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)

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)

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)

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)

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)

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. 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)

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)