02.teknik digital sistem bilangan_01
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  • 1. Teknik Digital Pertemuan 21 Zulfadli Sulthan - PTIK - UNM 12/13/2011
  • 2. Sistem Bilangan Ch.12 Zulfadli Sulthan - PTIK - UNM 12/13/2011
  • 3. Sistem-Sistem Bilangan secara matematis:3 Zulfadli Sulthan - PTIK - UNM 12/13/2011
  • 4. Example  desimal: 5185.6810 = 5x103 + 1x102 + 8x101 + 5x100 + 6 x 10-1 + 8 x 10-2 = 5x1000 + 1x100 + 8x10 + 5 x 1 + 6x0.1 + 8x0.01  biner (radiks=2, digit={0, 1}) 100112 = 1 16 + 0 8 + 0 4+1 2+1 1 = 1910 | | MSB LSB 101.0012 = 1x4 + 0x2 + 1x1 + 0x0.5 + 0x0.25 + 1x0.125 = 5.125104 Zulfadli Sulthan - PTIK - UNM 12/13/2011
  • 5. Sistem Bilangan umum5 Zulfadli Sulthan - PTIK - UNM 12/13/2011
  • 6. Konversi Radiks-r ke desimal  Ekspansikan dengan menggunakan definisi berikut n 1 i Dr i n di r6 Zulfadli Sulthan - PTIK - UNM 12/13/2011
  • 7. Example  Contoh-contoh:  1101.1012 = 1 23 + 1 22 + 1 20 + 1 2-1 + 1 2-3 = 8 + 4 + 1 + 0.5 + 0.125 = 13.62510  572.68 = 5 82 + 7 81 + 2 80 + 6 8-1 = 320 + 56 + 16 + 0.75 = 392.7510  2A.816 = 2 161 + 10 160 + 8 16-1 = 32 + 10 + 0.5 = 42.510  132.34 = 1 42 + 3 41 + 2 40 + 3 4-1 = 16 + 12 + 2 + 0.75 = 30.7510  341.245 = 3 52 + 4 51 + 1 50 + 2 5-1 + 4 5-2 = 75 + 20 + 1 + 0.4 + 0.16 = 96.56107 Zulfadli Sulthan - PTIK - UNM 12/13/2011
  • 8. Konversi Decimal ke Biner  Konversi bilangan desimal bulat: Gunakan pembagian dengan 2 secara suksesif sampai sisanya = 0. Sisa-sisa pembagian membentuk jawaban, yaitu sisa yang pertama akan menjadi least significant bit (LSB) dan sisa yang terakhir menjadi most significant bit (MSB).8 Zulfadli Sulthan - PTIK - UNM 12/13/2011
  • 9. Example  Contoh: Konversi 17910 ke biner: 179 / 2 = 89 sisa 1 (LSB) / 2 = 44 sisa 1 / 2 = 22 sisa 0 / 2 = 11 sisa 0 / 2 = 5 sisa 1 / 2 = 2 sisa 1 / 2 = 1 sisa 0 / 2 = 0 sisa 1 (MSB) 17910 = 1011001129 Zulfadli Sulthan - PTIK - UNM 12/13/2011
  • 10. Thankyou !!!10 Zulfadli Sulthan - PTIK - UNM 12/13/2011