IBM 5100 - Hex and Decimal Conversion

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HEX AND DECIMAL CONVERSION
Hex Columns
6 5
4
3
2 1
Hex = Dec Hex = Dec Hex = 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
0123 4567 0123 4567 0123 4567
Byte Byte Byte
From decimal to hex: (1) Locate the largest decimal value in the table that will fit into the decimal
number to be converted,
(2) note its hex equivalent and hex column position, and (3) find the decimal
remainder. Repeat the process on this and subsequent remainders.
Example: Decimal Value
Hex Equivalent
Columns
4 3
2 1
19,367
(1 )
16,384
--
(2)--4
(3)
2,983
I
2,816
· I B
167
I
160
. I I
A
7
J t
t
7
4 B A7
Numbering Systems A-5