FunkTronic Major BOS 8a, Manual

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mbos8a_eng (13.03.2014)
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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 ( h
3
h
2
h
1
h
0
):
HEX number ( h
3
h
2
) = DEC number DIV 256 (high-byte)
HEX number ( h
1
h
0
) = 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 = h
3
x 4096 + h
2
x 256 + h
1
x 16 + h
0
Example: DEC number = 4800 --> HEX number = ?
1) HEX number( h
3
h
2
) = 4800 DIV 256 = 18 (DEC number) = $ 12 (Hex) (high-byte)
2) HEX number(
h
1
h
0
) = 4800 MOD 256 = 192 (DEC number) = $
C0
(Hex) (low-byte)
==> HEX number( h
3
h
2
h
1
h
0
) = $ 12C0
HEX $x 0 $x 1 $x 2 $x 3 $x 4 $x 5 $x 6 $x 7 $x 8 $x 9 $x A $x B $x C $x D $x E $x F
$ 0 x 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
$ 1 x 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
$ 2 x 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47
$ 3 x 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63
$ 4 x 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79
$ 5 x 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95
$ 6 x 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111
$ 7 x 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127
$ 8 x 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143
$ 9 x 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159
$ A x 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175
$ B x 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191
$ C x 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207
$ D x 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223
$ E x 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239
$ F x 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255