Implementación de funciones Booleanas Andrés Prieto

Anuncio
"!#$%&'&
(*),+.-0/21*34-05762809;:<=9>-06?),9
@BA 80CEDF9G>6?HJIK6?-ML>N>NOL
P
QSRTVU,WYX*ZM[\[\]_^R
`bacda4egf2hifkjicdf2hKlnmoprqmqe2jsakcqh\t_fe;hujdcivlrc0w2fxpnfzy2vgq{ji|0t_el}tamqe?jiq&h~q%pnp}akmYa€ƒ‚g„†…_s‡}wˆo>fc\pnfjdake?jdfqeFqh~jiq{jdqmYazh~q{‰Ša
aq0hujdvg‹Bl}akcKtfmfaogac~jdlncŒ‹Bqp}ahŒqt_v;at_lrfegqh.>f?f2pnq0akega2hbh~qogvq‹Bq%t_fe;hujdcivlrc.Ž}h~l}tamzqe?jiqve$tlncst_vlnjif4‹Blr‘lnjdap7’.`bakcsa&qprpnf
egf2hga2hiaciqmf2h\qep}ah\“S”g…_•„†–—4˜n™dš‡œ›d–Šw>y?vqhifeprf2hqpnqmzqe?jif2h{gžhilrtf2h‹Bqpraqpnq0tjicdŸeglrtaz‹ln‘2l jsakp¡w¢My?vqhifetakoga2t_qh
‹q4ciq0akprln£0akc\Žrhil}takmqe2jdqpra2hfo>qcsat_lrfegqh\gžhil}tah‹Bqp¤žkpr‘qcsa‹Bq¥\fˆfprqY¦¡§xw©¨ˆw ªdw©«¬’
­Vah%ovqc~jsah%pnŸ2‘l}tah&hiqovq0‹BqeJt_f2mocdac®qe¯p}ah®jilrqeg‹a2h‹Bqxqpnq0tjdciŸ2elrta$¢hivqprqe°‰qeglnc&qegtakoghivp}a‹a2h®qe¯prfMy?vq
hiqFhivqprqYprpramac4ve±t_lrcst_vlnjiflre?jiq‘2cda2‹Bf*f²›d³B‡ “´¦œ‰qcµ;‘vcsaJ¶0¬_’M·{e;aovqcijdaprŸ‘2lrta*qh~jda*ŽfcdmYa‹a*o>fcvgegahiqcdlnqY‹Bq
jdcdaeghilrh~jif2ciq0h.¢z‹BlrfB‹Bf2hKy2vgq®h~q‘¸eYtfmfh~q%t_fegqtjdqeYqe2jdciqqpnprf2hbŽfcdmaevega4vYfjicsaovqcijdag’,¹ºh~vY‰2q£prf2h.jdcdaegh~l}h~jifcdqh
q0hujsžke*ŽfcdmYa‹Bf?h\o;f2c{t_fmo>f2hilrtlnf2eqhhiqml}t_fe;‹Bvgtjdfcsaht_f2mfxqpV»ˆl¡w;¼&qwqjdt’
¹t_jivgapnmqe2jdqwbakvgegy?vqYpra2hovgqcijdahh~q0akeJpragahiq$‹Bq$prf2hxt_lrcdtvl jdf2h‹ln‘2l jsakprqhwVef°h~q$hivqprqe½vjilrpnlr£acxt_f2mfjdakp¡wbakp
tfe?jicsakcdlrfgw¾hiqzvjilrpnlr£ae°fjicdf2ht_lrcdtvlnjif2h&mYžh‘2qeqcdapnq0h%y?vqo>qcdml jdqe½h~qct_f2eBµg‘vgcda2‹Bf2h®ogakcsaFcdqapnlr£ac&Žvegt_lrfegqhmYžh
tfmoprlrta‹a2h’J¿ŒeÀprv‘2acz‹BqMjiqeqcy?vq*velrcz‰Šacilrf2hztsÁlrogh;žhilrtf2hwŒh~q*vBjilrprln£0a°hiŸprf¯vegf°ocdf‘2cdamYakprqw,qhzprf'y?vqh~q
prp}akmYalnmoprqmqe2jsatlnŸ2etfe‹Bl}h~o>f2hilnjilr‰f2hprŸ‘2lrtf2h\ocdf‘2cdamaprqh\fY`K­¤Â&h’Â%q4jifB‹a2hŽfcdmYahqep}ahjdlnqeg‹a2h{h~qhilr‘vqe
qegt_f2e?jicsakeg‹Bfzprf2htsÁlroghgž2h~l}t_f?h¢Mh~qovq0‹BqetfeghivpnjdakcqeMprf2hprlngcif?h\‹q4ciqŽqcdqegtlrag’V`.fcq~ÃuqmoprfYĤqÅBa2hƆegh~jicdvmqe?jdh
ogvprlrtaYakeˆvgakprmqe?jiqqp¾Â%akjdaY¥\fˆfÇ$‹Bq4p}ahovgqcijdahÄÄ­Jy?vqŽœacil}tag’
È
É´Z*ÊU¤TVËÌÎÍ'^Ï]_[\ËÌÐEQOÑÓÒ*ÔÊ{ÑÕÊRT,Ë[]^RÖX*Ê"׊ZMR*[]WRMÊÌ
¿KeFp}aµg‘vgcdaØh~q{ogvq‹Bq%qegtfe?jicsakcKvegajsakp}at_f2e$qp;efmxcdqwˆ‹Bqhdt_cdlnoSt_lrŸeY¢xŽvegtlnŸ2eFy?vq®cdqapnlr£a4ta‹aogvqcijdapnŸ2‘l}ta’
Ùq‹Bl}ake?jiqpra2h¤ogvqcijda2h¤ake?jdqcdlnf2ciq0h¾h~qovq0‹Bqexlnmoprqmqe?jsakc¾jdfB‹ahVpra2h¾Žvgegt_lrfeq0h¤>fˆfprqaegahVy2vgq‹Bq0hitcilr;qe4jiqŸcdlrtakmqe?jdq
aprf2hh~l}hujdqmYah4‹ln‘2l jsakprqh’FÚ{fÁgacsžMvgega¸el}ta*Žf2cimYa‹BqYlrmopnqmqe?jda2t_lrŸe¾wVo;f2cpnfy?vq$hiqYcdqt_f2mlnqeg‹a*lne?jdqe?jdac4qp
mrelrmzf4eˆ¸mqcif‹Bqovqc~jsah,prŸ‘l}ta2h,ogakcsa®cdqapnlr£acVqpt_lrcdtvlnjifg’,¿Kh.mxv¢lrmo;f2c~jsake?jiqµkÃ~akcshiq\qexp}ah.q0y?vln‰Šapnqegt_l}ahwkt_f2mzf
o>fcq~ÃuqmoprfqpOÁq0tsÁfY‹Bq4y2vgq&vgegaÚ®¹®Ú%´qhvgegax¹%Ú®Â4§&Ú&Û&Äw¢Fmv¢$lrmo;f2c~jsake?jiq2wBat_f2cd‹gakcsh~q&‹Bqpra2hogvqcijda2hÜ%Û&Ý
¢*Ú{Ü%Û&Ý4’BÞbq0akmf2hvge*q~Ãuqmoprf$‹Bqpnf$ae?jiqcdlrfc¦ƒµg‘2vcdaYß2¬wghivo>fe‘?akmf2hy?vq4y?vqcdqmf2h\lrmopnqmqe?jdacprazŽve;t_lrŸe¾à
áãâºäå æ$åèçêé äå æ=é æ$å ä
14
13
12
11
10
9
8
1A
1Y
2A
2Y
3A
3Y
GND
SN7406
SN7406
1
2
3
4
5
6
7
VCC
6A
6Y
5A
5Y
4A
4Y
CHIP 7406: Contine 6 puertas inversoras
ë,ln‘2vcdqz¶2à.¿Œp,ì\í{Ɔ`=îŠï2ð2ñy?vq4lrmzogpnqmzqe?jdañzovqcijda2hlneˆ‰2qcsh~f2cda2h’
¶
C
C
A.B.C
A.B
F
B
A
F
B
A
A.B
F=ABC+A+B
F=ABC+AB+BA
ë,lr‘vcdqßBàb¿OÃuqmopnf$‹q4lnmoprqmqe?jsat_lrŸe‹Bq&Žvegtlnf2eqh’
`.fB‹Bqmzf?hf;h~qci‰Šakc{y?vq4p}azŽvegtlnŸ2eh~q4ogvq‹Bq4lrmoprqmqe?jdac{vBjdlnprln£0akeg‹fYvegaY¹®Ú% jdcilroprqwg‹f2h{¹%ڮ ‹Bq‹Bf2h{qe?jicsa‹a2hw
vgegaogvqcijdaxÛ&ݺ‹Bq®jdciq0hŒqe2jdcda2‹ahK¢Y‹Bf2hovqc~jsahŒlreˆ‰qcdhifcsahwkqh\‹Bq0t_lrcqeYjifjdakpSñogvqcijda2h’,`.qcdfxhil;ef?hbµkÃ~amf2hqeFy?vq
á´â äå æFå çêé äå æ=é æ$å ä=âêäå æMå ç é 䲫±æ
­VaYŽve;t_lrŸe¯hiqovgq‹Bqzlnmoprqmqe2jsakc&t_fe¯praFmzl}himaM¹®Ú%Â#jdcilroprqwOt_f2epra2h%‹f2h{lreˆ‰qcdhifcsah¢t_f2evegaFovqc~jsa$Ü%Û&Ý4w>qh
‹qt_lrc{Áqmf2hvBjdlnprln£0a‹BfYhiŸprfztvgaŠjdcifovgqcijdah’
#WR¾ZMRxTVWÌ
[WxÑÓÒ*Ô_Ê\T,WÌ
»Bq$‹BlrtqYy2vgqYve½t_fekÃuve?jif‹Bqovqc~jsahqh4tfmoprq_jdftvgake;‹Bft_fe'p}ah&ovqc~jsah4t_f2e?jiqeglr‹a2hqe'|pKhiqovq0‹BqeJt_f2eghujdcivglnc
jdfB‹ahYp}ahY‹qmYžh’ ­¤aJvBjdlnprl}‹a‹ ‹Bqprf2hYtfeŠÃuve?jdf2hYt_f2mopnqjif?hqh$aocifŠ‰2qtsÁgacxap{mYžŠÅBlnmfJprf2hYt_lrcst_vlnjif?hlne?jiq‘csa‹Bf?h’
¼&qeqcsakprmqe?jiqqeprf2h%tsÁlno;h®efF‰?lrqegqvega$ovqcijdaFakl}h~p}a‹agw;hilnegfFy?vqxhivqprqe‰2qelrc®‰Šacil}ahwgo>fc%qhifFh~l,vBjdlnprln£0akeg‹f$qhdah
ogvqcijda2ho;fB‹Bqmzf?hlrmzogpnqmzqe?jdakcfjicsahhiq&o>fB‹BcsžzaocdfŠ‰qtsÁ;akcapOmYžŠÅBlnmfp}aYtako;at_l}‹a2‹F‹Bqp¤tsÁlro¾’
¿¾Ãuqmoprf2h{‹BqtfeŠÃuvge2jdf2htfmoprq_jif?hh~f2eMprf2hhiln‘2vlrqe?jiq0hà
¶’
ßB’
ؒ
ïg’
Â%qqh~jif?ht_vgakjicdf'tfeŠÃuve?jdf2hz‰Šakmf2ha'qh~jivg‹lraczprf2h‹Bf?h¸pnjilrmzf?hwqhY‹Bq0t_lrclnmoprqmqe?jsakcjifB‹a2hzpra2hovqcijda2hzpnŸ2‘l}tah
;žhilrtahvBjdlnprln£0akeg‹fgwgo>fc®vepra2‹BfYovqc~jsahÚ®¹%ڮ ¢Fo>fc{fjicdfovqcijda2h{Ú&Û&ݒ>ìvmoprln|eg‹Bf2hiq4prf2h{tfeŠÃuve?jdf2h{Ú%¹®Ú®Â#¢
ÚÛ&Ýãqh~jdat_p}akcdfYy?vq4pnf?h{‹Bf?hocilrmqcdf2h\jsakmgln|e*prf$hiqcsžke¾wB¢?aYy2vgqÚ®¹®Ú%Â&¹%Ú®Â4§&Ú&Û&ÄE¢MÚÛ&Ý4Û&Ý%§&ÚÛ&ĒB¿Œepra
µ;‘vcsa4ïhiq{ovq0‹Bq{‰2qcKp}a4lrmopnqmqe?jda2t_lrŸe$‹BqjdfB‹ahKpra2hŒovqc~jsahbprŸ‘2lrtahŒaogakcijilrcK‹Bq%ovqcijda2hŒÚ&Û&Ýw2¢zqeYp}aµg‘2vcd
a pnf
ml}h~mf$o>qcdf$aogac~jdlnc®‹qovqc~jsah{Ú%¹®Ú®Âx’SÙqcdqtq4prao>qega$mzqegt_lrfe;akc{y?vqp}ahq0y?vln‰Šapnqegt_l}ahhiqfjilrqeqeaoprlrtakeg‹Bf
p}a*­¾q¢‹BqÙf2ci‘?ake¾’ìfeprŸ‘2lrtaFÚÛ&Ý akoprl}takmf?h%Ùf2ci‘?akeÁga2hujsa$f2Bjiqeqc%ji|cimlref2h%qe'h~vmYa2h%tfmoprqmqe?jda2‹Bf2hwSqh
æ !’ìf2eMprŸ‘2lrtaxÚ%¹®Ú®Â#vghdtamzf?h\ji|cimlref2hqeMocdfB‹Bvgt_jif2htfmoprqmqe?jsa‹Bf?hwˆqh®‹Bqtln#
c äå æ !
‹qt_lrc ä é±"
¿¾Ãuqmoprfgàb¿bÅBocdqhdakcp}axŽvegt_lrŸeá´âêäå æ=é ç#qepnŸ2‘l}tazÚ®¹%ڮ ¢FqepnŸ2‘l}tazÚ&Û&Ý{Âx’
¶’ëvgegt_lrŸeq_ÅBocdqhda‹gat_f2mfÚ%¹®Ú%Âà
á´â äå æEé²çãâ äå æEé²çãâ
äå æ"!_å$ ç%!
äå æ!_å$ ç#!Kâ ä
ä
ßB’ëvgegt_lrŸeq_ÅBocdqhda‹gat_f2mfÚÛ&Ý4à
á´â äå æEé²çãâ äå æEé²çãâ
ß
é æ"!_å çãâ
é æ!¤é çEâ
äÀé "
æ !¤é²ç
SIMBOLO
AND
OR
A
B
A
B
FUNCION
F
F
F = A.B
F = B+A
TABLA
A
0
0
1
1
B
0
1
0
1
F
0
0
0
1
A
0
0
1
1
B
0
1
0
1
F
0
1
1
1
DATOS DE INTERES
A1
&
F=A1.A2. ... .An
O
F=A1+A2+ ... +An
An
A1
An
A F
NOT
NAND
A
A
F=A
F
F
F = A.B = A + B
B
NOR
XOR
A
B
A
F
F
B
F = A+B = A.B
F=A+B=
A.B + A.B
OR EXCLUSIVA
0 1
1 0
A
0
0
1
1
B
0
1
0
1
F
1
1
1
0
A
0
0
1
1
B
0
1
0
1
F
1
0
0
0
A
0
0
1
1
B
0
1
0
1
F
0
1
1
0
A
0
0
1
1
B
0
1
0
1
F
1
0
0
1
A
F
B
A
F
B
A
B
A
B
F
F
A
F
B
A
F=A+B=
NXOR
A
B
NOR EXCLUSIVA
F
= AB+AB =
=(A+B)(A+B)=
= A.B + B.A
F
B
ë,ln‘2vcdqØgàb`Œvqc~jsahprŸ‘l}ta2h
Ø
SIMBOLO
NOR
A
B
F
Circuito Equivalente con puertas NOR
FUNCION
F = A+B = A.B
A
0
0
1
1
F=A+A=A
A
B
0
1
0
1
F
1
0
0
0
A
B
F
A
NOT
A
AND
A
B
F
OR
A
B
F
NAND
A
B
F
F
F
0
A
F
F= A.B = A.B = A + B
B
A
B
F= A+B = A+B = A+B
F
A
F
F
F= A.B = A.B = A + B
B
A
A
XOR
F
F
B
B
OR EXCLUSIVA
F= A+B = A.B+A.B = A.B+A.B =(A.B).(A.B)=(A+B).(A+B)=(A+B)+(A+B)
A
NXOR
A
B
F
F
B
NOR EXCLUSIVA
F= A+B = A.B+A.B = A.B+A.B =(A.B).(A.B)=(A+B).(A+B)=(A+B)+(A+B)
!#"$%!#&'!()*&+,
.-0/21
SIMBOLO
NAND A
F
B
NOT
A
AND
A
B
OR
A
B
NOR
A
B
A
XOR
F
F
Circuito Equivalente con puertas NAND
FUNCION
F = A.B = A + B
A
0
0
1
1
F=A.A=A
A
B
0
1
0
1
F
1
1
1
0
A
F
B
F
A
A
F= A.B = A.B
F
1
F
B
A
F
F
F= A+B = A+B = A.B
B
A
F
F
F= A+B = A+B = A.B
B
A
F
F
B
B
OR EXCLUSIVA
F= A+B = A.B+A.B = A.B+A.B =(A.B).(A.B)
A
NXOR
A
B
F
F
B
NOR EXCLUSIVA
F= A+B = A.B+A.B = A.B+A.B =(A.B).(A.B)
ëVlr‘vgciq#BàKÛ%BjdqegtlnŸ2e‹Bqpra2hovqcijda2hpnŸ2‘l}ta2hmq0‹Blrae?jiq4Ú®¹%Ú®Âx’
Descargar