This document provides examples for converting between binary and decimal number systems. It includes 10 problems for converting binary numbers to decimal using place value decomposition. It also includes 10 problems for converting decimal numbers to binary by repeatedly dividing the number by 2 and writing the remainders as binary digits.

1. TALLER DE CONVERSIONES
DECIMAL A BINARIO Y BINARIO A DECIMAL
M. TÉCNICA EN SISTEMAS GRADO 10
SEPTIEMBRE DE 2014
INTEGRANTES:
Nombres y apellidos Yeison Arley Agudelo Mejia
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 1x26 + 0x25 + 0x24 + 0x23 + 1x22 + 1x21 +1x20 = 64+0+0+0+4+2+1 = 7110
2 10000002 1x26 + 0x25 + 0x24 + 0x23 + 0x22 + 0x21 + 0x20 = 64+0+0+0+0+0+0 = 6410
3 11111112 1x26 + 1x25 + 1x24 + 1x23 + 1x22 + 1x21 + 1x20 = 64+32+16+8+4+2+1 = 12710
4 101010102 1x27 + 0x26 + 1x25 + 0x24 + 1x23 + 0x22 + 1x21 + 0x20 = 128+0+32+0+8+0+2+0 = 17010
5 110101012 1x27 + 1x26 + 0x25 + 1x24 + 0x23 + 1x22 + 0x21 + 1x20 =128+64+0+16+0+4+0+1= 21310
6 10001112 1x26 + 0x25 + 0x24 + 0x23 + 1x22 + 1x21 +1x20 = 64+0+0+0+4+2+1 = 7110
7 111111102
1x27 + 1x26 + 1x25 + 1x24 + 1x23 + 1x22 + 1x21 + 0x20 = 128+64+32+16+8+4+2+0 =
25410
8 1110000112
1x28 + 1x27 + 1x26 + 0x25 + 0x24 + 0x23 + 0x22 + 1x21 + 1x20 =
256+128+64+0+0+0+0+2+1 = 45110
9 101110002 1x27 + 0x26 + 1x25 + 1x24 + 1x23 + 0x22 + 0x21 + 0x20= 128+0+32+16+8+0+0+0= 18410
10 1100011102
1x28 + 1x27 + 0x26 + 0x25 + 0x24 + 1x23 + 1x22 + 1x21 + 0x20 =
256+128+0+0+0+8+4+2+0 = 39810

2. 2. CONVIERTA LOS SIGUIENTES NÚMEROS DECIMALES A BINARIO. DEBE REALIZAR TODO EL PROCEDIMIENTO.
No. NÚMERO DECIMAL RESPUESTA EN BINARIO (PROCEMIENTO)
1 15.60010
15600 2 = 0 15600 = 111100111100002
7800 2 = 0
3900 2 = 0
1950 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
2 10.80010
10800 2 = 0 10.800 = 101010001100002
5400 2 = 0
2700 2 = 0
1350 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

3. 3 11.79110
11791 2 = 1 11.791 = 10111000001111
5895 2 = 1
2947 2 = 1
1473 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
4 5.35910
5359 2 = 1 5.359 = 1010011101111
2679 2 = 1
1339 2 = 1
699 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
5 4.82510
4825 2 = 1 4825 = 1001011011001
2412 2 = 0
1206 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

4. 6 3.00010
3000 2 = 0 3000= 101110111000
1500 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
7 2.00010
2000 2 = 0 2000 = 11111010000
1000 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
8 1.56010
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

5. 9 80010
800 2 = 0 800 = 1100100000
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
10 32910
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