Conversion Sistemas

7/17/2019 Conversion Sistemas

http://slidepdf.com/reader/full/conversion-sistemas 1/13

Binario2 a Octal8

1. 1101110002= (110) (111) (000)= 6708

6 7 08

2. 10001010.011102= (010) (001) (010).(001) (110)= 212.168

2 1 2 . 1 68

3. 1110011100112= (111) (001) (110) (011)= 71638

7 1 6 38

4. 1001.111112= (001) (001).(011) (111)= 11378 1 1 . 3 78

5. 11011101110110112= (001)(101) (110) (111) (011) (011) =1567338

1 5 6 7 3 38

6.- 110111011 = (110) (111) (011) = 6738

7.- 11101011 = (011) (101) (011) = 3538

8.- 10101010101 = (010) (101) (010) (101) = 25258

9.- 1100110011 = (001) (100) (110) (011) = 14638

10.- 101101001011 = (101) (101) (001) (011) = 55138

11.- 11.- 0111002 = 348

12.- 1111110012 = 7718

13.- 1010001110102 = 50728

14.- 1010101012 = 5258

15.- 1000012 = 418

16) )001)(010(100012 = 821=

17) )011)(100(1000112 = 843=

18) )010)(111(111010 2 = 872=

19) )011)(010)(001(10100112 = 8123=

20) )111)(100(1001112 = 847=

DR. CÉSAR TORRES MARTÍNEZ ELECTRÓNICA Pág. 1/13



Binario2 a Decimal10

1. 1010012 = (1X2

5

)+(0X2

4

)+(1X2

3

)+(0X2

2

)+(0X2

1

)+(1X2

0

) = 32+0+8+0+0+1

= 4110

2. 111012 = 1X24+1X23+1X22+0X21+1X20

= 16+8+4+0+1

= 2910

3. 100111012 = 1X27+0X26+0X25+1X24+1X23+1X22+0X21+1X20

= 128+0+0+16+8+4+0+1

= 15710

4. 100012 = 1X24+0X23+0X22+0X21+1X20

= 16+0+0+0+1 = 1710

5.- 100101010112 = 1X210+0X29+0X281X27+0X26+1X25+0X24+1X23+0X22+1X21+1X20

= 1024+0+0+128+0+32+0+8+0+2+1

= 119510

6.- 1101011001 = 1*29+1*28+0*27+1*26+0*25+1*24+1*23+0*22+0*21+1*20

= 512+256+64+16+8+1 =85710

7.- 0101001100 = 0*29+1*28+0*27+1*26+0*25+0*24+1*23+1*22+0*21+0*20

= 256+64+8+4 = 33210

8.- 1010110010 = 1*29+0*28+1*27+0*26+1*25+1*24+0*23+0*22+1*21+0*20

= 512+128+32+16+2 = 69010

9.- 1010000011 = 1*29+0*28+1*27+0*26+0*25+0*24+0*23+0*22+1*21+1*20 = 512+128+2+1 = 69310

10.- 1100001111 = 1*29+1*28+0*27+0*26+0*25+0*24+1*23+1*22+1*21+1*20

= 512+256+8+4+2+1 = 78310

11.- 10000012 = 1*27+0*26 +0*25 +0*24 +0*23 +0*22 +0*21 +1*20

=128+0+0+0+0+0+0+1= 129

12.- 101012 = 1*24+0*23+1*22+0*21+1*20

=16+0+4+0+1= 21

13.- 10001102 = 1*26+0*25+0*24+0*23+1*22+1*21+0*20




=64+0+0+0+4+2+0= 70

14.- 10100112 = 1*26+0*25+1*24+0*23+0*22+1*21+1*20

=64+0+16+0+0+2+1= 83

15.- 10101012 = 1*26+0*25+1*24+0*23+1*22+0*21+1*20

= 64+0+16+0+4+0+1=85

16.- 1101 = 1*23+1*2

2+0*2

1+1*2

0

= 8 +4 +1 = 1310

17.- 101010 = 1*25+0*24+1*23+0*22+1*21+0*20 = 32+8+2 = 4210

18.- 10101 = 1*24+0*23+1*22+0*21+1*20 = 16+4+1 =2110

19.- 11111101 = 1*27+1*26+1*25+1*24+1*23+1*22+0*21+1*20

= 128+64+32+16+8+4+1 = 25310

20.- 1010110 = 1*26+0*25+1*24+0*23+1*22+1*21+0*20 = 64+16+4+2 = 8610

21.- 1112 = 1*22+1*21+1*20 = 4+2+1 = 710

22.- 100012 = 1*24+0*23+0*22+0*21+1*20 =16+0+0+0+1 = 1710

23.- 111002 = 1*24+1*23+1*22+0*21+0*20 =16+8+4 = 2810

24.- 00012 = 0*23+0*22+0*21+1*20 = 0+0+0+1 = 110

25.- 1100001112 = 1*28+1*27+0*26+0*25+0*24+0*23+1*22+1*21+1*20

= 256+128+0+0+0+0+4+2+1 = 39110

26.-0123456

2 202021212120211011100 ×+×+×+×+×+×+×=

004816064 ++++++=

1092=

27.-01234

2 212120202110011 ×+×+×+×+×=

120016 ++++=

1019=

28.-0123

2 212121211111 ×+×+×+×=

1248 +++=

1015=

29.-012345

2 212020202121110001 ×+×+×+×+×+×=

10001632 +++++=

1049=

30.-01234

2 202021202110100 ×+×+×+×+×=

004016 ++++= 1020=




31.- 101111012 = (1 . 27) + (0 . 26) + (1 . 25) + (1 . 24) + (1 . 23) + (1 . 22) + (0 . 21) + (1 . 20)

= (128) + (0) + (32) + (16) + (8) + (4) + (0) + (1)

= 18910

32.- 111001002 = (1 . 27

) + (1 . 26

) + (1 . 25

) + (0 . 24

) + (0 . 23

) + (1 . 22

) + (0 . 21

) + (0 . 20

)

= (128) + (0) + (32) + (16) + (8) + (4) + (0) + (1)

= 22810

33.- 011011012 = (0 . 27) + (1 . 26) + (1 . 25) + (0 . 24) + (1. 23) + (1 . 22) + (0 . 21) + (1 . 20)

= (128) + (0) + (32) + (16) + (8) + (4) + (0) + (1)

= 10910

34.- 100100102 = (1 . 27) + (0 . 26) + (0 . 25) + (1 . 24) + (0. 23) + (0 . 22) + (1. 21) + (0 . 20)

= (128) + (0) + (32) + (16) + (8) + (4) + (0) + (1)

= 10910

35.- 111100002 = (1 . 27) + (1 . 26) + (1 . 25) + (1 . 24) + (0. 23) + (0 . 22) + (0. 21) + (0 . 20)

= (128) + (0) + (32) + (16) + (8) + (4) + (0) + (1)

= 21010

Binario2 a Hexadecimal16

1100 0111 0000 1100 1010 1110 C 7 0 C !

1011 0001 1111 0010 1001 0101

B 1 " 2 9 5

0100 1000 0110

4 8 6

Octal8 a Binario2

1. 11538 = (001) (001) (101) (011) = 0010011010112




2. 674348 = (110) (111) (100) (011) (100) = 1101111000111002

3. 201538 = (010) (000) (001) (101) (011) = 100000011010112

4. 7254638 = (111) (010) (101) (100) (110) (011) = 1110101011001100112

5. 532108 = (101) (011) (010) (001) (000) = 1010110100010002

6.- 13578 = (001) (011) (101) (111) = 10111011112

7.- 2468 = (010) (100) (110) = 101001102

8.- 5738 = (101) (111) (011) = 1011110112

9.- 3218 = (011) (010) (001) = 110100012

10.- 6578 = (110) (101) (111) = 1101011112

11.- 23678 = 100111101112

12.- 125648 = 10101011101002

13.- 36548 = 1111001011002

14.- 756328 = 1111011100110102

15.- 61028 = 1100010000102

16.- )101)(001(158 = 21101=

17.- )001)(001(118 =

21001=

18.- )101)(010(258 =210101=

19.- )011)(100(438 = 2100011=

20.- )111)(110(678 =2

110111=




Decimal10 a Binario2

1.- 80010= 1100100002

800 2 400 0

400 2 200 0100 2 50 0

50 2 25 0

25 2 12 1

12 2 6 0

6 2 3 0

3 2 1 1

2.- 15310= 1110012

153 2 76 1

76 2 38 0

38 2 14 0

7 2 3 1

3 2 1 1

3.- 125810= 100111010102

1258 2 629 0

629 2 314 1

314 2 157 0

157 2 78 1

78 2 39 0

39 2 19 1

19 2 9 1




9 2 4 1

4 2 2 0

2 2 1 0

4.- 8237110= 111000001110000112

82371 2 41185 1

41185 2 20592 1

20592 2 102960

10296 2 5148 0

5148 2 2574 0

2574 2 1287 0

1287 2 643 1

643 2 321 1

321 2 160 1

160 2 80 0

80 2 40 0

40 2 20 0

20 2 10 0

10 2 5 0

5 2 2 1

2 2 1 1

5.- 25810= 1100000102

258 2 129 0

129 2 64 1

64 2 32 0

32 2 16 0

16 2 8 0

8 2 4 0

4 2 2 0

2 2 1 1

6.- 210 )111010110()246( =

DECIMAL BASE COCIENE !ESA

246

123

6130

15

73

2

2

22

2

22

123

61

3015

7

31

0

1

10

1

11

7.- 210 )01010100011()1350( =


1350

675

337168

84

2

2

22

2

675

337

16884

42

0

1

10

0




4221

10

5

2

22

2

2

2

2110

5

2

1

01

0

1

0

8.- 210 )0111000100010()4371( =


43712185

1092

546273

136

6834

17

84

2

22

2

22

2

22

2

22

2

21851092

546

273136

68

3417

8

42

1

11

0

01

0

00

1

00

0

9.- 210 )1011001110()1230( =


1230615307

153

76

3819

9

2

222

2

2

22

2

2

615307153

76

38

199

4

1

011

1

0

01

1

0

10.- 210 )1101100000()864( =


864

432

216108

2

2

22

432

216

10843

0

0

00




5427

13

6

3

22

2

2

2

2713

6

3

1

01

1

0

1

11.- 32410 = 1010001002

324 2 162 0

162 2 81 0

81 2 40 1

40 2 20 0

20 2 10 0

10 2 5 0

5 2 2 1

2 2 1 0

12.- 19710 = 110001012

197 2 98 1

98 2 49 0

49 2 24 1

24 2 12 0

12 2 6 0

6 2 3 0

3 2 1 1

13.- 23210 = 111010002

232 2 116 0

116 2 58 0

58 2 29 0

29 2 14 1

14 2 7 0

7 2 3 1

3 2 1 1

14.- 13810 = 100010102

138 2 69 0

69 2 34 1

34 2 17 0

17 2 8 1

8 2 4 0




4 2 2 0

2 2 1 0

15.- 7210 = 10010002

72 2 36 036 2 18 0

18 2 9 0

9 2 4 1

4 2 2 0

2 2 1 0

16) NO. DECIMAL BASE COCIENE !ESO 1610 = 100002

16 2 8 0 8 2 4 0

4 2 2 0 2 2 1 0


22 2 11 0

11 2 5 1 5 2 2 1

2 2 1 0


101 2 50 1

50 2 25 0 25 2 12 1

12 2 6 0

6 2 3 0

3 2 1 1


584 2 292 0 292 2 146 0

146 2 73 0

73 2 36 1

36 2 18 0 18 2 9 0

9 2 4 1

4 2 2 0 2 2 1 0


2184 2 1092 0 1092 2 546 0




546 2 273 0

273 2 136 1

136 2 68 0 68 2 34 0

34 2 17 0

17 2 8 1 8 2 4 0

4 2 2 0

2 2 1 0

21)

210 1011022 =

22)

210 11101058 =

23)

210 101011086 =

24)

210 100111078 =

25)

210 110113 =

a) 523 = 100001011

523

261 1

130 1

65 0

32 1

16 0

8 0

4 0

2 0

1

b) 75 = 1001011


N DECIMAL BASE COCIENTE RESTO

22 2 11 0

11 2 5 1

5 2 2 1

2 2 1 0


58 2 29 0

29 2 14 1

14 2 7 0

7 2 3 1

3 2 1 1N DECIMAL BASE COCIENTE RESTO

86 2 43 0

43 2 21 1

21 2 10 1

10 2 5 0

5 2 2 1

2 2 1 0


78 2 39 0

39 2 19 1

19 2 9 1

9 2 4 1

4 2 2 0

2 2 1 0


13 2 6 1

6 2 3 0

3 2 1 1



75

37 1

18 1

9 0

4 1

2 0

1 01

c) 1520 = 10111110000

1520

760 0

380 0

190 0

95 0

47 1

23 111 1

5 1

2 1

1 0

1

c) 16 = 10000

16

8 0

4 0

2 0

1 0

1

d) 135 = 10000111

135

67 1

33 1

16 18 0

4 0

2 0

1 0

1




Decimal10 a Octal8

Número N N ÷ 8 Parte decimal Parte decimal x 8 Peso

465 58,125 0,125 1 LSB

58 7,25 0,25 2

7 0,875 0,875 7 MSB


126 15.75 .75 6 LSB

15 1.875 .875 7

1 0.125 .125 1 MSB


400 50 0 0 LSB

50 6.25 0,25 2

6 0.75 0.75 6 MSB

Hexadecimal16 a decimal10

12116 = 1 x 162 + 2 x 16

1 + 1 x 16

0

1 x 256 + 2 x 16 + 1 x 1

256 + 32 + 1

28910

A1C16 = A x 162 + 1 x 16

1 + C x 16

0

10 x 256 + 1 x 16 + 12 x 1

2560 + 16 + 12

258810


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Conversion Sistemas