Ejercicios de Conversiones Numéricas PDF

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Ejercicios de conversiones en distintos sistemas numéricos (decimal, binario, octal, hexadecimal)....

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ENTREGABLE 1 EJERCICIOS DE CONVERSIONES MATERIA: MATEMÁTICAS COMPUTACIONALES

CARRERA: INGENIERÍA EN SOFTWARE

Hermosillo, Sonora

11 de Abril de 2020

EJERCICIOS DE CONVERSIONES NUMÉRICAS Realice las siguientes conversiones de base: • Conversiones de decimal a binario. (Ambos Metodos) 1.

2.

3.

34410 34410 256 128 8 7 34410 2 2 34410 1 0 34410 = 10101100 02

45510 455 / 2 227 / 2 113 / 2 56 / 2 28 / 2 14 / 2 7/2 3/2 1 45510

Resta 1 22 7 = 113 Resta 1 = 56 Resta 1 = 28 Resta 0 = 14 Resta 0 = 7 Resta 0 = 3 Resta 1 = 1 Resta 1 < 2 Resta 1 = 11100011 12

65310 653 / 2

=

326 / 2 163 / 2 81 / 2 40 / 2 20 / 2 10 / 2 5/2 2/2 1 65310

=

32 Resta 1 6 = 16 Resta 0 3 = 81 Resta 1 = 40 Resta 1 = 20 Resta 0 = 10 Resta 0 = 5 Resta 0 = 2 Resta 1 = 1 Resta 0 < 2 Resta 1 = 101000110 12

64 6 2 1

32 5 2 0

16 4 2 1

8 3 2 1

4 2 2 0

2 1 2 0

1 0 2 0

• Conversiones de binario a decimal 1.

2.

3.

000102 000102 000102 000102 000102 1000012 1000012 + (1 X 20 1000012 X 1) 1000012 1000012 1000012

= (0 X 24 ) + (0 X 23 ) + (0 X 22 ) + (1 X 21 ) + (0 X 20 ) = (0 X 16 ) + (0 X 8 ) + (0 X 4 ) + (1 X 2 ) + (0 X 1) =1X 2 = 210

= (1 X 25 ) + (0 X 24 ) + (0 X 23 ) + (0 X 22 ) + (0 X 21 ) ) = (1 X 32) + (0 X 16 ) + (0 X 8 ) + (0 X 4 ) + (0 X 2 ) + (1 = (1 X 32) + (1 X 1) = 32 + 1 = 3 310

110000012 110000012 ) + (0 X 22 110000012 110000012 110000012

= (1 X 27 ) + (1 X 26 ) + (0 X 25 ) + (0 X 24 ) + (0 X 23 ) + (0 X 21 ) + (1 X 20 ) = (1 X 128) + (1 X 64) + (1 X 1) = 128 + 64 + 1 = 19 310

• Conversiones de decimal a octal 1.

2.

36610 366 / 8 = 45 45 / 8 = 5 5 < 8 36610 = 55 68

Resta 6 Resta 5 Resta 5

456 10 456 / 8 = 57 57 / 8 = 7 7 < 8 456 10 = 71 08

Resta 0 Resta 1 Resta 7

• Conversiones de octal a decimal 1.

2.

258 258 = (2 X 81 ) + (5 X 80 ) 258 = (2 X 8 ) + (5 X 1 ) 258 = 16 + 5 258 = 2 110 10778 10778 = (1 X 83 ) + (0 X 82 ) + (7 X 81 ) + (7 X 80 ) 10778 = (1 X 512) + (7 X 8) + (7 X 1) 10778 = 512 + 56 + 7 10778 = 57 510

• Conversiones de decimal a hexadecimal 1.

2.

46010 460 / 16 = 28 28 / 16 = 1 1 < 16 46010 = 1 CC16 150710 1507 / 16 = 94 94 / 16 = 5 5 < 16 150710 = 5E 316

Resta 12 = C Resta 12 = C Resta 1

Resta 3 Resta 14 = E Resta 5

• Conversiones de hexadecimal a decimal 1.

A 33 F 16 A 33 F 16 = (10 X 163 ) + (3 X 162 ) + (3 X 161 ) + (15 X 160 ) A 33 F 16 = (10 X 4096) + (3 X 256) + (3 X 16) + (15 X 1) A 33 F 16 = 40960 + 768 + 48 + 15 A 33 F 16 = 4179110

2.

1 AA16 1 AA16 = (1 X 162 ) + (10 X 161 ) + (10 X 160 ) 1 AA16 = (1 X 256) + (10 X 16) + (10 X 1) 1 AA16 = 256 + 160 + 10 1 AA16 = 426 10...