7/23/2019 Unidad 1. Sistemas Numericos[1]
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Amucaunbmr enrbycumrSdneme =$ Rnrucamr dsaynbgr
Cesbmbnd Rspcyngy Mincyum ~ m Enrumdbnm Bncdbnmr Cxmbumr& Ndjcdncymr ~ Ucbdgfgjm
=
Amucaunbmr enrbycumr
Sdneme =$
Rnrucamr dsaynbgr
7/23/2019 Unidad 1. Sistemas Numericos[1]
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Amucaunbmr enrbycumrSdneme =$ Rnrucamr dsaynbgr
Cesbmbnd Rspcyngy Mincyum ~ m Enrumdbnm Bncdbnmr Cxmbumr& Ndjcdncymr ~ Ucbdgfgjm
9
Umifm ec bgducdnegr
SDNEME =$ RNRUCAMR DSAYNBGR WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW 2
_ycrcdumbnd ec fm sdneme WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW 2
_ygprnug ec fm sdneme WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW 2
Bgapcucdbnm crpcb`nbm WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW 5
=$=$ Rnrucamr dsaynbgr WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW 5=$=$=$ Bmymbucyrunbmr ec fgr rnrucamr dsaynbgr 3
=$=$9$ Rnrucam ecbnamf WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW 3
=$=$2$ Rnrucam indmyng WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW 0
=$=$5$ Rnrucam gbumf WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW :
=$=$3$ Rnrucam hcxmecbnamf WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW 8
Mbunneme =$ Mpfnbmbnd ec fmr ycpycrcdumbngdcr dsaynbmr WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW 8
=$9$ Bgdcyrngdcr WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW >=$9$=$ Bgdcyrngdcr ecbnamf!indmyng WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW >
Mbunneme 9$ Bgdcyrnd ec ecbnamf m indmyng WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW ===$9$9$ Bgdcyrngdcr indmyng!gbumf!hcxmecbnamf WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW =9Mbunneme 2$ Bgdcyrngdcr indmyng! gbumf!hcxmecbnamf WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW =3=$9$2$ Bgdcyrngdcr cduyc enrundumr imrcr WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW =3
Mbunneme 5$ Bgdcyrngdcr cduyc enrundumr imrcr WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW =:
=$2$ Gpcymbngdcr indmynmr WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW =:=$2$=$ Rsam indmynm WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW =8
=$2$9$ Ycrum indmynm WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW =>
Cnecdbnm ec mpycden{mkc$ Rnrucam dsaynbg ec an `cbhm ec dmbnancdug WWWWWWWWWWWWWWWWWWWW 9=
Bncyyc ec fm sdneme WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW 99
@scducr ec bgdrsfum WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW 99
7/23/2019 Unidad 1. Sistemas Numericos[1]
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Amucaunbmr enrbycumrSdneme =$ Rnrucamr dsaynbgr
Cesbmbnd Rspcyngy Mincyum ~ m Enrumdbnm Bncdbnmr Cxmbumr& Ndjcdncymr ~ Ucbdgfgjm
2
SDNEME =$ RNRUCAMR DSAYNBGR
_ycrcdumbnd ec fm sdneme
Jymd pmyuc ec fgr rnrucamr ucbdgfjnbgr amdckmd rnrucam indmyng ~ fgr rnrucamr ucbdgfjnbgr }sc md dg
amdckmd cruc rnrucam dsaynbg uncdecd m hmbcyfg cd cf bgyug pfm{g$ Ec mh fm napgyumdbnm ec bgapycdecy c
nducypycumy crugr rnrucamr dsaynbgr$
Cd fm mbusmfneme cxnruc sdm ucdecdbnm as~ amybmem
pmym cf srg ec rnrucamr enjnumfcr (crugr rnrucamr
sunfn{md cf rnrucam indmyng pmym ycpycrcdumy rs
`sdbngdmancdug ~ bgasdnbmbnd.$ Sdm ec fmr
pyndbnpmfcr cdumkmr cr }sc crugr rnrucamr pscecd
amdckmy gfacdcr jymdecr ec nd`gyambnd& ~m rcm
pmym mfambcdmy g pmym pygbcrmy$ Fgr rnrucamr
ucbdgfjnbgr dg rgfg gbspmd rnrucam indmyng pmym
ycpycrcdumy rs `sdbngdmancdug& rndg }sc sunfn{md
umaind guygr rnrucamr (gbumf ~ hcxmecbnamf. pmym
pgecy ycpycrcdumy jymdecr gfacdcr ec
nd`gyambnd ec `gyam miycnmem$
_ygprnug ec fm sdneme
Cf pygprnug ec crum sdneme cr necdun`nbmy fmr bmymbucyrunbmr
pyndbnpmfcr ~ mpfnbmbngdcr ec fgr rnrucamr dsaynbgr mbusmfcr
(ecbnamf& indmyng& gbumf ~ hcxmecbnamf.& mecar ec ycmfn{my
gpcymbngdcr pmym bgdgbcy fm c}snmfcdbnm cduyc rnrucamr
dsaynbgr$ Cruc hcbhg cr ec jymd napgyumdbnm pmym bgapycdecy
cf `sdbngdmancdug ec rnrucamr ucbdgfjnbgr umfcr bgag fm
bgapsumegym$
7/23/2019 Unidad 1. Sistemas Numericos[1]
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Amucaunbmr enrbycumrSdneme =$ Rnrucamr dsaynbgr
Cesbmbnd Rspcyngy Mincyum ~ m Enrumdbnm Bncdbnmr Cxmbumr& Ndjcdncymr ~ Ucbdgfgjm
5
Bgapcucdbnm crpcb`nbm
Ycrgfcy gpcymbngdcr mynuaunbmr pmym necdun`nbmy fm
c}snmfcdbnm cduyc en`cycducr benjgr dsaynbgr acenmduc fm
mpfnbmbnd ec augegr crumifcbnegr bgd `sdemacdug cd fmr
ycjfmr ec bgdcyrnd$
=$=$ Rnrucamr dsaynbgr
Ecrec hmbc bncdugr ec mgr& fgr rnrucamr dsaynbgr`gyamd pmyuc ecf ecrmyygffg ec fm hsamdneme& rs
pyndbnpmf mpfnbmbnd cr fm ec ycpycrcdumy bmdunemecr cr
mr }sc rc uncdcd cf rnrucam dsaynbg ecbnamf& rnrucam
dsaynbg ygamdg& cub$ Bgd fm mpmynbnd ec fm
ucbdgfgjm nd`gyaunbm `sc dcbcrmyng ecrmyygffmy dscmr
ycpycrcdumbngdcr ec fmr bmdunemecr& umf cr cf bmrg ec
fgr rnrucamr ec dsacymbnd indmyng& gbumf ~
hcxmecbnamf$
Cd crum sdneme mdmfn{mycagr fmr bmymbucyrunbmr ec fgr
rnrucamr dsaynbgr mbusmfcr ~ mpfnbmycagr
gpcymbngdcr pmym giucdcy rs c}snmfcdbnm cduyc bmem
sdg ec cffgr$
7/23/2019 Unidad 1. Sistemas Numericos[1]
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Amucaunbmr enrbycumrSdneme =$ Rnrucamr dsaynbgr
Cesbmbnd Rspcyngy Mincyum ~ m Enrumdbnm Bncdbnmr Cxmbumr& Ndjcdncymr ~ Ucbdgfgjm
3
=$=$=$ Bmymbucyrunbmr ec fgr rnrucamr dsaynbgr
M pcrmy ec }sc cxnruc sd dacyg bgdrnecymifc ec rnrucamr dsaynbgr fgr ar sunfn{megr rgd ecbnamf&
indmyng& gbumf ~ hcxmecbnamf ~ rs pyndbnpmf bmymbucyrunbm cr }sc crugr rnrucamr dsaynbgr sunfn{md sdm imrc$
Fm imrc ec sd rnrucam dsaynbg cr cf dacyg ec ejnugr en`cycducr srmegr cd crc rnrucam$
M bgdundsmbnd rc ckcapfn`nbm cd fm umifm =$= crum ec`ndnbnd bgd fgr rnrucamr dsaynbgr ar bgadacducsunfn{megr$
M fg fmyjg ec cruc bsyrg pmym enrundjsny cduyc fgr en cycducr rnrucamr dsaynbgr cdbcyymycagr cduyc
pmyducrnr cf dacyg ~ mmenycagr sd rsidenbc ndenbmdeg rs imrc$ Rnd caimyjg& rn dg rc srm rsidenbc
rc cducdecy }sc cf dacyg cru cd imrc enc{$
Ckcapfg
M bgdundsmbnd rc mdmfn{my bgd ecumffc fgr rnrucamr dsaynbgr ecbnamf& indmyng& gbumf ~ hcxmecbnamf$
=$=$9$ Rnrucam ecbnamf
Sd rnrucam dsaynbg rc ec`ndc bgag cf bgdksdug gyecdmeg ec raigfgrg ejnugr ~ m fmr ycjfmr bgd }sc rc bgaindmd pmym ycpycrcdumy
bmdunemecr dsaynbmr$
Cf rnrucam dsaynbg }sc srmagr ugegr fgr emr cd fm crbscfm ~ cd
dscruym nem bgunenmdm rc bgdgbc bgag rnrucam dsaynbg ecbnamf& cdruc sd dacyg cr ycpycrcdumeg pgy sdm bmecdm ec ejnugr ~ bmem
pgrnbnd uncdc sd pcrg mrgbnmeg$
7/23/2019 Unidad 1. Sistemas Numericos[1]
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Amucaunbmr enrbycumrSdneme =$ Rnrucamr dsaynbgr
Cesbmbnd Rspcyngy Mincyum ~ m Enrumdbnm Bncdbnmr Cxmbumr& Ndjcdncymr ~ Ucbdgfgjm
0
Cf mfgy ecf dacyg cr fm rsam pgdecymem ec ugegr fgr ejnugr& pgy ckcapfg;
Cf pcrg ec bmem pgucdbnm ec =? bgyycrpgdec m fm pgrnbnd ecf ejnug ( umifm =$9.$
Ckcapfg
Cf rnrucam dsaynbg ecbnamf cr cxpycrmeg bgd sdm imrc =?& fg }sc rnjdn`nbm }sc fmr bmdunemecr rgd
ycpycrcdumemr sunfn{mdeg =? ejnugr (?& =& 9& 2& 5& 3& 0& :& 8& >.$
=$=$2$ Rnrucam indmyng
Fm nd`gyambnd }sc amdckmd fgr bnybsnugr }sc bgduncdcd fgr rnrucamr ec bapsug uncdc rcmfcr }sc crud
cd sdm ec egr bgdenbngdcr; mfug g imkg& mbunmeg g ecrmbunmeg& cub$
Cruc rnrucam dsaynbg sunfn{m fm imrc 9& cr ecbny& rgfg sunfn{m egr ejnugr (? ~ =. pmym ycpycrcdumy bmdunemecr& M& I& B& E& C& @. pmym ycpycrcdumy
bmdunemecr$
Ckcapfg
Mbunneme =$ Mpfnbmbnd ec fmr ycpycrcdumbngdcr dsaynbmr_ygprnug
_ycrcdumy ycmr cd egdec rc pscemd sunfn{my fmr ycpycrcdumbngdcr dsaynbmr mecar ec fm bgapsumbnd$
Ndruysbbngdcr
Crum cr fm pynacym mbunneme ec dscruyg bsyrg& cr pgy crg }sc mducr ec ycmfn{my cf uymimkg pygpnmacduc
ycfmbngdmeg bgd cf ucam }sc mbmimagr ec crusenmy& hmycagr sd pc}scg pmyducrnr pmym ecenbmy sd
agacdug m pycrcdumydgr bgd cf jyspg$
Cdugdbcr& fg pynacyg }sc uncdcr }sc hmbcy& cr ndjycrmy mf `gyg }sc ffcm cf anrag dgaiyc }sc crummbunneme& sdm c{ mh& em bfnb rgiyc fm cduymem _ycrcdumbnd~ ecduyg ec rum& mjycjm us pycrcdumbnd cd
sd dscg bgacdumyng$ Bgdrnecym fg rnjsncduc;
Ndenbm us fsjmy ec ycrnecdbnm& usr cxpcbumunmr ec fm mrnjdmusym& }sc bgdgbnancdugr pycngr uncdcr
ec rum& cduyc guygr psdugr }sc }sncymr bgapmyuny$
Bsmdeg ~m hm~mr ycmfn{meg us pycrcdumbnd ycjycrm m fm pmdumffm pyndbnpmf ecf `gyg ~ crum c{ mbbcec m fm
cduymem Mpfnbmbngdcr ec fmr ycpycrcdumbngdcr dsaynbmr$_grucyngyacduc ycrpgdec fmr rnjsncducrpycjsdumr;
Ec fg }sc uc ygecm edec pscecr sunfn{my fmr ycpycrcdumbngdcr dsaynbmr7
Edec hmr gircymeg crugr unpgr ec dsacymbnd7
Byccr }sc crugr benjgr mecar ec ycpycrcdumy dacygr pscemd ycpycrcdumy gikcugr g bgfgycr7
Bgdrsfum fm Yiynbm ec pmyunbnpmbnd jcdcymf cd `gygr& }sc rc cdbscduym cd fm rcbbnd Amucynmf ec
mpg~g$
7/23/2019 Unidad 1. Sistemas Numericos[1]
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Amucaunbmr enrbycumrSdneme =$ Rnrucamr dsaynbgr
Cesbmbnd Rspcyngy Mincyum ~ m Enrumdbnm Bncdbnmr Cxmbumr& Ndjcdncymr ~ Ucbdgfgjm
>
=$9$ Bgdcyrngdcr
_mym en`cycducr mpfnbmbngdcr ucbdgfjnbmr ec
cfcbuydnbm ~ bgapsumbnd cr napgyumduc sunfn{my
c}snmfcdbnmr cduyc bmem sdg ec fgr rnrucamr
dsaynbgr mpfnbmdeg bgdcyrngdcr< rnd caimyjg& fm
bgdcyrnd cduyc egr imrcr dg pscec hmbcyrc pgy
rnapfc rsrunusbnd& rc yc}sncyc ec gpcymbngdcr
mynuaunbmr$
=$9$=$ Bgdcyrngdcr ecbnamf!indmyng
Sdm ec fmr bgdcyrngdcr ar sunfn{memr cr ec ecbnamf m indmyng ~ nbccyrm$ Mducr ec ycmfn{my fmr
bgdcyrngdcr cr napgyumduc acdbngdmy }sc cxnrucd en`cycducr ubdnbmr pmym bgdgbcy rs c}snmfcdbnm< rnd
caimyjg& sunfn{mycagr sdm ubdnbm rcdbnffm ffmamem c}snmfcdbnm ec mbscyeg m rs pgrnbnd$ Crum ubdnbm
napfnbm fm rsam pgdecymem ec bmem sdm ec rsr pgrnbngdcr$
Cd fm umifm =$2 cr pgrnifc gircymy cf mfgy cd ecbnamf ec bmem pgrnbnd ecf rnrucam dsaynbg indmyng$
Ycbgyecagr }sc cd cf rnrucam dsaynbg indmyng rc sunfn{md 9 ejnugr (? ~ =.$ Cf = cr sunfn{meg pmym emy cf
mfgy dsaynbg& ~ cf ?& pmym ffcdmy fm pgrnbnd ec fm bsmf dg dcbcrnumagr cf mfgy$
7/23/2019 Unidad 1. Sistemas Numericos[1]
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Amucaunbmr enrbycumrSdneme =$ Rnrucamr dsaynbgr
Cesbmbnd Rspcyngy Mincyum ~ m Enrumdbnm Bncdbnmr Cxmbumr& Ndjcdncymr ~ Ucbdgfgjm
=?
Ckcapfg
Ec mbscyeg bgd fm umifm =$2& cf mfgy c}snmfcduc cd ecbnamf rcjd rs pgrnbnd cr;
Ycbgyecagr }sc rgfg rc ugam cd bscdum cf mfgy ecf ejnug =& ~m }sc cf ejnug ? rc sunfn{m pmym ffcdmy fgr
crpmbngr egdec dg dcbcrnumagr cf mfgy& ec umf `gyam }sc;
Guyg ckcapfg rcym;
Ugamdeg cd bscdum fm pgrnbnd ec fgr ejnugr = ucdcagr;
Fm rsam ec fmr pgrnbngdcr cr; (=>?.=?
_gy fg umdug;
Hmrum cf agacdug hcagr ycmfn{meg gpcymbngdcr pmym bgdgbcy fm c}snmfcdbnm ec rnrucam dsaynbg indmyng
m rnrucam dsaynbg ecbnamf$ _mym ycmfn{my bgdcyrngdcr ec rnrucam dsaynbg ecbnamf m indmyng rc sunfn{m sd
augeg rcackmduc$
7/23/2019 Unidad 1. Sistemas Numericos[1]
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Amucaunbmr enrbycumrSdneme =$ Rnrucamr dsaynbgr
Cesbmbnd Rspcyngy Mincyum ~ m Enrumdbnm Bncdbnmr Cxmbumr& Ndjcdncymr ~ Ucbdgfgjm
==
Ckcapfg
Ucdcagr cf dacyg cd ecbnamf (58.=? ~ dcbcrnumagr rs
c}snmfcduc indmyng sunfn{mdeg fm umifm =$2$ Bgacd{magr bgdfm pgrnbnd 0& }sc c}snmfc mf dacyg 29 cd ecbnamf& ~m }sc
fm pgrnbnd : cr 05 cd ecbnamf ~ cxbcec cf dacyg (58.=? ecf
bsmf dcbcrnumagr bgdgbcy rs c}snmfcdbnm$ M pmyuny ec fm
pgrnbnd 0 bgacd{mycagr dscruym rsam ec pgrnbngdcr
pygbsymdeg }sc crm rsam rc mksruc mf dacyg }sc
dcbcrnumagr bgdgbcy& ycbgyecagr }sc cf ejnug = cd indmyng cr
cf }sc fc em cf mfgy m fm pgrnbnd ~ cf ejnug ? cr rgfg pmym
ffcdmy crpmbng$ _gy fg umdug& ucdcagr;
Mbunneme 9$ Bgdcyrnd ec ecbnamf m indmyng_ygprnug
Ycmfn{my bgdcyrngdcr ec rnrucam ecbnamf m rnrucam indmyng$
Ndruysbbngdcr
Hm ffcjmeg fm hgym ec ffcmy m fm pybunbm fg }sc mbmimr ec mpycdecy& pmym hmbcyfg&
ecicyr ycmfn{my fg rnjsncduc;=$ Cd sd mybhng ec Zgye& bgdncyuc fgr rnjsncducr ckcybnbngr ec dsacymbnd ecbnamf m
dsacymbnd indmynm$
m$ (=23.=?
i$ (::.=?
b$ (82.=?
e$ (9??.=?
c$ (=3.=?
9$ Jsmyem us egbsacdug bgd cf dgaiyc AENWS=WM9WXX^[$
2$ Cdm us mybhng m @mbnfnumegy(m. ~ crpcym rs ycuygmfnacdumbnd$
7/23/2019 Unidad 1. Sistemas Numericos[1]
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Amucaunbmr enrbycumrSdneme =$ Rnrucamr dsaynbgr
Cesbmbnd Rspcyngy Mincyum ~ m Enrumdbnm Bncdbnmr Cxmbumr& Ndjcdncymr ~ Ucbdgfgjm
=9
=$9$9$ Bgdcyrngdcr indmyng!gbumf!hcxmecbnamf
Sdm pmyuc napgyumduc ec fmr bgdcyrngdcr cr }sc pgecagr ucdcy ycpycrcdumbngdcr iyccr sunfn{mdeg
en`cycducr rnrucamr ec dsacymbnd& umf cr cf bmrg ec fgr rnrucamr ec dsacymbnd gbumf ~ hcxmecbnamf& crug
rc ecic m }sc sunfn{md en`cycducr ejnugr$ Bgacdbcagr bgd fm bgdpcyrnd ec indmyng m gbumf$ Ycbscyem}sc cf rnrucam ec dsacymbnd gbumf sunfn{m 8 ejnugr (?& =& 9& 2& 5& 3& 0& :.$ Hmbncdeg srg ec fm umifm =$5gircycagr fm c}snmfcdbnm ec indmyng m gbumf$
Ckcapfg
Bgdcyrnd indmyng m gbumf
Rspgdjmagr }sc ucdcagr cf dacyg cd indmyng (=?===??=.9 ~ dcbcrnumagr rs c}snmfcduc cd rnrucam
dsaynbg gbumf$
Cf pynacy pmrg cr ycmfn{my mjyspmbngdcr ec uycr inur pmyuncdeg ec ecycbhm m n{}sncyem bgag rc ascruym mbgdundsmbnd;
Sunfn{mdeg fm umifm =$5 ec `gyam enycbum bgdcyunagr rs c}snmfcduc ec indmyng cd gbumf bgag rn `scymd
jyspgr ndecpcdencducr$
7/23/2019 Unidad 1. Sistemas Numericos[1]
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Amucaunbmr enrbycumrSdneme =$ Rnrucamr dsaynbgr
Cesbmbnd Rspcyngy Mincyum ~ m Enrumdbnm Bncdbnmr Cxmbumr& Ndjcdncymr ~ Ucbdgfgjm
=2
Ckcapfg
Cd ycrsacd ucdcagr;
Mhgym ycmfn{mycagr fm bgdcyrnd ec indmyng m hcxmecbnamf& ycbgyemdeg }sc cf rnrucam dsaynbghcxmecbnamf sunfn{m =0 ejnugr (?&=&9&2&5&3&0&:&8&>&M&I&B&E&C&@&.$ Hmbncdeg srg ec fm umifm =$3 gircycagrfm c}snmfcdbnm ec indmyng m hcxmecbnamf;
7/23/2019 Unidad 1. Sistemas Numericos[1]
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Amucaunbmr enrbycumrSdneme =$ Rnrucamr dsaynbgr
Cesbmbnd Rspcyngy Mincyum ~ m Enrumdbnm Bncdbnmr Cxmbumr& Ndjcdncymr ~ Ucbdgfgjm
=5
Ckcapfg
Bgdcyrnd indmyng m hcxmecbnamf
Rspgdjmagr }sc ucdcagr cf dacyg cd indmyng (===?=?===??=.9 ~ dcbcrnumagr rs c}snmfcduc cd rnrucam
dsaynbg hcxmecbnamf$
Cf pynacy pmrg cr hmbcy mjyspmbngdcr ec bsmuyg inur pmyuncdeg ec ecycbhm m n{}sncyem bgag rc ascruym m
bgdundsmbnd;
Sunfn{mdeg fm umifm =$3 ec `gyam enycbum bgdcyunagr rs c}snmfcduc ec indmyng cd hcxmecbnamf bgag rn`scymd jyspgr ndecpcdencducr$
Ckcapfg
Cd ycrsacd ucdcagr;
7/23/2019 Unidad 1. Sistemas Numericos[1]
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Amucaunbmr enrbycumrSdneme =$ Rnrucamr dsaynbgr
Cesbmbnd Rspcyngy Mincyum ~ m Enrumdbnm Bncdbnmr Cxmbumr& Ndjcdncymr ~ Ucbdgfgjm
=3
Mbunneme 2$ Bgdcyrngdcr indmyng! gbumf!hcxmecbnamf
_ygprnug
Ycmfn{my bgdcyrngdcr ec rnrucam indmyng m rnrucam gbumf g rnrucam hcxmecbnamf$
Ndruysbbngdcr
_mym pymbunbmy fg mpycdeneg rgiyc fmr bgdcyrngdcr ec indmyng m gbumf ~ ecbnamf& ycmfn{m fg }sc rc uc
pnec m bgdundsmbnd;
=$ Bgdncyuc fgr rnjsncducr ckcybnbngr ec dsacymbnd indmynm m gbumf g hcxmecbnamf$
(==?=?=.9 m gbumf
(==??====.9 m hcxmecbnamf
(======.9 m gbumf
(===?===?.9 m hcxmecbnamf
9$ Jsmyem usr ckcybnbngr cd sd egbsacdug ec Zgyebgd cf dgaiyc AENWS=WM2WXX^[ ~ cdmfgm @mbnfnumegy(m.$
=$9$2$ Bgdcyrngdcr cduyc enrundumr imrcr^m hcagr ycmfn{megr gpcymbngdcr pmym bgdgbcy rsr c}snmfcdbnmr ec ecbnamf m indmyng ~ nbccyrm& ec
indmyng m gbumf ~ ec indmyng m hcxmecbnamf& pcyg }s pmrmym rn }snrnymagr ycmfn{my sdm bgdcyrnd ec
ecbnamf m hcxmecbnamf g m gbumf7 M bgdundsmbnd ycmfn{mycagr fgr pygbcrgr$
Ckcapfg
Bgdcyrnd ec ecbnamf m gbumf$
Rspgdjmagr }sc dcbcrnumagr bgdgbcy fm c}snmfcdbnm ec (=?3.=? cd rnrucam dsaynbg gbumf$
Cf pynacy pmrg ucdeym }sc rcy fm bgdcyrnd ecf rnrucam dsaynbg ecbnamf cd cf rnrucam dsaynbg indmyng
bgag rc ascruym m bgdundsmbnd;
Ycbgyecagr }sc cruc pygbcrg ~m fg hcagr mdmfn{meg cd fm rcbbnd =$=$0< sdm c{ }sc ucdcagr cf benjg
cd indmyng fg }sc ycrum cr bgdcyuny cf rnrucam indmyng cd rnrucam gbumf srmdeg fm umifm =$5 bgag rc ascruym;
7/23/2019 Unidad 1. Sistemas Numericos[1]
16/22
Amucaunbmr enrbycumrSdneme =$ Rnrucamr dsaynbgr
Cesbmbnd Rspcyngy Mincyum ~ m Enrumdbnm Bncdbnmr Cxmbumr& Ndjcdncymr ~ Ucbdgfgjm
=0
_gy fg umdug cd bgdbfsrnd pgecagr ecbny }sc;
Cf pygbcrg pmym bgdgbcy cf c}snmfcduc ec ecbnamf cd hcxmecbnamf cr as~ pmycbneg$
Ckcapfg
Rspgdjmagr }sc dcbcrnumagr bgdgbcy cf dacyg (=:?.=? cd rnrucam dsaynbg hcxmecbnamf$
Cf pynacy pmrg rcy bgdcyuny cf dacyg ecbnamf cd dacyg indmyng bgag rc hm hcbhg cd fm rcbbnd =$=$0$
Sdm c{ }sc ucdcagr cf dacyg cd indmyng fg bgdcyunagr cd hcxmecbnamf bgag cd fm rcbbnd =$=$:
srmdeg fm umifm =$3 ec umf `gyam }sc;
_gy fg umdug& cd bgdbfsrnd pgecagr ecbny }sc;
7/23/2019 Unidad 1. Sistemas Numericos[1]
17/22
Amucaunbmr enrbycumrSdneme =$ Rnrucamr dsaynbgr
Cesbmbnd Rspcyngy Mincyum ~ m Enrumdbnm Bncdbnmr Cxmbumr& Ndjcdncymr ~ Ucbdgfgjm
=:
Mbunneme 5$ Bgdcyrngdcr cduyc enrundumr imrcr
_ygprnug
Ycmfn{my bgdcyrngdcr cduyc fgr enrundugr rnrucamr dsaynbgr$
NdruysbbngdcrMhgym ugbm cf usydg m fmr bgdcyrngdcr cduyc enrundumr imrcr& ycmfn{m fg }sc rc pnec cdrcjsnem;
=$ Bgdncyuc fgr rnjsncducr ckcybnbngr cd cf benjg }sc rc uc ndenbm$
(5@.=0 m indmyng
(=?====.9 m gbumf
(20.8 m ecbnamf
(0>.=? m indmyng
9$ Jsmyem us egbsacdug cd Zgyebgd cf dgaiyc AENWS=WM5WXX^[$
2$ Cdm fgr ycrsfumegr m us @mbnfnumegy(m.$
=$2$ Gpcymbngdcr indmynmrFm rsam ~ fm ycrum ec dacygr indmyngr srmd fm anram ubdnbm mpycdenem cd fm crbscfm pmym fgr dacygr
ecbnamfcr$ Cr napgyumduc acdbngdmy }sc cruc unpg ec gpcymbngdcr rc ycmfn{m bgd `ycbscdbnm cd fgr rnrucamr
enjnumfcr umfcr bgag bgapsumegymr ~ rnrucamr ec bgasdnbmbnd& cduyc guygr& pgy fg }sc bgiym sdm am~gy
napgyumdbnm sunfn{my gpcymbngdcr indmynmr$
@nj$ =$ Ycpycrcdumbnd ec bgducg agesfmy ec dacygr ec 5 inur$
Cd fm dsacymbnd ecbnamf pmym
ycpycrcdumy dacygr dcjmungr rgfg hm~
}sc asfunpfnbmy pgy (!=. cf dacyg
pgrnung< rnd caimyjg& cd cf rnrucam
indmyng cxnruc sdm ycpycrcdumbndcrpcbnmf pmym fmr bmdunemecr dcjmunmr$
Cd fm `njsym =$& rc cxpycrmd fgr dacygr
ecbnamfcr umdug pgrnungr bgag
dcjmungr ~ rs bgyycrpgdencduc cd
indmyng$
7/23/2019 Unidad 1. Sistemas Numericos[1]
18/22
Amucaunbmr enrbycumrSdneme =$ Rnrucamr dsaynbgr
Cesbmbnd Rspcyngy Mincyum ~ m Enrumdbnm Bncdbnmr Cxmbumr& Ndjcdncymr ~ Ucbdgfgjm
=8
=$2$=$ Rsam indmynm
Fm rsam rc ycmfn{m inu m inu cduyc bgfsadmr ec ecycbhm m
n{}sncyem& cyn`nbmdeg rn cxnruc sd mbmyycg$
Cf mbmyycg cr sd inu cxuym }sc rc jcdcym m pmyuny ec fm rsam
ec = , = cruc inu ec mbmyycg rc mrnjdm m fm bgfsadm
n{}sncyem pyxnam$ Cd fm umifm =$0 rc ascruym imkg }sbgdenbngdcr rc pycrcdum sd mbmyycg$
M bgdundsmbnd rc pycrcdum sd ckcapfg ec fm rsam ec egr dacygr indmyngr;
Cd fm pynacym bgfsadm ec fm ecycbhm& cf dacyg =,=1? bgd mbmyycg =$ Crc inu ec mbmyycg rc pmrm m fm
rnjsncduc bgfsadm ec fm n{}sncyem pmym rsamyfg& pgy fg umdug }scem =,?1= ~ =,=1? bgd mbmyycg =$ Cruc inu
ec mbmyycg pmrm m fm rnjsncduc bgfsadm ec fm n{}sncyem& pcyg cd crum gbmrnd dg uncdc }sc rsamyrc bgd
dndjd inu pgy fg umdug pmrm hmrum cf ycrsfumeg$
Sdm `gyam ec bgapygimy fm rsam cr bgdnyuncdeg fgr rsamdegr ~ cf ycrsfumeg m ecbnamf ~ bgapygimy rn
bgndbnecd$
Ckcapfg
7/23/2019 Unidad 1. Sistemas Numericos[1]
19/22
Amucaunbmr enrbycumrSdneme =$ Rnrucamr dsaynbgr
Cesbmbnd Rspcyngy Mincyum ~ m Enrumdbnm Bncdbnmr Cxmbumr& Ndjcdncymr ~ Ucbdgfgjm
=>
Guyg ckcapfg rcym;
Ycmfn{m fm rnjsncduc gpcymbnd;
Pcyn`nbm cf ycrsfumeg bgdnyuncdeg cf dacyg indmyng cd ecbnamf$
=$2$9$ Ycrum indmynm
Fm ycrum ec dacygr indmyngr pscec ycmfn{myrc bgag rn `scrcd dacygr indmyngr gyendmyngr rnd rnjdg& ~
pscecd `gyasfmyrc ycjfmr mpygpnmemr pmym ecucbumy cf ecrigyec$ Cf ecrigyec cr sd inu `ndmf }sc ecucyandm
cf rnjdg ecf ycrsfumeg$ Rnd caimyjg& fm am~gym ec fgr bnybsnugr pmym ycrum ec dacygr indmyngr dg ycmfn{m fm
ycrum ec `gyam enycbum< ar incd dncjm cf rsruymcdeg ~ fscjg fg rsam mf andscdeg bgd fmr ycjfmr dgyamfcr
ec fm rsam$
Dcjmy cf rsruymcdeg ~ rsamy cf andscdeg pscec ycmfn{myrc bgd sdm rgfm gpcymbnd ec rsam bgag rnjsc;bgdncyuc m indmyng cf rsruymcdeg& fscjg ramfg mf andscdeg bgd sd mbmyycg ndnbnmf ec = cd c{ ec ?$ Cd
rcjsnem rc emd mfjsdgr ckcapfgr;
Cd cruc ckcapfg cr napgyumduc acdbngdmy }sc& pmym dcjmy cf rsruymcdeg (??==.9 c}snmfcduc mf ,2&
rnapfcacduc rc bmainm cf bcyg (?. pgy sdg (=. ~ nbccyrm pgy fg umdug }scem bgag (==??.9
7/23/2019 Unidad 1. Sistemas Numericos[1]
20/22
Amucaunbmr enrbycumrSdneme =$ Rnrucamr dsaynbgr
Cesbmbnd Rspcyngy Mincyum ~ m Enrumdbnm Bncdbnmr Cxmbumr& Ndjcdncymr ~ Ucbdgfgjm
9?
@ndmfacduc rc ycmfn{m fm rsam inu m inu giucdncdeg cf ycrsfumeg$ Guyg ckcapfg cr;
Ckcapfg
Cd cruc ckcapfg gircymagr fm ycrum ec egr dacygr dcjmungr$ Sunfn{mdeg fm `njsym =$2 pgecagr bgdgbcy
}s bgaindmbnd indmynm bgyycrpgdec m bmem dacyg dcjmung& pgy ckcapfg !2 1 (==?=.9 ~ !8 1 (=???.9$
Mhgym cf rnjsncduc pmrg cr mpfnbmy fmr ycjfmr; dcjmy cf rsruymcdeg& cr ecbny& cd (=???.9 bmainmagr bcygr
pgy sdgr ~ nbccyrm }scemdeg bgag ycrsfumeg (?===.9< m bgdundsmbnd rc ycmfn{m fm rsam inu m inu ~
giucdcagr cf ycrsfumeg$
7/23/2019 Unidad 1. Sistemas Numericos[1]
21/22
Amucaunbmr enrbycumrSdneme =$ Rnrucamr dsaynbgr
Cesbmbnd Rspcyngy Mincyum ~ m Enrumdbnm Bncdbnmr Cxmbumr& Ndjcdncymr ~ Ucbdgfgjm
9=
Cnecdbnm ec mpycden{mkc$ Rnrucam dsaynbg ec an `cbhm ec dmbnancdug
Bgag rmicr& fm cduycjm ec usr Cnecdbnmr ec mpycden{mkc cr as~ napgyumduc pmym us cmfsmbnd `ndmf ecf
bsyrg$ Fm cnecdbnm bgdrum ec egr pmyucr; ec fmr cduycjmr }sc hmjmr ec fgr uymimkgr rgfnbnumegr ~ ec fmr
msugyyc`fcxngdcr pgy sdneme& ec ageg }sc pmym bmem sdm ec fmr sdnemecr ec fm mrnjdmusym ecicyr bsapfny
bgd maimr bgrmr$
_mym bgacd{my bgd fm pynacym pmyuc;
=$ Ycmfn{m fm bgdcyrnd ec fm `cbhm ec dmbnancdug ec 3 ancaiygr ec us `manfnm bgag rnjsc;g
Cf em bgdcyunyfg m rnrucam hcxmecbnamfg Cf acr bgdcyunyfg m rnrucam gbumf
g Cf mg bgdcyunyfg m rnrucam indmyng
9$ Mcynjsm bsf cr fm `cbhm }sc rc giuncdc ec bgdcyuny fgr rnjsncducr benjgr cd rnrucam ecbnamf$
=$ (====.9 ' (?I.=0 ' (=302.8
9$ (=??=.9 ' (?>.=0 ' (=:32.8
2$ (==??.9 ' (?M.=0 ' (=520.8
2$ Bgdrsfum fm Crbmfm ec cmfsmbndpmym bgdgbcy fgr bynucyngr }sc ecic bsapfny us mbunneme$
5$ Bsmdeg hm~mr ucyandmeg us cnecdbnm& jsmyem us egbsacdug bgd cf dgaiyc AENWS=WCMWXX^[~ cdmfg m us @mbnfnumegy(m. pmym }sc uc ycuygmfnacduc$ _grucyngyacduc ycnrm fgr bgacdumyngr~ mundecfgr pmym ackgymy us uymimkg ~ gfcyfg m cdnmy
_mym fm rcjsdem `mrc ec fm Cnecdbnm ec crum sdneme& cr napgyumduc }sc ndjycrcr mf `gyg _ycjsdumr ecMsugyyc`fcxnd~ bgdrsfucr fmr pycjsdumr }sc us @mbnfnumegy(m. `gyasfc& m pmyuny ec cffmr& ecicr cfmigymy us
Msugyyc`fcxnd cd sd mybhng ec ucxug ffmameg AENWS=WMUYWXX^[$ Us mybhng fg ecicyr cdnmy acenmducfm hcyymancdum Msugyyc`fcxngdcr$
7/23/2019 Unidad 1. Sistemas Numericos[1]
22/22
Amucaunbmr enrbycumrSdneme =$ Rnrucamr dsaynbgr
Bncyyc ec fm sdneme
@cfnbnemecr---& hmr ffcjmeg mf `ndmf ec crum sdneme& cd fm bsmf mpycdenruc fmr bmymbucyrunbmr ec fgrrnrucamr dsaynbgr ecbnamf& indmyng& gbumf ~ hcxmecbnamf& mr bgag fgr pygbcenancdugr pmym ycmfn{my
bgdcyrngdcr ec sd rnrucam dsaynbg m guyg$
Uc ndnumagr m ndnbnmy cf cruseng ec fm sdneme 9$ Jym`gr ~ yigfcr cd egdec mpycdecyr m ycpycrcdumy emugr$
@scducr ec bgdrsfum
Amugsrcl& K$ ~ Dcrcuynf& K$ (9??8.$ Ndnumbnd m fm amucaunbm enrbycum$ Crpmm; Yccyuc$
Agyynr Amdg& A$ (9??:.$ @sdemacdugr ec enrcg fjnbg ~ ec bgapsumegymr$ Crpmm; _cmyrgd$
Hgyumfm Jgd{fc{& A$ U$ (9??8.$ Amucaunbm enrbycum ~ fjnbm amucaunbm$ Crpmm; Bgapfsucdrc$