Xerox 550 Reference Manual page 170

HEXADECNAL-DECIMAL INTEGER CONVERSION TABLE
The table below provides for direct conversions between hexa-
Hexadecimal fractions may be converted to decimal fractions
decimal integers in the range O-FFF and decimal integers in as follows:
the range 0-4095. For conversion of larger integers, the
table values may be added to the following figures:
1. Express the hexadecimal fraction as an integer times
16- n , where n is the number of significant hexadecimal
Hexadecimal Decimal
Hexadecimal Decimal
places to the right of the hexadecimal point.
01 000
4096 20 000 131 072
O. CA9BF3 16 = CA9 BF3 16 x 16-6
02000
8 192 30000 196608
03000
12288 40 000 262 144 2.
Find the decimal equivalent of the hexadecimal integer
04 000 16384 50000 327680
05 000
20480 60000 393 216
CA9 BF3
16
= 13 278 195
10
06 000 24576
70000 458752
07000 28672 80 000 524288 3.
Multiply the decimal equivalent by 16-n
08000 32768 90 000
589824
09000 36864 AOooo 655 360
13 278 195
OA 000
40 960 BO 000 720896
x 596 046 448 x 10- 16
OB 000 45056 CO 000
786 432 0.791 442096
10
OC 000
49152 00000 851 968
00000
53248 EO 000 917 504
Decimal fractions may be converted to hexadecimal fractions
OE 000 57344 FO 000 983040
by successively multiplying the decimal fraction by 16 10 .
OF 000 61 440 100 000 1 048576
After each multiplication, the integer portion is removeO to
10000 65536 200000 2097 152
form a hexadecimal fraction by building to the right of the
11000
69632 300 000 3 145 728
hexadecimal point. However, since decimal arithmetic is
12000
73728 400 000 4 194304
used in this conversion, the integer portion of each product
13000 77824 500 000 5 242880
must be converted to hexadecimal numbers.
14000 81 920 600 000 6 291 456
15000 86 016 700 000 7340032
Example: Convert 0.89510 to its hexadecimal equivalent
16000 90 112 800 000 8388608
0.895
17000 94208 900 000 9437 184
18000
98304
AOO 000 10 485 760
@.3~~
19000 102400
BOO 000
11 534 336
I
lL
lA 000 106 496 COO 000 12582912
d
~
@.120
lB 000 110592 DOO 000 13631 488
~~
lC 000 114688 Eoo 000 14680-064
10000 118784 Foo 000 15 728640
IE 000 122880 1000000 16777 216
0.E51E 16 •
~
IF 000 126 976 2000000 33554432
0 1 2 3 4 5 6
7
8
9 A B C 0
E F
000 0000 0001 0002 0003 0004 0005 0006 0007 0008 0009 0010 0011
0012 0013 0014 0015
010 0016 0017 0018 0019 0020 0021 0022 0023
0024 0025 0026 0027 0028 0029 0030 0031
020 0032 0033 0034 0035 0036 0037 0038 0039 0040 0041
0042 0043 0044 0045 0046 0047
030 0048 0049 0050 0051 0052 0053 0054 0055 0056
0057 0058 0059 0060 0061
0062 0063
040
0064 0065 0066 0067 0068 0069 0070 0071 0072 0073 0074 0075 0076 0077 0078 0079
050 0080 0081 0082 0083 0084 0085 0086 0087
0088 0089 0090 0091 0092 0093 0094 0095
060 0096 0097 0098 0099 0100 0101 0102 0103 0104 0105 0106 0107
0108 0109 0110 0111
070 0112 0113 0114 0115 0116 0117 0118 0119 0120 0121 0122 0123 0124 0125 0126 0127
080 0128 0129 0130 0131 0132 0133 0134 0135
0136 0137 0138 0139 0140 0141 0142 0143
090 0144 0145 0146 0147 0148 0149 0150 0151 0152 0153 0154 0155 0156
0157 0158 0159
OAO
0160 0161 0162 0163
0164 0165 0166 0167 0168 0169 0170 0171
0172 0173 0174 0175
OBO 0176 0177 0178 0179 0180 0181
0182 0183 0184 0185 0186 0187
0188 0189 0190 0191
oeo
0192 0193 0194 0195 0196 0197 0198 0199 0200 0201 0202 0203
0204 0205 0206 0207
000
0208 0209 0210 0211 0212 0213 0214 0215
0216 0217 0218 0219 0220 0221 0222 0223
OEO 0224 0225 0226 0227 0228 0229 0230 0231 0232 0233 0234 0235
0236 0237 0238 0239
OFO 0240 0241 0242 0243 0244 0245 0246 0247 0248 0249 0250 0251
0252 0253 0254 0255
Appendix A 163