{"id":476082,"date":"2023-08-09T07:25:33","date_gmt":"2023-08-09T07:25:33","guid":{"rendered":""},"modified":"2023-09-05T11:11:59","modified_gmt":"2023-09-05T11:11:59","slug":"boolean-expression","status":"publish","type":"wiki","link":"https:\/\/oneproxy.pro\/ir\/wiki\/boolean-expression\/","title":{"rendered":"\u0628\u06cc\u0627\u0646 \u0628\u0648\u0644\u06cc"},"content":{"rendered":"<p>\u0639\u0628\u0627\u0631\u0627\u062a \u0628\u0648\u0644\u06cc \u0639\u0646\u0627\u0635\u0631 \u0627\u0633\u0627\u0633\u06cc \u062f\u0631 \u0632\u0645\u06cc\u0646\u0647 \u0639\u0644\u0648\u0645 \u06a9\u0627\u0645\u067e\u06cc\u0648\u062a\u0631 \u0647\u0633\u062a\u0646\u062f \u06a9\u0647 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u067e\u0627\u06cc\u0647 \u0627\u06cc \u0628\u0631\u0627\u06cc \u062a\u0635\u0645\u06cc\u0645 \u06af\u06cc\u0631\u06cc\u060c \u0637\u0631\u0627\u062d\u06cc \u0645\u062f\u0627\u0631 \u0648 \u0639\u0645\u0644\u06cc\u0627\u062a \u067e\u06cc\u0686\u06cc\u062f\u0647 \u0645\u0646\u0637\u0642\u06cc \u0639\u0645\u0644 \u0645\u06cc \u06a9\u0646\u0646\u062f. \u0627\u06cc\u0646 \u0646\u0627\u0645 \u0628\u0647 \u0627\u0641\u062a\u062e\u0627\u0631 \u062c\u0648\u0631\u062c \u0628\u0648\u0644\u060c \u0631\u06cc\u0627\u0636\u06cc\u062f\u0627\u0646 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc\u060c \u06a9\u0647 \u0628\u0631\u0627\u06cc \u0627\u0648\u0644\u06cc\u0646 \u0628\u0627\u0631 \u06cc\u06a9 \u0633\u06cc\u0633\u062a\u0645 \u062c\u0628\u0631\u06cc \u0645\u0646\u0637\u0642 \u0631\u0627 \u062f\u0631 \u0627\u0648\u0627\u0633\u0637 \u0642\u0631\u0646 \u0646\u0648\u0632\u062f\u0647\u0645 \u062a\u0639\u0631\u06cc\u0641 \u06a9\u0631\u062f\u060c \u06af\u0631\u0641\u062a\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a. \u0639\u0628\u0627\u0631\u062a Boolean \u0639\u0628\u0627\u0631\u062a\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0628\u0633\u062a\u0647 \u0628\u0647 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0645\u062a\u063a\u06cc\u0631\u0647\u0627\u06cc \u0622\u0646 \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u062f\u0631\u0633\u062a \u06cc\u0627 \u0646\u0627\u062f\u0631\u0633\u062a \u0628\u0627\u0634\u062f.<\/p>\n<h2>\u0633\u0641\u0631\u06cc \u06a9\u0648\u062a\u0627\u0647 \u062f\u0631 \u0637\u0648\u0644 \u0632\u0645\u0627\u0646: \u0631\u06cc\u0634\u0647 \u0647\u0627\u06cc \u0628\u06cc\u0627\u0646 \u0628\u0648\u0644\u06cc<\/h2>\n<p>\u0639\u0628\u0627\u0631\u062a \u0628\u0648\u0644\u06cc \u0648\u062c\u0648\u062f \u062e\u0648\u062f \u0631\u0627 \u0645\u062f\u06cc\u0648\u0646 \u06a9\u0627\u0631 \u067e\u06cc\u0634\u06af\u0627\u0645 \u062c\u0648\u0631\u062c \u0628\u0648\u0644\u060c \u0631\u06cc\u0627\u0636\u06cc\u062f\u0627\u0646 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc \u062e\u0648\u062f\u0622\u0645\u0648\u062e\u062a\u0647 \u0627\u0633\u062a. \u06a9\u0627\u0631 \u0628\u0648\u0644 \u062f\u0631 \u0627\u0648\u0627\u0633\u0637 \u0642\u0631\u0646 \u0646\u0648\u0632\u062f\u0647\u0645 \u0628\u0631 \u0645\u0646\u0637\u0642 \u062c\u0628\u0631\u06cc \u0645\u062a\u0645\u0631\u06a9\u0632 \u0628\u0648\u062f \u06a9\u0647 \u062f\u0631 \u06a9\u062a\u0627\u0628 \u0627\u0648 &quot;\u0642\u0648\u0627\u0646\u06cc\u0646 \u0641\u06a9\u0631&quot; \u0645\u0646\u062a\u0634\u0631 \u0634\u062f\u0647 \u062f\u0631 \u0633\u0627\u0644 1854 \u0628\u0647 \u0627\u0648\u062c \u0631\u0633\u06cc\u062f. \u0627\u06cc\u0646 \u0627\u062b\u0631 \u0622\u0646\u0686\u0647 \u0631\u0627 \u06a9\u0647 \u0627\u0645\u0631\u0648\u0632\u0647 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u062c\u0628\u0631 \u0628\u0648\u0644\u06cc \u0634\u0646\u0627\u062e\u062a\u0647 \u0645\u06cc \u0634\u0648\u062f\u060c \u0645\u0639\u0631\u0641\u06cc \u06a9\u0631\u062f\u060c \u06cc\u06a9 \u0633\u06cc\u0633\u062a\u0645 \u062f\u0648\u062a\u0627\u06cc\u06cc \u0627\u0632 \u0645\u0646\u0637\u0642 \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u0647\u0631 \u0645\u062a\u063a\u06cc\u0631 \u06cc\u0627 \u062f\u0631\u0633\u062a \u0627\u0633\u062a \u06cc\u0627 \u0646\u0627\u062f\u0631\u0633\u062a<\/p>\n<p>\u062f\u0631 \u062d\u0627\u0644\u06cc \u06a9\u0647 \u062c\u0628\u0631 \u0628\u0648\u0644\u06cc \u062f\u0631 \u0627\u0635\u0644 \u06cc\u06a9 \u0645\u0641\u0647\u0648\u0645 \u0641\u0644\u0633\u0641\u06cc \u0628\u0631\u0627\u06cc \u0631\u0633\u0645\u06cc \u06a9\u0631\u062f\u0646 \u0627\u0633\u062a\u062f\u0644\u0627\u0644 \u0645\u0646\u0637\u0642\u06cc \u0628\u0648\u062f\u060c \u062a\u0627 \u062f\u0647\u0647 1930 \u0628\u0648\u062f \u06a9\u0647 \u06a9\u0627\u0631\u0628\u0631\u062f \u0622\u0646 \u062f\u0631 \u062d\u0648\u0632\u0647 \u0627\u0644\u06a9\u062a\u0631\u0648\u0646\u06cc\u06a9 \u0648 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u0622\u0634\u06a9\u0627\u0631 \u0634\u062f. \u06a9\u0644\u0648\u062f \u0634\u0627\u0646\u0648\u0646\u060c \u062f\u0627\u0646\u0634\u062c\u0648\u06cc \u062c\u0648\u0627\u0646 \u06a9\u0627\u0631\u0634\u0646\u0627\u0633\u06cc \u0627\u0631\u0634\u062f \u062f\u0631 MIT\u060c \u0645\u062a\u0648\u062c\u0647 \u0634\u062f \u06a9\u0647 \u0645\u0646\u0637\u0642 \u0628\u0627\u06cc\u0646\u0631\u06cc \u0633\u0627\u062f\u0647 \u062c\u0628\u0631 \u0628\u0648\u0644\u06cc \u0631\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0628\u0631\u0627\u06cc \u0633\u0627\u062f\u0647 \u06a9\u0631\u062f\u0646 \u0637\u0631\u0627\u062d\u06cc \u0645\u062f\u0627\u0631\u0647\u0627\u06cc \u0627\u0644\u06a9\u062a\u0631\u0648\u0646\u06cc\u06a9\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0631\u062f \u0648 \u0631\u0627\u0647 \u0631\u0627 \u0628\u0631\u0627\u06cc \u06a9\u0627\u0645\u067e\u06cc\u0648\u062a\u0631 \u062f\u06cc\u062c\u06cc\u062a\u0627\u0644 \u0645\u062f\u0631\u0646 \u0647\u0645\u0648\u0627\u0631 \u06a9\u0631\u062f.<\/p>\n<h2>\u0642\u0644\u0628 \u0645\u0646\u0637\u0642: \u06a9\u0627\u0648\u0634 \u062f\u0631 \u0628\u06cc\u0627\u0646 \u0628\u0648\u0644\u06cc<\/h2>\n<p>\u0639\u0628\u0627\u0631\u0627\u062a \u0628\u0648\u0644\u06cc \u0627\u0633\u0627\u0633 \u062a\u0645\u0627\u0645 \u0645\u0646\u0637\u0642 \u062f\u06cc\u062c\u06cc\u062a\u0627\u0644 \u0631\u0627 \u062a\u0634\u06a9\u06cc\u0644 \u0645\u06cc \u062f\u0647\u0646\u062f \u0648 \u062c\u0632\u0621 \u0627\u0635\u0644\u06cc \u0632\u0628\u0627\u0646 \u0647\u0627\u06cc \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc\u060c \u067e\u0631\u0633 \u0648 \u062c\u0648\u0647\u0627\u06cc \u067e\u0627\u06cc\u06af\u0627\u0647 \u062f\u0627\u062f\u0647 \u0648 \u0637\u0631\u0627\u062d\u06cc \u0633\u062e\u062a \u0627\u0641\u0632\u0627\u0631 \u0647\u0633\u062a\u0646\u062f. \u0627\u06cc\u0646 \u0639\u0628\u0627\u0631\u0627\u062a \u0627\u0632 \u0639\u0645\u0644\u06af\u0631\u0647\u0627\u06cc \u0645\u0646\u0637\u0642\u06cc \u0645\u0627\u0646\u0646\u062f AND\u060c OR \u0648 NOT \u0628\u0631\u0627\u06cc \u062f\u0633\u062a\u06a9\u0627\u0631\u06cc \u0645\u062a\u063a\u06cc\u0631\u0647\u0627\u06cc \u0628\u0627\u06cc\u0646\u0631\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u06a9\u0646\u0646\u062f \u06a9\u0647 \u0627\u0645\u06a9\u0627\u0646 \u0627\u0631\u0632\u06cc\u0627\u0628\u06cc \u0634\u0631\u0627\u06cc\u0637 \u067e\u06cc\u0686\u06cc\u062f\u0647 \u0631\u0627 \u0641\u0631\u0627\u0647\u0645 \u0645\u06cc \u06a9\u0646\u062f.<\/p>\n<p>\u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644\u060c \u0639\u0628\u0627\u0631\u062a Boolean \u0631\u0627 \u062f\u0631 \u0646\u0638\u0631 \u0628\u06af\u06cc\u0631\u06cc\u062f <code data-no-translation=\"\">A AND B<\/code>. \u0627\u06cc\u0646 \u0639\u0628\u0627\u0631\u062a \u0628\u0647 \u0627\u0631\u0632\u06cc\u0627\u0628\u06cc \u0645\u06cc \u0634\u0648\u062f <code data-no-translation=\"\">true<\/code> \u0627\u06af\u0631 \u0647\u0631 \u062f\u0648 <code data-no-translation=\"\">A<\/code> \u0648 <code data-no-translation=\"\">B<\/code> \u0647\u0633\u062a\u0646\u062f <code data-no-translation=\"\">true<\/code>\u060c \u0648 <code data-no-translation=\"\">false<\/code> \u062f\u0631 \u063a\u06cc\u0631 \u0627\u06cc\u0646 \u0635\u0648\u0631\u062a. \u0628\u0647 \u0647\u0645\u06cc\u0646 \u062a\u0631\u062a\u06cc\u0628\u060c <code data-no-translation=\"\">A OR B<\/code> \u0627\u0631\u0632\u06cc\u0627\u0628\u06cc \u062e\u0648\u0627\u0647\u062f \u06a9\u0631\u062f <code data-no-translation=\"\">true<\/code> \u0627\u06af\u0631 \u0647\u0631 \u06a9\u062f\u0627\u0645 <code data-no-translation=\"\">A<\/code> \u06cc\u0627 <code data-no-translation=\"\">B<\/code> (\u06cc\u0627 \u0647\u0631 \u062f\u0648) \u0647\u0633\u062a\u0646\u062f <code data-no-translation=\"\">true<\/code>.<\/p>\n<h2>\u0644\u0627\u06cc\u0647 \u0628\u0631\u062f\u0627\u0631\u06cc \u0627\u0632 \u0644\u0627\u06cc\u0647 \u0647\u0627: \u0633\u0627\u062e\u062a\u0627\u0631 \u062f\u0627\u062e\u0644\u06cc \u0639\u0628\u0627\u0631\u0627\u062a \u0628\u0648\u0644\u06cc<\/h2>\n<p>\u0633\u0627\u062e\u062a\u0627\u0631 \u06cc\u06a9 \u0639\u0628\u0627\u0631\u062a \u0628\u0648\u0644\u06cc \u062a\u0627 \u062d\u062f \u0632\u06cc\u0627\u062f\u06cc \u0628\u0647 \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0622\u0646 \u0628\u0633\u062a\u06af\u06cc \u062f\u0627\u0631\u062f. \u0639\u0628\u0627\u0631\u0627\u062a \u0633\u0627\u062f\u0647 \u0634\u0627\u0645\u0644 \u06cc\u06a9 \u0639\u0645\u0644\u06af\u0631 \u0645\u0646\u0637\u0642\u06cc \u0648 \u062f\u0648 \u0645\u062a\u063a\u06cc\u0631 \u0627\u0633\u062a. \u0628\u0631\u0627\u06cc \u0645\u062b\u0627\u0644\u060c <code data-no-translation=\"\">A AND B<\/code> \u06cc\u0627 <code data-no-translation=\"\">A OR B<\/code>. \u0639\u0628\u0627\u0631\u0627\u062a \u067e\u06cc\u0686\u06cc\u062f\u0647 \u0645\u06cc \u062a\u0648\u0627\u0646\u0646\u062f \u0645\u062a\u063a\u06cc\u0631\u0647\u0627 \u0648 \u0639\u0645\u0644\u06af\u0631\u0647\u0627\u06cc \u0645\u062a\u0639\u062f\u062f\u06cc \u0631\u0627 \u0634\u0627\u0645\u0644 \u0634\u0648\u0646\u062f \u0648 \u0627\u0632 \u067e\u0631\u0627\u0646\u062a\u0632 \u0628\u0631\u0627\u06cc \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0646 \u062a\u0631\u062a\u06cc\u0628 \u0639\u0645\u0644\u06cc\u0627\u062a\u060c \u0645\u0634\u0627\u0628\u0647 \u0639\u0628\u0627\u0631\u0627\u062a \u062d\u0633\u0627\u0628\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u0646\u062f. \u0645\u062b\u0644\u0627\u060c <code data-no-translation=\"\">(A AND B) OR (C AND D)<\/code>.<\/p>\n<p>\u0639\u0628\u0627\u0631\u0627\u062a \u0628\u0648\u0644\u06cc \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0642\u0648\u0627\u0639\u062f \u062c\u0628\u0631 \u0628\u0648\u0644\u06cc \u0627\u0631\u0632\u06cc\u0627\u0628\u06cc \u0645\u06cc \u0634\u0648\u0646\u062f\u060c \u0645\u0634\u0627\u0628\u0647 \u0646\u062d\u0648\u0647 \u0627\u0631\u0632\u06cc\u0627\u0628\u06cc \u0639\u0628\u0627\u0631\u0627\u062a \u062d\u0633\u0627\u0628\u06cc \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0642\u0648\u0627\u0646\u06cc\u0646 \u062d\u0633\u0627\u0628. \u062a\u0641\u0627\u0648\u062a \u0627\u0635\u0644\u06cc \u062f\u0631 \u0645\u0627\u0647\u06cc\u062a \u0645\u0642\u0627\u062f\u06cc\u0631 \u0648 \u0639\u0645\u0644\u06af\u0631\u0647\u0627\u06cc \u0645\u0648\u0631\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0646\u0647\u0641\u062a\u0647 \u0627\u0633\u062a. \u0639\u0628\u0627\u0631\u0627\u062a \u0628\u0648\u0644\u06cc \u0628\u0647 \u062c\u0627\u06cc \u0645\u0642\u0627\u062f\u06cc\u0631 \u0639\u062f\u062f\u06cc \u0648 \u0639\u0645\u0644\u06af\u0631\u0647\u0627\u06cc \u062d\u0633\u0627\u0628\u06cc\u060c \u0627\u0632 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0628\u0627\u06cc\u0646\u0631\u06cc (\u062f\u0631\u0633\u062a\/\u0646\u0627\u062f\u0631\u0633\u062a) \u0648 \u0639\u0645\u0644\u06af\u0631\u0647\u0627\u06cc \u0645\u0646\u0637\u0642\u06cc (AND\/OR\/NOT) \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u06a9\u0646\u0646\u062f.<\/p>\n<h2>\u0631\u0645\u0632\u06af\u0634\u0627\u06cc\u06cc \u0648\u06cc\u0698\u06af\u06cc \u0647\u0627: \u0648\u06cc\u0698\u06af\u06cc \u0647\u0627\u06cc \u06a9\u0644\u06cc\u062f\u06cc \u0639\u0628\u0627\u0631\u0627\u062a \u0628\u0648\u0644\u06cc<\/h2>\n<p>\u0639\u0628\u0627\u0631\u0627\u062a \u0628\u0648\u0644\u06cc \u0686\u0646\u062f\u06cc\u0646 \u0648\u06cc\u0698\u06af\u06cc \u0645\u0646\u062d\u0635\u0631 \u0628\u0647 \u0641\u0631\u062f \u0631\u0627 \u0646\u0634\u0627\u0646 \u0645\u06cc \u062f\u0647\u0646\u062f \u06a9\u0647 \u0622\u0646\u0647\u0627 \u0631\u0627 \u0627\u0632 \u0633\u0627\u06cc\u0631 \u0627\u0646\u0648\u0627\u0639 \u0639\u0628\u0627\u0631\u0627\u062a \u0645\u062a\u0645\u0627\u06cc\u0632 \u0645\u06cc \u06a9\u0646\u062f:<\/p>\n<ol>\n<li>\n<p>\u0637\u0628\u06cc\u0639\u062a \u0628\u0627\u06cc\u0646\u0631\u06cc: \u0639\u0628\u0627\u0631\u0627\u062a \u0628\u0648\u0644\u06cc \u0627\u0632 \u0645\u062a\u063a\u06cc\u0631\u0647\u0627\u06cc \u0628\u0627\u06cc\u0646\u0631\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u06a9\u0646\u0646\u062f \u0648 \u0646\u062a\u0627\u06cc\u062c \u0628\u0627\u06cc\u0646\u0631\u06cc \u0631\u0627 \u0628\u0631\u0645\u06cc \u06af\u0631\u062f\u0627\u0646\u062f. \u0647\u0631 \u0645\u062a\u063a\u06cc\u0631 \u0641\u0642\u0637 \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u062f\u0648 \u062d\u0627\u0644\u062a \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u062f - \u062f\u0631\u0633\u062a \u06cc\u0627 \u0646\u0627\u062f\u0631\u0633\u062a.<\/p>\n<\/li>\n<li>\n<p>\u0639\u0645\u0644\u06af\u0631\u0647\u0627\u06cc \u0645\u0646\u0637\u0642\u06cc: \u0627\u06cc\u0646 \u0639\u0628\u0627\u0631\u0627\u062a \u0627\u0632 \u0639\u0645\u0644\u06af\u0631\u0647\u0627\u06cc \u0645\u0646\u0637\u0642\u06cc \u0645\u0627\u0646\u0646\u062f AND\u060c OR \u0648 NOT \u0628\u0647 \u062c\u0627\u06cc \u0639\u0645\u0644\u06af\u0631\u0647\u0627\u06cc \u062d\u0633\u0627\u0628\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0634\u062f\u0647 \u062f\u0631 \u0639\u0628\u0627\u0631\u0627\u062a \u0639\u062f\u062f\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u06a9\u0646\u0646\u062f.<\/p>\n<\/li>\n<li>\n<p>\u067e\u0631\u0627\u0646\u062a\u0632: \u067e\u0631\u0627\u0646\u062a\u0632\u0647\u0627 \u0631\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646 \u062f\u0631 \u0639\u0628\u0627\u0631\u0627\u062a \u0628\u0648\u0644\u06cc \u0628\u0631\u0627\u06cc \u062a\u063a\u06cc\u06cc\u0631 \u062a\u0631\u062a\u06cc\u0628 \u0639\u0645\u0644\u06cc\u0627\u062a\u060c \u0645\u0634\u0627\u0628\u0647 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0622\u0646\u0647\u0627 \u062f\u0631 \u0639\u0628\u0627\u0631\u0627\u062a \u062d\u0633\u0627\u0628\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0631\u062f.<\/p>\n<\/li>\n<li>\n<p>\u0646\u062a\u0627\u06cc\u062c \u0642\u0637\u0639\u06cc: \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0645\u062c\u0645\u0648\u0639\u0647 \u0648\u0631\u0648\u062f\u06cc \u0647\u0627\u06cc \u06cc\u06a9\u0633\u0627\u0646\u060c \u06cc\u06a9 \u0639\u0628\u0627\u0631\u062a \u0628\u0648\u0644\u06cc \u0647\u0645\u06cc\u0634\u0647 \u0646\u062a\u06cc\u062c\u0647 \u06cc\u06a9\u0633\u0627\u0646\u06cc \u0631\u0627 \u0628\u0647 \u0647\u0645\u0631\u0627\u0647 \u062e\u0648\u0627\u0647\u062f \u062f\u0627\u0634\u062a.<\/p>\n<\/li>\n<\/ol>\n<h2>\u0627\u0646\u0648\u0627\u0639 \u06af\u0648\u0646\u0627\u06af\u0648\u0646: \u0627\u0646\u0648\u0627\u0639 \u0639\u0628\u0627\u0631\u0627\u062a \u0628\u0648\u0644\u06cc<\/h2>\n<p>\u0639\u0628\u0627\u0631\u0627\u062a \u0628\u0648\u0644\u06cc \u0631\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0628\u0631 \u0627\u0633\u0627\u0633 \u0633\u0627\u062e\u062a\u0627\u0631 \u0648 \u06a9\u0627\u0631\u0628\u0631\u062f\u0634\u0627\u0646 \u0628\u0647 \u0627\u0646\u0648\u0627\u0639 \u0645\u062e\u062a\u0644\u0641\u06cc \u0637\u0628\u0642\u0647 \u0628\u0646\u062f\u06cc \u06a9\u0631\u062f. \u062f\u0631 \u0627\u06cc\u0646\u062c\u0627 \u0628\u0631\u062e\u06cc \u0627\u0632 \u0631\u0627\u06cc\u062c \u062a\u0631\u06cc\u0646 \u0627\u0646\u0648\u0627\u0639 \u0622\u0646 \u0622\u0648\u0631\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a:<\/p>\n<ol>\n<li>\n<p>Simple Boolean Expression: \u0627\u0632 \u06cc\u06a9 \u0639\u0645\u0644\u06af\u0631 \u0648 \u062f\u0648 \u0639\u0645\u0644\u0648\u0646\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u06a9\u0646\u062f. \u0628\u0631\u0627\u06cc \u0645\u062b\u0627\u0644\u060c <code data-no-translation=\"\">A AND B<\/code>.<\/p>\n<\/li>\n<li>\n<p>\u0639\u0628\u0627\u0631\u062a Boolean Complex: \u0634\u0627\u0645\u0644 \u0686\u0646\u062f\u06cc\u0646 \u0639\u0645\u0644\u06af\u0631 \u0648 \u0639\u0645\u0644\u0648\u0646\u062f \u0627\u0633\u062a. \u0628\u0631\u0627\u06cc \u0645\u062b\u0627\u0644\u060c <code data-no-translation=\"\">(A AND B) OR (C AND D)<\/code>.<\/p>\n<\/li>\n<li>\n<p>\u0639\u0628\u0627\u0631\u062a Boolean Negated: \u062d\u0627\u0648\u06cc \u06cc\u06a9 \u0639\u0645\u0644\u06af\u0631 NOT \u0627\u0633\u062a \u06a9\u0647 \u0645\u0642\u062f\u0627\u0631 \u0635\u062f\u0642 \u0639\u0645\u0644\u0648\u0646\u062f \u062e\u0648\u062f \u0631\u0627 \u0645\u0639\u06a9\u0648\u0633 \u0645\u06cc \u06a9\u0646\u062f. \u0628\u0631\u0627\u06cc \u0645\u062b\u0627\u0644\u060c <code data-no-translation=\"\">NOT (A AND B)<\/code>.<\/p>\n<\/li>\n<li>\n<p>\u0639\u0628\u0627\u0631\u062a \u0628\u0648\u0644\u06cc \u062a\u0648\u062f\u0631\u062a\u0648: \u0634\u0627\u0645\u0644 \u06cc\u06a9 \u06cc\u0627 \u0686\u0646\u062f \u0639\u0628\u0627\u0631\u062a \u0628\u0648\u0644\u06cc \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0639\u0645\u0644\u0648\u0646\u062f \u062f\u0631 \u06cc\u06a9 \u0639\u0628\u0627\u0631\u062a \u0628\u0648\u0644\u06cc \u0628\u0632\u0631\u06af\u062a\u0631 \u0627\u0633\u062a. \u0628\u0631\u0627\u06cc \u0645\u062b\u0627\u0644\u060c <code data-no-translation=\"\">(A AND (B OR C)) AND (D OR E)<\/code>.<\/p>\n<\/li>\n<\/ol>\n<h2>\u067e\u06cc\u0627\u062f\u0647 \u0633\u0627\u0632\u06cc \u0647\u0627\u06cc \u0639\u0645\u0644\u06cc: \u0639\u0628\u0627\u0631\u0627\u062a \u0628\u0648\u0644\u06cc \u062f\u0631 \u062d\u0627\u0644 \u0627\u0633\u062a\u0641\u0627\u062f\u0647<\/h2>\n<p>\u0639\u0628\u0627\u0631\u0627\u062a \u0628\u0648\u0644\u06cc \u0628\u0647 \u0637\u0648\u0631 \u06af\u0633\u062a\u0631\u062f\u0647 \u062f\u0631 \u0628\u0631\u0646\u0627\u0645\u0647 \u0647\u0627\u06cc \u06a9\u0627\u0631\u0628\u0631\u062f\u06cc \u0645\u062e\u062a\u0644\u0641\u060c \u0627\u0632 \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u0646\u0631\u0645 \u0627\u0641\u0632\u0627\u0631 \u0648 \u0645\u062f\u06cc\u0631\u06cc\u062a \u067e\u0627\u06cc\u06af\u0627\u0647 \u062f\u0627\u062f\u0647 \u06af\u0631\u0641\u062a\u0647 \u062a\u0627 \u0637\u0631\u0627\u062d\u06cc \u0633\u062e\u062a \u0627\u0641\u0632\u0627\u0631 \u0648 \u0645\u062f\u0627\u0631\u0647\u0627\u06cc \u062f\u06cc\u062c\u06cc\u062a\u0627\u0644 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f.<\/p>\n<ol>\n<li>\n<p>\u062f\u0631 \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc \u0646\u0631\u0645 \u0627\u0641\u0632\u0627\u0631 \u0627\u0632 \u0639\u0628\u0627\u0631\u0627\u062a \u0628\u0648\u0644\u06cc \u0628\u0631\u0627\u06cc \u062a\u0635\u0645\u06cc\u0645 \u06af\u06cc\u0631\u06cc \u0628\u0631 \u0627\u0633\u0627\u0633 \u0634\u0631\u0627\u06cc\u0637 \u062e\u0627\u0635 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f. \u0645\u062b\u0644\u0627\u060c <code data-no-translation=\"\">if (A AND B) then perform action<\/code>.<\/p>\n<\/li>\n<li>\n<p>\u062f\u0631 \u0645\u062f\u06cc\u0631\u06cc\u062a \u067e\u0627\u06cc\u06af\u0627\u0647 \u062f\u0627\u062f\u0647\u060c \u0639\u0628\u0627\u0631\u0627\u062a \u0628\u0648\u0644\u06cc \u0627\u0633\u0627\u0633 \u067e\u0631\u0633 \u0648 \u062c\u0648\u0647\u0627\u06cc SQL \u0631\u0627 \u062a\u0634\u06a9\u06cc\u0644 \u0645\u06cc \u062f\u0647\u0646\u062f. \u0628\u0631\u0627\u06cc \u0645\u062b\u0627\u0644\u060c <code data-no-translation=\"\">SELECT * FROM Customers WHERE Age&gt;18 AND City='New York'<\/code>.<\/p>\n<\/li>\n<li>\n<p>\u062f\u0631 \u0637\u0631\u0627\u062d\u06cc \u0645\u062f\u0627\u0631 \u062f\u06cc\u062c\u06cc\u062a\u0627\u0644\u060c \u0639\u0628\u0627\u0631\u0627\u062a \u0628\u0648\u0644\u06cc \u0639\u0645\u0644\u06a9\u0631\u062f \u06cc\u06a9 \u0645\u062f\u0627\u0631 \u062f\u06cc\u062c\u06cc\u062a\u0627\u0644 \u0631\u0627 \u0646\u0634\u0627\u0646 \u0645\u06cc \u062f\u0647\u062f. \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644\u060c \u06cc\u06a9 \u06af\u06cc\u062a AND \u0633\u0627\u062f\u0647 \u0631\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0628\u0627 \u0639\u0628\u0627\u0631\u062a Boolean \u0646\u0634\u0627\u0646 \u062f\u0627\u062f <code data-no-translation=\"\">A AND B<\/code>.<\/p>\n<\/li>\n<\/ol>\n<p>\u0686\u0627\u0644\u0634 \u06a9\u0644\u06cc\u062f\u06cc \u0639\u0628\u0627\u0631\u0627\u062a \u0628\u0648\u0644\u06cc \u0645\u062f\u06cc\u0631\u06cc\u062a \u067e\u06cc\u0686\u06cc\u062f\u06af\u06cc \u0622\u0646\u0647\u0627 \u0628\u0627 \u0628\u0632\u0631\u06af\u062a\u0631 \u0634\u062f\u0646 \u0622\u0646\u0647\u0627 \u0627\u0633\u062a. \u0627\u06cc\u0646 \u0627\u063a\u0644\u0628 \u0628\u0627 \u0634\u06a9\u0633\u062a\u0646 \u0639\u0628\u0627\u0631\u0627\u062a \u067e\u06cc\u0686\u06cc\u062f\u0647 \u0628\u0647 \u0628\u062e\u0634\u200c\u0647\u0627\u06cc \u0633\u0627\u062f\u0647\u200c\u062a\u0631 \u06cc\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0627\u0628\u0632\u0627\u0631\u0647\u0627\u06cc\u06cc \u0645\u0627\u0646\u0646\u062f \u0646\u0642\u0634\u0647\u200c\u0647\u0627\u06cc Karnaugh \u0628\u0631\u0627\u06cc \u0633\u0627\u062f\u0647\u200c\u0633\u0627\u0632\u06cc \u062d\u0644 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/p>\n<h2>\u0645\u0642\u0627\u06cc\u0633\u0647 \u0647\u0627 \u0648 \u062a\u0645\u0627\u06cc\u0632\u0647\u0627: \u0628\u06cc\u0627\u0646 \u0628\u0648\u0644\u06cc \u062f\u0631 \u0645\u0642\u0627\u0628\u0644 \u0645\u0641\u0627\u0647\u06cc\u0645 \u0645\u0634\u0627\u0628\u0647<\/h2>\n<table>\n<thead>\n<tr>\n<th>\u0645\u0641\u0647\u0648\u0645<\/th>\n<th>\u0634\u0631\u062d<\/th>\n<th>\u0645\u0642\u0627\u06cc\u0633\u0647 \u0628\u0627 \u0628\u06cc\u0627\u0646 \u0628\u0648\u0644\u06cc<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>\u0628\u06cc\u0627\u0646 \u062d\u0633\u0627\u0628\u06cc<\/td>\n<td>\u0627\u0632 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0639\u062f\u062f\u06cc \u0648 \u0639\u0645\u0644\u06af\u0631\u0647\u0627\u06cc \u062d\u0633\u0627\u0628\u06cc (+\u060c -\u060c *\u060c \/) \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u06a9\u0646\u062f.<\/td>\n<td>\u0628\u0631\u062e\u0644\u0627\u0641 \u0639\u0628\u0627\u0631\u0627\u062a \u062d\u0633\u0627\u0628\u06cc\u060c \u0639\u0628\u0627\u0631\u0627\u062a \u0628\u0648\u0644\u06cc \u0627\u0632 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0628\u0627\u06cc\u0646\u0631\u06cc (\u062f\u0631\u0633\u062a\/\u0646\u0627\u062f\u0631\u0633\u062a) \u0648 \u0639\u0645\u0644\u06af\u0631\u0647\u0627\u06cc \u0645\u0646\u0637\u0642\u06cc (AND\/OR\/NOT) \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u06a9\u0646\u0646\u062f.<\/td>\n<\/tr>\n<tr>\n<td>\u0645\u0646\u0637\u0642 \u06af\u0632\u0627\u0631\u0647 \u0627\u06cc<\/td>\n<td>\u0634\u0627\u062e\u0647 \u0627\u06cc \u0627\u0632 \u0645\u0646\u0637\u0642 \u06a9\u0647 \u0628\u0647 \u0642\u0636\u0627\u06cc\u0627\u0626\u06cc \u0645\u06cc \u067e\u0631\u062f\u0627\u0632\u062f \u06a9\u0647 \u0645\u06cc \u062a\u0648\u0627\u0646\u0646\u062f \u062f\u0631\u0633\u062a \u06cc\u0627 \u0646\u0627\u062f\u0631\u0633\u062a \u0628\u0627\u0634\u0646\u062f<\/td>\n<td>\u0639\u0628\u0627\u0631\u0627\u062a \u0628\u0648\u0644\u06cc \u0645\u0628\u0646\u0627\u06cc \u0631\u06cc\u0627\u0636\u06cc \u0645\u0646\u0637\u0642 \u06af\u0632\u0627\u0631\u0647 \u0627\u06cc \u0631\u0627 \u062a\u0634\u06a9\u06cc\u0644 \u0645\u06cc \u062f\u0647\u0646\u062f. \u0622\u0646\u0647\u0627 \u0627\u0633\u0627\u0633\u0627\u064b \u06cc\u06a9\u0633\u0627\u0646 \u0647\u0633\u062a\u0646\u062f\u060c \u0628\u0647 \u062c\u0632 \u0639\u0628\u0627\u0631\u0627\u062a \u0628\u0648\u0644\u06cc \u06a9\u0647 \u0645\u0639\u0645\u0648\u0644\u0627\u064b \u062f\u0631 \u06cc\u06a9 \u0632\u0645\u06cc\u0646\u0647 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u0646\u062f<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>\u0646\u06af\u0627\u0647 \u0628\u0647 \u0622\u06cc\u0646\u062f\u0647: \u062f\u06cc\u062f\u06af\u0627\u0647 \u0647\u0627\u06cc \u0622\u06cc\u0646\u062f\u0647 \u062f\u0631 \u0639\u0628\u0627\u0631\u0627\u062a \u0628\u0648\u0644\u06cc<\/h2>\n<p>\u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0639\u0646\u0627\u0635\u0631 \u0627\u0633\u0627\u0633\u06cc \u062f\u0631 \u0645\u0646\u0637\u0642 \u062f\u06cc\u062c\u06cc\u062a\u0627\u0644 \u0648 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u060c \u0639\u0628\u0627\u0631\u0627\u062a \u0628\u0648\u0644\u06cc \u062a\u0627 \u0632\u0645\u0627\u0646\u06cc \u06a9\u0647 \u0633\u06cc\u0633\u062a\u0645 \u0647\u0627\u06cc \u062f\u06cc\u062c\u06cc\u062a\u0627\u0644 \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u0646\u062f\u060c \u0645\u0631\u062a\u0628\u0637 \u062e\u0648\u0627\u0647\u0646\u062f \u0628\u0648\u062f. \u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644\u060c \u062d\u0648\u0632\u0647 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u0645\u0641\u0647\u0648\u0645 \u0628\u0631\u0647\u0645 \u0646\u0647\u06cc \u0631\u0627 \u0645\u0639\u0631\u0641\u06cc \u0645\u06cc\u200c\u06a9\u0646\u062f\u060c \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u06cc\u06a9 \u0645\u062a\u063a\u06cc\u0631 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u062f\u0631 \u0647\u0631 \u062f\u0648 \u062d\u0627\u0644\u062a \u062f\u0631\u0633\u062a \u0648 \u0646\u0627\u062f\u0631\u0633\u062a \u0628\u0647 \u0637\u0648\u0631 \u0647\u0645\u0632\u0645\u0627\u0646 \u0628\u0627\u0634\u062f. \u0627\u06cc\u0646 \u0645\u0646\u062c\u0631 \u0628\u0647 \u062a\u0648\u0633\u0639\u0647 \u0645\u0646\u0637\u0642 \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u0634\u062f\u0647 \u0627\u0633\u062a \u06a9\u0647 \u0627\u0635\u0648\u0644 \u062c\u0628\u0631 \u0628\u0648\u0644\u06cc \u0631\u0627 \u0628\u0631\u0627\u06cc \u0631\u0633\u06cc\u062f\u06af\u06cc \u0628\u0647 \u0686\u0646\u06cc\u0646 \u0633\u0646\u0627\u0631\u06cc\u0648\u0647\u0627\u06cc\u06cc \u06af\u0633\u062a\u0631\u0634 \u0645\u06cc \u062f\u0647\u062f.<\/p>\n<p>\u0628\u0627 \u0627\u06cc\u0646 \u0648\u062c\u0648\u062f\u060c \u0639\u0628\u0627\u0631\u0627\u062a \u0628\u0648\u0644\u06cc \u062f\u0631 \u0645\u062f\u0644\u200c\u0647\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u06a9\u0644\u0627\u0633\u06cc\u06a9 \u0636\u0631\u0648\u0631\u06cc \u0628\u0627\u0642\u06cc \u062e\u0648\u0627\u0647\u0646\u062f \u0645\u0627\u0646\u062f. \u067e\u06cc\u0634\u0631\u0641\u062a\u200c\u0647\u0627 \u062f\u0631 \u0647\u0648\u0634 \u0645\u0635\u0646\u0648\u0639\u06cc \u0648 \u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0645\u0627\u0634\u06cc\u0646\u06cc \u0647\u0645\u0686\u0646\u06cc\u0646 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u0634\u0627\u0647\u062f \u062a\u0648\u0633\u0639\u0647 \u0645\u062f\u0644\u200c\u0647\u0627\u06cc \u0628\u0648\u0644\u06cc \u067e\u06cc\u0686\u06cc\u062f\u0647\u200c\u062a\u0631 \u0628\u0627\u0634\u062f \u06a9\u0647 \u0631\u0648\u0627\u0628\u0637 \u0645\u0646\u0637\u0642\u06cc \u067e\u06cc\u0686\u06cc\u062f\u0647\u200c\u062a\u0631\u06cc \u0631\u0627 \u062b\u0628\u062a \u0645\u06cc\u200c\u06a9\u0646\u0646\u062f.<\/p>\n<h2>\u062a\u0639\u0627\u0645\u0644 \u0628\u06cc\u0646 \u0639\u0628\u0627\u0631\u0627\u062a \u0628\u0648\u0644\u06cc \u0648 \u0633\u0631\u0648\u0631\u0647\u0627\u06cc \u067e\u0631\u0648\u06a9\u0633\u06cc<\/h2>\n<p>\u0633\u0631\u0648\u0631\u0647\u0627\u06cc \u067e\u0631\u0648\u06a9\u0633\u06cc \u0627\u0633\u0627\u0633\u0627\u064b \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0648\u0627\u0633\u0637\u0647 \u0639\u0645\u0644 \u0645\u06cc \u06a9\u0646\u0646\u062f \u0648 \u062f\u0631\u062e\u0648\u0627\u0633\u062a \u0647\u0627\u06cc \u0645\u0634\u062a\u0631\u06cc \u0631\u0627 \u0628\u0647 \u0633\u0631\u0648\u0631\u0647\u0627\u06cc \u062f\u06cc\u06af\u0631 \u062f\u0631 \u0627\u06cc\u0646\u062a\u0631\u0646\u062a \u0627\u0631\u0633\u0627\u0644 \u0645\u06cc \u06a9\u0646\u0646\u062f. \u062f\u0631 \u062d\u0627\u0644\u06cc \u06a9\u0647 \u0646\u0642\u0634 \u0639\u0628\u0627\u0631\u0627\u062a \u0628\u0648\u0644\u06cc \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0641\u0648\u0631\u0627\u064b \u0622\u0634\u06a9\u0627\u0631 \u0646\u0628\u0627\u0634\u062f\u060c \u0622\u0646\u0647\u0627 \u0646\u0642\u0634\u06cc \u062f\u0631 \u062a\u0639\u0631\u06cc\u0641 \u0631\u0641\u062a\u0627\u0631 \u0627\u06cc\u0646 \u0633\u0631\u0648\u0631\u0647\u0627\u06cc \u067e\u0631\u0627\u06a9\u0633\u06cc \u062f\u0627\u0631\u0646\u062f.<\/p>\n<p>\u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644\u060c \u06cc\u06a9 \u0633\u0631\u0648\u0631 \u067e\u0631\u0627\u06a9\u0633\u06cc \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0642\u0648\u0627\u0646\u06cc\u0646 \u062e\u0627\u0635\u06cc \u0631\u0627 \u0628\u0631\u0627\u06cc \u0645\u0633\u06cc\u0631\u06cc\u0627\u0628\u06cc \u062a\u0631\u0627\u0641\u06cc\u06a9\u060c \u0641\u06cc\u0644\u062a\u0631 \u06a9\u0631\u062f\u0646\u060c \u06cc\u0627 \u062b\u0628\u062a \u06af\u0632\u0627\u0631\u0634 \u0628\u0631 \u0627\u0633\u0627\u0633 \u0639\u0628\u0627\u0631\u0627\u062a \u0628\u0648\u0644\u06cc \u0627\u062c\u0631\u0627 \u06a9\u0646\u062f. \u0627\u06cc\u0646\u0647\u0627 \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0634\u0627\u0645\u0644 \u0634\u0631\u0627\u06cc\u0637\u06cc \u0645\u0627\u0646\u0646\u062f <code data-no-translation=\"\">(source IP is X) AND (destination port is Y)<\/code>\u060c \u0633\u0631\u0648\u0631 \u067e\u0631\u0648\u06a9\u0633\u06cc \u0631\u0627 \u0642\u0627\u062f\u0631 \u0645\u06cc \u0633\u0627\u0632\u062f \u062a\u0627 \u0645\u062f\u06cc\u0631\u06cc\u062a \u062a\u0631\u0627\u0641\u06cc\u06a9 \u0648 \u0639\u0645\u0644\u06a9\u0631\u062f\u0647\u0627\u06cc \u0627\u0645\u0646\u06cc\u062a\u06cc \u067e\u06cc\u0686\u06cc\u062f\u0647 \u062a\u0631\u06cc \u0631\u0627 \u0627\u0646\u062c\u0627\u0645 \u062f\u0647\u062f.<\/p>\n<h2>\u0644\u06cc\u0646\u06a9 \u0647\u0627\u06cc \u0645\u0631\u0628\u0648\u0637\u0647<\/h2>\n<ol>\n<li><a href=\"https:\/\/plato.stanford.edu\/entries\/logic-boolean\/\" target=\"_new\" rel=\"noopener nofollow\">\u062f\u0627\u06cc\u0631\u0647 \u0627\u0644\u0645\u0639\u0627\u0631\u0641 \u0641\u0644\u0633\u0641\u0647 \u0627\u0633\u062a\u0646\u0641\u0648\u0631\u062f: \u0645\u0646\u0637\u0642 \u0628\u0648\u0644\u06cc<\/a><\/li>\n<li><a href=\"https:\/\/www.khanacademy.org\/computing\/computer-science\/cryptography\/crypt\/v\/intro-boolean-expressions\" target=\"_new\" rel=\"noopener nofollow\">\u0622\u06a9\u0627\u062f\u0645\u06cc \u062e\u0627\u0646: \u0639\u0628\u0627\u0631\u0627\u062a \u0628\u0648\u0644\u06cc \u0648 \u062c\u062f\u0627\u0648\u0644 \u062d\u0642\u06cc\u0642\u062a<\/a><\/li>\n<li><a href=\"https:\/\/ocw.mit.edu\/courses\/electrical-engineering-and-computer-science\/6-004-computation-structures-spring-2009\/\" target=\"_new\" rel=\"noopener nofollow\">MIT OpenCourseWare: \u0633\u06cc\u0633\u062a\u0645 \u0647\u0627\u06cc \u062f\u06cc\u062c\u06cc\u062a\u0627\u0644<\/a><\/li>\n<li><a href=\"https:\/\/csunplugged.org\/en\/topics\/binary-numbers\/\" target=\"_new\" rel=\"noopener nofollow\">\u0639\u0644\u0648\u0645 \u06a9\u0627\u0645\u067e\u06cc\u0648\u062a\u0631 Unplugged: \u0627\u0639\u062f\u0627\u062f \u0628\u0627\u06cc\u0646\u0631\u06cc \u0648 \u0645\u0646\u0637\u0642 \u0628\u0648\u0644\u06cc<\/a><\/li>\n<\/ol>\n<p>\u062f\u0631 \u0646\u062a\u06cc\u062c\u0647\u060c \u0639\u0628\u0627\u0631\u0627\u062a \u0628\u0648\u0644\u06cc \u0628\u062e\u0634 \u0645\u0647\u0645\u06cc \u0627\u0632 \u0645\u0646\u0637\u0642 \u0648 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u062f\u06cc\u062c\u06cc\u062a\u0627\u0644 \u0647\u0633\u062a\u0646\u062f \u0648 \u0646\u0642\u0634 \u0645\u0647\u0645\u06cc \u062f\u0631 \u0632\u0645\u06cc\u0646\u0647 \u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641 \u0627\u0632 \u062c\u0645\u0644\u0647 \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc\u060c \u0645\u062f\u06cc\u0631\u06cc\u062a \u067e\u0627\u06cc\u06af\u0627\u0647 \u062f\u0627\u062f\u0647 \u0648 \u0637\u0631\u0627\u062d\u06cc \u0645\u062f\u0627\u0631 \u062f\u06cc\u062c\u06cc\u062a\u0627\u0644 \u0627\u06cc\u0641\u0627 \u0645\u06cc \u06a9\u0646\u0646\u062f. \u0622\u0646\u0647\u0627 \u0631\u0648\u0634\u06cc \u0642\u0637\u0639\u06cc \u0628\u0631\u0627\u06cc \u0627\u0631\u0632\u06cc\u0627\u0628\u06cc \u0634\u0631\u0627\u06cc\u0637 \u0627\u0631\u0627\u0626\u0647 \u0645\u06cc \u062f\u0647\u0646\u062f \u0648 \u0622\u0646\u0647\u0627 \u0631\u0627 \u0628\u0631\u0627\u06cc \u0641\u0631\u0622\u06cc\u0646\u062f\u0647\u0627\u06cc \u062a\u0635\u0645\u06cc\u0645 \u06af\u06cc\u0631\u06cc \u062f\u0631 \u0633\u06cc\u0633\u062a\u0645 \u0647\u0627\u06cc \u062f\u06cc\u062c\u06cc\u062a\u0627\u0644 \u0636\u0631\u0648\u0631\u06cc \u0645\u06cc \u06a9\u0646\u0646\u062f.<\/p>","protected":false},"featured_media":467772,"menu_order":0,"template":"","meta":{"_acf_changed":false,"content-type":"","inline_featured_image":false,"footnotes":""},"class_list":["post-476082","wiki","type-wiki","status-publish","has-post-thumbnail","hentry"],"acf":{"faq_title":"Frequently Asked Questions about <mark>Boolean Expression: The Foundation of Logic in Computer Science<\/mark>","faq_items":[{"question":"What is a Boolean Expression?","answer":"<p>A Boolean expression is a fundamental element in computer science that may be either true or false, depending on the values of its variables. It uses binary variables and logical operators such as AND, OR, and NOT to create conditions that can be evaluated.<\/p>"},{"question":"Who introduced the concept of Boolean expressions?","answer":"<p>The concept of Boolean expressions was introduced by George Boole, an English mathematician in the mid-19th century. His work on algebraic logic, particularly the binary system where every variable is either true or false, laid the foundation for Boolean algebra.<\/p>"},{"question":"How are Boolean expressions used in computer science?","answer":"<p>Boolean expressions form the basis of all digital logic and are essential in programming languages, database queries, and hardware design. In software programming, they help make decisions based on certain conditions. In database management, they form the basis of SQL queries. In digital circuit design, they represent the function of a digital circuit.<\/p>"},{"question":"What are some key characteristics of Boolean expressions?","answer":"<p>Boolean expressions exhibit several unique features including their binary nature, the use of logical operators, the use of parentheses to alter the order of operations, and deterministic results. Given the same set of inputs, a Boolean expression will always yield the same result.<\/p>"},{"question":"What are the different types of Boolean expressions?","answer":"<p>Boolean expressions can be classified into different types based on their structure and usage. These include simple Boolean expressions that use a single operator and two operands, complex Boolean expressions involving multiple operators and operands, negated Boolean expressions containing a NOT operator, and nested Boolean expressions that contain one or more Boolean expressions as operands within a larger Boolean expression.<\/p>"},{"question":"How are Boolean expressions related to proxy servers?","answer":"<p>In the context of proxy servers, Boolean expressions may define the behavior of these servers. For instance, a proxy server may implement certain rules for traffic routing, filtering, or logging based on Boolean expressions. These might include conditions like <code>(source IP is X) AND (destination port is Y)<\/code>, enabling the proxy server to perform more sophisticated traffic management and security functions.<\/p>"},{"question":"What is the future of Boolean expressions with the advent of technologies like quantum computing?","answer":"<p>Quantum computing introduces the concept of superposition, where a variable can be in both true and false states simultaneously. This has led to the development of quantum logic, which extends the principles of Boolean algebra to handle such scenarios. However, Boolean expressions will remain essential in classical computing models, and could see further development in areas like AI and machine learning.<\/p>"}]},"_links":{"self":[{"href":"https:\/\/oneproxy.pro\/ir\/wp-json\/wp\/v2\/wiki\/476082","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/oneproxy.pro\/ir\/wp-json\/wp\/v2\/wiki"}],"about":[{"href":"https:\/\/oneproxy.pro\/ir\/wp-json\/wp\/v2\/types\/wiki"}],"version-history":[{"count":0,"href":"https:\/\/oneproxy.pro\/ir\/wp-json\/wp\/v2\/wiki\/476082\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/oneproxy.pro\/ir\/wp-json\/wp\/v2\/media\/467772"}],"wp:attachment":[{"href":"https:\/\/oneproxy.pro\/ir\/wp-json\/wp\/v2\/media?parent=476082"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}