Práctica No. 4 Mapas de Karnaugh

 

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AL_RAR^RH PHGARÁOLAOH LIOAHLIG N_O^NGI _^PNZAHZ BN OßCP^RH BNPIZRICNLRH BN _A_RNCI_ NGNORZßLAOH_

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LHCJZN BNG IG^CLH; ChlrhyZicãrnzHsoirMnrirbh  MZ^PH; ?OC?  PZHEN_HZ; EnrlilbhImuagir_élodnz  9 

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A.HJKNRAUH MNLNZIG; Ng iguclh snré oipiz bn basnùir i pirtar bng pgiltnicanlth bn u prhjgnci ul oarouath gÿmaoh ÿptach utagazilbh igmulh bn ghs cáthbhs bn sacpgaeaoioaÿl ohlhoabhs piri hjtnlnr gi nxprnsaÿl gÿmaoi qun bntnrcali ig oarouath cés sacpgn ohcprhjiré ticjaál gi nenotavabib bn nshs cáthbhs ig ircir ng oarouath hramalig y ng oarouath sacpgaeaoibh. AA.HJKNRAUH_ PIZRAO^GIZN_; Bntnrcalir gi tijgi bn vnrbib rnprnsnltitavi bn ul oarouath gÿmaoh i pirtar bng pgiltnicanlth bn ul prhjgnci. Hjtnlnr, i pirtar bn gi tijgi bn vnrbib, i nxprnsaÿl gÿmaoi qun bnsorajn ng oarouath y ircirgh. Hjtnlnr gi ehrci sacpgaeaoibi bn gi nxprnsaÿl gÿmaoi y ircir ng oarouath ohrrnsphlbanltn. Ohcprhjir gi nquavignloai euloahlig bn icjhs oarouaths. AAA.ALRZHB^OOAßL RNHZAOI (Bnsirrhggibi phr ng iguclh).  • 

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Ghs  shleuloaÿl uli dnrricanlti utagazibi piri giy sacpgaeaoioaÿl bn  oarouaths bn oarouaths Cipis bn Firliumd gÿmaohs.  gÿmaohs.   Ouilbh sn tanln uli gÿmaoi ohlcuy su tijgi su tijgi bn vnrbib sn bnsni acpgncnltir nsi euloaÿl bn gi cilnri cés nohlÿcaoi phsajgn sn utagazi nstn cáthbh. Nkncpgh; _n tanln gi samuanltn tijgi bn vnrbib piri trns viraijgns. _n bnsirrhggi gi euloaÿl gÿmaoi  jisibi nl nggi. (pracnri ehrci oilÿlaoi). Unr qun nl gi eÿrcugi sn aloguynl shgicnltn gis viraijgns (I, J, O) ouilbh E ouilbh ns amuig i ‗9–. _a I nl gi tijgi bn vnrbib ns ‗0– sn phln I, sa J 3 ‗9– sn phln J, _a O 3 ‗0– sn phln O, nto.

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E 3 I J O + I J O + I J O + I J O + I J O + I J O  ^li vnz hjtnlabi gi euloaÿl gÿmaoi, sn acpgncnlti ng cipi bn Firliumd. Nstn tanln 4 oisaggis qun ohrrnsphlbnl i :l, bhlbn l 3 ? (lûcnrh bn viraijgns (I, J, O)). Unr ng baimrici irraji. Gi pracnri eagi ohrrnsphlbn i I 3 0 Gi snmulbi eagi ohrrnsphlbn i I 3 9 Gi pracnri ohgucli ohrrnsphlbn i JO 3 00 (J30 y O30). Gi snmulbi ohgucli ohrrnsphlbn i JO 3 09 (J30 y O39) Gi tnronri ohgucli ohrrnsphlbn i JO 3 99 (J39 y O39) Gi ouirti ohgucli ohrrnsphlbn i JO 3 90 (J39 y O30) Nl ng cipi bn Firliumd sn dil punsth ‗9– nl gis oisaggis qun ohrrnsphlbnl i ghs vighrns bn E 3 ‗9– nl gi tijgi bn vnrbib. Rhcir nl ounlti gi lucnrioaÿl bn gis eagis bn gi tijgi bn vnrbib y gi lucnrioaÿl bn gis oisaggis nl ng cipi bn Firliumd. 

Piri prhonbnr ohl gi sacpgaeaoioaÿl, sn ornil mruphs bn ‗9–s qun tnlmil 9, :, 2, 4, 95, nto. (shgh  phtnloais bn :). Ghs ‗9–s bnjnl nstir ibyionltns (lh nl baimhlig) y canltris cés ‗9–s tnlmi ng mruph, cnkhr.

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Gi euloaÿl cnkhr sacpgaeaoibi ns iqunggi qun tanln ng cnlhr lûcnrh bn mruphs ohl ng ciyhr lûcnrh bn ‗9– s nl oibi mruph   _n vn bng mréeaoh qun diy bhs mruphs oibi ulh bn ouitrh ‗9–s (sn pnrcatn ohcpirtar oisaggis nltrn ghs mruphs). Gi lunvi nxprnsaÿl bn gi euloaÿl jhhgnli sacpgaeaoibi sn bnbuon bng cipi bn Firliumd. •  Piri ng pracnr mruph (rhkh); gi sacpgaeaoioaÿl bi J (ghs ‗9–s bn gi tnronri y ouirti ohgucli ohrrnsphlbnl i J sal lnmir) •  Piri ng snmulbh mruph (izug); gi sacpgaeaoioaÿl bi I  (ghs ‗9–s nstél nl gi eagi alenrahr qun ohrrnsphlbn i I sal lnmir).

Nlthlons ng rnsugtibh ns E 3 J + I i E 3 I + J 

Nkncpgh; ^li tijgi bn vnrbib ohch gi bn gi bnrnodi bi gi samuanltn euloaÿl jhhgnili; E 3 I J O + I J O + I J O + I J O  _n vn ogiricnltn qun gi euloaÿl ns ul rnegnkh bng ohltnlabh bn gi tijgi bn vnrbib ouilbh E 3 ‗9–, Ohl nsti nouioaÿl sn orni ng cipi bn Firliumd y sn nsohmnl ghs mruphs. _n ghmrirhl dionr ? mruphs bn bhs ‗9–s oibi ulh. _n punbn vnr qun lh ns phsajgn dionr mruphs bn ?, phrqun ? lh ns phtnloai bn :. _n hjsnrvi qun diy uli oisaggi qun ns ohcpirtabi phr ghs trns mruphs.

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Gi euloaÿl sacpgaeaoibi ns; E 3 I J+ I O + J O. Mruph nl izug; I J, mruph cirrÿl; I O, mruph vnrbn; J O

LHRI; Ng iguclh bnjn gnnr gi préotaoi iltns bn prnsnltirsn ig gijhrithrah, yi qun bnjn oujrar igmulhs rnquasaths piri ng junl bnsirrhggh bn nsti. AU.  CIRNZAIG Q NY^APH NCPGNIBH 9 O.A. OB2049J 9 O.A. OB20=9J 9 O.A. OB20=>J 9 O.A. OB20=4J 9 O.A. OB2051 9 O.A. OB204: 9BAP _]ARD BN 5 ^ 4 ALRNZZ^PRHZN_. 5 ZN_A_RNLOAI_ BN ??0℥  5 ZN_A_RNLOAI_ BN ::0℥  5 GNB‑_ (ouigquanr ohghr) IGCJZN Lh. :: (piri gis ohlnxahlns) 9 C^GRACNRZH 9 E^NRN BN OHZZANLRN 9 RIJGAGGI BN NTPNZACNLRIOAßL (prhth-jhirb).

U.  BN_IZZHGGH NTPNZACNLRIG

9.- I pirtar bng pgiltnicanlth bng samuanltn nluloaibh, bntnrcaln gi tijgi bn vnrbib bn gi ouig sn bnravn ng oarouath gÿmaoh qun sitaseion gi lnonsabib qun sn pgiltni. Nl ulh bn 90> gijhrithrahs bn uli ohcpiùãi quãcaoi sn ngijhril : bastaltis shguoahlns i pirtar bn gis sustiloais I, J, O, B y N. Nstis sustiloais pnsil rnspnotavicnltn; 950, 40, 20, :0 y 90 cm. Gis shguoahlns shl bnphsatibis nl erisohs qun sn trilsphrtil phr cnbah bn uli jilbi disti uli jésougi. _a ng  pnsh albaoibh nl gi jésougi ns ulh bn ghs samuanltns 90,:0,20,50,=0,10, 90,:0 ,20,50,=0,10, 9?0. 9>0 950, 9=0, ::0, :?0, :20, :>0, :50 Q ?90 cm, nlthlons ng basphsatavh E, snggiré ng erisoh y gh ipirtiré bn gi jilbi6 bn htrh chbh, ng erisoh pnrcilnon ijanr9h y gi jilbi gh trilsphrti dioai htri ntipi bng prhonsh. Phr gis ohlbaoahlns prnvais > 

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bng prhonsh, lh ns phsajgn qun ggnmunl i gi jésougi la erisohs vioãhs la erisohs qun ohltnlmil gis samuanltns shguoahlns J, JB, IB, IBN, IO y IJON6 thbis gis bncés shguoahlns sa punbnl ggnmir disti gi jésougi. _n basnùiré ul oarouath gÿmaoh qun tnlmi ohch nltribis gis viraijgns I, J, O, B y N thcilbh ng vighr bn 9 gÿmaoh ouilbh gi sustiloai nstá prnsnltn nl gi shguoaÿl bng erisoh y 0 gÿmaoh ouilbh lh nstá nl gi shguoaÿl. Gi sigabi snré E, sanlbh 9 ouilbh gi shguoaÿl tnlmi ulh bn ghs pnshs nspnoaeaoibhs y 0 ouilbh tnlmi ul  pnsh baenrnltn. LHRI; Ohlsabnrir gis ohlbaoahlns arrngnviltns bng prhonsh.

:.-Ohloabnrioahlns Prnvais ig ggnlibh bn gi tijgi bn vnrbib :.-Ohloabnrioahlns Phr gi liturignzi bng prhjgnci, lh ggnmirél i gi jésougi la erisohs vioãhs 9542:9 IJOBN 0 0 0 00

EZI_OH_ UIOAH_

ca 0

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Ricphoh ggnmiril erisohs qun ohltnlmil gis samuanltns shguoahlns 9542:9 IJOBN 09 0 00 09 0 90 90 0 9 0 90 0 9 9 90 9 0 0 99 9 0 9

J JB IB IBN IO IJON

34 390 394 391 3:0 3:1

?.- Nl gi samuanltn tijgi qun sn prnsnlti ilhtn gis ohcjalioahlns bn 0's y g's piri gis viraijgns y su ohrrnsphlbanltn lavng bn sigabi, snmûl gis ohlbaoahlns bng nluloaibh. Lh.

I J O B N (950cm) (40cm) (20cm) (:0cm) (90cm)

0 9 0 9 0 9 0 9 0 9 0 9

T 9 9 0 9 0 9 9 T 9 T 0 0 9

E9 Rnÿraoh 9 9 9 0 9 0 9 9 9 9 9 0 0 9

0 9

09

09

0 9

0 0

0 0

0 0

0 0

0 9

: ? 2 > 5 = 4 1 90 99 9: 9?

0 0 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 9 9 9 9 9 9

0 0 9 9 9 9 0 0 0 0 9 9

9 9 0 0 9 9 0 0 9 9 0 0

92 9>

0 0

9 9

9 9

9 9 5 

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9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9

0 0 0 0 0 0 0 0 9 9 9 9 9 9 9 9

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0 0 9 9 0 0 9 9 0 0 9 9 0 0 9 9

0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9

9 9 T T T 0 9 9 9 9 9 0 0 T 0 9

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RIJGI 9 I pirtar bn gi tijgi bn vnrbib hjtnlabi, nsoraji gi euloaÿl jhhgnili hramalig qun bnsorajn ng oarouath gÿmaoh qun rnigazi gi hpnrioaÿl bnsnibi.

E^LOAßL OILßLAOI E (I, J, O, B, N) 3∙ (9,:,2,5,=,1,9?,9>,95,9=,::,:?,:2,:>,:5,?9) + ᶺ (0,4,90,94,91,:0,:1)

ACPGNCNLRIOAHL BNG OAZO^ARH I PIZRAZ BN GI NTPZN_AßL HZAMALIG Ng oarouath qun rnigazi gi hpnrioaÿl bnsorati phr gi euloaÿl iltnrahr sn punbn acpgncnltir bn cuy bavnrsis cilnris. _al ncjirmh, ng lûcnrh bn O g‑s qun  phbrãil utagazirsn bnpnlbn nl mril cnbabi bn nsi acpgncnltioaÿl. _n ohlsabnri ohlvnlanltn nstijgnonr ul oarouath nstélbir qun eioagatn ng prhonsh bn ircibh, qun utagaon ng cnlhr lûcnrh bn O g‑s qun eioagatn gi rnvasaÿl phr pirtn bng prhenshr y ohcpirioaÿl ohl ghs htrhs oarouaths bn htrhs nstubailtns. I ohltaluioaÿl, sn prnsnlti gi acpgncnltioaÿl nstélbir bng oarouath qun rnigazi gi hpnrioaÿl bnsorati  phr gi nxprnsaÿl gÿmaoi hramalig. eamuri 9 Oarouath gÿmaoh piri ohltrhgir ng pnsh bn uli shguoaÿl nl ul erisoh. Dnchs gh girmh bn oibi uli bn dnrricanltis gis préotaois,bnghcalacazioaÿl, phoh préotaohrnourrarnchs qun snrai sacugir oarouath,vasth phr ghi qun sijanlbh qun tnlnchs i nstis.y ircir nstn = 

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_ACPGAEAOIOAßL BN GI NTPZN_AßL GHMAOI HZAMALIG 9.- ^tagazilbh ng cáthbh bn sacpgaeaoioaÿl qun bnsnn, hjtnlmi gi nxprnsaÿl gÿmaoi cãlaci piri gi nouioaÿl Ilhtn gi nxprnsaÿl sacpgaeaoibi N (I, J, O, B, N) E9(I, J, O, B, N) 3 O'B' + J'N' + O'N' + J'OB + JON  :.- Nl su rnphrtn bnjnré ilnxir thbh ng bnsirrhggh bng cáthbh bn sacpgaeaoioaÿl utagazibh.

ACPGNCNLRIOAHL BNG OAZO^ARH CALACH 9.  Ohlsabnrilbh gi nouioaÿl (:) punbn ircir ul oarouath gÿmaoh nquavignltn ig bn gi eamuri 9, pnrh ohl ul cnlhr lûcnrh bn ngncnlths. ^tagaon igmulhs bn ghs O 9 —s bng oarouath bn gi eamuri 9 piri acpgncnltir ng oarouath gÿmaoh sacpgaeaoibh bnsorath phr gi nouioaÿl (:). Bajukn nstn oarouath nl gi eamuri :.

LHRI; Ng oarouath shgaoatibh piri gi eamuri : bnjn nstir bajukibh iltns bn alaoair gi préotaoi. 4 

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:.  Nl gi acpgncnltioaÿl bng oarouath bn gi eamuri : ohlsabnrn ng oarouath bn GNB‑s n altnrrupthr BAP ohlnotibh i gi nltribi bng oarouath bn gi eamuri 9 ohl ng eal bn eioagatir ng ikustn bn gis ohcjalioahlns gÿmaois bn gi tijgi bn vnrbib.

UA.  UABNH BN _AC^GIOAßL BNG OAZO^ARH 

UAA.  HJ_NZUIOAHLN_ Q OHLOG^_AHLN_; _a igmh bn lunvi ounlti iprnlbachs, ns qun sancprn sn punbn rnbuoar ul oarouath i uli nxprnsaÿl cis  pnqunùi h cnkhr imrupibi, sal ncjirmh nl nsti préotaoi phbnchs vnr igmh cuodh cis acphrtiltn, y ns  prnoasicnltn gi rizÿl r izÿl bng nstubah ns tubah bn ns nsti ulabib bn iprnlbazikn, gi ipgaoioaÿl bn sastncis bamatigns i ul  prhjgnci ipgaoibh, sancprn sn lhs baon ‗Ouilbh ipgaqunl gh qun iprnlbanrhl…– y nl nsti priotaoi sn lhs bah uli pnqunùi prhjibati bn gh cugtabasoapgalirai qun ns lunstri érni ig phbnr ipgaoir ghs sastncis bamatigns i gh qun ns ul sastnci bn prhbuooaÿl bn sustiloais quãcaois. Phr gh iltnrahr phbnchs bnoar qun ng hjkntavh sn oucpgaÿ, yi qun basnùichs i pirtar bng pgiltnicanlth bn u  prhjgnci ul oarouath gÿmaoh ÿptach utagazilbh igmulh bn ghs cáthbhs bn sacpgaeaoioaÿl ohlhoabhs piri hjtnlnr gi nxprnsaÿl gÿmaoi qun bntnrcali ig oarouath cés sacpgn ohcprhjiré ticjaál gi nenotavabib bn nshs cáthbhs ig ircir ng oarouath hramalig y ng oarouath sacpgaeaoibh.

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UAA. JAJGAHMZIEÃI. Ibcalastribhr. (:094, _nptncjnr 9:). Cipis bn Firliumd - _acpgaeaoioaÿl bn euloahlns jhhgnilis Ngnotrÿlaoi ^laorhc. Zntranvnb Cirod :1, :0:9, erhc Ngnotrÿlaoi ^laorhc wnjsatn; dttps;//ulaorhc.ohc/cipis-bn-firliumd-sacpgaeaoioahl-bn-euloahlns/ Phr sa ng YZ lh euloahli;  euloahli; dttps;//yhutu.jn/CNs^UKn=[Jf  

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