representasi data digital · 2018. 6. 21. · mengkaji'dan'mendiskusikan:' •...
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Representasi Data Digital
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Mengkaji'dan'mendiskusikan:'• Konversi'bilangan'• Operasi'biner'• Representasi'data'• Pengkodean'pada'komputer'
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Bilangan'Desimal'(10'simbol'atau'Basis'10):''0,'1,'2,'3,'4,'5,'6,'7,'8,'dan'9'
Bilangan'Biner'(2'simbol'atau'Basis'2):''0'dan'1'
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COINS SIMBOL DESIMAL SIMBOL BINER No Coin 0 0 O 1 1 OO 2 10 OOO 3 11 OOOO 4 100 OOOOO 5 101 OOOOOO 6 110 OOOOOOO 7 111 OOOOOOOO 8 1000 OOOOOOOOO 9 1001
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Ribuan Ratusan Puluhan Satuan
1250 = 1000 + 200 + 50 + 0
5'
1 * 1000 = 1000 2 * 100 = 200 5 * 10 = 50 0 * 1 = 0
= 1250
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Place Value 8s 4s 2s 1s Bilangan Biner 1 1 0 1
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1 * 8 = 8 1 * 4 = 4 0 * 2 = 0 1* 1 = 1 Des = 13
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Basispangkat 27 26 25 24 23 22 21 20
Place Value 128s 64s 32s 16s 8s 4s 2s 1s
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Biner 1 1 0 0 1 1
Desimal 32 + 16 + 2 + 1 = 51
Biner 1 0 1 0 1 0
Desimal 32 + 8 + 2 = 42
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13 ':'2 '='6 'sisa '1'
''6 ':'2 '='3 'sisa '0'
''3 ':'2 '='1 'sisa '1'
''1 ':'2 '='0 'sisa '1'1 1 0 1
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1s
2s
4s
8s
1310 = ?2
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10'
3710 = ?2
6410 = ?2
9010 = ?2
10010 = ?2
12810 = ?2
25610 = ?2
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Desimal Biner Hexa 0 0000 0 1 0001 1 2 0010 2 3 0011 3 4 0100 4 5 0101 5 6 0110 6 7 0111 7 8 1000 8 9 1001 9
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Desimal Biner Hexa 10 1010 A 11 1011 B 12 1100 C 13 1101 D 14 1110 E 15 1111 F 16 1 0000 10 17 1 0001 11 18 1 0010 12 19 1 0011 13
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Hexa C 3 C316
Biner 1100 0011 1100 00112
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Biner 1110 1010 1110 10102
Hexa E A EA16
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B416
A216
FF16
AB16
A216
1010 0010 A x 16 = 160 2 x 1 = 2 162
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• AND—Apakah'dua'nilai'keduanya'ON'(1)?'• OR—'Apakah'salah'satu'nilai'ON'(1)?'• NOT—Konversi'berlawanan'• XOR—exclusive'or,'apakah'kedua'nilai'berbeda?'
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• Bit'• Byte'• Word'
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• Singkatan'dari'binary'digit'– Dua'kemungian'nilai:'0'dan'1'– Tidak'pernah'kosong'
• Satuan'dasar'untuk'penyimpanan'data'– 0'berar<'off,'1'berar<'on'
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• 8'bit'yang'dikelompokkan'menjadi'satu'disebut'byte.''• Se<ap'byte'memiliki'256'kemungkinan'nilai'• Se<ap'byte'merepresentasikan'satu'karakter'(huruf,'angka,'atau'karakter'khusus)'
• Se<ap'sel'memori'komputer'menyimpan'1'byte'• Memori'dan'storage'devices'diukur'dalam'banyaknya'bytes'
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• Jumlah'bits'yang'diproses'oleh'CPU'sebagai'satu'kesatuan.'– Word'semakin'besar,'komputer'semakin'powerful'
• Word'biasanya'digunakan'untuk'ukuran'register'CPU'• merupakan'jumlah'bit'yang'menjadi'satuan'umum'untuk'data.''
• Panjang'word'bervariasi'(8'bits'untuk'komputer'pertama'dan'32'atau'64'bits'untuk'komputer'sekarang)'
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Byte%(B)% Bit%(b)%Kilobyte'(KB)' Kilobit'(Kb)'Megabyte'(MB)' Megabit'(Mb)'Terabyte'(TB)' Terabit'(Tb)'
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1'nibble '='4'bit'1'Byte' '(B)' '='8'bits'1'KiloByte' '(KB) '='1.024'B'1'MegaByte' '(MB) '='1.024'KB'1'GigaByte' '(GB) '='1.024'MB'1'TeraByte' '(TB) '='1.024'GB''1'Kilobit/s '(Kbps)' '='1.000'bits/s'1'Megabit/s '(Mbps) '='1.000'Kb/s'''
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• Bit'per'second'='bit/second'='bps'• Kbps ':'Kilo'bit'per'second'• Mbps'':'Mega'bit'per'second'• Gbps ':'Giga'bit'per'second'
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Coding Scheme
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• Provide'a'common'way'of'represen<ng'a'character'of'data'– Needed'so'computers'can'exchange'data'
• Common'Schemes'– ASCII'– EBCDIC'– Unicode'
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• Singkatan'dari'American)Standard)Code)for)Informa1on)Interchange)
• Standar'yang'paling'banyak'digunakan'• Digunakan'pada'(hampir)'semua'PC''
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• Menggunakan'7'bits'untuk'se<ap'character.'Sehingga'terdapat'128'kombinasi'unik'dari'7'bits,'kode'7'bits'''hanya'dapat'merepresentasikan'128'characters.''
• Versi'yang'lebih'umum'adalah'ASCII"8,'disebut'extended'ASCII,'yang'menggunakan'8'bits'per'character'dan'dapat'merepresentasikan'256'characters'berbeda.''
• Sebagai'contoh,'huruf'A'memiliki'kode'ASCII'01000001.''
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• Extended'Binary'Coded'Decimal'Interchange'Code'– Digunakan'IBM'mainframes'– Opera<ng'system'OS/390'– Menggunakan'kode'8'bit'
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• Dirancang'untuk'mengakomodasi'abjad'lebih'dari'256'karakter'
• Menggunakan'16'bits'untuk'representasi'satu'karakter'– Terdapat'65,536'kemungkinan'nilai'
• Membutuhkan'dua'kali'lebih'banyak'ruang'untuk'menyimpan'data'
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Terima Kasih
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