HEXADECIMAL AND DECIMAL c:ONVERSION
To find the
decimal
number,
locate
the Hex number and
its
decimal
equivalent for
eachposition.
Add
these
to obtain the
decimal
number. To find
the
Hex
number,
locate
the
next.
lower
decimal
number and
its
Hex
equivalent.
Each difference
is
used
to obtain the next Hex number until the
entire
number
is
developed.
BYTE
BYTE
BYTE
0123
4567
0123 4567 0123 4567
HEX
DEC
HEX
DEC
f!EX
DEC
HEX
DEC
HEX
DEC
HEX
DEC
0
0
0 0 0
0
0
0 0 0 0 0
1
1,
048,
576
1 65, 536 1
4,
096 1 256 1 16 1 1
2
2,
097'
152
2 131, 072 2 8, 192 2 512
2
32
2
2
3 3, 145, 728 3 196, 608 3 12, 288 3 768
3 48
3 3
4 4, 194, 304 4 262, 144 4 16, 384 4 1, 024
4 64 4
4
5 5, 242, 880 5
327'
680
5
20, 480 5
1, 280
5
80
5
5
6
6,291,456
6 393, 216 6 24, 576 6 1, 536
6 96
6 6
7 7, 340, 032 7 458, 752 7 28, 672 7 1, 792
7
112 7 7
8 8, 388, 608 8 524, 288 8 32, 768 8
2, 048
8 128 8 8
9
9,
437'
184
9 589, 824 9 36, 864 9 2, 304
9 144 9
9
A 10, 485, 760
A 655, 360 A
40, 960
A 2, 560
A 160
A
10
B 11, 534, 336 B 720, 896 B 45, 056 B 2, 816 B 176 B
11
c 12, 582, 912
c
786, 432 c 49, 152
c
3, 072 c
192
c 12
D 13, 631, 488
D
851, 968
D
53, 248
D 3, 328
D 208 D 13
E 14, 680, 064
E
917, 504
E
57'
344
E 3, 584 E 224 E
14
F 15, 728, 640
F
983, 040
F 61, 440 F 3, 840
F 240
F
15
6
5 4
3 2
1
HEXADECIMAL ADDITION
8 9
A B c D E F
02 03 04 05 06 07 08 09 OA OB
oc
OD OE
OF
10
03 04 05 06 07 08 09 OA OB
oc
OD
OE
OF
10
11
04
05 06 07 08 09
OA
OB
oc
OD
OE
OF
10
11 12
05 06 07 08 09 OA OB
oc
OD
OE
OF
10
11
12 13
06
07
08 09
OA
OB
oc
OD OE
OF
10
11
12
13 14
07 08 09 OA OB
oc
OD
OE
OF
10
11 12 13
14 15
08 09
OA
OB
oc
OD
OE
OF
10
11
12 13
14 15 16
09 OA
OB
oc
OD OE OF
10
11 12
13
14 15
16
17
OA
OB
oc
OD
OE
OF
10
11
12
13
14 15 16
17 18
A OB
oc
OD
OE
OF
10
11
12 13
14
15 16
17
18 19
B
oc
OD
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
D
OE
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
1B
lC
1D
F
10
11
12 13
14 15
16 17
18 19
lA
1B
lC
1D
1E
IBM
CONFIDENTIAL
S/360
33