unidad 1. sistemas numericos[1]

7/23/2019 Unidad 1. Sistemas Numericos[1]

1/22

Amucaunbmr enrbycumrSdneme =$ Rnrucamr dsaynbgr

Cesbmbnd Rspcyngy Mincyum ~ m Enrumdbnm Bncdbnmr Cxmbumr& Ndjcdncymr ~ Ucbdgfgjm

=

Amucaunbmr enrbycumr

Sdneme =$

Rnrucamr dsaynbgr


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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


3/22



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$


4/22



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$


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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$


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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$


9/22



>

=$9$ 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$


10/22



=?

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$


11/22



==

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$


12/22



=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$


13/22



=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;


14/22



=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;


15/22



=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;


16/22



=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;


17/22



=:

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$


18/22



=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


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=>

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


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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$


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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$


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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$

unidad 1. sistemas numericos[1]

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