Selasa, 18 Oktober 2011

Tugas PTIK 3


TUGAS PTIK 3

Nama          : RONY ALFARIZOHN
NIM            : 12118734
KELAS       : 12.1A.14

Konversikan sistem bilangan di bawah ini !
1.   17 (d)               = 10001 (b)
2.   1010101 (b)     = 125 (o)
3.   116 (o)             = 4E (h)
4.   45 (d)               = 55 (o)
5.   29 (h)               = 101001 (b)
6.   2011 (o)           =  010000001001 (b)
7.   89 (d)               = 131 (o)
8.   7B (h)               = 1111011 (b)
9.   68 (h)               = 150 (o)
10. 4F (h)               = 79 (d)



JAWABAN

1.      17 (d) = 10001 (b)

Cara:

17 sisa 1
2

8 sisa 0
2

4 sisa 0
2

2 sisa 0
2

1 ==> 10001

                                                                                                                                                                                                               

2. 1010101 (b) = 125 (o)

Cara:

0          0          1          0          1          0          1          0          1
|       |       |       |       |       |       |       |       |
0*22  +  0*21 +  1*20         0*22  +  1*21  + 0*20         1*22   + 0*21   +   0*20
0    +       0     +      1              0     +      2     +      0              4     +      0     +      1
                1                                              2                                              5

                                                                                                                                                                                                               
3. 116 (o) = 4E (h)

Cara:
Diubah ke desimal terlebih dahulu :
1          1          6
|       |       |
1*82  +  1*81 +  6*80
64    +     8     +      6
                78

78        sisa 14(E)
16

4 ==> 4E

                                                                                                                                                                                                               
4. 45 (d) = 55 (o)

45 sisa 5
8

5 ==> 55

                                                                                                                                                           

5. 29 (h) = 101001 (b)
Cara:
2       9
|           |
10        1001

2 =>    2 sisa 0
            2
           
            1 ==> 10

9 =>    9 sisa 1
            2

            4 sisa 0
            2

            2 sisa 0
            2

1 ==> 1001

Jadi hasilnya = 101001


                                                                                                                                                                                                               
6. 2011 (o) = 010000001001 (b)

Cara :
2       0       1       1
|        |        |        |
010         000         001         001         
                                                                                                                                                                                                               
7. 89 (d) = 131 (o)

Cara:
89        sisa 1
8

11        sisa 3
8

1 ==> 131

                                                                                                                                                           

8. 7B (h) = 1111011 (b)

Cara:
7       B                
|        |                 
                111         1011                      


7 =>    7 sisa 1
            2
3 sisa 1
2
1 ==> 111

11 =>  11 sisa 1
            2

            5 sisa 1
            2

2 sisa 0
2

1 ==> 1011

Jadi hasilnya = 1111011

                                                                                                                                                           

9. 68 (h) = 150 (o)


Cara:

6       8                
|        |                 
                6*161  +  8*160
            96      +    8
            104

104      sisa 0
8

13        sisa 5
8

1 ===> 150

                                                                                                                                                           

10. 4F (h) = 79 (d)

Cara:

4       F(15)          
|        |                 
                4*161  +  15*160
            64      +    15
            79
                                                                                                                                                           

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