This document provides examples of converting numbers between binary and decimal number systems. It gives 10 binary numbers converted to decimal, showing the process, and 10 decimal numbers converted to binary, also showing the process step-by-step using place values. The goal is to practice different number base conversions as part of a technical systems class.

1. TALLER DE CONVERSIONES
DECIMAL A BINARIO Y BINARIO A DECIMAL
M. TÉCNICA EN SISTEMAS GRADO 10
SEPTIEMBRE DE 2014
INTEGRANTES:
Nombres y apellidos Jhonatan avila figueredo
Nombres y apellidos Daniela pacheco diaz
1. CONVIERTA LOS SIGUIENTES NÚMEROS BINARIOS A DECIMAL. DEBE REALIZAR TODO EL PROCEDIMIENTO.
No. NÚMERO BINARIO RESPUESTA EN DECIMAL (PROCEMIENTO)
1 10001112
1*1+1*2+1*4+0*8+0*16+0*32+1*64=
1+2+4+64= 7110
2 10000002
0*1+0*2+0*4+0*8+0*16+0*32+1*64=
64=6410
3 11111112
1*1+1*2+1*4+1*8+1*16+1*32+1*64=
1+2+4+8+16+32+64= 12710
4 101010102
0*1+1*2+0*4+1*8+0*16+1*32+0*64+1*128=
2+8+32+12810
5 110101012
1*1+0*2+1*4+0*8+1*16+0*64+1*32+1*64=
1+4+16+32+64= 11710
6 10001112
1*1+1*2+1*4+0*8+0*16+0*32+1*64=
1+2+4+64= 7110
7 111111102
0*1+1*2+1*4+1*8+1*16+1*32+1*64+1*128=
2+4+8+16+32+64+128=25410
8 1110000112
1*1+1*2+0*4+0*8+0*16+0*32+1*64+1*128+1*256=
1+2+64+128+256=45110
9 101110002
0*1+0*2+0*4+1*8+1*16+1*32+0*64+1*128=
8+16+32+128= 18410
10 1100011102
0*1+1*2+1*4+0*8+0*16+0*32+1*128+1*256=
2+4+128+256=39010

2. 2. CONVIERTA LOS SIGUIENTES NÚMEROS DECIMALES A BINARIO. DEBE REALIZAR TODO EL PROCEDIMIENTO.
No. NÚMERO DECIMAL RESPUESTA EN BINARIO (PROCEMIENTO)
1 15.60010
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
111100111100002
2 10.80010
10800 2 = 0
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
101010001100002

3. 3 11.79110
11791 2 = 1
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
101110000011112
4 5.35910
5159 2 = 1
2579 2 = 1
1289 2 = 1
644 2 = 0
322 2 = 0
161 2 = 1
80 2 = 0
40 2 = 0
20 2 = 0
10 2 = 0
5 2 = 1
2 2 = 0
1 2 = 1
0
10100001001112
5 4.82510
4825 2 = 1
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
10010110110012

4. 6 3.00010
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
1011101110002
7 2.00010
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
111110100002
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
110000110002

5. 9 80010
800 2 = 0
400 2 = 0
200 2 = 0
100 2 = 0
50 2 = 0
25 2 = 1
6 2 = 0
3 2 = 1
1 2 = 1
0
11001000002
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
10100100110