\n\n\n\n\n\n
A<\/span><\/td>\nB<\/span><\/td>\nY<\/span><\/td>\n<\/tr>\n
0<\/span><\/td>\n1<\/span><\/td>\n0<\/span><\/td>\n<\/tr>\n
1<\/span><\/td>\n0<\/span><\/td>\n0<\/span><\/td>\n<\/tr>\n
1<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

\u09a8\u09bf\u099a\u09c7\u09b0 \u09b2\u099c\u09bf\u0995 \u09ac\u09b0\u09cd\u09a4\u09a8\u09c0\u09b0 \u0986\u0989\u099f\u09aa\u09c1\u099f Y \u0995\u09cb\u09a8 \u0985\u09ac\u09b8\u09cd\u09a5\u09be\u09df \u0986\u099b\u09c7?<\/b><\/p>\n

\"\u09b2\u099c\u09bf\u0995<\/p>\n

\u098f\u0996\u09be\u09a8\u09c7 \u09a6\u09c1\u099f\u09bf AND \u0997\u09c7\u099f \u0993 \u098f\u0995\u099f\u09bf NOT \u0997\u09c7\u099f \u09b0\u09af\u09bc\u09c7\u099b\u09c7\u0964 Y=1 \u09b9\u09ac\u09c7 \u09a4\u0996\u09a8\u0987 \u09af\u0996\u09a8 \u09b6\u09c7\u09b7\u09c7\u09b0 AND \u0997\u09c7\u099f\u09c7\u09b0 \u0989\u09ad\u09af\u09bc \u0987\u09a8\u09aa\u09c1\u099f\u09c7\u0987 1 \u09b9\u09ac\u09c7\u0964 \u098f\u0996\u09a8 \u09b6\u09c1\u09b0\u09c1\u09b0 AND \u0997\u09c7\u099f\u09c7 A \u0993 B \u0989\u09ad\u09af\u09bc \u0987\u09a8\u09aa\u09c1\u099f 1 \u09b9\u09b2\u09c7 \u0986\u0989\u099f\u09aa\u09c1\u099f \u09b9\u09ac\u09c7 1\u0964 \u0986\u09ac\u09be\u09b0 \u09a8\u09bf\u099a\u09c7\u09b0 NOT \u0997\u09c7\u099f\u09c7\u09b0 \u0987\u09a8\u09aa\u09c1\u099f\u00a0 C=0 \u09b9\u09b2\u09c7 \u098f\u09b0 \u0986\u0989\u099f\u09aa\u09c1\u099f 1 \u09b9\u09ac\u09c7\u0964 \u09b8\u09c7 \u0985\u09ac\u09b8\u09cd\u09a5\u09be\u09af\u09bc \u09b6\u09c7\u09b7\u09c7\u09b0 AND \u0997\u09c7\u099f \u0985\u09a8 \u09b9\u09ac\u09c7 \u0985\u09b0\u09cd\u09a5\u09be\u09ce \u09a4\u0996\u09a8 Y=1 \u09aa\u09be\u0993\u09af\u09bc\u09be \u09af\u09be\u09ac\u09c7\u0964 \u09b8\u09c1\u09a4\u09b0\u09be\u0982, A=1, B=1, \u098f\u09ac\u0982 C=0 \u09b9\u09b2\u09c7 Y=1 \u09b9\u09ac\u09c7\u0964 \u098f\u09b0 \u099f\u09cd\u09b0\u09c1\u09a5 \u099f\u09c7\u09ac\u09bf\u09b2 \u09b8\u09be\u09b0\u09a3\u09bf \u09e9-\u098f \u09a6\u09c7\u0996\u09be\u09a8\u09cb \u09b9\u09b2\u09cb<\/span>\u0964<\/span><\/p>\n

 <\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u09b8\u09be\u09b0\u09a3\u09bf 3<\/b><\/p>\n\n\n\n\n\n\n\n
A<\/span><\/td>\nB<\/span><\/td>\nA.B<\/span><\/td>\nC<\/span><\/td>\n\\bar{C}<\/span><\/span><\/td>\nY=A.B.<\/span>\\bar{C}<\/span><\/span><\/td>\n<\/tr>\n
0<\/span><\/td>\n0<\/span><\/td>\n0<\/span><\/td>\n0 \u09ac\u09be 1<\/span><\/td>\n1 \u09ac\u09be 0<\/span><\/td>\n0<\/span><\/td>\n<\/tr>\n
0<\/span><\/td>\n1<\/span><\/td>\n0<\/span><\/td>\n0 \u09ac\u09be 1<\/span><\/td>\n1 \u09ac\u09be 0<\/span><\/td>\n0<\/span><\/td>\n<\/tr>\n
1<\/span><\/td>\n0<\/span><\/td>\n0<\/span><\/td>\n0 \u09ac\u09be 1<\/span><\/td>\n1 \u09ac\u09be 0<\/span><\/td>\n0<\/span><\/td>\n<\/tr>\n
1<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n0 \u09ac\u09be 1<\/span><\/td>\n1 \u09ac\u09be 0<\/span><\/td>\n1 \u09ac\u09be 0<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u099f\u09cd\u09b0\u09c1\u09a5 \u099f\u09c7\u09ac\u09bf\u09b2 \u09a5\u09c7\u0995\u09c7 \u09a6\u09c7\u0996\u09be \u09af\u09be\u09df \u09af\u09c7, <\/span>A=1<\/span>, <\/span>B=1<\/span> \u098f\u09ac\u0982 <\/span>C=0<\/span> \u09b9\u09b2\u09c7 <\/span>Y=1<\/span> \u09b9\u09ac\u09c7\u00a0\u00a0<\/span><\/p>\n

\u09e9\u0964 \u098f\u0995\u099f\u09bf NAND \u0997\u09c7\u099f \u09ac\u09cd\u09af\u09ac\u09b9\u09be\u09b0 \u0995\u09b0\u09c7 OR, AND \u098f\u09ac\u0982 NOT \u0997\u09c7\u099f \u09a4\u09c8\u09b0\u09bf \u0995\u09b0\u0964\u00a0<\/b><\/p>\n

(\u0995) NAND \u0997\u09c7\u099f \u09a5\u09c7\u0995\u09c7 OR \u0997\u09c7\u099f \u09a4\u09c8\u09b0\u09bf\u0995\u09b0\u09a3 :<\/b><\/p>\n

\"NAND<\/p>\n

\u099f\u09cd\u09b0\u09c1\u09a5 \u099f\u09c7\u09ac\u09bf\u09b2<\/b><\/p>\n\n\n\n\n\n\n\n
A<\/span><\/td>\nB<\/span><\/td>\n\\bar{A}<\/span><\/span><\/td>\n\\bar{B}<\/span><\/span><\/td>\nY<\/span><\/td>\n<\/tr>\n
0<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n0<\/span><\/td>\n<\/tr>\n
0<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n
1<\/span><\/td>\n0<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n
1<\/span><\/td>\n1<\/span><\/td>\n0<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

(\u0996) NAND \u0997\u09c7\u099f \u09a5\u09c7\u0995\u09c7 AND \u0997\u09c7\u099f \u09a4\u09c8\u09b0\u09bf\u0995\u09b0\u09a3 :<\/b><\/p>\n

\"NAND<\/p>\n\n\n\n\n\n\n\n
A<\/span><\/td>\nBY^{\\prime}<\/span><\/span><\/td>\n<\/td>\nY<\/span><\/td>\n<\/tr>\n
0<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n0<\/span><\/td>\n<\/tr>\n
1<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n0<\/span><\/td>\n<\/tr>\n
0<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n0<\/span><\/td>\n<\/tr>\n
1<\/span><\/td>\n1<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u099f\u09cd\u09b0\u09c1\u09a5 \u099f\u09c7\u09ac\u09bf\u09b2\u00a0<\/b><\/p>\n

 <\/p>\n

(\u0997) NAND \u0997\u09c7\u099f \u09a5\u09c7\u0995\u09c7 NOT \u0997\u09c7\u099f \u09a4\u09c8\u09b0\u09bf\u0995\u09b0\u09a3 :<\/b><\/p>\n

\"NAND<\/p>\n

\u099f\u09cd\u09b0\u09c1\u09a5 \u099f\u09c7\u09ac\u09bf\u09b2\u00a0<\/b><\/p>\n\n\n\n\n\n
A<\/span><\/td>\nB=A<\/span><\/td>\nY<\/span><\/td>\n<\/tr>\n
0<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n
1<\/span><\/td>\n1<\/span><\/td>\n0<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

 <\/p>\n

\u09ea\u0964 \u098f\u0995\u099f\u09bf NOR \u0997\u09c7\u099f \u09ac\u09cd\u09af\u09ac\u09b9\u09be\u09b0 \u0995\u09b0\u09c7 OR, AND \u098f\u09ac\u0982 NOT \u0997\u09c7\u099f \u09a4\u09c8\u09b0\u09bf\u0995\u09b0\u09a3 :<\/b><\/p>\n

(\u0995) NOR \u0997\u09c7\u099f \u09a5\u09c7\u0995\u09c7 OR \u0997\u09c7\u099f \u09a4\u09c8\u09b0\u09bf\u0995\u09b0\u09a3 :<\/b><\/p>\n

\"NOR<\/p>\n

\u099f\u09cd\u09b0\u09c1\u09a5 \u099f\u09c7\u09ac\u09bf\u09b2\u00a0<\/b><\/p>\n\n\n\n\n\n\n\n
A<\/span><\/td>\nB<\/span><\/td>\nY<\/span><\/td>\n<\/tr>\n
0<\/span><\/td>\n0<\/span><\/td>\n0<\/span><\/td>\n<\/tr>\n
0<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n
1<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n
1<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

 <\/p>\n

(\u0996) NOR \u0997\u09c7\u099f \u09a5\u09c7\u0995\u09c7 AND \u0997\u09c7\u099f \u09a4\u09c8\u09b0\u09bf\u0995\u09b0\u09a3 :<\/b><\/p>\n

\"NOR<\/p>\n

\u099f\u09cd\u09b0\u09c1\u09a5 \u099f\u09c7\u09ac\u09bf\u09b2:<\/strong><\/p>\n\n\n\n\n\n\n\n
A<\/span><\/td>\nB<\/span><\/td>\nY<\/span><\/td>\n<\/tr>\n
0<\/span><\/td>\n0<\/span><\/td>\n0<\/span><\/td>\n<\/tr>\n
0<\/span><\/td>\n1<\/span><\/td>\n0<\/span><\/td>\n<\/tr>\n
1<\/span><\/td>\n0<\/span><\/td>\n0<\/span><\/td>\n<\/tr>\n
1<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\n

\u09eb\u0964 \u09b6\u09c1\u09a7\u09c1\u09ae\u09be\u09a4\u09cd\u09b0 NOR \u0997\u09c7\u099f \u09ac\u09cd\u09af\u09ac\u09b9\u09be\u09b0 \u0995\u09b0\u09c7 XOR \u0997\u09c7\u099f \u09a4\u09c8\u09b0\u09bf \u0995\u09b0\u0964\u00a0<\/b><\/p>\n

\"NOR<\/p>\n

\u09ec\u0964 \u09b6\u09c1\u09a7\u09c1\u09ae\u09be\u09a4\u09cd\u09b0 NAND \u0997\u09c7\u099f \u09ac\u09cd\u09af\u09be\u09ac\u09b9\u09be\u09b0 \u0995\u09b0\u09c7 XOR \u0997\u09c7\u099f \u09a4\u09c8\u09b0\u09bf \u0995\u09b0\u0964\u00a0<\/b><\/p>\n

\"NAND<\/p>\n

\u09ed\u0964 \u099a\u09be\u09b0\u099f\u09bf NAND \u0997\u09c7\u099f\u09c7\u09b0 \u09b8\u09ae\u09ac\u09be\u09df\u09c7 \u0997\u09a0\u09bf\u09a4 \u09b2\u099c\u09bf\u0995 \u0997\u09c7\u099f\u09c7\u09b0 \u099f\u09cd\u09b0\u09c1\u09a5 \u099f\u09c7\u09ac\u09bf\u09b2 \u09a4\u09c8\u09b0\u09bf \u0995\u09b0\u0964\u00a0<\/b><\/p>\n

\"\u099a\u09be\u09b0\u099f\u09bf<\/p>\n\\text { \u09b8\u0982\u0995\u09c7\u09a4: } y_{1}=\\overline{A \\cdot B}, y_{2}=\\overline{A \\cdot y_{1}}, y_{3}=\\overline{y_{1} B}, Y=\\overline{y_{2} \\cdot y_{3}}<\/span>\n

\u099f\u09cd\u09b0\u09c1\u09a5 \u099f\u09c7\u09ac\u09bf\u09b2\u00a0<\/b><\/p>\n\n\n\n\n\n\n\n
A<\/span><\/td>\ny_{1}=\\overline{A \\cdot B}<\/span><\/span><\/td>\ny_{2}=\\overline{A \\cdot y_{1}}<\/span><\/td>\ny_{3}=\\overline{y_{1} B}<\/span><\/td>\n<\/td>\nY=\\overline{y_{2} \\cdot y_{3}}<\/span><\/td>\n<\/tr>\n
0<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n0<\/span><\/td>\n<\/tr>\n
0<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n
1<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n
1<\/span><\/td>\n1<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n0<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

NAND \u0997\u09c7\u099f \u098f\u09ac\u0982 NOR \u0997\u09c7\u099f\u09c7\u09b0 \u09b8\u09b0\u09cd\u09ac\u099c\u09a8\u09c0\u09a8\u09a4\u09be \u09ac\u09b2\u09a4\u09c7 \u0995\u09c0 \u09ac\u09c1\u099d ?<\/b><\/p>\n

OR, AND \u098f\u09ac\u0982 NOT \u098f\u0987 \u09a4\u09bf\u09a8\u099f\u09bf \u09ae\u09cc\u09b2\u09bf\u0995 \u0997\u09c7\u099f\u09c7\u09b0 \u09b8\u09ae\u09a8\u09cd\u09ac\u09af\u09bc\u09c7 \u09af\u09c7\u0995\u09cb\u09a8\u09cb \u09b2\u099c\u09bf\u0995 \u0997\u09c7\u099f \u09a4\u09c8\u09b0\u09bf \u0995\u09b0\u09be \u09b8\u09ae\u09cd\u09ad\u09ac\u0964 \u09a4\u09ac\u09c7 \u09b6\u09c1\u09a7\u09c1 NAND \u0997\u09c7\u099f \u09a6\u09bf\u09af\u09bc\u09c7 OR, AND \u098f\u09ac\u0982 NOT \u0997\u09c7\u099f \u09ac\u09be\u09b8\u09cd\u09a4\u09ac\u09be\u09af\u09bc\u09a8 \u09b8\u09ae\u09cd\u09ad\u09ac\u0964 \u0985\u09a8\u09c1\u09b0\u09c2\u09aa\u09ad\u09be\u09ac\u09c7 NOR \u0997\u09c7\u099f \u09a6\u09bf\u09af\u09bc\u09c7\u0993 \u09af\u09c7\u0995\u09cb\u09a8\u09cb \u09b2\u099c\u09bf\u0995 \u09b8\u09be\u09b0\u09cd\u0995\u09bf\u099f \u09ac\u09be\u09b8\u09cd\u09a4\u09ac\u09be\u09af\u09bc\u09a8 \u09b8\u09ae\u09cd\u09ad\u09ac\u0964 \u098f\u099c\u09a8\u09cd\u09af NAND \u098f\u09ac\u0982 NOR \u0997\u09c7\u099f\u0995\u09c7 \u09b8\u09b0\u09cd\u09ac\u099c\u09a8\u09c0\u09a8 \u0997\u09c7\u099f \u09ac\u09b2\u09c7\u0964<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

\u09b2\u099c\u09bf\u0995 \u0997\u09c7\u099f \u0986\u09b2\u09cb\u099a\u09a8\u09be\u09b0 \u09aa\u09c2\u09b0\u09cd\u09ac\u09c7 \u09ac\u09c1\u09b2\u09bf\u09af\u09bc\u09be\u09a8 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4 (Boolean algebra) \u09b8\u09ae\u09cd\u09ac\u09a8\u09cd\u09a7\u09c7 \u09a7\u09be\u09b0\u09a3\u09be \u09a5\u09be\u0995\u09be \u09a6\u09b0\u0995\u09be\u09b0\u0964 George Boole (1815-1864) \u09b8\u09b0\u09cd\u09ac\u09aa\u09cd\u09b0\u09a5\u09ae \u09ac\u09c1\u09b2\u09bf\u09af\u09bc\u09be\u09a8 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4\u09c7\u09b0 \u09a7\u09be\u09b0\u09a3\u09be \u09a6\u09c7\u09a8\u0964 \u09ac\u09c1\u09b2\u09bf\u09af\u09bc\u09be\u09a8 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4 (Boolean Algebra) : \u09ac\u09c1\u09b2\u09bf\u09af\u09bc\u09be\u09a8 \u09ac\u09c0\u099c\u0997\u09a3\u09bf\u09a4 \u09ae\u09c2\u09b2\u09a4 \u09b2\u099c\u09bf\u0995\u09c7\u09b0 \u09b8\u09a4\u09cd\u09af \u098f\u09ac\u0982 \u09ae\u09bf\u09a5\u09cd\u09af\u09be \u098f\u0987 \u09a6\u09c1\u0987 \u09b8\u09cd\u09a4\u09b0\u09c7\u09b0 \u0989\u09aa\u09b0 \u09ad\u09bf\u09a4\u09cd\u09a4\u09bf \u0995\u09b0\u09c7 \u09a4\u09c8\u09b0\u09bf \u09b9\u09af\u09bc\u09c7\u099b\u09c7\u0964<\/p>\n

Read More<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[4254,3029,50,51],"tags":[2494,2491,2496,976,2493,2492,2495,2490],"_links":{"self":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/3474"}],"collection":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/users\/9"}],"replies":[{"embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/comments?post=3474"}],"version-history":[{"count":22,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/3474\/revisions"}],"predecessor-version":[{"id":15072,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/3474\/revisions\/15072"}],"wp:attachment":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/media?parent=3474"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/categories?post=3474"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/tags?post=3474"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}