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A Zahlensysteme

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A Zahlensysteme A Zahlensysteme Außer dem Dezimalsystem sind das Dual-,dasOktal- und das Hexadezimalsystem gebräuchlich. Ferner spielt das Binär codierte Dezimalsystem (BCD) bei manchen Anwendungen eine Rolle. Bei diesem sind die einzelnen Dezimalstellen für sich dual dargestellt. Die folgende Tabelle enthält die Werte von 0 bis dezimal 255. Be- quemlichkeitshalber sind auch die zugeordneten ASCII-Zeichen aufgeführt. dezimal dual oktal hex BCD ASCII 0 0 0 0 0 nul 11111soh 2102210stx 3113311etx 4 100 4 4 100 eot 5 101 5 5 101 enq 6 110 6 6 110 ack 7 111 7 7 111 bel 8 1000 10 8 1000 bs 9 1001 11 9 1001 ht 10 1010 12 a 1.0 lf 11 101 13 b 1.1 vt 12 1100 14 c 1.10 ff 13 1101 15 d 1.11 cr 14 1110 16 e 1.100 so 15 1111 17 f 1.101 si 16 10000 20 10 1.110 dle 17 10001 21 11 1.111 dc1 18 10010 22 12 1.1000 dc2 19 10011 23 13 1.1001 dc3 20 10100 24 14 10.0 dc4 21 10101 25 15 10.1 nak 22 10110 26 16 10.10 syn 430 A Zahlensysteme 23 10111 27 17 10.11 etb 24 11000 30 18 10.100 can 25 11001 31 19 10.101 em 26 11010 32 1a 10.110 sub 27 11011 33 1b 10.111 esc 28 11100 34 1c 10.1000 fs 29 11101 35 1d 10.1001 gs 30 11110 36 1e 11.0 rs 31 11111 37 1f 11.1 us 32 100000 40 20 11.10 space 33 100001 41 21 11.11 ! 34 100010 42 22 11.100 ” 35 100011 43 23 11.101 # 36 100100 44 24 11.110 $ 37 100101 45 25 11.111 % 38 100110 46 26 11.1000 & 39 100111 47 27 11.1001 ’ 40 101000 50 28 100.0 ( 41 101001 51 29 100.1 ) 42 101010 52 2a 100.10 * 43 101011 53 2b 100.11 + 44 101100 54 2c 100.100 , 45 101101 55 2d 100.101 - 46 101110 56 2e 100.110 . 47 101111 57 2f 100.111 / 48 110000 60 30 100.1000 0 49 110001 61 31 100.1001 1 50 110010 62 32 101.0 2 51 110011 63 33 101.1 3 52 110100 64 34 101.10 4 53 110101 65 35 101.11 5 54 110110 66 36 101.100 6 55 110111 67 37 101.101 7 56 111000 70 38 101.110 8 57 111001 71 39 101.111 9 58 111010 72 3a 101.1000 : 59 111011 73 3b 101.1001 ; 60 111100 74 3c 110.0 < 61 111101 75 3d 110.1 = 62 111110 76 3e 110.10 > 63 111111 77 3f 110.11 ? 64 1000000 100 40 110.100 @ 65 1000001 101 41 110.101 A 66 1000010 102 42 110.110 B 67 1000011 103 43 110.111 C A Zahlensysteme 431 68 1000100 104 44 110.1000 D 69 1000101 105 45 110.1001 E 70 1000110 106 46 111.0 F 71 1000111 107 47 111.1 G 72 1001000 110 48 111.10 H 73 1001001 111 49 111.11 I 74 1001010 112 4a 111.100 J 75 1001011 113 4b 111.101 K 76 1001100 114 4c 111.110 L 77 1001101 115 4d 111.111 M 78 1001110 116 4e 111.1000 N 79 1001111 117 4f 111.1001 O 80 1010000 120 50 1000.0 P 81 1010001 121 51 1000.1 Q 82 1010010 122 52 1000.10 R 83 1010011 123 53 1000.11 S 84 1010100 124 54 1000.100 T 85 1010101 125 55 1000.101 U 86 1010110 126 56 1000.110 V 87 1010111 127 57 1000.111 W 88 1011000 130 58 1000.1000 X 89 1011001 131 59 1000.1001 Y 90 1011010 132 5a 1001.0 Z 91 1011011 133 5b 1001.1 [ 92 1011100 134 5c 1001.10 \ 93 1011101 135 5d 1001.11 ] 94 1011110 136 5e 1001.100 ^ 95 1011111 137 5f 1001.101 _ 96 1100000 140 60 1001.110 ‘ 97 1100001 141 61 1001.111 a 98 1100010 142 62 1001.1000 b 99 1100011 143 63 1001.1001 c 100 1100100 144 64 1.0.0 d 101 1100101 145 65 1.0.1 e 102 1100110 146 66 1.0.10 f 103 1100111 147 67 1.0.11 g 104 1101000 150 68 1.0.100 h 105 1101001 151 69 1.0.101 i 106 1101010 152 6a 1.0.110 j 107 1101011 153 6b 1.0.111 k 108 1101100 154 6c 1.0.1000 l 109 1101101 155 6d 1.0.1001 m 110 1101110 156 6e 1.1.0 n 111 1101111 157 6f 1.1.1 o 112 1110000 160 70 1.1.10 p 432 A Zahlensysteme 113 1110001 161 71 1.1.11 q 114 1110010 162 72 1.1.100 r 115 1110011 163 73 1.1.101 s 116 1110100 164 74 1.1.110 t 117 1110101 165 75 1.1.111 u 118 1110110 166 76 1.1.1000 v 119 1110111 167 77 1.1.1001 w 120 1111000 170 78 1.10.0 x 121 1111001 171 79 1.10.1 y 122 1111010 172 7a 1.10.10 z 123 1111011 173 7b 1.10.11 { 124 1111100 174 7c 1.10.100 | 125 1111101 175 7d 1.10.101 } 126 1111110 176 7e 1.10.110 ~ 127 1111111 177 7f 1.10.111 del 128 10000000 200 80 1.10.1000 129 10000001 201 81 1.10.1001 130 10000010 202 82 1.11.0 131 10000011 203 83 1.11.1 132 10000100 204 84 1.11.10 133 10000101 205 85 1.11.11 134 10000110 206 86 1.11.100 135 10000111 207 87 1.11.101 136 10001000 210 88 1.11.110 137 10001001 211 89 1.11.111 138 10001010 212 8a 1.11.1000 139 10001011 213 8b 1.11.1001 140 10001100 214 8c 1.100.0 141 10001101 215 8d 1.100.1 142 10001110 216 8e 1.100.10 143 10001111 217 8f 1.100.11 144 10010000 220 90 1.100.100 145 10010001 221 91 1.100.101 146 10010010 222 92 1.100.110 147 10010011 223 93 1.100.111 148 10010100 224 94 1.100.1000 149 10010101 225 95 1.100.1001 150 10010110 226 96 1.101.0 151 10010111 227 97 1.101.1 152 10011000 230 98 1.101.10 153 10011001 231 99 1.101.11 154 10011010 232 9a 1.101.100 155 10011011 233 9b 1.101.101 156 10011100 234 9c 1.101.110 157 10011101 235 9d 1.101.111 A Zahlensysteme 433 158 10011110 236 9e 1.101.1000 159 10011111 237 9f 1.101.1001 160 10100000 240 a0 1.110.0 161 10100001 241 a1 1.110.1 162 10100010 242 a2 1.110.10 163 10100011 243 a3 1.110.11 164 10100100 244 a4 1.110.100 165 10100101 245 a5 1.110.101 166 10100110 246 a6 1.110.110 167 10100111 247 a7 1.110.111 168 10101000 250 a8 1.110.1000 169 10101001 251 a9 1.110.1001 170 10101010 252 aa 1.111.0 171 10101011 253 ab 1.111.1 172 10101100 254 ac 1.111.10 173 10101101 255 ad 1.111.11 174 10101110 256 ae 1.111.100 175 10101111 257 af 1.111.101 176 10110000 260 b0 1.111.110 177 10110001 261 b1 1.111.111 178 10110010 262 b2 1.111.1000 179 10110011 263 b3 1.111.1001 180 10110100 264 b4 1.1000.0 181 10110101 265 b5 1.1000.1 182 10110110 266 b6 1.1000.10 183 10110111 267 b7 1.1000.11 184 10111000 270 b8 1.1000.100 185 10111001 271 b9 1.1000.101 186 10111010 272 ba 1.1000.110 187 10111011 273 bb 1.1000.111 188 10111100 274 bc 1.1000.1000 189 10111101 275 bd 1.1000.1001 190 10111110 276 be 1.1001.0 191 10111111 277 bf 1.1001.1 192 11000000 300 c0 1.1001.10 193 11000001 301 c1 1.1001.11 194 11000010 302 c2 1.1001.100 195 11000011 303 c3 1.1001.101 196 11000100 304 c4 1.1001.110 197 11000101 305 c5 1.1001.111 198 11000110 306 c6 1.1001.1000 199 11000111 307 c7 1.1001.1001 200 11001000 310 c8 10.0.0 201 11001001 311 c9 10.0.1 202 11001010 312 ca 10.0.10 434 A Zahlensysteme 203 11001011 313 cb 10.0.11 204 11001100 314 cc 10.0.100 205 11001101 315 cd 10.0.101 206 11001110 316 ce 10.0.110 207 11001111 317 cf 10.0.111 208 11010000 320 d0 10.0.1000 209 11010001 321 d1 10.0.1001 210 11010010 322 d2 10.1.0 211 11010011 323 d3 10.1.1 212 11010100 324 d4 10.1.10 213 11010101 325 d5 10.1.11 214 11010110 326 d6 10.1.100 215 11010111 327 d7 10.1.101 216 11011000 330 d8 10.1.110 217 11011001 331 d9 10.1.111 218 11011010 332 da 10.1.1000 219 11011011 333 db 10.1.1001 220 11011100 334 dc 10.10.0 221 11011101 335 dd 10.10.1 222 11011110 336 de 10.10.10 223 11011111 337 df 10.10.11 224 11100000 340 e0 10.10.100 225 11100001 341 e1 10.10.101 226 11100010 342 e2 10.10.110 227 11100011 343 e3 10.10.111 228 11100100 344 e4 10.10.1000 229 11100101 345 e5 10.10.1001 230 11100110 346 e6 10.11.0 231 11100111 347 e7 10.11.1 232 11101000 350 e8 10.11.10 233 11101001 351 e9 10.11.11 234 11101010 352 ea 10.11.100 235 11101011 353 eb 10.11.101 236 11101100 354 ec 10.11.110 237 11101101 355 ed 10.11.111 238 11101110 356 ee 10.11.1000 239 11101111 357 ef 10.11.1001 240 11110000 360 f0 10.100.0 241 11110001 361 f1 10.100.1 242 11110010 362 f2 10.100.10 243 11110011 363 f3 10.100.11 244 11110100 364 f4 10.100.100 245 11110101 365 f5 10.100.101 246 11110110 366 f6 10.100.110 247 11110111 367 f7 10.100.111 A Zahlensysteme 435 248 11111000 370 f8 10.100.1000 249 11111001 371 f9 10.100.1001 250 11111010 372 fa 10.101.0 251 11111011 373 fb 10.101.1 252 11111100 374 fc 10.101.10 253 11111101 375 fd 10.101.11 254 11111110 376 fe 10.101.100 255 11111111 377 ff 10.101.101 B Zeichensätze und Sondertasten B.1 EBCDIC, ASCII, Roman8, IBM-PC Die Zeichensätze sind in den Ein- und Ausgabegeräten (Terminal, Drucker) gespei- cherte Tabellen, die die Zeichen in Zahlen und zurück umsetzen.
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