BAHASA RAKITAN (Jawaban PR 29 November 2009 )
Nama : Pemilik & Pengelola Joshaxis NIM : 200822*** Tgl. : 13 Desember 2009
Teknik Informatika XI
JAWABAN : 1. Konversi Bilangan (a) Konversi Bilangan Hexadesimal ke Oktal 7 D A(16) = 3 7 3 1 2(8) Rincian : 7 D A(16) 0111(2) 3(8)
1101(2) 7(8)
3(8)
1010(2) 12(8)
(b) Konversi Bilangan Hexadesimal ke Desimal F 3 C(16) = 3 9 0 0 (10) Rincian : F 3 C(16) = F x 162 + 3 x 161 + C x 160 3840 + 48 + 12 = 3900(10) (c) Konversi Bilangan Desimal ke Hexadesimal 9 7 8(10) = 3 1 3 2 (16) Rincian : 978 61 sisa 2 16 61 3 sisa 13 16 3 0 sisa 3 16 (d) Konversi Bilangan Desimal ke Biner dalam pecahan 79,3752(10) = 1111,01100 (2) 0,3752 = 0,01100(2) Rincian : 79 = 101111(2) 0,3752 x 2 = 0,7504 79 0,7504 x 2 = 1,5008 39 sisa 1 0,5008 x 2 = 1,0016 2 39 19 sisa 1 0,0016 x 2 = 0,0032 2 0,0032 x 2 = 0,0064 19 9 sisa 1 9 2 4 sisa 1 101111 4 2 0 sisa 0 0,01100 + 0 2. 1 sisa 1 101111,01100(2) 2 Page 1 of 2
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BAHASA RAKITAN (Jawaban PR 29 November 2009 )
2. Perkalian Bilangan (a) Perkalian Bilangan Oktal 6 7 7(8) x 7 6 7(8) = 6 6 7 1 1 1(8) Rincian :
6 5 1 6 0 7 6 6 7
6 7 0 7 1 1
7 7(8) 6 7(8) x 7 1 2 + 1 1(8)
Perkalian : 7 x 7 = 49 : 8 = 61 carry 6 7 x 7 + 6carry = 49 + 6 = 55 : 8 = 67 carry 6 7 x 6 + 6carry = 42 + 6 = 48 : 8 = 60 6 x 7 = 42 : 8 = 52 carry 5 6 x 7 + 5carry = 42 + 5 = 47 : 8 = 57 carry 5 6 x 6 + 5carry = 36 + 5 = 41 : 8 = 51 7 x 7 = 49 : 8 = 61 carry 6 7 x 7 + 6carry = 49 + 6 = 55 : 8 = 67 carry 6 7 x 6 + 6carry = 42 + 6 = 48 : 8 = 60
Penjumlahan : 1=1 7 + 2 = 9 – 8 = 1 carry1 0 + 7 + 1 = 8 + 1carry = 9 – 8 = 1 carry 1 6 + 1 + 7 = 14 + 1carry = 15 – 8 = 7 carry 1 5 + 0 = 5 + 1carry = 6 6=6
(b) Perkalian Bilangan Oktal 5 7 6(8) x 7 5 7(8) = 5 5 9 2 4 2 (8) Rincian :
5 3 5 5 1 6 5 5 9
5 7 1 6 2 2
7 6(8) 5 7(8) x 6 2 6 + 4 2(8)
Perkalian : 7 x 6 = 42 : 8 = 52 carry 5 7 x 7 + 5carry = 49 + 5 = 54 : 8 = 66 carry 6 7 x 5 + 6carry = 35 + 6 = 41 : 8 = 51 5 x 6 = 30 : 8 = 36 carry 3 5 x 7 + 3carry = 35 + 3 = 38 : 8 = 46 carry 4 5 x 5 + 4carry = 25 + 4 = 29 : 8 = 35 7 x 6 = 42 : 8 = 52 carry 5 7 x 7 + 5carry = 49 + 5 = 54 : 8 = 66 carry 6 7 x 5 + 6carry = 35 + 6 = 41 : 8 = 51
Penjumlahan : 2=2 6 + 6 = 12 – 8 = 4 carry1 1 + 6 + 2 = 9 + 1carry = 10 – 8 = 2 carry 1 5 + 5 + 6 = 16 + 1carry = 17 – 8 = 9 carry 1 3 + 1 = 4 + 1carry = 5 5=5
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