Senin, 20 Januari 2014

Sistem Bilangan

SISTEM BILANGAN
·      Biner ↔ Desimal
01100001                                  
0 × 2 = 0
0 × 2 = 64
0 × 2 = 32
0 × 2 = 0
0 × 2³ = 0
0 × 2² = 0
0 × 2¹ = 0
0 × 2 = 0   +
          ——
            97₁₀
·      Desimal ↔ Biner
97₁₀
2 —— 1
     48
2 —— 0
     24
2 —— 0
     12
2 —— 0
     6
2 —— 0
     3
2 —— 1
     1
·      Oktal
                      Desimal        Fungsinya membagi/merenggangkan.
Heksa
*    Keterangan
   A = 10
   B = 11
   C = 12
   D = 13
  
   E = 14
   F = 15
   G = 16
   H = 17
*   Oktal ↔ Desimal
137 = ........ ₁₀
1 × 8² = 64
3 × 8¹ = 24
7 × 8 = 7   +
            ——
            95₁₀
*   Heksa ↔ Desimal
1F4₁₆ = ........ ₁₀
1 × 16² = 256
F × 16¹ = 240
4 × 16 = 4   +
              ——
              500₁₀
              Oktal
·      Biner
                 Heksa


 
*   1 digit bilangan Oktal ----> 3 bilangan biner
1 digit bilangan Heksa ----> 4 bilangan biner
                                                                      
*   Biner             Oktal
01101110
001        101         110                              156
0 × 2²     1 × 2²     1 × 2²
0 × 2¹      0 × 2¹     1 × 2¹
1 × 2     1 × 2⁰     0 × 2⁰
——      ——      ——
     1          5              6
244₈ = ....... ₂                                                        10100100
2                      4                   4
2 —— 0           2 —— 0       2 —— 0
1                                            2                   2
  2 —— 0       2 ——
*   Biner ↔ Heksa
01101110
0110                     1110                            6E₁₆
0 × 2³ = 0             1 × 2³ = 8
1 × 2² = 4             1 × 2² = 4
1 × 2¹ = 2             1 × 2¹ = 2
0 × 2⁰ = 0             0 × 2⁰ = 0
  ————             ————
          6                               14
*   254
2                      5                      4
2 —— 0         2 —— 1          2 —— 0
1                                            2                      2
  2 —— 0          2 —— 0
1                                            1
10101100
*   2AD
2                      10                    13
2 —— 0           2 —— 0          2 —— 1
1                                            5                         6
 2 —— 1           2 —— 0
      2                         3
 2 —— 0           2 —— 1
      1                         2
                          1 —— 0
                                 1

Tidak ada komentar:

Posting Komentar