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 Aidaly Juliana Becerra
Nombres y apellidos
1. CONVIERTA LOS SIGUIENTES NÚMEROS BINARIOS A DECIMAL. DEBE REALIZAR TODO EL PROCEDIMIENTO.
No. NÚMERO BINARIO RESPUESTA EN DECIMAL (PROCEMIENTO)
1 10001112 71 (10)
2 10000002 64 (10)
3 11111112 127 (10)
4 101010102 170 (10)
5 110101012 213 (10)
6 10001112 71 (10)
7 111111102 254 (10)
8 1110000112 451 (10)
9 101110002 184 (10)
10 1100011102 398 (10)
1) 16 05 04 03 12 11 10 (2) a Decimal
1 * 20 + 1 * 21 + 1 * 22 + 0 * 23 + 0 * 24 + 0 * 25 + 1 * 26
1 + 2 + 4 + 0 + 0 + 0 + 64 = 71 (10)
2) 16 05 04 03 02 01 00 (2) a Decimal
0 * 20 + 0 * 21 + 0 * 22 + 0 * 23 + 0 * 24 + 0 * 25 + 1 * 26
0 + 0 + 0 + 0 + 0 + 0 + 64 = 64 (10)

2. 3) 16 15 14 13 12 11 10 (2) a Decimal
1 * 20 + 1 * 21 + 1 * 22 + 1 * 23 + 1 * 24 + 1 * 25 + 1 * 26
1 + 2 + 4 + 8 + 16 + 32 + 64 = 127 (10)
4) 17 06 15 04 13 02 11 00
(2) a Decimal
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) 17 16 05 14 03 12 01 10
(2) a Decimal
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) 16 05 04 03 12 11 10
(2) a Decimal
1 * 20 + 1 * 21 + 1 * 22 + 0 * 23 + 0 * 24 + 0 * 25 + 1 * 26
1 + 2 + 4 + 0 + 0 + 0 + 64 = 71 (10)
7) 17 16 15 14 13 12 11 00
(2) a Decimal
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) 18 17 16 05 04 03 02 11 10
(2) a Decimal
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)

3. 9) 17 06 15 14 13 02 01 00
(2) a Decimal
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) 18 17 06 05 04 13 12 11 00
(2) a Decimal
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)

4. 1. 15.600 (10 ) a Binario
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
= 11110011110000 (2)
2. 10.800 (10) a Binario
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
= 10101000110000 (2)

5. 3. 11.791 (10) a Binario
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
= 10111000001111 (2)
4. 5.359 (10) a Binario
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
= 1010011101111 (2)

6. 5. 4.825 (10) a Binario
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
= 1001011011001 (2)
6. 3.000 (10) a Binario
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
= 101110111000 (2)

7. 7. 2.000 (10) a Binario
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
= 11111010000 (2)
8. 1.560 (10) a Binario
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
= 11000011000 (2)

8. 9. 800 (10) a Binario
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
= 1100100000 (2)
10 . 329 (10) a Binario
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
= 101001001 (2)