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Sistem Digital

MOH. FURQON Program Studi Teknik Informatika STT Nurul Jadid Paiton Probolinggo. Sistem Digital. Sistem Bilangan. Ada beberapa sistem bilangan yang digunakan dalam sistem digital. Yang paling umum adalah sistem bilangan desimal , biner , oktal dan heksadesimal

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Sistem Digital

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  1. MOH. FURQON Program Studi Teknik Informatika STT Nurul Jadid Paiton Probolinggo SistemDigital

  2. SistemBilangan Adabeberapasistembilangan yang digunakandalamsistem digital. Yang paling umumadalahsistembilangandesimal, biner, oktaldanheksadesimal Sistembilangandesimalmerupakansistembilangan yang paling familierdengankitakarenaberbagaikemudahannya yang kitapergunakansehari – hari.

  3. SistemBilangan Secaramatematissistembilanganbisaditulisseperticontohdibawahini:

  4. Contoh: Bilangandesimal: 5185.6810 = 5x103 + 1x102 + 8x101 + 5x100 + 6 x 10-1 + 8 x 10-2 = 5x1000 + 1x100 + 8x10 + 5 x 1 + 6x0.1 + 8x0.01 Bilanganbiner (radiks=2, digit={0, 1}) 100112 = 1  16 + 0  8 + 0  4 + 1  2 + 1  1 = 1910 MSB LSB 101.0012 = 1x4 + 0x2 + 1x1 + 0x.5 + 0x.25 + 1x.125 = 5.12510 SistemBilangan

  5. Sistem Radiks Himpunan/elemen Digit Contoh Desimal r=10 {0,1,2,3,4,5,6,7,8,9} 25510 Biner r=2 {0,1} 111111112 Oktal r= 8 {0,1,2,3,4,5,6,7} 3778 r=16 {0,1,2,3,4,5,6,7,8,9,A, B, C, D, E, F} FF16 Heksadesimal Desimal 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Heksa 0 1 2 3 4 5 6 7 8 9 A B C D E F Biner 0000 0001 0010 0011 0100 0101 0110 0111 1000 1001 1010 1011 1100 1101 1110 1111 Macam-Macam Sistem Bilangan

  6. KonversiRadiks-r kedesimal Rumuskonversiradiks-r kedesimal: Contoh: 11012 = 123 + 122 + 021+ 120 = 8 + 4 + 1 = 1310 5728 = 582 + 781 + 280 = 320 + 56 + 2 = 37810 2A16 = 2161 + 10160 = 32 + 10 = 4210

  7. KonversiBilanganDesimalkeBiner KonversibilangandesimalbulatkebilanganBiner: Gunakanpembagiandgn 2 secarasuksesifsampaisisanya = 0. Sisa-sisapembagianmembentukjawaban, yaitusisa yang pertamaakanmenjadileast significant bit (LSB)dansisa yang terakhirmenjadimost significant bit (MSB).

  8. Contoh: Konersi 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 = 101100112 MSB LSB KonversiBilanganDesimalkeBiner

  9. KonversiBilanganDesimalkeBiner Contoh: Konersi 0,17910 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 = 101100112 MSB LSB

  10. KonversiBilanganDesimalkeOktal Konversibilangandesimalbulatkebilanganoktal: Gunakanpembagiandgn 8 secarasuksesifsampaisisanya = 0. Sisa-sisapembagianmembentukjawaban, yaitusisa yang pertamaakanmenjadileast significant bit (LSB)dansisa yang terakhirmenjadimost significant bit (MSB).

  11. Contoh: Konversi 17910keoktal: 179 / 8 = 22 sisa 3 (LSB) / 8 = 2 sisa 6 / 8 = 0 sisa 2 (MSB)  17910 = 2638 MSB LSB Konversi Bilangan Desimal ke Oktal

  12. KonversiBilanganDesimalkeHexadesimal Konversibilangandesimalbulatkebilanganhexadesimal: Gunakanpembagiandgn 16 secarasuksesifsampaisisanya = 0. Sisa-sisapembagianmembentukjawaban, yaitusisa yang pertamaakanmenjadileast significant bit (LSB)dansisa yang terakhirmenjadimost significant bit (MSB).

  13. Contoh: Konversi 17910kehexadesimal: 179 / 16 = 11 sisa 3 (LSB) / 16 = 0 sisa11 (dalambilanganhexadesimalberartiB )MSB  17910 = B316 MSB LSB Konversi Bilangan Desimal ke Hexadesimal

  14. Materi selanjutnya KonversiBilangan: • BinerkeOktal • Oktal ke Biner • Biner ke Heksadesimal • Heksadesimal ke Biner

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