mbos8a_eng (13.03.2014)
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Kompetent für Elektroniksysteme
Appendix
Conversion chart: hexadecimal (HEX) <--> decimal (DEC)
The corresponding HEX number (2 digits, HEX numbers are often indicated by a preceding '$' sign) to
a common DEC number (<256) or vice versa can be directly deduced from this table:
By using this chart, also higher decimal numbers (255 < x < 65536) can be converted to the corresponding
4-digit HEX number (h3h2h1h0):
HEX number (h3h2) = DEC number DIV 256 (high-byte)
HEX number (h1h0) = DEC number MOD 256 (low-byte)
Here, the operation
DIV is a division yielding the whole number part of the division (before the decimal
point, no rounding up) and the operation MOD yields the rest of the division.
As a proof, the following must be true:
DEC number = h3 x 4096 + h2 x 256 + h1 x 16 + h
0
Example: DEC number = 4800 --> HEX number = ?
1) HEX number(h3h2) = 4800 DIV 256 = 18 (DEC number) = $12 (Hex) (high-byte)
2) HEX number(h1h0) = 4800 MOD 256 = 192 (DEC number) = $C0 (Hex) (low-byte)
==> HEX number(h3h2h1h0) = $12C0
HEX $x0 $x1 $x2 $x3 $x4 $x5 $x6 $x7 $x8 $x9 $xA $xB $xC $xD $xE $xF
$0x 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
$1x 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
$2x 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47
$3x 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63
$4x 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79
$5x 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95
$6x 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111
$7x 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127
$8x 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143
$9x 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159
$Ax 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175
$Bx 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191
$Cx 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207
$Dx 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223
$Ex 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239
$Fx 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255