Taller de conversiones

1. TALLER DE CONVERSIONES
DECIMAL A BINARIO Y BINARIO A DECIMAL
M. TÉCNICA EN SISTEMAS GRADO 10
SEPTIEMBRE DE 2014
INTEGRANTES:
Nombres y apellidos Daniela González Cifuentes
Nombres y apellidos Sebastián Escudero Agudelo
1. CONVIERTA LOS SIGUIENTES NÚMEROS BINARIOS A DECIMAL. DEBE REALIZAR
TODO EL PROCEDIMIENTO.
No.
NÚMERO
BINARIO
RESPUESTA EN DECIMAL (PROCEMIENTO)
1 10001112
= 1*20 + 1*21 + 1*22 + 0*23 + 0*24 +0*25 +1*26 =
1 + 2 + 4 + 0 + 0 + 0 + 64 = 71(10)
2 10000002
= 0*20 + 0*21 + 0*22 + 0*23 + 0*24 +0*25 +1*26 =
0 + 0 + 0 + 0 + 0 + 0 + 64 = 64(10)
3 11111112
= 1*20 + 1*21 + 1*22 + 1*23 + 1*24 +1*25 +1*26 =
1 + 2 + 4 + 8 + 16 + 32 + 64 = 127(10)
4 101010102
= 0*20 + 1*21 + 0*22 + 1*23 + 0*24 +1*25 +0*26 +1*27=
0 + 2 + 0 + 8 + 0 + 32 + 0 + 128 = 170(10)

2. 5 110101012
= 1*20 + 0*21 + 1*22 + 0*23 + 1*24 +0*25 +1*26 +1*27=
1 + 0 + 4 + 0 + 16 + 0 + 64 + 128 = 213(10)
6 10001112
= 1*20 + 1*21 + 1*22 + 0*23 + 0*24 +0*25 +1*26 =
1 + 2 + 4 + 0 + 0 + 0 + 64 = 71(10)
7 111111102
= 0*20 + 1*21 + 1*22 + 1*23 + 1*24 +1*25 +1*26 +1*27=
0 + 2 + 4 + 8 + 16 + 32 + 64 + 128 = 254(10)
8 1110000112
= 1*20 + 1*21 + 0*22 + 0*23 + 0*24 +0*25 +1*26 +1*27+ 1*28=
1 + 2 + 0 + 0 + 0 + 0 + 64 + 128 + 256 =
451(10)
9 101110002
= 0*20 + 0*21 + 0*22 + 1*23 + 1*24 +1*25 +0*26 +1*27=
0 + 0 + 0 + 8 + 16 + 32 + 0 + 128 =184(10)
10 1100011102
= 0*20 + 1*21 + 1*22 + 1*23 + 0*24 +0*25 +0*26 +1*27 + 1*28=
0 + 2 + 4 + 8 + 0 + 0 + 0 + 128 + 256 =
398(10)

3. 2. CONVIERTA LOS SIGUIENTES NÚMEROS DECIMALES A BINARIO. DEBE
REALIZAR TODO EL PROCEDIMIENTO.
No.
NÚMERO
DECIMAL
RESPUESTA EN BINARIO (PROCEMIENTO)
1 15.60010 11110011110000(2)
2 10.80010 10101000110000(2)
3 11.79110 10111000001111(2)
4 5.35910 1010011101111(2)
5 4.82510 1001011011001(2)
6 3.00010 101110111000(2)
7 2.00010 11111010000(2)
8 1.56010 11000011000(2)
9 80010 1100100000(2)
10 32910 101001001(2)
PROCEDIMIENTO
1. 15.600 2 = 0
7.800 2 = 0
3.900 2 = 0
1.950 2 = 0
975 2 = 1
487 2 = 1
243 2 = 1
121 2 = 1
60 2 = 0
30 2 = 0
15 2 = 1
7 2 = 1
3 2 = 1
1 2 = 1
0
R/= 11110011110000(2)
2. 10.800 2 = 0
5.400 2 = 0
2.700 2 = 0
1.350 2 = 0
675 2 = 1
337 2 = 1
168 2 = 0
84 2 = 0
42 2 = 0
21 2 = 1
10 2 = 0
5 2 = 1
2 2 = 0
1 2 = 1
0
R/= 10101000110000(2)

4. 3. 11.791 2 = 1
5.895 2 = 1
2.947 2 = 1
1.473 2 = 1
736 2 = 0
368 2 = 0
184 2 = 0
92 2 = 0
46 2 = 0
23 2 = 1
11 2 = 1
5 2 = 1
2 2 = 0
1 2 = 1
0
R/= 10111000001111(2)
4. 5.359 2 = 1
2.679 2 = 1
1.339 2 = 1
669 2 = 1
334 2 = 0
167 2 = 1
83 2 = 1
41 2 = 1
20 2 = 0
10 2 = 0
5 2 = 1
2 2 = 0
1 2 = 1
0
R/= 1010011101111(2)
5. 4.825 2 = 1
2.412 2 = 0
1.206 2 = 0
603 2 = 1
301 2 = 1
150 2 = 0
75 2 = 1
37 2 = 1
18 2 = 0
9 2 = 1
4 2 = 0
2 2 = 0
1 2 = 1
0
R/= 1001011011001(2)
6. 3.000 2 = 0
1.500 2 = 0
750 2 = 0
375 2 = 1
187 2 = 1
93 2 = 1
46 2 = 0
23 2 = 1
11 2 = 1
5 2 = 1
2 2 = 0
1 2 = 1
0
R/= 101110111000(2)

5. 7. 2.000 2 = 0
1.000 2 = 0
500 2 = 0
250 2 = 0
125 2 = 1
62 2 = 0
31 2 = 1
15 2 = 1
7 2 = 1
3 2 = 1
1 2 = 1
0
R/= 11111010000(2)
8. 1.560 2 =0
780 2 =0
390 2 =0
195 2 =1
97 2 =1
48 2 =0
24 2 =0
12 2 =0
6 2 = 0
3 2 = 1
1 2 = 1
0
R/= 11000011000(2)
9. 800 2 = 0
400 2 = 0
200 2 = 0
100 2 = 0
50 2 = 0
25 2 = 1
12 2 = 0
6 2 = 0
3 2 = 1
1 2 = 1
0
R/= 1100100000(2)
10. 329 2 = 1
164 2 = 0
82 2 = 0
41 2 = 1
20 2 = 0
10 2 = 0
5 2 = 1
2 2 = 0
1 2 = 1
0
R/= 101001001(2)