Selasa, 24 Februari 2009

Sistem Bilangan

1. bilangan biner
2. bilangan decimal
3. bilangan hexadecimal
4. bilangan octal

bilangan biner ( 0 dan 1) –> Basis 2
bilangan decimal (0,1,2,3,4,5,6,7,8 dan 9)
bilangan hexadecimal (0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,dan F)
dimana :
A = 10
B = 11
C = 12
D = 13
E = 14
F = 15
bilangan octal (0,1,2,3,4,5,6,dan 7)

contoh :
bil. Biner : 101101
bil. decimal : 340
bil. hexadecimal : 340 atau A31, FFF
bil. octal : 340, 703, 890 ( bukan )

Konversi
Decimal –> Biner
Decimal –> Oktal
Decimal –> Hexadecimal

Biner –> Decimal
Biner –> Oktal
Biner –> Hexadecimal

Oktal –> Biner
Oktal –> Hexadecimal
Oktal –> Decimal

Hexadecimal –> Biner
Hexadecimal –> Oktal
Hexadecimal –> Decimal

Decimal –> Biner (Bilangan yang dibagi ditentukan sesuai dengan jlh basisnya)
23(10) = ? (2)

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

23 (10) = 10111 ( 2 )

16 (10) = ? (2)

16 : 2 = 8 sisa 0
8 : 2 = 4 sisa 0
4 : 2 = 2 sisa 0
2 : 2 = 1 sisa 0

16 (10) = 10000 (2)

Decimal –> Oktal

23(10) = ? (8)

23 : 8 = 2 sisa 7

23(10) = 27(8)

100 (10) = ? (8)

100 : 8 = 12 sisa 4
12 : 8 = 1 sisa 4

100(10) = 144 (8)

Decimal –> Hexadecimal

23 (10) = ? (16)

23 : 16 = 1 sisa 7

23(10) = 17 (16)

100(10) = ? (16)

100 : 16 = 6 sisa 4

100 (10) = 64 (16)

28 (10) = ? (16)

28 : 16 = 1 sisa 12

28 (10) = 1C

Biner –> Decimal

10110 (2) = ? (10)
10110 (2) = 22 (10)

octal –> decimal

27 (8) = ? (10)
27 (8) = 23 (10)

300 (8) = 192 (10)

Hexadecimal –> Decimal

2A (16) = ? (10)
2A (16) = 42 (10)

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