{"title":"布尔代数与逻辑门","authors":"Subhrajit Sarma, Rama Kanta Bhuyan","doi":"10.14445/22315373/IJMTT-V65I3P522","DOIUrl":null,"url":null,"abstract":"1 The Algebra of Statements, Continued Recall from last week that we learned how to add two statements A and B to form the statement A + B. Similar to the logical addition, we can introduce logical multiplication. Let us define A×B as the statement A and B. For example, if A = three is greater than two and B = three is greater than five, then A × B = three is greater than two and five. Quite obviously, A and B is true if and only if both A and B are true.","PeriodicalId":231515,"journal":{"name":"International Journal of Mathematics Trends and Technology","volume":"86 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Boolean Algebra and Logic Gates\",\"authors\":\"Subhrajit Sarma, Rama Kanta Bhuyan\",\"doi\":\"10.14445/22315373/IJMTT-V65I3P522\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"1 The Algebra of Statements, Continued Recall from last week that we learned how to add two statements A and B to form the statement A + B. Similar to the logical addition, we can introduce logical multiplication. Let us define A×B as the statement A and B. For example, if A = three is greater than two and B = three is greater than five, then A × B = three is greater than two and five. Quite obviously, A and B is true if and only if both A and B are true.\",\"PeriodicalId\":231515,\"journal\":{\"name\":\"International Journal of Mathematics Trends and Technology\",\"volume\":\"86 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-03-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Mathematics Trends and Technology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.14445/22315373/IJMTT-V65I3P522\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Mathematics Trends and Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.14445/22315373/IJMTT-V65I3P522","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
1 The Algebra of Statements, Continued Recall from last week that we learned how to add two statements A and B to form the statement A + B. Similar to the logical addition, we can introduce logical multiplication. Let us define A×B as the statement A and B. For example, if A = three is greater than two and B = three is greater than five, then A × B = three is greater than two and five. Quite obviously, A and B is true if and only if both A and B are true.
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