TALLER DE CONVERSIONES

DECIMAL A BINARIO Y BINARIO A DECIMAL

M. TÉCNICA EN SISTEMAS GRADO 10

SEPTIEMBRE DE 2014

INTEGRANTES:

Nombres y apellidos Daniela González Cifuentes

Nombres y apellidos Sebastián Escudero Agudelo

1. CONVIERTA LOS SIGUIENTES NÚMEROS BINARIOS A DECIMAL. DEBE REALIZAR

TODO EL PROCEDIMIENTO.

No. NÚMERO

BINARIO RESPUESTA EN DECIMAL (PROCEMIENTO)

1 10001112

= 1*20 + 1*21 + 1*22 + 0*23 + 0*24 +0*25 +1*26 =

1 + 2 + 4 + 0 + 0 + 0 + 64 = 71(10)

2 10000002

= 0*20 + 0*21 + 0*22 + 0*23 + 0*24 +0*25 +1*26 =

0 + 0 + 0 + 0 + 0 + 0 + 64 = 64(10)

3 11111112

= 1*20 + 1*21 + 1*22 + 1*23 + 1*24 +1*25 +1*26 =

1 + 2 + 4 + 8 + 16 + 32 + 64 = 127(10)

4 101010102

= 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 110101012

= 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 10001112

= 1*20 + 1*21 + 1*22 + 0*23 + 0*24 +0*25 +1*26 =

1 + 2 + 4 + 0 + 0 + 0 + 64 = 71(10)

7 111111102

= 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 1110000112

= 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)

9 101110002

= 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 1100011102

= 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)

PROCEDIMIENTO

1. 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

R/= 11110011110000(2)

2. 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

R/= 10101000110000(2)

3. 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

R/= 10111000001111(2)

4. 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

R/= 1010011101111(2)

5. 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

R/= 1001011011001(2)

6. 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

R/= 101110111000(2)

7. 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

R/= 11111010000(2)

8. 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(2)

9. 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/= 1100100000(2)

10. 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(2)