This document provides a tutorial on converting between decimal and binary numbers. It gives 10 examples of converting binary numbers to decimal using the place value method. It also gives 10 examples of converting decimal numbers to binary by repeatedly dividing by 2 and recording the remainders. The document is intended for a 10th grade technical systems class in September 2014.

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)