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Martin Admek (UHK-FIM-KIT)O  =$.PRIPO Principy po ta o$\24.11.2009  cvi en . 9 De Morganovy zkony $/-  *Organiza n drobnosti dochzka F  $% Odvozen 1 ( Odvozen 1pravdivostn tabulka  vstupy A, B 1) A AND B pro y=1 mus bt oba vstupy  1 (y=1 ~ oba) i jedna nula na vstupu zposob y=0 2) NAND (negace     ) pro y=1 mus bt alespoH jeden vstup  0 (y=1 ~ ne_oba, max. jeden) pro y=0 mus bt oba vstupy  1 3) Anon + Bnon v pYp. A+B mus pro y=1 alespoH jeden vstup bt  1 =>zde pro y=1 mus alespoH jeden vstup bt  0 (jeho negace je  1 ) (y=1 ~ ne_oba, max. jeden) prv pokud jsou oba vstupy  1 =>jejich negace jsou  0 =>y=0+0=0 4) ad2 = ad3 => (a*b)non = anon+bnon #P POPPcPP5P_P P#P PP#   #  (!5D  #$$ ((,,,,,,,,,,,,,,,,,,S l 8 m) Odvozen 2$analogicky zvldnete odvodit druhou (samostat.) tabulku: 1) A+B sta  jedna  1 , aby y=1 (y=1 ~ alespoH_jeden) 2) NOR (negace     ) sta  jedna  1 , aby y=0 jsou nutn oba vstupy  0 , aby y=1 (y=1 ~ ani_jeden) 3)A*B (AND) jsou nutn oba vstupy  1 , aby y=1 (y=1 ~ oba) 4)Anon*Bnon jsou nutn oba vstupy  0 , aby y=1 (y=1 ~ ani_jeden) sta  jedna  1 , aby y=0 5) ad2 = ad4 => (a+b)non = anon*bnon69ZZZ9!T0   $,%2 h A * <'De Morganovy vztahy (zkony) ,8Pochopen  dosledkyR.~ivot bPY. pro (a*b) nutno dodat Auto AND Bark, aby svatba=1 negace=? (jak zabrnit svatb) (a*b) =a +b => sta  nedodat Auto OR nedodat Bark, aby svatba=0 AND se negac mn na ORD[   P-8Pochopen  dosledkyR.~ivot PY. pro (a+b) sta  bt pYejet Autem OR zasypn Barkem, aby smrt=1 negace=? (tj. co nutno udlat pro pYe~it) (a+b) =a *b => pro pYe~it nutno nebt pYejet Autem AND nebt zasypn Barkem OR se negac mn na ANDDt   ].8Pochopen  dosledkyR.~ivot PYi pYenaen negace ze vstupnch promnnch za vstup log. fce, nebo naopak (pYi pYenaen negace v alg. vrazu nad opertor, nebo vedle nj) se OR mn na AND, a naopak podobn jako pYi nsoben nerovnice zpornm slem se ot  nerovnostZ,<'*Vyu~itzjednoduaen funkce prava funkce pro jej realizaci pomoc jednoho typu sou stky (typicky NAND, pYp. 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