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BILANGAN BINER Konversi Bilangan Desimal ke Biner Contoh : 126 (10) = …. (2) 126 :
2=0
63
:
2=1
31
:
2=1
15
:
2=1
7
:
2=1
3
:
2=1
1
126 (10) = 1111110 (2)
Konversi Bilangan Biner ke Desimal Contoh : 1111110 (2) = …. (10)
1 1 1 1 1 1 0 = ( 1 x 2 6 ) + ( 1 x 2 5 ) + ( 1 x 2 4 ) + ( 1 x 2 3 ) + ( 1 x 2 2 ) + ( 1 x 2 1 ) + ( 0 x 2 0) = 64 + 32 + 16 + 8 + 4 + 2 + 0 = 126
1111110 (2) = 126 (10)
BILANGAN OKTAL Konversi Bilangan Desimal ke Oktal Contoh : 246 (10) = …. (8) Cara 1 :
Hasil Pembagian
246
:
8
=6
30
:
8
=6
Sisa Pembagian
3
246 (10) = 366 (8) Depannya ditambah angka nol ( 0 )
Cara 2 : 246 (10) = 11 110 110 (2) 246 123 61 30 15 7 3 1
: : : : : : :
2 2 2 2 2 2 2
=0 =1 =1 =0 =1 =1 =1
011 110 110 011 = ( 0 x 2 2 ) + ( 1 x 2 1) + ( 1 x 2 0 ) =0+2+1 =3 110 = (1 x 2 2 ) + ( 1 x 2 1 ) + (0 x 2 0 ) =4+2+0 =6 110 = ( 1 x 2 2 ) + ( 1 x 2 1 ) + ( 0 x 2 0 ) =4+2+0 =6
Konversi Bilangan Oktal ke Desimal Contoh : 176 (8) = …. (10)
176 = ( 1 x 8 2) + ( 7 x 8 1) + ( 6 x 8 0) = 64 + 56 + 6 = 126
176 (8) = 126 (10)
246 (10) = 366 (8)
BILANGAN HEXADESIMAL Konversi Bilangan Desimal ke Hexadesimal Contoh 1 : 28 (10) = …. (16) 28 1
:
28 (10) = 1 C (16)
Sisa Pembagian
16 = 12 ( C )
Contoh 2 : 345 (10) = …. (16) 345 : 21 : 1
16 = 9 16 = 5
Sisa Pembagian
345 (10) = 159 (16)
Konversi Bilangan Hexadesimal ke Desimal Contoh 1 : 9 F (16) = …. (10)
= ( 9 x 16 1 ) + ( F x 16 0 )
Catatan : Bilangan Hexadesimal adalah bilangan yang terdiri atas :
= ( 9 x 16 1 ) + ( 15 x 16 0 )
0 – 9, A, B,
9F
C,
D,
E,
F
13 14
15
= 144 + 15 = 159
9 F (16) = 159 (10)
Contoh 2 : 3 F E 8 (16) = …. (10) 3FE8 = ( 3 x 16 3 ) + ( F x 16 2 ) + ( E x 16 1 ) + ( 8 x 16 0 ) = ( 3 x 16 3 ) + ( 15 x 16 2 ) + ( 14 x 16 1 ) + ( 8 x 16 0 ) = 12288 + 3840 + 224 + 8 = 16360
3 F E 8 (16) = 16360 (10)
10 11 12
