1. Ejercicio de conversiones de binario a decimal y decimal a binario
Alejandra Marín y Laura Guerrero
1.
10000
2.
110011(2)
3.
100010(2)
4.
1111111(2)
5.
1010101(2)
6.
4568(10)
7.
3200(10)
8.
587(10)
9.
8672(10)
(2)
10. 10000(10)
Solución
1. 14 03 02 01 00
0*20 + 0*21 + 0*22 + 0*23 + 1*24
0 + 0 + 0 + 0 + 16 = 16(10)
2. 15 14 03 02 11 10
1*20 + 1*21 + 0*22 + 0*23 + 1*24 + 1*25
1 + 2 + 0 + 0 + 16 + 32 = 51(10)
3. 15 04 03 02 11 00
0*20 + 1*21 + 0*22 + 0*23 + 0*24 + 1*25
0 + 2 + 0 + 0 + 0 + 32 = 34(10)

2. 4. 16 15 14 13 12 11 10
1*20 + 1*21 + 1*22 + 1*23 + 1*24 + 1*25 + 1*26
1 + 2 + 4 + 8 + 16 + 32 + 64 = 127(10)
5. 16 05 14 03 12 01 10
1*20 + 0*21 + 1*22 + 0*23 + 1*24 + 0*25 + 1*26
1 + 0 + 4 + 0 + 16 + 0 + 64 = 85(10)
6. 4568(10)
2284 2 0
1142 2 0
571
2 1
285 2 1
142
2 0
71
2 1
35
2 1
17
2 1
8
2 0
4
2 0
2
2 0
1
2 1
0
R/= 100011101100(2)
7. 3200(10)
1600 2
0

3. 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/ 11001000000(2)
8.
587(10)
293 2 1
146
2 0
73
2 1
36
2 0
18
2 0
9
2 1
4
2 0
2
2 0
1
2 1
0
R/ 100100101(2)
9. 8672(10)
4336 2
2168 2
1084 2
0
0
0

4. 542 2 0
271
2 1
135
2 1
67
2 1
33
2 1
16
2 0
8
2 0
4
2 0
2
2 0
1
2 1
0
R/= 1000011110000(2)
10. 10000(10)
5000 2 0
2500 2 0
1250 2 0
625 2 1
312
2 0
156
2 0
78
2 0
39
2 1
19
2 1
9
2 1
4
2 0
2
2 0
1
2 1
0
R/= 1001110001000(2)