digital system and binary numbers

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slide tentang sistem digital, lebih ke penjelasan tentang sistem bilangan khususnya biner beserta operasi aritmatika

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  • 1. Sistem Digital Nugroho Adi P nugnux@gmail.com Aravir@me.com Friday, August 22, 14

2. Friday, August 22, 14 3. One characteristic of digital systems is their ability to represent and manipulate discrete elements of information. Friday, August 22, 14 4. Discrete Information Huruf Kartu Power Ranger Kotak Papan Catur Jumlah Mahasiswa Friday, August 22, 14 5. Discrete Information 26 Huruf 52 Kartu 6 Power Ranger 64 Kotak Papan Catur 33 Mahasiswa Friday, August 22, 14 6. Elemen informasi diskrit diwakili di sistem digital oleh sinyal Friday, August 22, 14 7. arus, tegangan Friday, August 22, 14 8. Sinyal diskrit hanya mempunyai dua nilai (Biner) Friday, August 22, 14 9. Bit bernilai 0 dan 1 Friday, August 22, 14 10. Discrete elements of information are represented with groups of bits called binary codes Friday, August 22, 14 11. contoh kode biner 1: 2: 3: 4: 5: 0001 0010 0011 0100 0101 Friday, August 22, 14 12. Kadang (1000)2 (1000)10 Friday, August 22, 14 13. tidak mungkin (1008)2 Friday, August 22, 14 14. tidak mungkin keliru 00F1 Friday, August 22, 14 15. a digital system is a system that manipulates discrete elements of information represented internally in binary form. Thus Friday, August 22, 14 16. Diskrit secara alami Diambil dari proses kontinu (kuantisasi) Informasi Diskrit Friday, August 22, 14 17. Diskrit alami Friday, August 22, 14 18. Kuantisasi Friday, August 22, 14 19. Friday, August 22, 14 20. Kenapa Digital? Friday, August 22, 14 21. Dapat diprogram Friday, August 22, 14 22. Satu alat dapat digunakan untuk bermacam keperluan Friday, August 22, 14 23. Friday, August 22, 14 24. Bilangan Biner Friday, August 22, 14 25. Friday, August 22, 14 26. 1395 Friday, August 22, 14 27. 1395 seribu tiga ratus sembilan puluh lima Friday, August 22, 14 28. 1395 seribu tiga ratus sembilan puluh lima 1000 + 300 + 90 + 5 Friday, August 22, 14 29. 1395 seribu tiga ratus sembilan puluh lima 1000 + 300 + 90 + 5 1 x 1000 + 3 x 100 + 9 x 10 + 5 Friday, August 22, 14 30. 1395 seribu tiga ratus sembilan puluh lima 1000 + 300 + 90 + 5 1 x 1000 + 3 x 100 + 9 x 10 + 5 1 x 103 + 3 x 102 + 9 x 101 + 5 x 100 Friday, August 22, 14 31. 1395 seribu tiga ratus sembilan puluh lima 1000 + 300 + 90 + 5 1 x 1000 + 3 x 100 + 9 x 10 + 5 1 x 103 + 3 x 102 + 9 x 101 + 5 x 100 4 bit Friday, August 22, 14 32. Friday, August 22, 14 33. 1 x 103 + 3 x 102 + 9 x 101 + 5 x 100 a3 x 103 + a2 x 102 + a1 x 101 + a0 x 100 basis 10 Friday, August 22, 14 34. Friday, August 22, 14 35. basis 10 secara umum ...+103a3 + 102a2 + 101a1 + 100a0 + 10-1a-1 + 10-2a-2 + 10-3a-3 + ... Friday, August 22, 14 36. secara umum hanya ditulis koesennya saja Friday, August 22, 14 37. Friday, August 22, 14 38. Biner Friday, August 22, 14 39. Biner ...+23a3 + 22a2 + 21a1 + 20a0 + 2-1a-1 + 2-2a-2 + 2-3a-3 + ... Friday, August 22, 14 40. Biner ...+23a3 + 22a2 + 21a1 + 20a0 + 2-1a-1 + 2-2a-2 + 2-3a-3 + ... Friday, August 22, 14 41. Friday, August 22, 14 42. Biner Friday, August 22, 14 43. Biner 1101 Friday, August 22, 14 44. Biner 1101 1 x 23 + 1 x 22 + 0 x 21 + 1 x 20 Friday, August 22, 14 45. Biner 1101 1 x 23 + 1 x 22 + 0 x 21 + 1 x 20 8 + 4 + 0 + 1 (desimal) Friday, August 22, 14 46. Biner 1101 1 x 23 + 1 x 22 + 0 x 21 + 1 x 20 8 + 4 + 0 + 1 (desimal) 13 (desimal) Friday, August 22, 14 47. Friday, August 22, 14 48. Biner Friday, August 22, 14 49. Biner 10.1 Friday, August 22, 14 50. Biner 10.1 1 x 21 + 0 x 20 + 1 x 2-1 Friday, August 22, 14 51. Biner 10.1 1 x 21 + 0 x 20 + 1 x 2-1 2 + 0 + 0.5 (desimal) Friday, August 22, 14 52. Biner 10.1 1 x 21 + 0 x 20 + 1 x 2-1 2 + 0 + 0.5 (desimal) 2.5 (desimal) Friday, August 22, 14 53. Friday, August 22, 14 54. Basis-r Friday, August 22, 14 55. Basis-r ...+r3a3 + r2a2 + r1a1 + r0a0 + r-1a-1 + r-2a-2 + r-3a-3 + ... Friday, August 22, 14 56. Basis-r ...+r3a3 + r2a2 + r1a1 + r0a0 + r-1a-1 + r-2a-2 + r-3a-3 + ... nilai ai antara 0 dan r-1 Friday, August 22, 14 57. Friday, August 22, 14 58. oktal Friday, August 22, 14 59. oktal 10.1 Friday, August 22, 14 60. oktal 10.1 1 x 81 + 0 x 80 + 1 x 8-1 Friday, August 22, 14 61. oktal 10.1 1 x 81 + 0 x 80 + 1 x 8-1 8 + 0 + 0.125 (desimal) Friday, August 22, 14 62. oktal 10.1 1 x 81 + 0 x 80 + 1 x 8-1 8 + 0 + 0.125 (desimal) 8.125 (desimal) Friday, August 22, 14 63. Friday, August 22, 14 64. hexadesimal Friday, August 22, 14 65. hexadesimal 10.1 Friday, August 22, 14 66. hexadesimal 10.1 1 x 161 + 0 x 160 + 1 x 16-1 Friday, August 22, 14 67. hexadesimal 10.1 1 x 161 + 0 x 160 + 1 x 16-1 16 + 0 + 0.125 (desimal) Friday, August 22, 14 68. hexadesimal 10.1 1 x 161 + 0 x 160 + 1 x 16-1 16 + 0 + 0.125 (desimal) 16.0625 (desimal) Friday, August 22, 14 69. Friday, August 22, 14 70. Biner Friday, August 22, 14 71. Biner 210 = 1024 = 1K Friday, August 22, 14 72. Biner 210 = 1024 = 1K 220 = M Friday, August 22, 14 73. Biner 210 = 1024 = 1K 220 = M 230 = G Friday, August 22, 14 74. Biner 210 = 1024 = 1K 220 = M 230 = G 240 = T Friday, August 22, 14 75. Biner 210 = 1024 = 1K 220 = M 230 = G 240 = T Friday, August 22, 14 76. Friday, August 22, 14 77. Aritmatika bilangan berbasis r mengikuti aturan yang sama dengan bilangan desimal Friday, August 22, 14 78. Friday, August 22, 14 79. Biner Friday, August 22, 14 80. Biner 11 + 0 = 11 Friday, August 22, 14 81. Biner 11 + 0 = 11 1+1 = 10 Friday, August 22, 14 82. Biner 11 + 0 = 11 1+1 = 10 10+11= 101 Friday, August 22, 14 83. Biner 11 + 0 = 11 1+1 = 10 10+11= 101 11+11 = 110 Friday, August 22, 14 84. Friday, August 22, 14 85. octal Friday, August 22, 14 86. octal 1 + 1 = 2 Friday, August 22, 14 87. octal 1 + 1 = 2 7 + 1 = 10 Friday, August 22, 14 88. octal 1 + 1 = 2 7 + 1 = 10 17 +11 = 30 Friday, August 22, 14 89. octal 1 + 1 = 2 7 + 1 = 10 17 +11 = 30 17 + 1 = 20 Friday, August 22, 14 90. Friday, August 22, 14 91. hexadesimal Friday, August 22, 14 92. hexadesimal 9 + 1 = 10 Friday, August 22, 14 93. hexadesimal 9 + 1 = 10 9 + 2 = A Friday, August 22, 14 94. hexadesimal 9 + 1 = 10 9 + 2 = A F + 2 = 11 Friday, August 22, 14 95. hexadesimal 9 + 1 = 10 9 + 2 = A F + 2 = 11 FF + 1 = 100 Friday, August 22, 14 96. Friday, August 22, 14 97. Biner Friday, August 22, 14 98. Biner 1 - 1 = 0 Friday, August 22, 14 99. Biner 1 - 1 = 0 10 - 01 = 01 Friday, August 22, 14 100. Biner 1 - 1 = 0 10 - 01 = 01 1011 - 1001 =0010 Friday, August 22, 14 101. Friday, August 22, 14 102. Octal Friday, August 22, 14 103. Octal 10 - 1 = 7 Friday, August 22, 14 104. Octal 10 - 1 = 7 17 - 10 = 7 Friday, August 22, 14 105. Octal 10 - 1 = 7 17 - 10 = 7 21 - 17 = 2 Friday, August 22, 14 106. Friday, August 22, 14 107. Hexadesimal Friday, August 22, 14 108. Hexadesimal 10 - 1 = F Friday, August 22, 14 109. Hexadesimal 10 - 1 = F 1A - 11 = 9 Friday, August 22, 14 110. Hexadesimal 10 - 1 = F 1A - 11 = 9 A0 - 1 = 9F Friday, August 22, 14 111. Friday, August 22, 14 112. Konversi Friday, August 22, 14 113. Konversi (1)2 = (1)8 = (1)16 = (1)5 = 1 (desimal) Friday, August 22, 14 114. Konversi (1)2 = (1)8 = (1)16 = (1)5 = 1 (desimal) (1 0000)2 = (20)8 = (10)16 = (31)5 = 16 (desimal) Friday, August 22, 14 115. Konversi (1)2 = (1)8 = (1)16 = (1)5 = 1 (desimal) (1 0000)2 = (20)8 = (10)16 = (31)5 = 16 (desimal) (0.000110...)2 = 0.05 (desimal) Friday, August 22, 14 116. Konversi (1)2 = (1)8 = (1)16 = (1)5 = 1 (desimal) (1 0000)2 = (20)8 = (10)16 = (31)5 = 16 (desimal) (0.000110...)2 = 0.05 (desimal) (0.001)2 = 0.125 (desimal) Friday, August 22, 14 117. Friday, August 22, 14 118. Desimal ke binary Friday, August 22, 14 119. Desimal ke binary 102 Friday, August 22, 14 120. Desimal ke binary 102 102 bagi dua Friday, August 22, 14 121. Desimal ke binary 102 102 bagi dua 51 sisa 0 Friday, August 22, 14 122. Desimal ke binary 102 102 bagi dua 51 sisa 0 25 sisa 1 Friday, August 22, 14 123. Desimal ke binary 102 102 bagi dua 51 sisa 0 25 sisa 1 12 sisa 1 Friday, August 22, 14 124. Desimal ke binary 102 102 bagi dua 51 sisa 0 25 sisa 1 12 sisa 1 6 sisa 0 Friday, August 22, 14 125. Desimal ke binary 102 102 bagi dua 51 sisa 0 25 sisa 1 12 sisa 1 6 sisa 0 3 sisa 0 Friday, August 22, 14 126. Desimal ke binary 102 102 bagi dua 51 sisa 0 25 sisa 1 12 sisa 1 6 sisa 0 3 sisa 0 1 sisa 1 Friday, August 22, 14 127. Desimal ke binary 102 102 bagi dua 51 sisa 0 25 sisa 1 12 sisa 1 6 sisa 0 3 sisa 0 1 sisa 1 0 sisa 1 Friday, August 22, 14 128. Desimal ke binary 102 102 bagi dua 51 sisa 0 25 sisa 1 12 sisa 1 6 sisa 0 3 sisa 0 1 sisa 1 0 sisa 1 tulis dari bawah Friday, August 22, 14 129. Desimal ke binary 102 102 bagi dua 51 sisa 0 25 sisa 1 12 sisa 1 6 sisa 0 3 sisa 0 1 sisa 1 0 sisa 1 tulis dari bawah 1100110 Friday, August 22, 14 130. Desimal ke binary 102 102 bagi dua 51 sisa 0 25 sisa 1 12 sisa 1 6 sisa 0 3 sisa 0 1 sisa 1 0 sisa 1 tulis dari bawah 1100110 jadi Friday, August 22, 14 131. Desimal ke binary 102 102 bagi dua 51 sisa 0 25 sisa 1 12 sisa 1 6 sisa 0 3 sisa 0 1 sisa 1 0 sisa 1 tulis dari bawah 1100110 jadi (102)10 = (1100110)2 Friday, August 22, 14 132. Desimal ke binary 102 102 bagi dua 51 sisa 0 25 sisa 1 12 sisa 1 6 sisa 0 3 sisa 0 1 sisa 1 0 sisa 1 tulis dari bawah 1100110 jadi (102)10 = (1100110)2 Friday, August 22, 14 133. Friday, August 22, 14 134. Desimal ke octal Friday, August 22, 14 135. Desimal ke octal 102 Friday, August 22, 14 136. Desimal ke octal 102 102 bagi delapan Friday, August 22, 14 137. Desimal ke octal 102 102 bagi delapan 12 sisa 6 Friday, August 22, 14 138. Desimal ke octal 102 102 bagi delapan 12 sisa 6 1 sisa 4 Friday, August 22, 14

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