{"id":125,"date":"2022-08-30T08:22:49","date_gmt":"2022-08-30T08:22:49","guid":{"rendered":"https:\/\/informatika.tbg.hu\/?page_id=125"},"modified":"2022-08-30T08:22:49","modified_gmt":"2022-08-30T08:22:49","slug":"logikai-muveletek","status":"publish","type":"page","link":"https:\/\/informatika.tbg.hu\/index.php\/logikai-muveletek\/","title":{"rendered":"Logikai m\u0171veletek"},"content":{"rendered":"\n

Igaz-e, hogy az \u00c9S m\u0171velet asszociat\u00edv<\/strong>, azaz A\u2022B\u2022C=(A\u2022B)\u2022C=A\u2022(B\u2022C)? (Tetsz\u0151legesen z\u00e1r\u00f3jelezhet\u0151) <\/p>\n\n\n\n

K\u00e9sz\u00edtsd el a teljes igazs\u00e1gt\u00e1bl\u00e1t, \u00e9s ha a k\u00e9t m\u0171velet az \u00f6sszes lehets\u00e9ges bemenetre rendre ugyanazt a kimenet adja, akkor igaz. <\/p>\n\n\n\n

A <\/td>B <\/td>C <\/td>A\u2022B\u2022C <\/td>A\u2022B <\/td>(A\u2022B)\u2022C <\/td>B\u2022C <\/td>A\u2022(B\u2022C) <\/td><\/tr>
1 <\/td>1 <\/td>1 <\/td> <\/td> <\/td> <\/td> <\/td> <\/td><\/tr>
1 <\/td>1 <\/td>0 <\/td> <\/td> <\/td> <\/td> <\/td> <\/td><\/tr>
1 <\/td>0 <\/td>1 <\/td> <\/td> <\/td> <\/td> <\/td> <\/td><\/tr>
1 <\/td>0 <\/td>0 <\/td> <\/td> <\/td> <\/td> <\/td> <\/td><\/tr>
0 <\/td>1 <\/td>1 <\/td> <\/td> <\/td> <\/td> <\/td> <\/td><\/tr>
0 <\/td>1 <\/td>0 <\/td> <\/td> <\/td> <\/td> <\/td> <\/td><\/tr>
0 <\/td>0 <\/td>1 <\/td> <\/td> <\/td> <\/td> <\/td> <\/td><\/tr>
0 <\/td>0 <\/td>0 <\/td> <\/td> <\/td> <\/td> <\/td> <\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Igaz-e, hogy az \u00c9S m\u0171velet kommutat\u00edv<\/strong>, azaz A\u2022B=B\u2022A? (Operandusai felcser\u00e9lhet\u0151ek) <\/p>\n\n\n\n

K\u00e9sz\u00edtsd el a teljes igazs\u00e1gt\u00e1bl\u00e1t, \u00e9s ha a k\u00e9t m\u0171velet az \u00f6sszes lehets\u00e9ges bemenetre rendre ugyanazt a kimenet adja, akkor igaz. <\/p>\n\n\n\n

A <\/td>B <\/td>A\u2022B <\/td>B\u2022A <\/td><\/tr>
1 <\/td>1 <\/td> <\/td> <\/td><\/tr>
1 <\/td>0 <\/td> <\/td> <\/td><\/tr>
0 <\/td>1 <\/td> <\/td> <\/td><\/tr>
0 <\/td>0 <\/td> <\/td> <\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

K\u00e9sz\u00edtsd el ugyanezt a VAGY m\u0171veltre is! <\/p>\n\n\n\n

Igaz-e, hogy az VAGY m\u0171velet asszociat\u00edv<\/strong>, azaz A+B+C=(A+B)+C=A+(B+C)? (Tetsz\u0151legesen z\u00e1r\u00f3jelezhet\u0151) <\/p>\n\n\n\n

K\u00e9sz\u00edtsd el a teljes igazs\u00e1gt\u00e1bl\u00e1t, \u00e9s ha a k\u00e9t m\u0171velet az \u00f6sszes lehets\u00e9ges bemenetre rendre ugyanazt a kimenet adja, akkor igaz. <\/p>\n\n\n\n

A <\/td>B <\/td>C <\/td>A+B+C <\/td>A+B <\/td>(A+B)+C <\/td>B+C <\/td>A+(B+C) <\/td><\/tr>
1 <\/td>1 <\/td>1 <\/td> <\/td> <\/td> <\/td> <\/td> <\/td><\/tr>
1 <\/td>1 <\/td>0 <\/td> <\/td> <\/td> <\/td> <\/td> <\/td><\/tr>
1 <\/td>0 <\/td>1 <\/td> <\/td> <\/td> <\/td> <\/td> <\/td><\/tr>
1 <\/td>0 <\/td>0 <\/td> <\/td> <\/td> <\/td> <\/td> <\/td><\/tr>
0 <\/td>1 <\/td>1 <\/td> <\/td> <\/td> <\/td> <\/td> <\/td><\/tr>
0 <\/td>1 <\/td>0 <\/td> <\/td> <\/td> <\/td> <\/td> <\/td><\/tr>
0 <\/td>0 <\/td>1 <\/td> <\/td> <\/td> <\/td> <\/td> <\/td><\/tr>
0 <\/td>0 <\/td>0 <\/td> <\/td> <\/td> <\/td> <\/td> <\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Igaz-e, hogy az VAGY m\u0171velet kommutat\u00edv<\/strong>, azaz A\u2022B=B\u2022A? (Operandusai felcser\u00e9lhet\u0151ek) <\/p>\n\n\n\n

K\u00e9sz\u00edtsd el a teljes igazs\u00e1gt\u00e1bl\u00e1t, \u00e9s ha a k\u00e9t m\u0171velet az \u00f6sszes lehets\u00e9ges bemenetre rendre ugyanazt a kimenet adja, akkor igaz. <\/p>\n\n\n\n

A <\/td>B <\/td>A+B <\/td>B+A <\/td><\/tr>
1 <\/td>1 <\/td> <\/td> <\/td><\/tr>
1 <\/td>0 <\/td> <\/td> <\/td><\/tr>
0 <\/td>1 <\/td> <\/td> <\/td><\/tr>
0 <\/td>0 <\/td> <\/td> <\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Igaz-e, hogy az \u00c9S m\u0171velet a VAGY m\u0171veletre n\u00e9zve disztribut\u00edv<\/strong>, vagyis A\u2022(B+C)=A\u2022B+A\u2022C? <\/p>\n\n\n\n

A <\/td>B <\/td>C <\/td>B+C <\/td>A\u2022(B+C) <\/td>A\u2022B <\/td>A\u2022C <\/td>A\u2022B+A\u2022C <\/td><\/tr>
1 <\/td>1 <\/td>1 <\/td> <\/td> <\/td> <\/td> <\/td> <\/td><\/tr>
1 <\/td>1 <\/td>0 <\/td> <\/td> <\/td> <\/td> <\/td> <\/td><\/tr>
1 <\/td>0 <\/td>1 <\/td> <\/td> <\/td> <\/td> <\/td> <\/td><\/tr>
1 <\/td>0 <\/td>0 <\/td> <\/td> <\/td> <\/td> <\/td> <\/td><\/tr>
0 <\/td>1 <\/td>1 <\/td> <\/td> <\/td> <\/td> <\/td> <\/td><\/tr>
0 <\/td>1 <\/td>0 <\/td> <\/td> <\/td> <\/td> <\/td> <\/td><\/tr>
0 <\/td>0 <\/td>1 <\/td> <\/td> <\/td> <\/td> <\/td> <\/td><\/tr>
0 <\/td>0 <\/td>0 <\/td> <\/td> <\/td> <\/td> <\/td> <\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Igazold igazs\u00e1gt\u00e1bl\u00e1val a k\u00f6vetkez\u0151 \u00e1ll\u00edt\u00e1sokat! <\/p>\n\n\n\n

  • Egy \u00e1ll\u00edt\u00e1sa tagad\u00e1s\u00e1nak a tagad\u00e1s \u00f6nmaga. Neg\u00e1lt(Neg\u00e1lt (A))=A <\/li>
  • A\u2022Neg\u00e1lt(A)=0 (Egy \u00e1ll\u00edt\u00e1s \u00e9s ellentettje egyszerre sohasem teljes\u00fclhet<\/em>) <\/li>
  • A+Neg\u00e1lt(A)=1 (Egy \u00e1ll\u00edt\u00e1s, vagy az ellentettje mindig teljes\u00fcl<\/em>) <\/li>
  • Neg\u00e1lt(A+B)=Neg\u00e1lt(A)\u2022Neg\u00e1lt(B) <\/li>
  • Neg\u00e1lt(A\u2022B)(Neg\u00e1lt(A)+Neg\u00e1lt(B) <\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"

    Igaz-e, hogy az \u00c9S m\u0171velet asszociat\u00edv, azaz A\u2022B\u2022C=(A\u2022B)\u2022C=A\u2022(B\u2022C)? (Tetsz\u0151legesen z\u00e1r\u00f3jelezhet\u0151)  K\u00e9sz\u00edtsd el a teljes igazs\u00e1gt\u00e1bl\u00e1t, \u00e9s ha a k\u00e9t m\u0171velet az \u00f6sszes lehets\u00e9ges bemenetre rendre ugyanazt a kimenet adja, akkor igaz.  A  B  C  A\u2022B\u2022C  A\u2022B  (A\u2022B)\u2022C  B\u2022C  A\u2022(B\u2022C)  1  1  1            1  1  0            1  […]<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-125","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/informatika.tbg.hu\/index.php\/wp-json\/wp\/v2\/pages\/125","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/informatika.tbg.hu\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/informatika.tbg.hu\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/informatika.tbg.hu\/index.php\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/informatika.tbg.hu\/index.php\/wp-json\/wp\/v2\/comments?post=125"}],"version-history":[{"count":1,"href":"https:\/\/informatika.tbg.hu\/index.php\/wp-json\/wp\/v2\/pages\/125\/revisions"}],"predecessor-version":[{"id":126,"href":"https:\/\/informatika.tbg.hu\/index.php\/wp-json\/wp\/v2\/pages\/125\/revisions\/126"}],"wp:attachment":[{"href":"https:\/\/informatika.tbg.hu\/index.php\/wp-json\/wp\/v2\/media?parent=125"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}