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UNIVERSIDAD NACIONAL ABIERTA Y A DISTANCIA
ELECTRÓNICA DIGITAL
GUÍA TRABAJO COLABORATIVO – UNIDAD 1
DIEGO FERNANDO GUTIERREZ COD.1.070.007.224
GERMÁN DAVID DEVIA VALDERRAMA COD.1.019.032.40
GRU!O 2
BOGOTA – 2016
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CONTENIDO
Contenido Pagina
!"#$% 1 3& 4&
!"#$% 2 & '& 7
!"#$% 2( 7
!"#$% 3 7& )
!"#$% 4 9
C%#*+",-%#, 10
R/#*-, 11
1. R+-* + *%#,-%#, (, 10 + (, -#-*
a !"6#62$0 a %e&ade'i(a)
D---%, 5% 1' + #6% #$% !"6 +"8% 5$- + #6% *-+ 62$0 +-%, + "+$-5+-**-:# 5% 1'.
!"6 16
0.7;1'476,6250=1 DC . A
* !"6#62$0 a *ina+io
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D---%, 5% 2 + #6% #$% 47' "+$-5+-*%, 5% 2 5$- + *-+ '20.
111011100
M"+$-5+-*%, 5% 2 5$- + *-+>
0.6250 x2
=1.25
=1
0.25 x2=0.5=0
0.5 X 2=1=1
E+ #6% # (-#-% ,>111011100.101
' 100#1$62$10 a %e&ade'i(a)
D---%, 5% 1' + #6% #$% 100 +"8% 5$- + #6% *-+ 1$62$10
+-%, + "+$-5+-**-:# 5% 1'.
100 16
0.2;1'< 4 '.2 40.37;1'< ' 0.37 '
0.1562510 x16=2.500016=2
0.500016 x16=8.000256=8
0.000256 x16=0 .004096=0
0.004096 x16=0.065536=0
0.065536 x16=1.048576=1
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0.048576 x16=0 .777216=0
0.777216 x16=12.435456=12C
0.435456 x16=6.967296=6
0.967296 x16=15.476736=15 F 0.476736 x16=7.627776=7
0.627776 x16=10.044416=10 A
E+ #6% =;*-+ ,>
100&1'210< '4.2)0010C'F7A
d 100#1$62$10 a *ina+io
D---%, 5% 2 + #6% #$% 100 "+$-5+-*%, 5% 2 5$- + *-+ 1$62$10
1100100
M"+$-5+-*%, 5% 2 5$- + *-+ 1$62$10
1562510 x 2=0.312502=0
0.312502 x 2=0 .625004=0
0.625004 x2=1.250008=1
0.250008 x2=0.500016=0
0.500016 x2=1.000032=1
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0.000032 x 2=0.000064=0
0.000128 x2=0.000256=0
0.000256 x2=0.000512
=0
0.000512 x 2=0 .001024=0
0.001024 x2=0.002048=0
E+ #6% # (-#-% ,>
1100100. 0010100000
2. D,%++ +, ,-8"-#$, ,", #6%, (-#-%,& -#-*#% *+#$ +%, *%,. L"8%*%5"( ," ,5",$ 5,#% +%, #6%, *-+. A *%#$-#"*-:# , ",$ "# ?5+%&$#8 # *"#$ @" 5 #$# + ?5+% ( =( ,$"-% + $%.
L $(+ ," #6%, (-#-%,>
++ *(% +, ,", # (-#-% ,", *%,5%#-#$, *%,& + ,5",$ ,$ ##6% *-+.
. 111000 110100
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(. 10101101 1110
*. 10001111 110110
. 101101100 1101110
2. C%#-$ +%, ,-8"-#$, #6%, *%5+#$% 2 *%# + #6% (-$, -#-*%,. E?5+%> ' # (-#-% *%# 4 (-$, , 0110 *%5+#$% 2 *%# *"$% (-$, ,
a ,- 'on ! *it.
) *%# 4 (-$, < 0111
C%5+#$% 2 < 0001
* 1/ 'on 6 *it.
13 *%# ' (-$, < 001101C%5+#$% 2 < 100101
' ,16 'on $ *it.
1' *%# (-$, < 01111
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C%5+#$% 2 < 00001
d ,21 'on 6 *it.
21 *%# ' (-$, < 101010
C%5+#$% 2 < 010101
3. U,#% 5, H#"8= #*"#$ + #- ;5,-:# !O !%"*$% ", + /"#*-:#F.
F ( A , B ,C ,D )=❑m(0,1,5,7,13,15)
T(+ +
A B C D ❑m(0,1,5,7,13,15)
0 0 0 0 0 11 0 0 0 1 12 0 0 1 0 0
3 0 0 1 1 04 0 1 0 0 05 0 1 0 1 16 0 1 1 0 07 0 1 1 1 18 1 0 0 0 09 1 0 0 1 010 1 0 1 0 011 1 0 1 1 012 1 1 0 0 013 1 1 0 1 114 1 1 1 0 015 1 1 1 1 1
Mapa de Karnaugh
CD\AB 00 01 11 10
00 1 0 0 0
01 1 1 1 0
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11 0 1 1 0
10 0 0 0 0
á b́ ć+bd
4. Usando mapas de Karnaugh encuentre la mínima expresin !"# $suma de productos%
de la &uncin '. Donde d( son condiciones no importa $don)t care%.
F ( A , B ,C ,D )=❑m (0,1,2 )+❑d (3,8,9,10,11,12)
Mapa de Karnaugh ❑m (0,1,2)
CD\AB 00 01 11 10
00 1 0 0 0
01 1 0 0 0
11 0 0 0 0
10 1 0 0 0
á´b ć+á
´b ´d
Mapa de Karnaugh ❑d(3,8,9,10,11,12)
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CD\AB 00 01 11 10
00 0 0 1 1
01 0 0 0 1
11 1 0 0 1
10 0 0 0 1
á b́ cd+a ć d́+a b́
Respuesta
á b́ cd+a ć d́+a b́
( á b́ ć+ á b́ d́ )+¿ %
CONCLUSIONES
E, *%#(+ %*"#$, ** +%, $, -,$%, *%# + /-# /*-+-$ + *%#/-8"*-:# +%, -,$-#$%, *-*"-$%, # IE 14.7.
E+ 5 H#"8= #%, " ,-5+-/-* /*-+#$ "# /"#*-:#.
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REERENCIAS
A*- C$8#99 M-. 201'. M5, H#"8=. E?*-*-% ?5+%. R*"5% + 29 F(% 201'& =$$5,>KK.%"$"(.*%K$*=