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Jumat, 04 Mei 2012

Tugas Elektronika '' Sistem Bilangan Biner, Desimal, Oktal, Heksadesimal "


1.


A.      ( 95 )10  = ( 1011111 )2

95 : 2 = 47 sisa 1
47 : 2 = 23 sisa 1
23 : 2 = 11 sisa 1
11 : 2 = 5 sisa 1
5 : 2 = 2 sisa 1
2 : 2 = 1 sisa 0
1 : 2 = 0 sisa 1

B.      ( 287 )10  = ( 437 )8

287 : 8 = 35 sisa 7
35 : 8 = 4 sisa 3
4 : 8 = 0 sisa 4

C.      ( 68 )10  = ( 1000100 )2

68 : 2 = 34 sisa 0
34 : 2 = 17 sisa 0
17 : 2 = 8 sisa 1
8 : 2 = 4 sisa 0
4 : 2 = 2 sisa 0
2 : 2 = 1 sisa 0
1 : 2 = 0 sisa 1

D.      ( 425 )10  = ( 651 )8

425 : 8 = 53 sisa 1
53 : 8 = 6 sisa 5
6 : 8 = 0 sisa 6

E.       ( 1305 )10  = ( 519 )16

1305 : 16 = 81 sisa 9
81 : 16 = 5 sisa 1
5 : 16 = 0 sisa 5

F.       ( 49 )10  = ( 110001 )2

49 : 2 = 24 sisa 1
24 : 2 = 12 sisa 0
12 : 2 = 6 sisa 0
6 : 2 = 3 sisa 0
3 : 2 = 1 sisa 1
1 : 2 = 0 sisa 1

G.     ( 358 )10  = ( 546 )8

358 : 8 = 44 sisa 6
44 : 8 = 5 sisa 4
5 : 8 = 0 sisa 5

H.      ( 3456 )10  = ( D80 )16

3456 : 16 = 216 sisa 0
216 : 16 = 13 sisa 8
13 : 16 = 0 sisa 13

I.        ( 63 )10  = ( 111111 )2

63 : 2 = 31 sisa 1
31 : 2 = 15 sisa 1
15 : 2 = 7 sisa 1
7 : 2 = 3 sisa 1
3 : 2 = 1 sisa 1
1 : 2 = 0 sisa 1

J.        ( 1732 )10  = ( 6C4 )16

1732 : 16 = 108 sisa 4
108 : 16 = 6 sisa 12
6 : 16 = 0 sisa 6





2.


A.      ( 11010111 )2  = ( 235 )10

( 1 x 20 ) + ( 1 x 21 ) + ( 0 ) + ( 1 x 23 ) + ( 0 ) + ( 1 x 25 ) + ( 1 x 26 ) + ( 1 x 27 ) =
1 + 2 + 0 + 8 + 0 + 32 + 64 + 128 =
235

B.      ( 101010011 )2  = ( 523 )8

( 011 )2  = ( 1 x 20 ) + ( 1 x 21 ) + ( 0 )
               = 1 + 2 + 0
               = 3
( 010 )2  = ( 0 ) + ( 1 x 21 ) + ( 0 )
               = 0 + 2 + 0
               = 2
( 101 )2   = ( 1 x 20 ) + ( 0 ) + ( 1 x 22 )
               = 1 + 0 + 4
               = 5

C.      ( 111000110111 )2  = ( E37 ) 16

( 0111 )2  = ( 1 x 20 ) + ( 1 x 21 ) + ( 1 x 22 ) + ( 0 )
                 = 1 + 2 + 4 + 0
                 = 7
( 0011 )2  = ( 1 x 20 ) + ( 1 x 21 ) + ( 0 ) + ( 0 )
                 = 1 + 2 + 0 + 0
                 = 3
( 1110 )2  = ( 0 ) + ( 1 x 21 ) + ( 1 x 22 ) + ( 1 x 23 )
                 = 0 + 2 + 4 + 8
                 = 14

D.      ( 367 ) 8  = ( 247 )10

= ( 7 x 80 ) + ( 6 x 81 ) + ( 3 x 82 )
= 7 + 48 + 192
= 247

E.       ( 571 )8  = ( 101111001 )2

1 = 001
7 = 111
5 = 101

F.       ( 724 )8  = ( 1D4 )16

4 = 100
2 = 010
7 = 111

( 724 )8  = ( 111010100 )2

0001 = 1,  1101 = 13,  0100 = 4

G.     ( BC56 )16  = ( 1011110001010110 )2

6 = 0110
5 = 0101
C = 1100
B = 1011

H.      ( AF154 )16  = ( 717140 )10

= ( 4 x 160 ) + ( 5 x 161 ) + ( 1 x 162 ) + ( 15 x 163 ) + ( 10 x 164 )
= 4 + 80 + 256 + 61440 + 655360
= 717140

I.        ( D9E8 )16  = ( 154770 )8

8 = 1000
E = 1110
9 = 1001
D = 1101

( D9E8 )16  = ( 1101100111101000 )2

001 = 1, 101 = 5, 100 = 4, 111 = 7, 111 = 7, 000 = 0

J.        ( BE32D )16  = ( 2761455 )8

D = 1101
2 = 0010
3 = 0011
E = 1110
B = 1011

( BE32D )16  = ( 10111110001100101101 )2

010 = 2, 111= 7, 110 = 6, 001= 1, 100 = 4, 101 = 5, 101 = 5

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