Conversion Table: Hexadecimal and Decimal Fractions
HALFWORD 1- _____ ____ _4------------___,r__.-....:B::..:Y:....;T..::E---.- __ .... ____ . _____ -I BITS 0123 4567 0123 4567 ------ - ----- .. - I--_H_ex-+_D_ec_i_m_a_1 +-H_e_x-t- ___ D_e_c_im_a_1 _-f_H_e_x---+ _____ D_e_c_im_a_I __ _____1I__.-H-e-x-f---.--.- ___ ... . 0 .0000 .00 .0000 0000 .000 .0000 0000 0000 .0000 .0000 0000 0000 0000 1----'-'. 1=--+--'-'. 0--='6
7
25:"-+--'-'. 0--=.1--+-.--=.00-=-3;..:9=-----=0--=.6
7
25=----1f---.:.-=-00=--=1'---1-------.:.-=-00::..::0=-=2---=-44.::..:1=-=4---=-06=--=2=-=-5-1---:":. -- --])000 - -'·1525"--- 8789-- 0625--- .2 . 1250 .02 .0078 1250 .002 .0004 8828 1250 .0002 .0000 3051 7578 1250 1---'-::. 3.--f--.-;-1""87""5:--1--. M
03
.---i--'-;. 0""'"1 =17::.------;1-;;;87;..5=-+---'-. - 4517 --- 6367-1875---- .4 .2500 .04 .0156 2500 .004 .0009 7656 2500 .0004 .0000 - --61 03 5156 2500 I--=--':. -t--.:,;. :,. -- - 7629 --'3945- - -3ill-- - .6 .3750 .06 .0234 3750 .006 .0014 6484 3750 .0006 .0000 -9155- .-- 2734 3750 1---'-::,7;--1----'.-"-:4;:;;37:;-;:5:--1--. 0;;-;7;;-t--,-;. .0001 . 068-1 - "f5234375 1-':';:. - 22@----03f2 5000---' 1--'--':' -+-----,--,,' 09::.,-+---,-. 0"",3'-"'.5-:,-1 _--=5"="62,=,,5,-+---,-,, __ --...!.:' .- 3732 ----9101 5625-'--'- -
.A .6250 .OA .0390 6250 .00A .0024 4140 6250 .000A .0001--- 6250 1__':':' 1 = _ _ =: :}875=- .C .7500 .OC .0468 7500 .00C .0029 2968 7500 .OOOC .0001 8310 5468 7500 .D .8125 .00 .0507 8125 .OOD .0031 7382 8125 .OOOD - :0001 9836--- 4257 .E .8750 .OE .0546 8750 .OOE .0034 -- --- -i362-- 3046- .. 1--=. F'---f---'.=9"-'37=-=5-1----'-. O=F'---4--'-'. 0:.::5....:.:85"--'------"9:.:..:37"-'5'---4----'-. oo=F-+-- .0036 6210 9375 .000F· - :0002 -:r88S--' - TS3S- - 9375--- -. --.-------------- .. _- __ ______ ______ ______ ____________ __ ________ ______________ . ___ 4 _________________ TO CONVERT .ABC HEXADECIMAL TO DECIMAL Find.A in position 1
Find .OB in position 2
.6250 .0429 6875
Find .OOC in position 3 .0029 2968 7500
. ABC Hex is equal to .6708 9843 7500 TO CONVERT .13 DECIMAL TO HEXADECIMAL 1. Find .1250 next lowest to .1300 subtract -.1250
2. Find .0039 0625 next lowest to .0050 0000 -.0039 0625 3. Find .0009 7656 2500 . 00109375 0000 -.0009 7656 2500 4. Find .0001 0681 1523 4375 .0001 1718 7500 0000 = .2Hex
= .01 = .004 -.0001 0681 1523 4375 = .0007 .0000 1037 5976 5625 = .2147Hex
5 .. 13 Decimal is approximately equal to -----------..:.1. To convert fractions beyond the capacity of table, use techniques below: HEXADECIMAL FRACTION TO DECIMAL Convert the hexadecimal 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 = 221510
.540771
16
3 = 4096 409612215 .000000 DECIMAL FRACTION TO HEXADECIMAL Collect integer ports of product in the order of calculation . Example: .540810 = .8A716 .5408 1
8 ...- A"'- 7 ...... x16 1].6528 x16 [QJ.4448 x16 111·1168 Appendix G. Hexadecimal Tables 285

Hexadecimal Addition and Subtraction Table Example: 6 + 2 = 8, 8 -2 = 6, and 8 -6 == 2 I 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 00 OE OF 10 2 03 04 05 06 07 08 09 OA OB OC 00 OE OF 10 Tl
3 04 05 06 07 08 09 OA OB OC 00 Of 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 Of OF 10 11 12 13 14 6 07 08 09 OA OB OC 00 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 00 OE OF 10 11 12 13 14 15 16 17 18 19 lA lB
0 Of OF 10 11 12 13 14 15 16 17 18 19 lA lB 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 IA lB lC 10 IE Hexadecimal Multiplication Table Example: 2 l( 4 = 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 1 B IE 21 24 27 2A 20 4 0.4 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 50 5A 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 AS B4 0 00 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 AS B6 C4 02
F Of IE 20 3C 4B 5A 69 78 87 96 AS B4 C3 02 El
286 System/370 Principles of Operation