Conversion Table: Hexadecimal and Decimal Fractions
BYTE BITS 0123 4567
Hex Decimal Hex Decimal Hex .0 .0000 .00 .()()()() 0000 .000 .()()()()
.1 .0625 .01 .0039 0625 .001 .0002 .2 .1250 .02 .0078 1250 .002 .0004 .3 .1875 .03 .0117 1875 .003 .0007 .4 .2500 .04 .0156 2500 .004 .0009 .5 .3125 .05 .0195 3125 .005 .0012 .6 .3750 .06 .0234 3750 .006 .0014 .7 .4375 .07 .0273 4375 .007 .0017
.8 .5000 .08 .0312 5000 .008 .0019 .9 .5625 .09 .0351 5625 .009 .0021 .A .6250 .OA .0390 6250 .OOA .0024 · B
.6875 .OB .0429 6875 .OOB .0026 .C .7500 .OC .0468 7500 .OOC .0029
.D .8125 .00 .0507 8125 .000 .. 0031 • E .8750 .OE .0546 8750 .OOE .0034 • F
.9375 .OF .0585 9375 .OOF .0036
1 2 TO CONVERT .ABC HEXADECIMAL TO DECIMAL Find.A in position I .6250 Find .OB in position 2 .0429 6875
Find .00<: in position 3 .0029 2968 7500
. ABC Hex is equal to .6708 9843 7500 TO CONVERT .13 DECIMAL TO HEXADECIMAL HALFWORD
3 BYTE 0123 4567
Decimal Hex Decimal Equivalent 0000 4414 8828
3242
7656 2070 6484 0898 5312
9726
4140
8554
2968
7382
1796 6210 0000 .0000 .0000 0000 0000 0000 0625 .0001 .0000 1525 8789 0625 1250 .0002 .0000 3051 7578 1250 1875 .0003 .0000 4577 6367 1875 2500 .0004 .0000 6103 5156 2500
3125 .0005 .0000 7629 3945 3125 3750 .0006 .0000 9155 2734 3750 4375 .0007 .0001 0681 1523 4375 5000 .0008 .0001 2207 0312 5000 5625 .0009 .0001 3732 9101 5625 6250 .OOOA .0001 5258 7890 6250 6875 .OOOB .0001 6784 6679 6875 7500 .OOOC .0001 8310 5468 7500
8125 .OOOD .0001 9836 4257 8125 8750 .OOOE .0002 1362 3046 8750 9375 .OOOF .0002 2888 1835 9375
4
To convert fractions beyond the capocity of table, use techniques below:
HEXADECIMAL FRACTION TO DECIMAL Convert the hexodecimal fraction to its decimal equivalent using the same
technique as for integer numbers. Divide the results by 16
n
(n is the
number of fraction positions) .
Example: .8A7 = .54077110 8A7
1
6 = 2215 10 .540771
16
3
= 4096 409612215 .000000 1. Find .1250 next lowest to
subtract .1300 -.1250 = .2 Hex
2. Find .0039 0625 next lowest to .0050 0000 -.0039 0625 = .01 3. Find.OOO9 7656 2500 .0010 9375 0000 -.0009 7656 2500 = .004 4. Find .0001 0681 1523 4375 .0001 1718 7500 ()()()() -.0001 0681 1523 4375 = .0007 .0000 1037 5976 5625 = .2147 Hex
5 .• 13 Decimal is approximately equal to _______ --J+ DECIMAL FRACTION TO HEXADECIMAL
Collect integer ports of product in the order of colculation.
Example: .540810 = .8A716 .5408 1
8 A'- 7 .- x16 [].6528 x16 fi:QI.4448 x16 [].1l68 Appendix F. Hexadecimal Tables F-7

Hexadecimal Addition and Subtraction Table
Exemple: 6 + 2 = 8, 8 - 2. 6, and 8 -6 .. 2
1 2 3 4 5 6 7 8 9 A B C 0 E F
1 02 03 04 05 06 07 08 09 OA OB OC OD OE OF 10 2 03 04 05 06 07 08 09 OA OB OC 00 OE OF 10 11
3 04 05 06 07 08 09 OA OB OC OD OE OF 10 11 12 4 05 06 07 08 09 OA OB OC OD OE OF 10 11 12 13
5 06 07 08 09 OA OB OC 00 OE OF 10 11 12 13 14 6 07 08 09 OA OB OC OD OE OF 10 11 12 13 14 15
7 08 09 OA OB OC 00 OE OF 10 11 12 13 14 15 16
8 09 OA OB OC 00 OE OF 10 11 12 13 14 15 16 17
9 OA OB OC 00 OE OF 10 11 12 13 14 15 16 17 18
A OB OC 00 OE OF 10 11 12 13 14 15 16 17 18 19
B OC 00 OE OF 10 11 12 13 14 15 16 17 18 19 lA C OD OE OF 10 11 12 13 14 15 16 17 18 19 lA lB
0 OE OF 10 11 12 13 14 15 16 17 18 19 lA 18 lC E OF 10 11 12 13 14 15 16 17 18 19 lA lB lC 10
F 10 11 12 13 14 15 16 17 18 19 lA 18 lC 10 IE Hexadecimal Multiplication Table.
Example: 2 x" = 08, F x 2 = IE 1 2 3 4 5 6 7 8 9 A B C 0 E F
1 01 02 03 04 05 06 07 08 09 OA OB oc 00 OE OF 2 02 04 06 08 OA oc OE 10 12 14 16 18 lA lC IE 3 03 06 09 oc OF 12 15 18 lB IE 21 24 27 2A 20 4 04 08 oc 10 14 18 lC 20 24 28 2C 30 34 38 3C 5 05 OA OF 14 19 IE 23 28 20 32 37 3C 41 46 4B 6 06 oc 12 18 IE 24 2A 30 36 3C 42 48 4E 54 5A
7 07 OE 15 lC 23 2A 31 38 3F 46 40 54 5B 62 69
8 08 10 18 20 28 30 38 40 48 50 58 60 68 70 78
9 09 12 lB 24 20 36 3F 48 51 5A 63 6C 75 7E 87
A OA 14 IE 28 32 3C 46 SO SA 64 6E 78 82 8C 96
B OB 16 21 2C 37 42 40 58 63 6E 79 84 8F 9A AS C oc 18 24 30 3C 48 54 60 6C 78 84 90 9C M '84 0 OD lA 27 34 41 4E 5B 68 75 82 8F 9C A9 B6 C3 E OE lC 2A 38 46 54 62 70 7E 8C 9A M B6 C4 02
F OF IE 20 3C 4B SA 69 78 87 96 AS 84 C3 02 E1
F-8 System/370 Principles of Operation