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)
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)
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)
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)
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)

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Taller de conversiones B/D, D/B

  • 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)